Assignments for Real Analysis


Assignment 16: Due Friday, Dec 6

Page 79-80: 3,4,6,7,10,12

Page 83: 1,2

Assignment 15: Due Friday, Nov 22

Here it is

Assignment 14: Due Monday, Nov 18

See this handout

Assignment 13: Due Friday, Nov 8

See this handout For Wednesday study Excursion 5.1 and 5.2

Assignment 12: Due Friday, Nov 1

Problems 3 and 5 on page 147.

Prove part 2 of the ratio test (page 163)

Prove parts 1 and 2 of the root test (page 164)

Two additional problems to be assigned in class.

Also be prepared to present solutions to these problems in class on Friday.

Hint: The problem 2 on page 146 of the textbook (which we will prove in class) will be useful for many of these proofs.

Assignment 11: Read Excursions 3.1, 3.2 and the rest of 4.5

Assignment 10: See this handout

Assignment 9: Exursion 4.3, Due 10/11

Turn in: 3 and 4

Class discussion: 1 and 2

Assignment 8: Sections 3.6, Excursion 4.2 Due 10/04

3.6: Turn in: 7, 8 a-c (not d).

Present the ones assigned in class.

Excursion 4.2 (page 155): Turn in:1f, 2a, 3b, 4.

Assignment 7: Sections 3.3-3.5
Problems to turn in:  (due Friday 9/27)
3.3: 3, 5 and 8
3.4: 2
3.5: 1,3
We will discuss 3.3 on Monday and 3.4 & 3.5 on Wed in class. Please study the sections before the discussions, try the exercises and come with questions.

Assignment 6: Section 3.1
Begin presenting problems (in pairs) on Wed. 9/18 (4,5 and 7 on Wed, 8, 9 on Friday)
Feel free to see me before your presentation.
Write up to turn in problems 2, 3, 6 and 11 on Friday, 9/20.

Assignment 5: Chapter 2
Write up to hand in on F  9/13: Problems 1, 2 and 5.
Work on to present in class Problems 3 and 4.

Assignment 4: Section 1.4
Write up to turn in on Friday, 9/6: 1,2 and 6.
Work on to present in class: 3, 4 and 5.

Assignment 3: Study section 1.4 for Monday. We learn about one of the most important properties/axioms of Real Numbers: The Least Upper Bound Axiom. This is what distinguishes R from Q.

Assignment 2: Write up 3,5,8 and 10 to turn in on Monday, 9/3.   Work on the others to present in class on Friday, 8/30.

Assignment 1: Get a copy of the textbook from the book store (if you haven't done so already). Read Chapter 0 and Sections 1.1 and 1.2 by Wednesday. Write up problems 2, 3 and 5 to turn in on Friday.
Be prepared to discuss the rest of the problems in 1.2 in class on Wednesday.