Cezar Lupu

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


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

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

\bullet  CALCULUS III -Individual report & Comments

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 IIIndividual 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 2Final
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 MATHEMATICSReviews

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 ENGINEERSReviews

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 1Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12
Departamental Final
Reference:

\bullet CALCULUS IIReviews

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 ALGEBRAReviews (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 IReviews

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 IIIReviews

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 IIReviews

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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