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HTTP/2 301 server: nginx date: Wed, 31 Dec 2025 02:15:52 GMT content-type: text/html; charset=UTF-8 location: https://lupucezar.wordpress.com/teaching/ x-hacker: Want root? Visit join.a8c.com/hacker and mention this header. host-header: WordPress.com vary: accept, content-type, cookie x-pingback: https://lupucezar.wordpress.com/xmlrpc.php x-redirect-by: WordPress x-ac: 2.bom _dca MISS alt-svc: h3=":443"; ma=86400 strict-transport-security: max-age=31536000 server-timing: a8c-cdn, dc;desc=bom, cache;desc=MISS;dur=342.0 HTTP/2 200 server: nginx date: Wed, 31 Dec 2025 02:15:53 GMT content-type: text/html; charset=UTF-8 vary: Accept-Encoding x-hacker: Want root? Visit join.a8c.com/hacker and mention this header. host-header: WordPress.com vary: accept, content-type, cookie x-pingback: https://lupucezar.wordpress.com/xmlrpc.php link: ; rel=shortlink content-encoding: gzip x-ac: 4.bom _dca MISS alt-svc: h3=":443"; ma=86400 strict-transport-security: max-age=31536000 server-timing: a8c-cdn, dc;desc=bom, cache;desc=MISS;dur=746.0 Teaching « Cezar Lupu

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Cezar Lupu

Home » Teaching

Teaching

$\blacklozenge$ My Profile on RATE MY PROFESSORS (Texas Tech University)
$\blacklozenge$ My Profile on RATE MY PROFESSORS (University of Pittsburgh)
$\blacklozenge$ Statement of teaching philosophy (2022)
$\blacklozenge$ Teaching evaluations (2012-2022) (Texas Tech University & University of Pittsburgh)
$\blacklozenge$ Teaching Portfolio (2012-2022) (Texas Tech University & University of Pittsburgh)
$\blacklozenge$ The 2023 Distinguished Teaching Award (Diploma) (Qiuzhen College, Tsinghua University)
$\blacklozenge$ The 2016 Elizabeth Baranger Teaching Award (Diploma, Photo Ceremony) (University of Pittsburgh)

$\bigstar$ $\Huge{\mathbf{TSINGHUA}}$ $\Huge{\mathbf{UNIVERSITY}}$ & $\Huge{\mathbf{BEIJING}}$ $\Huge{\mathbf{INSTITUTE}}$ $\Huge{\mathbf{OF}}$ $\Huge{\mathbf{MATHEMATICAL}}$ $\Huge{\mathbf{SCIENCES}}$ $\Huge{\mathbf{AND}}$ $\Huge{\mathbf{APPLICATIONS}}$ $\Huge{(\mathbf{2022-present})}$

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2025}$ : INTRODUCTION TO ANALYTIC NUMBER THEORY (lecture)

$\bullet$ INTRODUCTION TO ANALYTIC NUMBER THEORY

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2025}$ : CREATIVE PROBLEM SOLVING (lecture)

$\bullet$ CREATIVE PROBLEM SOLVING–Evaluations

Instructor: Cezar Lupu
Teaching Assistants: Yuhao Cheng, Hongyu Wang
Office: Shuanqing Complex Building
Email: lupucezar@bimsa.cn or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Time & place: Tuesday (Lecture) & Wednesday (Recitation) (19:20-20:55 PM), Teaching Building 4A Building, Qiuzhen Hall
Office hours: Wednesday (18:00-19:00 PM) only by prior appointment via e-mail.
Syllabus: here
Exams: Midterm exam–Solutions (due Wednesday, April 16), Final Exam-Solutions
Lecture notes: Elementary algebra, Euclidean geometry and trigonometry, Combinatorics, Probability, Number theory I, Number theory II, Abstract Algebra, Linear Algebra I, Linear algebra II, Real Analysis I, Real Analysis II, Real Analysis III,
Homework: Homework 1 (elementary algebra and geometry-due March 5th), Homework 2 (combinatorics, probability and number theory-due April 9th), Homework 3 (abstract and linear algebra-due May 7th), Homework 4 (real analysis and differential equations-due May 30th)

References:

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
K. Kedlaya, The Putnam archive (1985-2021).
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2024}$ : CREATIVE PROBLEM SOLVING (lecture)

$\bullet$ YMSC-CREATIVE PROBLEM SOLVING

Instructors: Cezar Lupu
Office: Shuanqing Complex Building
Email: lupucezar@bimsa.cn or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Time & place: Thursday (Lecture) & Friday (Recitation) (19.20-20: 55 PM), Shuanqing Complex Building B626
Office hours: Tuesday & Thursday (18:00-19:00 PM) only by prior appointment via e-mail.
Syllabus: here
Lecture notes: Week 1 (Elementary algebra), Week 2 (Euclidean geometry and trigonometry), Week 3 (Combinatorics), Week 4-No classes, Week 5 (Probability), Week 6 (Number theory I), Week 7 (Number theory II), Week 8 (Abstract Algebra), Week 9 (Linear Algebra I), Week 10 (Linear algebra II), Week 11 (Real Analysis I), Week 12 (Real Analysis II), Week 13 (Real Analysis III), Week 14 (Real Analysis IV)
Homework: Homework 1 (elementary algebra and geometry-due October 15th), Homework 2 (combinatorics, probability and number theory-due November 1st), Homework 3 (abstract and linear algebra-due November 15th), Homework 4 (real analysis and differential equations-due December 2nd)

References:

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
K. Kedlaya, The Putnam archive (1985-2021).
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2023}$ : INTRODUCTION TO ANALYTIC NUMBER THEORY (lecture)

$\bullet$ INTRODUCTION TO ANALYTIC NUMBER THEORY–Evaluations

Instructors: Cezar Lupu, Dongsheng Wu
Office: room B2 West Road Yanqi Lake
Email: lupucezar@bimsa.cn or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Time & place: Monday (13.30-16: 05 PM), Teaching Building 6, A103
Office hours: by prior appointment via e-mail.
Syllabus: here
Exams: Midterm exam (take home-due April 29th), Final exam (in class-June 12th)-Solutions
Lecture notes: Chapter 1 (The big picture of analytic number theory), Chapter 2 (A recap of elementary number theory), Chapter 3 (Arithmetic functions and Dirichlet multiplication), Chapter 4 (Asymptotics and averages of arithmetic functions ), Chapter 5 (Elementary results on the distribution of primes), Chapter 6 (The prime number theorem ), Chapter 7 (Dirichlet series), Chapter 8 (Primes in arithmetic progression)
Homework: Homework 1 (Solutions-due March 24th), Homework 2 (Solutions-due April 14th), Homework 3 (Solutions-due May 7th), Homework 4 (Solutions-due May 23rd), Homework 5 (Solutions-due June 7th)

References:

T. Apostol, Introduction to Analytic Number Theory, Springer Verlag, 1998.
H.H. Chan, Analytic Number Theory for Undergraduates, World Scientific Publishing Co.,
2009.
J-M. De Konnick, F. Luca, Analytic Number Theory, Exploring the Anatomy of Integers,
American Mathematical Society Press, 2012.
H. Davenport, H.L. Montgomery, Multiplicative Number theory, Springer Verlag, 2000.
A. Hildebrand, Introduction to Analytic Number Theory, lecture notes, MATH 531 course

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2022}$ : CREATIVE PROBLEM SOLVING (lecture)

$\bullet$ CREATIVE PROBLEM SOLVING–Evaluations

Instructors: Yitwah Cheung, Cezar Lupu
Office: Jing Zhai 220 (Yitwah Cheung), room B2 West Road Yanqi Lake (Cezar Lupu)
Email: lupucezar@bimsa.cn or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Time & place: Thursday & Friday (19.20-20: 55 PM), Teaching Building 6, A115.
Office hours: Tuesday & Thursday (18:00-19:00 PM) only by prior appointment via e-mail.
Syllabus: here
Lecture notes: Week 1 (Elementary algebra), Week 2 (Euclidean geometry), Week 3 (Combinatorics), Week 4 (Probability), Week 5 (Number theory I), Week 6 (Number theory II), Week 7 (Abstract Algebra), Week 8 (Linear Algebra I), Week 9 (Linear algebra II), Week 10 (Real Analysis I-part 1; Real Analysis I-part 2), Week 11 (Real Analysis II), Week 12 (Real Analysis III),
Homework: Homework 1 (elementary algebra and geometry-due October 15th), Homework 2 (combinatorics and number theory-due November 1st), Homework 3 (abstract and linear algebra-due November 15th), Homework 4 (real analysis and differential equations-due December 2nd)

References:

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
K. Kedlaya, The Putnam archive (1985-2021).
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\bigstar$ $\Huge{\mathbf{TEXAS}}$ $\Huge{\mathbf{TECH}}$ $\Huge{\mathbf{UNIVERSITY}}$ $\Huge{(\mathbf{2018-2021})}$

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2021}$ : CALCULUS I WITH APPLICATIONS (MATH 1451) (lecture-1 section)

$\bullet$ CALCULUS I WITH APPLICATIONS–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 241, Math Building TTU
Email: Cezar.Lupu@ttu.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Monday & Wednesday, 12:30-1:50 PM, online via Zoom (link provided in the email)
Office hours: Monday & Wednesday (2-3 PM) and by appointment via e-mail.
Syllabus: here

Current recorded video lectures: Lecture 1 (Graph and functions), Lecture 2 (Inverse functions), Lecture 3 (Limits), Lecture 4 (Algebraic computation of limits), Lecture 5 (Continuity), Lecture 6 (Exponentials and logarithms), Lecture 7 (Derivatives-part 1), Lecture 8 (Derivatives-part 2), Lecture 9 (Rules of derivatives), Lecture 10 (Derivatives of trigonometric, exponential and logarithmic functions), Lecture 11 (Applications of derivatives in physics), Lecture 12 (Chain rule), Lecture 13 (Implicit differentiation), Lecture 14 (Exponential, logarithmic differentiation and related rates), Lecture 15 (Linear approximation and differentials-part 1), Lecture 16 (Linear approximation and differentials-part 2), Review session for midterm exam, Lecture 17 (Extreme values of continuous functions), Lecture 18 (Mean value theorems), Lecture 19 (Sketching the graph of a function), Lecture 20 (Curve sketching with asymptotes: Limits involving infinity), Lecture 21 (L’Hospital), Lecture 22 (Optimization in physical sciences, engineering, business, biology), Lecture 23 (Antidifferentiation), Lecture 24 (Area as the limit of a sum), Lecture 25 (The definite integral), Lecture 26 (The fundamental theorem of calculus), Lecture 27 (integration by substitution), Lecture 28 (The Mean value theorem for integrals: the average value), Lecture 29 (Numerical integration formulas), Review session for the final exam.

Exams: Gateway I (online), Midterm exam (March 22-solutions), Gateway II (online), Final exam (May 10th-online)

Previous recorded video lectures and notes (Fall 2020): Lecture 1 (The big picture of calculus–notes), Lecture 2 (Distance, lines in the plane, and parametric equations–notes), Lecture 3 (Graphs and functions–notes), Lecture 4 (Classification of functions and inverse functions–notes), Lecture 5 (Limits of functions–notes), Lecture 6 (Algebraic computation of limits–notes), Lecture 7 (Continuity–notes), Lecture 8 (Exponential and logarithmic functions–notes), Lecture 9 (Problems with limits and continuity–notes), Lecture 10 (An introduction to derivates: tangents–notes), Lecture 11 (Techniques of differentiation–notes), Lecture 12 (Derivatives of trigonometric, exponential and logarithmic functions–notes), Lecture 13 (Rates of change: Modeling rectilinear motion–notes), Lecture 14 (Implicit and logarithmic differentiation–notes), Lecture 15 (Related rates, linear approximation, and differentials–notes), Lecture 16 (Extreme values of continuous functions and the mean value theorem–notes), Lecture 17 (Using derivatives to sketch the graph of a function–notes), Review session 1 (Midterm exam–notes), Lecture 18 (Curve sketching with asymptotes: Limits involving infinity–notes), Lecture 19 ( L’Hospital rule–notes), Lecture 20 (Optimization in physical sciences, engineering, economics and business–notes), Lecture 21 (Antidifferentiation–notes), Lecture 22 (Area as the limit of the sum: Riemann sums–notes), Lecture 23 (Fundamental theorem of calculus and integration by substitution–notes), Lecture 24 (The Mean value theorem for integrals–notes), Lecture 25 (Numerical integration formulas–notes), Review session 2 (Final exam-notes), Entire video playlist.

Lecture notes and slides: Chapter 1 (Slides-Graphs and functions, Inverse functions), Chapter 2 (Slides-Limits, Calculating limits, Continuity, Exponential and logarithmic), Chapter 3 (Slides-Derivatives, Derivatives rules, Derivatives of trigonometric, exponential, and logarithmic functions, Applications to physics, Chain rule, Implicit differentiation, Related rates, Linear approximation and differentials), Chapter 4 (Slides-Extreme values of a continuous function, The mean value theorem, Using derivatives to sketch the graph of a function, Curve sketching with asymptotes: limits at infinity, L’Hospital rule, Optimization in the physical sciences and engineering), Chapter 5 (Slides-Antidifferentiation, Area as the limit of a sum, Riemann sums and the definite integral (part 1), Riemann sums and the definite integral (part 2), The fundamental theorem of calculus, Integration by substitution, The mean value theorem for integrals; average value, Numerical integration: The trapeizodal rule and Simpson rule),

Homework: WebWork (Online)

Previous exams (Fall 2020): Gateway I (online), Gateway II (online), Midterm exam (solutions), Final exam (December 8th-online)
Previous exams (Fall 2019): Gateway exam I (October 15-Solutions), Midterm exam (November 5-Solutions), Gateway exam II (November 21-Solutions), Practice midterm exam, Final exam (December 10), Practice final exams (Spring 2011, Fall 2011, Spring 2012, Fall 2012, Spring 2013)

References:

K. J. Smith, M. Strauss, M. Toda, Calculus, 7th edition, Kendall Hunt, 2017.
Paul’s Online Notes.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2020}$ : CALCULUS I WITH APPLICATIONS (MATH 1451) & PROBLEM SOLVING FOR PUTNAM (MATH 4000) (lecture-1 section)

$\bullet$ CALCULUS I WITH APPLICATIONS–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 241, Math Building TTU
Email: Cezar.Lupu@ttu.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Online-recorded videos
Office hours: Tuesday (2-3 PM) and by appointment via e-mail.
Syllabus: here
Recorded video lectures: Lecture 1 (The big picture of calculus–notes), Lecture 2 (Distance, lines in the plane, and parametric equations–notes), Lecture 3 (Graphs and functions–notes), Lecture 4 (Classification of functions and inverse functions–notes), Lecture 5 (Limits of functions–notes), Lecture 6 (Algebraic computation of limits–notes), Lecture 7 (Continuity–notes), Lecture 8 (Exponential and logarithmic functions–notes), Lecture 9 (Problems with limits and continuity–notes), Lecture 10 (An introduction to derivates: tangents-notes), Lecture 11 (Techniques of differentiation-notes), Lecture 12 (Derivatives of trigonometric, exponential and logarithmic functions-notes), Lecture 13 (), Lecture 14, Lecture 15, Lecture 16 (Extreme values of continuous functions and the mean value theorem-notes), Lecture 17 (Using derivatives to sketch the graph of a function-notes), Review session 1 (Midterm exam–notes), Lecture 18 (-notes)
Lecture notes: Chapter 1 (Slides-Graphs and functions, Inverse functions), Chapter 2 (Slides-Limits, Calculating limits, Continuity, Exponential and logarithmic), Chapter 3 (Slides-Derivatives, Derivatives rules, Derivatives of trigonometric, exponential, and logarithmic functions, Applications to physics, Chain rule, Implicit differentiation, Related rates, Linear approximation and differentials), Chapter 4 (Slides-Extreme values of a continuous function, The mean value theorem, Using derivatives to sketch the graph of a function, Curve sketching with asymptotes: limits at infinity, L’Hospital rule, Optimization in the physical sciences and engineering), Chapter 5 (Slides-Antidifferentiation, Area as the limit of a sum, Riemann sums and the definite integral (part 1), Riemann sums and the definite integral (part 2), The fundamental theorem of calculus, Integration by substitution, The mean value theorem for integrals; average value, Numerical integration: The trapeizodal rule and Simpson rule)
Homework: WebWork (Online),
Exams: Gateway I (online), Gateway II (online), Midterm exam (solutions), Final exam (December 8th-online)
Previous exams: Gateway exam I (October 15-Solutions), Midterm exam (November 5-Solutions), Gateway exam II (November 21-Solutions), Practice midterm exam, Final exam (December 10), Practice final exams (Spring 2011, Fall 2011, Spring 2012, Fall 2012, Spring 2013)
References:

K. J. Smith, M. Strauss, M. Toda, Calculus, 7th edition, Kendall Hunt, 2017.
Paul’s Online Notes.

$\bullet$ PROBLEM SOLVING FOR PUTNAM

Instructors: Cezar Lupu (lecturer),
Office: Math 241, Math Building TTU
Email: Cezar.Lupu@ttu.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Tuesday & Thursday (12.30-1.50 PM) online via Zoom
Office hours: Tuesday & Thursday (2-3 PM) and by appointment via e-mail.
Syllabus: here
Lecture videos & notes: Lecture 0 (An invitation to the Putnam seminar), Lecture 1 (Elementary Algebra I–notes), Recitation 1 (Elementary Algebra I–notes), Lecture 2 (Elementary algebra II–notes), Lecture 2. 1 (Elementary algebra II–notes), Recitation 2 (Elementary Algebra II–notes), Lecture 3 (Geometry and Trigonometry–notes), Lecture 3. 1 (Geometry and Trigonometry–notes), Lecture 3. 2 (Geometry and Trigonometry–notes), Recitation 3 (Geometry and Trigonometry–notes), Recitation 3. 1 (Geometry and Trigonometry–notes), Lecture 4 (Combinatorics–notes), Lecture 4. 1 (Combinatorics–notes), Recitation 4 (Combinatorics–notes), Lecture 5 (Number Theory I-notes), Lecture 5. 1 (Number Theory I-notes), Recitation 5 (Number Theory I-notes), Lecture 6 (Number Theory II-notes), Lecture 6. 1 (Number Theory II-notes), Recitation 6 (Number Theory II-notes), Lecture 7 (Abstract algebra-notes), Recitation 7 (Abstract algebra-notes), Lecture 8 (Linear Algebra I-notes), Lecture 9 (Linear Algebra II-notes), Lecture 10 (Linear Algebra III-notes), Lecture 11 (Real Analysis I-notes), Lecture 12 (Real Analysis II-notes), Lecture 13 (Real Analysis III-notes), Lecture 14 (Real Analysis IV-notes), Lecture 15 (Real Analysis V-notes), Lecture 16 (Real Analysis VI-notes)
Homework: Worksheet 1 (elementary algebra and geometry), Worksheet 2 (combinatorics and number theory), Worksheet 3 (abstract and linear algebra), Worksheet 4 (real analysis and differential equations)
References:

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\blacktriangleright$ $\mathbf{Summer}$ $\mathbf{2020}$ : LINEAR ALGEBRA (MATH 2360-D 01) (lecture-1 section)

$\bullet$ LINEAR ALGEBRA–Evaluations

Ron Larson, Elementary Linear Algebra (8th edition), published by Cengage.
Sergei Treil, Linear Algebra Done Wrong, published by Brown University.
Tom Denton, Andrew Waldron, Linear Algebra in Twenty Five Lectures, UC Davis course.
Gilbert Strang, Introduction to Linear Algebra, MIT course.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2020}$ : ADVANCED CALCULUS II (MATH 4351), LINEAR ALGEBRA (MATH 2360) (lecture-1 section)

$\bullet$ ADVANCED CALCULUS II–Evaluations

R Bartle, D. R. Sherbert, Introduction to Real Analysis (4th edition), published by John Wiley & Sons Inc., 2011.
My lecture notes.
Jiri Lebl, Basic Analysis I, online version 2018.

$\bullet$ LINEAR ALGEBRA–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 241, Math Building TTU
Email: Cezar.Lupu@ttu.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Tuesday & Thursday (12.30-1.50 PM), Mathematics Building, room 111
Office hours: Tuesday & Thursday (2-3.30 PM) and by appointment via e-mail.
Syllabus: here
Lecture notes: Chapter 1 (Systems of linear equations), Chapter 2 (Matrices), Chapter 3 (Determinants), Review session for Midterm Exam, Chapter 4 (Vector spaces), Chapter 5 (Linear transformations), Chapter 6 (Eigenvalues and Eigenvectors), Review session for the Final Exam.
Exams: Exam 1 (March 12-Solutions), Final Exam (May 12)
Previous Exams from Spring 2019: Exam 1 (February-March 7-Solutions), Exam 2 (April 29-Solutions), Final Exam (May 9-Solutions)
Homework: WebWork
References:

Ron Larson, Elementary Linear Algebra (8th edition), published by Cengage.
Sergei Treil, Linear Algebra Done Wrong, published by Brown University.
Tom Denton, Andrew Waldron, Linear Algebra in Twenty Five Lectures, UC Davis course.
Gilbert Strang, Introduction to Linear Algebra, MIT course.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2019}$ : CALCULUS I WITH APPLICATIONS (MATH 1451) & PROBLEM SOLVING FOR PUTNAM (MATH 4000) (lecture-1 section)

$\bullet$ CALCULUS I WITH APPLICATIONS–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 241, Math Building TTU
Email: Cezar.Lupu@ttu.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Tuesday (11.00 AM-12.20 PM) & Thursday (10.00 Am-12.20 PM)
Office hours: Tuesday & Thursday (2-3.30 PM) and by appointment via e-mail.
Syllabus: here
Lecture notes: Chapter 1 (Slides-Graphs and functions, Inverse functions), Chapter 2 (Slides-Limits, Calculating limits, Continuity, Exponential and logarithmic), Chapter 3 (Slides-Derivatives, Derivatives rules, Derivatives of trigonometric, exponential, and logarithmic functions, Applications to physics, Chain rule, Implicit differentiation, Related rates, Linear approximation and differentials), Chapter 4 (Slides-Extreme values of a continuous function, The mean value theorem, Using derivatives to sketch the graph of a function, Curve sketching with asymptotes: limits at infinity, L’Hospital rule, Optimization in the physical sciences and engineering), Chapter 5 (Slides-Antidifferentiation, Area as the limit of a sum, Riemann sums and the definite integral (part 1), Riemann sums and the definite integral (part 2), The fundamental theorem of calculus, Integration by substitution, The mean value theorem for integrals; average value, Numerical integration: The trapeizodal rule and Simpson rule)
Homework: WebWork (Online), Extra credit homework (Written)
Exams: Gateway exam I (October 15-Solutions), Midterm exam (November 5-Solutions), Gateway exam II (November 21-Solutions), Practice midterm exam, Final exam (December 10), Practice final exams (Spring 2011, Fall 2011, Spring 2012, Fall 2012, Spring 2013)
References:

K. J. Smith, M. Strauss, M. Toda, Calculus, 7th edition, Kendall Hunt, 2017.
Paul’s Online Notes.

$\bullet$ PROBLEM SOLVING FOR PUTNAM

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\blacktriangleright$ $\mathbf{Summer II}$ $\mathbf{2019}$ : INTRODUCTION TO BASIC ANALYSIS (MATH 5367) (lecture-1 section)

$\bullet$ INTRODUCTION TO BASIC ANALYSIS II–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 205, Math Building TTU
Email: or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: online
Office hours: Friday (10-12 PM) and by appointment via e-mail.
Syllabus: here
Lecture notes: Chapter 5 (Sequences of real numbers), Chapter 6 (Limits and Continuity of Functions), Chapter 7 (Differentiability of Functions), Chapter 8 (Riemann and Continuity of Integrals)
Exams: NO exams! Final grade will based on homework assignments
Homework: Homework 1 (due July 19th), Homework 2 (due July 31st), Homework 3 (due August 10th-EXTRA Credit)
Some other references:

My lecture notes.
Jiri Lebl, Basic Analysis I, online version 2018.

$\blacktriangleright$ $\mathbf{Summer I}$ $\mathbf{2019}$ : INTRODUCTION TO BASIC ANALYSIS (MATH 5366) (lecture-1 section)

$\bullet$ INTRODUCTION TO BASIC ANALYSIS I–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 205, Math Building TTU
Email: or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: online
Office hours: Friday (12-2 PM) and by appointment via e-mail.
Syllabus: here
Lecture notes: Chapter 1 (Logic and Quantifiers), Chapter 2 (Set Theory and Functions), Chapter 3 (Real Numbers), Chapter 4 (Mathematical Induction)
Exams: Final Exam Project (due July 5-6)
Homework: Homework 1 (due June 26th-Solutions), Homework 2 (due July 6th-Solutions)
Some other references:

My lecture notes.
Jiri Lebl, Basic Analysis I, online version 2018.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2019}$ : LINEAR ALGEBRA (MATH 2360) (lecture-1 section)

$\bullet$ LINEAR ALGEBRA–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 205, Math Building TTU
Email: or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Tuesday & Thursday (9.30-10.50), Electrical Engineering Building, room 101
Office hours: Tuesday & Thursday (11-12.30) and by appointment via e-mail.
Syllabus: here
Lecture notes: Chapter 1 (Systems of linear equations), Chapter 2 (Matrices), Chapter 3 (Determinants), Review session for Exam 1, Chapter 4 (Vector spaces), Chapter 5 (Linear transformations), Review sesstion for Final Exam
Exams: Exam 1 (February-March 7-Solutions), Exam 2 (April 29-Solutions), Final Exam (May 9-Solutions)
Homework: WebWork
References:

Ron Larson, Elementary Linear Algebra (8th edition), published by Cengage.
Sergei Treil, Linear Algebra Done Wrong, published by Brown University.
Tom Denton, Andrew Waldron, Linear Algebra in Twenty Five Lectures, UC Davis course.
Gilbert Strang, Introduction to Linear Algebra, MIT course.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2018}$ : FOUNDATIONS OF ALGEBRA II (MATH 4360) & PROBLEM SOLVING (MATH 4000) (lecture-1 section)

$\bullet$ FOUNDATIONS of ALGEBRA II–Evaluations

Instructors: Cezar Lupu (lecturer),
Office: Math 205, Math Building TTU
Email: or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Tuesday & Thursday (11-12.20)
Office hours: Monday & Wednesday (13-14), Tuesday (12.30-13.30) and by appointment via e-mail.
Syllabus: here
Lecture notes: Outline of the course, Chapter 6 (Rings), Chapter 7 (Ring Homomorphisms), Review session (Part I) & Review session (Part II), Chapter 8 (Rings of Polynomials), Chapter 9 (Euclidian Domains), Chapter 10 (Field Theory) Review session (Final part)
Exams: Exam 1 (October 18-Solutions), Exam 2 (due November 27-Solutions), Final Exam (December 7-Solutions)
Homework: HW 1 (due September 20-Solutions to selected problems) HW 2 (due October 18-Solutions to selected problems) HW 3 (November 27) HW 4
References:

A. Papantonopoulou, Algebra, Pure and Applied, Pearson Publishers, 2002.
Thomas W. Judson, Abstract Algebra. Theory and Applications, Online edition, 2018

$\bullet$ PROBLEM SOLVING

Instructors: Cezar Lupu (lecturer),
Office: Math 205, Math Building TTU
Email: or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Class times: Monday (14-15.20) & Wednesday (14-15/15.20)
Office hours: Monday & Wednesday (13-14), Tuesday (12.30-13.30) and by appointment via e-mail.
Syllabus: here
Lecture notes: Week1, Week 2 (Elementary algebra II: mathematical induction, integer polynomials and functional equations), Week 3, Week 4 (Abstract algebra: Group, rings and fields), Week 5, Week 6, Week 7, Week 8, Week 9, Week 10, Week 11, Week 12, Week 13, Week 14, Week 15
Homework: HW 1 (due September 10), HW 2 (due October 3), HW 3 (due October 15), HW 4 (due November 21)
References:

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\bigstar$ $\Huge{\mathbf{UNIVERSITY}}$ $\Huge{\mathbf{OF}}$ $\Huge{\mathbf{PITTSBURGH}}$ $\Huge{(\mathbf{2012-2018})}$

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2018}$ : INTRODUCTION TO ANALYSIS (MATH 0420) (recitation-1 section)

$\bullet$ INTRODUCTION TO ANALYSIS–Teaching Survey Report

Instructors: George Sparling (lecturer), Cezar Lupu (recitation)
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com/teaching/
Schedule recitation: Tuesdays, 5.30-6.20 PM, and occasionally Thursday, 5.30-6.20 PM, Allen Hall 103
Office hours: Tuesday, 3-5.30 PM (Thackeray Hall-7th floor lounge) and by appointment via e-mail.
Syllabus: here
Recitation notes: Week 1, Week 2, Week 3, Week 4,5 & 6, Week 7, Review session, Week 8, Week 9, Week 10
Exams: Exam 1, Exam 2, Final Exam
Homework: HW 1 (due January 19), HW 2, HW 3, HW 4, HW 5, HW 6, HW 7, HW 8, HW 9, HW 10
References:

J. Lebl, Introduction to Analysis, with University of Pittsburgh suplements, Fall 2011.
P. Hajlasz, Introduction to Analysis-lecture notes, University of Pittsburgh, Spring 2010.
M. B. Finan, An Introductory Single Variable Real Analysis through Problem Solving, Arkansas Tech University, 2017.
J. K. Hunter, An Introduction to Real Analysis-lecture notes, University of California Davis.
M. E. Taylor, Introduction to Analysis in One Variable-lecture notes, University of North Carolina Chapel Hill.
L. Larson, Introduction to Real Analysis-course, University of Louisville.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2017}$ : PUTNAM SEMINAR (MATH 1010) (lecture & recitation-1 section)

$\bullet$ PUTNAM SEMINAR

Instructors: Cezar Lupu & George Sparling
Guest lecturers: Roman Fedorov (faculty), Piotr Hajlasz (faculty), Thomas Hales (faculty), Bogdan Ion (faculty), Derek Orr (Ph.D. student), Cody Johnson (undergraduate student-Carnegie Mellon University)
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule lectures & recitations: Tuesdays & Thursdays, 5.15-7 PM, Thackeray Hall 427
Office hours: Tuesday, 2-5 PM (Thackeray Hall-7th floor lounge).
Syllabus: here
Lecture notes: Week 1: (Elementary) Algebra I-August 29 & 31; Week 2: (Elementary) Algebra II- September 5 & 7; Week 3: Geometry and Trigonometry-September 12 & 14; Week 4: Abstract Algebra-September 19 & Generating Functions-September 21; Week 5: Linear Algebra I-September 26 & 28; Week 6: Linear Algebra II-October 3 & 5; Week 7: Number Theory I-October 10 & 12; Week 8: Number Theory II-October 17 & 19; Week 9: Real Analysis I-October 24 & 26; Week 10: Real Analysis II-October 31 & November 2; Week 11: Combinatorics-November 7 & 9; Week 12: Real Analysis III– November 14 & 16; Week 13: Linear Algebra III-November 21; Week 14: Real Analysis IV– November 28 & 30
Homework: Homework 1 (due September 1st), Homework 2 (due September 12), Homework 3 (due September 19), Homework 4 (due October 3), Homework 5 (due October 10), Homework 6 (due October 24), Homework 7 (October 31), Homework 8 (due November 7), Homework 9 (due November 14th), Homework 10 (due November 21st)
Exams: Putnam Mock Exam 1 (September 23rd), Putnam Mock Exam 2 (October 8th)-Solutions (Another solution to Problem 6), Putnam Mock Exam 3-Session 1 & Session 2 (November 19th)
Solved Problems: Elementary Algebra (Polynomials, Functional Equations, Induction), Linear Algebra I (Matrices and Determinants of sizes $2$ and $3$ ), Linear Algebra II (matrices of size $n$ and advanced techniques: eigenvalues, eigenvectors, spectral theorem, rank of a matrix, etc), Analysis I (Sequences and series of real numbers), Analysis II (Limits, continuity and differentiability on the real line), Analysis III (Integral calculus on the real line)
References:

R. Gelca, T. Andreescu, Putnam and Beyond, Springer Verlag, 2007.
K. Kedlaya, B. Poonen, R. Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002.
L. Larson, Problem-Solving Through Problems, Springer Verlag, 1983.

$\blacktriangleright$ $\mathbf{Summer}$ $\mathbf{2017}$ : CALCULUS III (MATH 0240) (lecture-1 section)

$\bullet$ CALCULUS III –Teaching Survey Report

Instructor: Cezar Lupu
Teaching assistant: Mohan Wu
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule lecture: Monday, Tuesday, Wednesday, Thursday, 6-7.45 PM (Benedum 226)
My office hours: Monday-Thursday, 5-6 PM (MAC) and by appointment in my office.
Schedule recitation: Monday, Tuesday, Wednesday, Thursday, 8-9 PM (Benedum 226)
Syllabus: here
Homework: Homework 1 (due June 1), Homework 2 (due June 22)
Exams: Quiz 1, Quiz 2, Exam 1 (June 1)-Solutions, Quiz 3, Quiz 4, Exam 2 (June 22)-Solutions
Practice Exams: Practice Exam 1, Practice Exam 2, Practice Exam 3, Practice Exam 4, Practice Exam 5, Some other old final exams, Practice problems
References:
[1] P. Hajlasz, Calculus 3, available online (Part 1, Part 2, Part 3).
[2] J. Stewart, Essential Calculus, Early Transcendentals, 2nd edition.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2017}$ : ADVANCED CALCULUS II (MATH 1540) (recitation-1 section (graduate))

$\bullet$ ADVANCED CALCULUS II –Individual report & Comments

Instructor: Jason DeBlois
Teaching assistant: Cezar Lupu
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Group discussions: Facebook group
Schedule recitation: Tuesday, 10-11 AM (G36 Benedum Hall))
Office hours: Tuesday 6-7 PM (MAC), Tuesday 5-6 PM and Wednesday 12-2 PM (LAB).
Syllabus: here
Recitation notes: Weeks 1 & 2: Sequences and series of real numbers (Additional notes 1, Additional notes 2)-January 9 & 17; Weeks 3 & 4: Riemann integral, continuity and integral inequalities (Additional notes)-January 24 & 31; Weeks 5, 6 , 7 & 8: Sequences, series of functions and power series (Additional notes 1, Additional notes 2, Additional notes 3)-February 7, 14 & 21, 28; Week 9: A tale of some useful integral inequalities (video)-March 7; Weeks 10 & 11: Continuity and differentiability of functions of several variables (Additional notes)-March 14 & 21; Weeks 12, & 13 : Inverse and implicit function theorems, extremum problems and Lagrange multipliers (Additional notes)-March 28 & April 4; Weeks 14 & 15: Integral calculus for functions of several variables (Additional notes)-April 11 & 18; Week 16: Sets of measure zero and Lebesgue integration (Additional notes)-April 25; Review session notes 1, Review session notes 2.
Exams: 2 Midterms and a Final
Prelim problems: Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4
Homework: here
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] University of Pittsburgh Preliminary Examination (Real Analysis)
[6] Ohio State University Qualifying Examination (Real Analysis)–Solutions (2000-2013)
[7] University of Lincoln-Nebraska Qualifying Examination (Real Analysis)
[8] University of Missouri-Columbia Qualifying Examination (Real Analysis)
[9] University of California Los Angeles Basic Examination (Analysis part)–Solutions (2001-2013)
[10] University of California Berkeley Preliminary Examination
[11] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.
[12] R. F. Bass, Real Analysis for graduate Students (Second edition) , 2013.
[13] W. Trench, Introduction to Real Analysis, 2013.
[14] P. Hajlasz, Advanced Calculus II (lecture notes), 2012.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2016}$ : CALCULUS III (MATH 0240) (recitation-2 sections) & ADVANCED CALCULUS I (MATH 1530) (recitation-1 section (undergraduate))

$\bullet$ ADVANCED CALCULUS I (UNDERGRADUATE)-Individual report & Comments

Instructor: Patrick Rabier
Teaching assistant: Cezar Lupu
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Tuesday, 11-12 PM (Chevron Hall 106)
Office hours: Tuesday, 1-4 PM & Thursday, 1-2 PM (MAC) and by appointment in my office.
Syllabus:
Exams: Midterm 1, Midterm 2, Final
Homework: HW 1 ( 8, 12, 116(a)-pp. 125-138), HW 2 (13, 14 18, 20-pp. 126 & 109(a), (b), pp. 136), HW 3 (23, 24, 26, 28(a)-(e), 44(a), pp. 127-128), HW 4 (22, 43, 52(a), pp. 127-129), HW 5 (44(b)-(d), 46, 53, 55, 56, pp. 128-130), HW 6 (58(a), 59, 60(b), 66(a), 70, pp. 130-131), HW 7 (33, 58(b), 72(a)-(b), 74, pp. 128-131), HW 8 (82, 96, 122, 124, pp. 133-141), HW 9 (63, 86, 93, 94, 121, pp. 130-140), HW 10 (1,3, 4, 5, 9, pp. 198), HW 11 (8, 11, 13, 15, 41, pp. 198-205).
References:
[1] C. C. Pugh, Real Mathematical Analysis, First edition, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.

$\bullet$ CALCULUS III –Individual report & Comments

Instructor: Linhong Wang
Teaching assistant: Cezar Lupu
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Tuesday & Thursday, 12-1 PM (Thackeray Hall 525)
My office hours: Tuesday, 1-4 PM & Thursday, 1-2 PM (MAC) and by appointment in my office.
Syllabus: here
Homework: LON CAPA
Exams: Quiz 1, Quiz 2, Quiz 3, Quiz 4, Quiz 5, Exam 1 (October 12), Quiz 6, Quiz 7, Quiz 8, Exam 2 (November ??)-Solutions, Quiz 9, Quiz 10, Quiz 11, Final Exam (December 14)-Solutions
Practice Exams: Practice Exam 1, Practice Exam 2, Practice Exam 3, Practice Exam 4, Practice Exam 5, Some other old final exams, Practice problems
References:
[1] P. Hajlasz, Calculus 3, available online (Part 1, Part 2, Part 3).
[2] J. Stewart, Essential Calculus, Early Transcendentals, 2nd edition.
[3] Paul’s Online Math Notes.

$\bullet$ CALCULUS III –Individual report & Comments

Instructor: Piotr Hajlasz
Teaching assistant: Cezar Lupu
Office: 711 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Tuesday & Thursday, 2-3 PM (Thackeray Hall 525)
My office hours: Tuesday, 1-4 PM & Thursday, 1-2 PM (MAC) and by appointment in my office.
Syllabus: here
Homework: LON CAPA
Exams: Quiz 1, Quiz 2, Quiz 3, Quiz 4, Quiz 5, Exam 1 (October 10)-Solutions, Quiz 6, Quiz 7, Quiz 8, Exam 2 (November 11)-Solutions, Quiz 9, Quiz 10, Final Exam (December 14)-Solutions
Practice Exams: Practice Exam 1, Practice Exam 2, Practice Exam 3, Practice Exam 4, Practice Exam 5, Some other old final exams, Practice problems
References:
[1] P. Hajlasz, Calculus 3, available online (Part 1, Part 2, Part 3).
[2] J. Stewart, Essential Calculus, Early Transcendentals, 2nd edition.
[3] Paul’s Online Math Notes.

$\blacktriangleright$ $\mathbf{Summer}$ $\mathbf{2016}$ : CALCULUS III (MATH 0240) (lecture-1 section)

$\bullet$ CALCULUS III –Reviews

Instructor: Cezar Lupu
Teaching assistant: Fawwaz Batayneh
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule lecture: Monday, Tuesday, Wednesday, Thursday, 7-8.45 PM (Thackeray Hall 704)
My office hours: Monday-Thursday, 5-6 PM (MAC) and by appointment in my office.
Schedule recitation: Monday, Tuesday, Wednesday, Thursday, 6-6.50 PM (Thackeray Hall 704)
Syllabus: here
Homework: Homework 1 (due July 21st), Homework 2 (due August 3rd)
Exams: Quiz 1, Quiz 2, Exam 1 (July 14th)-Solutions, Quiz 3, Quiz 4, Exam 2 (August 3rd)-Solutions
References:
[1] P. Hajlasz, Calculus 3, available online (Part 1, Part 2, Part 3).
[2] J. Stewart, Essential Calculus, Early Transcendentals, 2nd edition.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2016}$ : ADVANCED CALCULUS II (MATH 1540) (recitation-2 sections (undergraduate & graduate))

$\bullet$ ADVANCED CALCULUS II (UNDERGRADUATE)-Individual report & Comments

Instructor: George Sparling
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Group discussions: Facebook group
Schedule recitation: Thursday, 3-4 PM (Benedum Hall 158)
Office hours: Tuesday, 4-6 PM & Thursday, 4-5 PM (MAC) and by appointment in my office.
Syllabus: here
Exams: Midterm Final
Homework: Homework 1 (due February 23) Homework 2 (due March 24) Homework 3 (due April 14) Homework 4 (for your own practice)
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.

$\bullet$ ADVANCED CALCULUS II (GRADUATE)-Individual report & Comments

Instructor: Hao Xu
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Group discussions: Facebook group
Schedule recitation: Tuesday, 10-11 AM (105 Lawrence Hall))
Office hours: Tuesday, 4-6 PM & Thursday, 4-5 PM (MAC) and by appointment in my office.
Syllabus: here
Exams: Exam 1 Exam 2 Exam 3 Exam 4 Exam 5 (Prelim type)
Prelim problems: Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4
Homework: Homework 1 (due February 8) Homework 2 (due March 6) Homework 3 (due March 29) Homework 4 (due April 26)
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] University of Pittsburgh Preliminary Examination (Real Analysis)
[6] Ohio State University Qualifying Examination (Real Analysis)–Solutions (2000-2013)
[7] University of Lincoln-Nebraska Qualifying Examination (Real Analysis)
[8] University of Missouri-Columbia Qualifying Examination (Real Analysis)
[9] University of California Los Angeles Basic Examination (Analysis part)–Solutions (2001-2013)
[10] University of California Berkeley Preliminary Examination
[11] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.
[12] R. F. Bass, Real Analysis for graduate Students (Second edition) , 2013.
[13] W. Trench, Introduction to Real Analysis, 2013.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2015}$ : ADVANCED CALCULUS I (MATH 1530) (recitation-2 sections (undergraduate & graduate))

$\bullet$ ADVANCED CALCULUS I (UNDERGRADUATE)-Reviews

Instructor: George Sparling
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Group discussions: Facebook group
Schedule recitation: Tuesday, 11-12 AM (Cathedral of Learning 252)
Office hours: Monday, 2-3 PM & Friday, 12-1 PM, 2-3 PM (MAC) and by appointment in my office.
Syllabus: here
Exams: Midterm Final
Homework: Homework 1 (due September 29) Homework 2 (due October 20) Homework 3 (due November 7) Homework 4 (due December 1) Homework 5 (for your own practice)
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.

$\bullet$ ADVANCED CALCULUS I (GRADUATE)-Reviews

Instructor: Hao Xu
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Group discussions: Facebook group
Schedule recitation: Tuesday, 10-11 AM (316 Old Engineering Hall))
Office hours: Monday, 2-3 PM & Friday, 12-1 PM, 2-3 PM (MAC) and by appointment in my office.
Syllabus: here
Exams: Exam 1 Exam 2 Exam 3 Exam 4 Exam 5
Prelim problems: Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4 Worksheet 5 Worksheet 6
Homework: Homework 1 (due September 29) Homework 2 (due October 20) Homework 3 (due November 3) Homework 4 (due November 24) Homework 5 (due December 8)
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] University of Pittsburgh Preliminary Examination (Real Analysis)
[6] Ohio State University Qualifying Examination (Real Analysis)–Solutions (2000-2013)
[7] University of Lincoln-Nebraska Qualifying Examination (Real Analysis)
[8] University of Missouri-Columbia Qualifying Examination (Real Analysis)
[9] University of California Los Angeles Basic Examination (Analysis part)–Solutions (2001-2013)
[10] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.
[11] R. F. Bass, Real Analysis for graduate Students (Second edition) , 2013.
[12] W. Trench, Introduction to Real Analysis, 2013.

$\blacktriangleright$ $\mathbf{Summer}$ $\mathbf{2015}$ : INTRODUCTION TO THEORETICAL MATHEMATICS (MATH 413) (recitation-1 section)

$\bullet$ INTRODUCTION TO THEORETICAL MATHEMATICS–Reviews

Instructor: Bogdan Ion
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Monday/Tuesday/Wednesday/Thursday, 7.40-8.35 PM (Benedum 0158)
Office hours: Monday/Tuesday/Wednesday/Thursday 5-6 PM, (MAC) and by appointment in my office.
Syllabus: See here
Homework: Homework 1 (due Monday, May 18-Solutions) Homework 2 (due Tuesday, May 26) Homework 3 (due Monday, June 1) Homework 4 (due Monday, June 8) Homework 5 (due Monday, June 15)
Exams: Exam 1 (May 21) Exam 2 (June 4) Exam 3 (June 18)
Projects: Project topics
References and resorces:
[1] J. Lebl, Basic Analysis: Introduction to Real Analysis, 2014.
[2] B. Ion, Introduction to Theoretical Mathematics, lecture notes, 2013
[3] D. Ensley, Discrete Mathematics Sructures, online resource
[4] LaTeX-getting started from Art of Problem Solving, 2003
[5] R. Pakzad, Introduction to Theoretical Mathematics: Logic suplement, 2008.
[6] T. Kilgore, Introduction to Theoretical Mathematics, Auburn University course (MATH 3100), 2013.
[7] P. Hajlasz, Introduction to Analysis, lecture notes, University of Pittsburgh (MATH 450), 2010
[8] W. Trench, Introduction to Real Analysis, 2013.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2015}$ : ADVANCED CALCULUS II (MATH 1540) (recitation-2 sections (undergraduate & graduate))

$\bullet$ ADVANCED CALCULUS II (UNDERGRADUATE)-Reviews

Instructor: George Sparling
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Friday, 4-5 PM (Thackeray 427)
Office hours: Monday/Wednesday/Friday 1-2 PM, (MAC) and by appointment in my office.
Syllabus: See here
Exams: Final
Homework: Homework 1 (due January 30-Solutions) Homework 2 (due March 6-Solutions) Homework 3 (due April 10-Solutions) Homework 4 (for your own practice)
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second edition), W. H. Freeman and Company, 1974.
[5] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.
[6] R. F. Bass, Real Analysis for graduate Students (Second edition) , 2013.
[7] W. Trench, Introduction to Real Analysis, 2013.

$\bullet$ ADVANCED CALCULUS II (GRADUATE)-Reviews

Instructor: Hao Xu
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Tuesday, 10-11 AM (103 Allen Hall)
Office hours: to be determined (MAC) and by appointment in my office.
Syllabus: See here
Exams: Exam 1 Exam 2 Exam 3 Exam 4 Exam 5 Exam 6
Prelim problems: Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4
Homework: Homework 1 Homework 2 Homework 3 Homework 4
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] University of Pittsburgh Preliminary Examination (Real Analysis)
[6] Ohio State University Qualifying Examination (Real Analysis)–Solutions (2000-2013)
[7] University of Lincoln-Nebraska Qualifying Examination (Real Analysis)
[8] University of Missouri-Columbia Qualifying Examination (Real Analysis)
[9] University of California Los Angeles Basic Examination (Analysis part)–Solutions (2001-2013)
[10] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.
[11] R. F. Bass, Real Analysis for graduate Students (Second edition) , 2013.
[12] W. Trench, Introduction to Real Analysis, 2013.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2014}$ : ADVANCED CALCULUS I (MATH 1530) (recitation-2 sections (undergraduate & graduate))

$\bullet$ ADVANCED CALCULUS I (UNDERGRADUATE)-Reviews

Instructor: George Sparling
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Tuesday, 11-12 AM (316 Old Engineering Hall)
Office hours: Monday/Wednesday/Friday, 1-2 PM (MAC) and by appointment in my office.
Syllabus: to be determined
Exams: Midterm 1 (October 14) Midterm 2 (November 25) Final (December 13)
Homework: Homework 1 (due September 16-Solutions) Homework 2 (due October 8-Solutions) Homework 3 (due November 4-Solutions) Homework 4 (due November 18-Solutions) Homework 5 (due December 1-Solutions)
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.

$\bullet$ ADVANCED CALCULUS I (GRADUATE)-Reviews

Instructor: Hao Xu
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule recitation: Tuesday, 10-11 AM (104 Lawrence Hall)
Office hours: Monday/Wednesday/Friday, 1-2 PM (MAC) and by appointment in my office.
Syllabus: See here
Exams: Midterm 1 (October 24) Midterm 2 (November 21) Final (December 10)
Prelim problems: Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4 Worksheet 5 Worksheet 6
Homework: Homework 1 Homework 2 Homework 3 Homework 4 Homework 5 Homework 6
References:
[1] C. C. Pugh, Real Mathematical Analysis, Springer Verlag, 2010.
[2] P. N. Souza, J. N. Silva, Berkeley Problems in Mathematics (Third Edition), Springer Verlag, 2004.
[3] W. Rudin, Principles of Mathematical Analysis (Third Edition), Mc Graw-Hill, 1976.-Solution Manual
[4] J. E Marsden, M. J. Hoffman, Elementary Classical Analysis (Second Edition), W. H. Freeman and Company, 1974.
[5] University of Pittsburgh Preliminary Examination (Real Analysis)
[6] Ohio State University Qualifying Examination (Real Analysis)–Solutions (2000-2013)
[7] University of Lincoln-Nebraska Qualifying Examination (Real Analysis)
[8] University of Missouri-Columbia Qualifying Examination (Real Analysis)
[9] University of California Los Angeles Basic Examination (Analysis part)
[10] B.R. Gelbaum, J. M. Olmsted, Counterexamples in Analysis, Dover Publications Inc., 1964.

$\blacktriangleright$ $\mathbf{Summer}$ $\mathbf{2014}$ : DIFFERENTIAL EQUATIONS FOR ENGINEERS (MATH 0290) (lecture-1 section)

$\bullet$ DIFFERENTIAL EQUATIONS FOR ENGINEERS–Reviews

Instructor: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule class: Tuesday & Thursday, 6-7.45 PM (216 Public Health)
Office hours: Tuesday 4-6 PM (MAC) and by appointment in my office.
Syllabus: Homework 30%, Midterms 40% (2 midterms), Final Exam 30%, Project (Bonus) 20% or 30% (depending on the project)
Homework: Homework 1 (due June 17; Solutions HW 1) Homework 2 (due July 3; Solutions HW 2) Homework 3 (due July 14; Solutions HW 3) Homework 4 (due July 31; Solutions HW 4)
Exams: Midterm 1 (July 2, Thackeray 704) Midterm 2 (July 25, Thackeray 704) Final (August 1, Thackeray 704)
Projects: Projects (Attachment 1 Attachment 2)
References:
[1] J. Polking, A. Bogges, D. Arnold, Differential Equations with Boundary Value Problems, Peerson Patience Hall, 2006.
[2] W. Boyce, R. Di Prima, Elementary Differential Equations and Boundary Value Problems, Wiley and Sons Inc, 2009.
[3] I. Vrabie, Differential Equations: An Introduction to Basic Concepts, Results and Applications, World Scientific, 2004.
[4] D. G. Gill, A First Course in Differential Equations with Applications, PWS Publishers (3-rd Edition), 1986.
[5] J. R. Chasnov, Introduction to Differential Equations, Lecture notes-Hong Kong University, 2009.
[6] E. J. Ionascu, Differential Equations Lecture Notes, Columbus State University, 2015.

Important announcements

1. I will update details about the projects soon. Projects will usually consist of writing notes and giving an oral presentation around 30 minutes pertaining to the topic chosen.
2. Regarding homework, you may collaborate with each other. However, you must write solutions individually. Homework copied one from another are disregarded.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2014}$ : CALCULUS I (MATH 0220) (recitation-2 sections) & CALUCLUS II (MATH 0230) (recitation-1 section)

$\bullet$ CALCULUS I (First section)-Reviews

Instructor: Alexander Borisov
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 4-5 PM (Allen 106)
Exams: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9
Departamental Final
Reference:

$\bullet$ CALCULUS I (Second section)-Reviews

Instructor: Jared Burns
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 2-3 PM (Thackeray Hall 525)
Exams: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Midterm 1 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12
Departamental Final
Reference:

$\bullet$ CALCULUS II–Reviews

Instructor: Angela Athanas
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Recitation schedule: Tuesday & Thursday, 12-1 PM (Cathedral of Learning 313)
Exams: See here
Departamental Final
Reference:

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2013}$ : BUSINESS CALCULUS (MATH 0120) (recitation-3 sections)

$\bullet$ BUSINESS CALCULUS (First Section)-Reviews

Instructor: Corinne Brucato
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 9-10 AM (Cathedral of Learning 313)
Exams: Quiz 1 Quiz 2 Quiz 3 Review Test 1 Quiz 4 Quiz 5 Review Test 2 Quiz 6 Quiz 7 Quiz 8 Quiz 9
Departamental Final
Reference:

$\bullet$ BUSINESS CALCULUS (Second Section)-Reviews

Instructor: Elayne Arrington
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Recitation schedule: Tuesday & Thursday, 12-1 PM (Alen 103)
Exams: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Sample Exam
Departamental Final
Reference:

$\bullet$ BUSINESS CALCULUS (Third Section)-Reviews

Instructor: Jeffrey Wheller
Teaching assistant: Cezar Lupu
Office: 415 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 4-5 PM (Cathedral of Learning 352)
Exams: Quiz 1 Quiz 2 Quiz 3 Midterm 1 Quiz 4 Quiz 5 Quiz 6 Midterm 2 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12
Departamental Final
Reference:

$\blacktriangleright$ $\mathbf{Summer}$ $\mathbf{2013}$ : COLLEGE ALGEBRA (MATH 0031) (lecture-1 section; recitation-1 section)

$\bullet$ COLLEGE ALGEBRA–Reviews (Lecture) Reviews (Recitation)

Instructor: Cezar Lupu
Teaching assistant: Cezar Lupu
Office: 526 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Class schedule: Monday-Friday, 5.45-8.30 PM (Cathedral of Learning 244B)
Office hours: Monday-Thursday, 3-5 PM (MAC) and by appointment in my office
Syllabus: Homework 30%, My MathLab 10%, Midterm 30%, Final Exam 30%
Exams: Quiz 1 Quiz 2 Quiz 3 Midterm Final
Reference:

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2013}$ : CALCULUS I (MATH 0220) (recitation-1 section) & CALUCLUS III (MAth 0240) (recitation-1 section)

$\bullet$ CALCULUS I–Reviews

Instructor: Sheng Xiong
Teaching assistant: Cezar Lupu
Office: 526 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Monday & Wednesday, 7.20-8.10 PM (Thackeray Hall 525)
Exams: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Midterm 1 Quiz 7 Quiz 8
Reference:

$\bullet$ CALCULUS III–Reviews

Instructor: Jeromy Sivek
Teaching assistant: Cezar Lupu
Office: 526 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Monday & Wednesday, 6-7 PM (Thackeray Hall 627)
Reference:

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2012}$ : CALCULUS I (MATH 0220) (recitation-2 sections) & CALUCLUS II (MATH 0230) (recitation-1 section)

$\bullet$ CALCULUS I (First section)-Reviews

Instructor: Eugene Trofimov
Teaching assistant: Cezar Lupu
Office: 526 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 11-11.50 AM (Public Health 719)
Exams: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Midterm Quiz 7 Improvement quiz Quiz 8 Quiz 9
Reference:

$\bullet$ CALCULUS I (Second section)-Reviews

Instructor: Angela Athanas
Teaching assistant: Cezar Lupu
Office: 526 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 1-2 PM (Victoria Building 116)
Exams: See here
Reference:

$\bullet$ CALCULUS II–Reviews

Instructor: Robert Rosenbaum
Teaching assistant: Cezar Lupu
Office: 526 Thackeray Hall
Email: cel47@pitt.edu or lupucezar@gmail.com (preferred one)
Webpage: lupucezar@wordpress.com
Schedule Recitation: Tuesday & Thursday, 7.25-8.15 PM (Cathedral of Learning 236)
Exams: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6
Reference:

$\bigstar$ $\Huge{\mathbf{POLITEHNICA}}$ $\Huge{\mathbf{UNIVERSITY}}$ $\Huge{\mathbf{OF}}$ $\Huge{\mathbf{BUCHAREST}}$ $\Huge{(\mathbf{2009-2011})}$

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2011}$ : CALCULUS FOR COMPUTER ENGINEERS (MATH I) (recitation-1 section), CALCULUS FOR ELETRONICS ENGINEERS (MATH I) (recitation-1 section) & CALCULUS FOR CHEMICAL ENGINEERS-FILS (MATH II-FILS) (recitation-1 section)

$\bullet$ CALCULUS FOR COMPUTER ENGINEERS

Instructor: Radu Gologan
Teaching assistant: Cezar Lupu
Webpage: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T.L. Costache, Analiza Matematica: Culege de Probleme, Ed. Printech, 2009.
[2] M. OLteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.
[3] R. Gologan, A, Halanat, G. I. Sebe, O. Dragulete, Probleme de Examen: Analiza Matematica, Ed. Matrix Rom, 2004.

$\bullet$ CALCULUS FOR ELECTRONICS ENGINEERS

Instructor: Antonela Toma
Teaching assistant: Cezar Lupu
Webpage: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T.L. Costache, Analiza Matematica: Culege de Probleme, Ed. Printech, 2009.
[2] M. Olteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.
[3] R. Gologan, A, Halanay, G. I. Sebe, O. Dragulete, Probleme de Examen: Analiza Matematica, Ed. Matrix Rom, 2004.

$\bullet$ CALCULUS FOR CHEMICAL ENGINEERS

Instructor: Mircea Olteanu
Teaching assistant: Cezar Lupu
Webpage: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
Reference:
[1] M. Olteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.

$\blacktriangleright$ $\mathbf{Spring}$ $\mathbf{2011}$ : DIFFERENTIAL EQUATIONS AND COMPLEX ANALYSIS FOR ELECTRONIC ENGINEERS (MATH III) (recitation-2 sections)

$\bullet$ DIFFERENTIAL EQUATIONS AND COMPLEX ANALYSIS FOR ELECTRONIC ENGINEERS (Both sections)

Instructor: Luminita Costache
Teaching assistant: Cezar Lupu
Web-page: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T. L. Costache, Curs de Analiza Matematica 2, Ed. Printech, 2009.
[2] T. L. Costache, Curs de Matematici Speciale, Ed. Printech, 2009.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2010}$ : CALCULUS FOR COMPUTER ENGINEERS (MATH I) (recitation-1 section), CALCULUS FOR AUTOMATICS ENGINEERS (MATH I) (recitation-1 section)

$\bullet$ CALCULUS FOR COMPUTER ENGINEERS

Instructor: Mircea Olteanu
Teaching assistant: Cezar Lupu
Web-page: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T.L. Costache, Analiza Matematica: Culege de Probleme, Ed. Printech, 2009.
[2] M. Olteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.
[3] R. Gologan, A, Halanay, G. I. Sebe, O. Dragulete, Probleme de Examen: Analiza Matematica, Ed. Matrix Rom, 2004.

$\bullet$ CALCULUS FOR AUTOMATICS ENGINEERS

Instructor: Radu Gologan
Teaching assistant: Cezar Lupu
Web-page: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T.L. Costache, Analiza Matematica: Culege de Probleme, Ed. Printech, 2009.
[2] M. Olteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.
[3] R. Gologan, A, Halanay, G. I. Sebe, O. Dragulete, Probleme de Examen: Analiza Matematica, Ed. Matrix Rom, 2004.

$\blacktriangleright$ $\mathbf{Fall}$ $\mathbf{2009}$ : CALCULUS FOR AUTOMATICS ENGINEERS (MATH I) (recitation-1 section), CALCULUS FOR ELETRONICS ENGINEERS (MATH I) (recitation-2 sections) & ABSTRACT AND LINEAR ALGEBRA FOR AUTOMATICS ENGINEERS (MATH II) (recitation-1 section)

$\bullet$ CALCULUS FOR AUTOMATICS ENGINEERS

Instructor: Roxana Vidican
Teaching assistant: Cezar Lupu
Web-page: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T.L. Costache, Analiza Matematica: Culege de Probleme, Ed. Printech, 2009.
[2] M. Olteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.

$\bullet$ CALCULUS FOR ELECTRONICS ENGINEERS (Both sections)

Instructor: Antonela Toma
Teaching assistant: Cezar Lupu
Web-page: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com
References:
[1] T.L. Costache, Analiza Matematica: Culege de Probleme, Ed. Printech, 2009.
[2] M. Olteanu, Notiuni Teoretice si Probleme Rezolvate, Ed. Printech, 2005.
[3] R. Gologan, A, Halanay, G. I. Sebe, O. Dragulete, Probleme de Examen: Analiza Matematica, Ed. Matrix Rom, 2004.

$\bullet$ ABSTRACT AND LINEAR ALGEBRA FOR AUTOMATICS ENGINEERS

Instructor: Ioana Luca
Teaching assistant: Cezar Lupu
Web-page: lupucezar@wordpress.com
E-mail: lupucezar@gmail.com

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Overview of the course CALCULUS III (MATH 0240), Summer 2016, University of Pittsburgh « Cezar Lupu says:

July 6, 2016 at 12:54 am

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