TR 1.30pm-3pm, DRL 4C6
Primary Text
The primary text is Walter Rudin, Principles of Mathematical Analysis, 3rd Edition.
Class Notes
- from real numbers to metric spaces
- complete metric spaces, continuous functions, compactness, and connectedness
- the derivative and the integral
- sequences of functions (updated 18 April)
Other Resources
It is always helpful to have more than one perspective on a subject. Therefore you might consider consulting the following accounts of introductory real analysis:
- Jerrold Marsden and Michael Hoffman, Elementary Classical Analysis
- Gilbert Weinstein, Advanced Calculus
- James Muldowney, Lecture Notes for Mathematics 217-317
This list is not compendious. Much ink has been spilled on this subject.
Exam 2 has been distributed by email.
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Homework Assignments
- Homework Set 1: pdf, LaTeX. Due 18 January.
- Homework Set 2: pdf, LaTeX. Due 25 January.
- Homework Set 3: pdf, LaTeX. Due 1 February.
- Homework Set 4: pdf, LaTeX. Due 8 February.
- Homework Set 5: pdf, LaTeX. Due 22 February. selected answers
- Homework Set 6: pdf, LaTeX. Due 1 March.
- Homework Set 6.5: pdf, LaTeX. Not due.
- Homework Set 7: pdf, LaTeX. Due 15 March.
- Homework Set 8: pdf, LaTeX. Due 22 March.
- Homework Set 9: pdf, LaTeX. Not due.
- Homework Set 10: pdf, LaTeX. Due 12 April.
- Homework Set 11: pdf, LaTeX. Not due.