Fall 2010, MATH 312: Real Analysis
NOTE: SOLUTIONS NO LONGER AVAILABLE

Instructor: Dan Thompson

Textbook: Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, Springer

Meeting time:

Section 1: MWF 1.25-2.15, 106 Osmond.
Section 2:  MWF 2.20-3.20, 103 Osmond.

Final exam:

8.00am-9.50am, Tuesday December 14th, 110 Business.

The syllabus is here.

Midterm will be held in class on October 18th.

This is the place to find course announcements and homeworks through the semester.

Homework 1: Textbook - Exercises 1.1, 1.6, 3.6 and 7.1. Due Friday 3rd September in class.
Selected solutions are available here

Homework 2:  Due Friday 10th September in class. Available here
Solutions available here

Homework 3:  For credit: Exercises 8.1 part a) and b) only, 8.7 part a) only, 8.10. Due Friday 17th September in class.
Recommended additional exercise (not for credit): 8.4.
Selected solutions available here

Homework 4: Due on 24th september. Questions 8.2, 8.6, 9.2, 9.9, 9.10. Selected solutions here

Quiz 1 solutions here

Homework 5: Due 1st October. Questions 4.7, 4.14, 10.2, 10.4. Selected solutions here

Homework 6: Due 15th October. Available here. Selected solutions here

Homework 7: Due friday 29th October.  Questions 14.1 a)-d) only, 14.5 a)-b) only, 14.7.
Selected solutions here

Homework 8: Due friday 12th November. Questions:
15.1 (hint: Use Alternating Series Theorem),
15.6,
16.1 part a) only,
17.9 parts a) and b) only.
17.10 parts a), b), c) only (hint: Using definition 17.1 will be a lot easier),
17.5 (hint: Use the definition of continuity in terms of sequences (definition 17.1 in the textbook) and use limit laws for sequences).
Selected solutions here

Homework 9: Due friday 3rd December in class
Questions: 18.5, 18.6, 19.1 all parts, and 19.2 parts a) and b) only.
Selected solutions here

Homework 10: (Not for credit) 'Due' friday 10th december. Questions:
20.11 parts a) and c) only
20.13 parts a) and b) only. Hint: this is easy, just use algebra of limits
23.1 parts a) and c) and e)
28.7

Selected solutions here