Instructor: Piotr Hajlasz
Office Hours: Monday 12:00-2:00pm, and by appointment.
Office: 420 Thackeray Hall
Email: hajlasz@pitt.edu
Textbook:
Advanced Calculus I (pages 1-296)
Advanced Calculus I (supplementary materials)
Reccomended books:
1. Berkeley Problems in Mathemtics, Third Edition, by P. N. De Souza and J.-N. Silva
This is an excellent collection of problems for the course. Problems have full solutions. Chapters 1,2,4 cover much of the material needed for the Preliminary Exam in Analysis. Other chapters contain excelelnt problems for other graduate courses like Linear Algebra, Algebra, Analysis II and Ordinary Differential Equations. This book is a must for any Ph.D. student.
2. Elementary Classical Analysis , Second Edition, by J. E. Marsden and M. J. Hoffman
3. Principles of Mathematical Analysis, by W. Rudin
4. Mathematical Analysis, Second Edition, by T. M. Apostol
5. Real Mathematical Analysis by Ch. Ch. Pugh.
Exams: dates TBA
Course Grade: Homework (30%) + Midterm exams (30%) + Final exam (40%)
Homework: Posted weakly on the course webpage. Solutions must be returned to your TA. Solutions must be typed in LaTeX using the template provided below. If you are new to LaTeX, I recommend using https://overleaf.com.
Late homework will not be accepted. Homework will not be graded, but checked for completeness. However, there will be quizzes during recitations with problems taken verbatim from the homework.
HW#1 (LaTeX file) HW#1 (pdf file) February 4, recitations.
HW#2 (LaTeX file) HW#2 (pdf file) January 28, recitations.
HW#3 (LaTeX file) HW#3 (pdf file) February 18, recitations.
HW#4 (LaTeX file) HW#4 (pdf file) March 17, recitations.
HW#5 (LaTeX file) HW#5 (pdf file) Due date: never.