My Profile on RATE MY PROFESSORS **(University of Pittsburgh)**

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Statement of teaching philosophy

Teaching challenge

Teaching Portfolio (2012-2017) **(University of Pittsburgh)**

2016 Elizabeth Baranger Teaching Award (Diploma, Photo Ceremony) **(University of Pittsburgh)**

: PUTNAM SEMINAR (MATH 1010) (lecture & recitation-1 section)

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 and ), Linear Algebra II (matrices of size and advanced techniques: eigenvalues, eigenvectors, spectral theorem, rank of a matrix, etc), Analysis I (Sequences and series of real numbers), Analysis II (Continuity and differentiability), Analysis III (Integra calculus)

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.

: CALCULUS III (MATH 0240) (lecture-1 section)

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.

: ADVANCED CALCULUS II (MATH 1540) (recitation-1 section (graduate))

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.

: CALCULUS III (MATH 0240) (recitation-2 sections) & ADVANCED CALCULUS I (MATH 1530) (recitation-1 section (undergraduate))

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.

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.

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.

: CALCULUS III (MATH 0240) (lecture-1 section)

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.

: ADVANCED CALCULUS II (MATH 1540) (recitation-2 sections (undergraduate & graduate))

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.

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.

: ADVANCED CALCULUS I (MATH 1530) (recitation-2 sections (undergraduate & graduate))

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.

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.

: INTRODUCTION TO THEORETICAL MATHEMATICS (MATH 413) (recitation-1 section)

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.

: ADVANCED CALCULUS II (MATH 1540) (recitation-2 sections (undergraduate & graduate))

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.

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.

: ADVANCED CALCULUS I (MATH 1530) (recitation-2 sections (undergraduate & graduate))

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.

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.

: DIFFERENTIAL EQUATIONS FOR ENGINEERS (MATH 0290) (lecture-1 section)

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.

: CALCULUS I (MATH 0220) (recitation-2 sections) & CALUCLUS II (MATH 0230) (recitation-1 section)

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:

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 1Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12

Departamental Final

Reference:

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:

: BUSINESS CALCULUS (MATH 0120) (recitation-3 sections)

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:

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:

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:

: COLLEGE ALGEBRA (MATH 0031) (lecture-1 section; recitation-1 section)

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:

: CALCULUS I (MATH 0220) (recitation-1 section) & CALUCLUS III (MAth 0240) (recitation-1 section)

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:

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:

: CALCULUS I (MATH 0220) (recitation-2 sections) & CALUCLUS II (MATH 0230) (recitation-1 section)

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:

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:

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:

: 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)

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.

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.

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.

: DIFFERENTIAL EQUATIONS AND COMPLEX ANALYSIS FOR ELECTRONIC ENGINEERS (MATH III) (recitation-2 sections)

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.

: CALCULUS FOR COMPUTER ENGINEERS (MATH I) (recitation-1 section), CALCULUS FOR AUTOMATICS ENGINEERS (MATH I) (recitation-1 section)

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.

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.

: 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)

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.

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.

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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