MAT 513 Spring 2013 Course Information

Homework Assignments:

Homework 1 Due Monday, February 3.

Section 3.2 Exercises: 3, 4, 6, 8, 10. Read sections 3.2 through 3.4.

Homework 2 Due Monday, February 10. Postponed due to snow, ice and "an abundance of caution."

Revised Due Date: Monday, February 17.

Section 3.3 Exercises: 1, 3, 7. More may be posted by 5pm on Thursday, February 13.

Homework 3 Due Monday, February 24.

Section 3.3 Exercises: 8, 12 a, b,

Section 3.4 Exercises 1, 3, 5, 7, 12, 15

Homework 4 Due Monday, March 3.

Section 3.5 Exercises 3, 4, 5, 8, 12

More may be posted by 5pm on Thursday, February 27.

Exam 1 is now scheduled for Monday, March 10.

Exam 1 will cover through section 4.2.

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Penultimate Homework Due Wednesday, May 7

Section 6.2 Exercises 5, 6, 8, 13

Section 6.3 Exercises 3, 5, 13

Section 5.2 Exercise 9: Determine whether the function is continuous at x=3, and prove your result.

Last Homework Due Monday, May 12

Section 6.4: These problems are in the book:

1: Let f(x) = sin(x). Find p_6 for f at x=0. How accurate is this on [-1,1] ?

2: Let f(x) = cos(x). Use p_5 for f at x=0 to estimate cos(1). What is the error?

Section 8.1: These problems are in the book:

1: Find the sum of each series, (a) through (j). (This is problem 3 in my edition.)

2: Given series Σa_n and Σb_n, suppose there exists a number N such that a_n = b_n for all n > N.

Prove that Σa_n is convergent if and only if Σb_n is convergent.