## Tentative Schedule for MAT142, Spring 2012

Week Topics Homework Due
1/23 Syllabus, Introduction
5.1   Area and the Definition of the Integral
5.2   General Theory of the Riemann Integral
5.3   The Fundamental Theorem of Calculus
Workshop Problem 1/31 : 5.2 #12
5.2  1dfi, 8
5.3  1abcdeghi, 4
2/2
1/30 5.4 Formal Integration I
5.5 Formal Integration II : Trig Functions
Workshop Problem 2/7
5.4 1abcdfhmqstwx, 2
5.5 1acdg, 2e, 3abde, 5
2/9
2/6 5.6 Formal Integration III : Rational Functions and Partial Fractions
5.7 ``Improper" Integrals
Workshop Problem 2/14
5.6 2abcgij, 4
5.7 1abefgh, 2abde, 7
2/16
2/13 5.8 Geometric Applications of Riemann Sums
5.9 Riemann Integrability
5.8 2abcf, 5abcd, 6 2/23
2/20 Review for First Midterm
First Midterm on Wed 2/22
Introduction to Infinite Series
Workshop Problem 2/28
2.1 15,16,17,19
2.2 15,16,17,19 (as the book says, try to guess!)
2.3 34
2.5 10
3/1
2/27 6.1 Local Approximation by Polynomials
6.2 Convergence of Series
Workshop Problem 3/6
6.1 1cef, 2, 3, 5, 6a
6.2 4
5.7 3cdefg
3/8
3/5 6.2 Convergence of Series
6.3 Unconditional Convergence
Workshop Problem 3/13
6.2 1acdfhklm, 2, 6
6.3 1abei, 4, 5
3/15
3/12 6.4 Convergence of Power Series
6.5  Handling Power Series
Workshop Problem 3/20
6.4 1, 2, 7, 10, 11, 13, 20
6.5 1, 2, 9, 11, 19, 23, 28, 34, 37, 38, 42
3/22
3/19 Introduction to Differential Equations
Separable Differential Equations
Workshop Problem 3/27
HW Problem Set
3/29
3/26 First Order Linear Diff. Eqs. --- Integration Factors
Second Order Diff. Eqs. with Constant Coefficients
HW Problem Set 4/12
4/2 Spring Recess, No Classes
4/9 Review for Second Midterm
Second Midterm on Friday 4/13
No Homework this Week
4/16 Uniform Convergence and the Uniform Norm
The Weierstrass Approximation Theorem
Notes
Workshop Problem 4/24
HW Problem Set
4/26
4/23 L^p Spaces
Introduction to the Lebesgue Integral
5/3
4/30 Review
12/19 Final (cumulative)
Monday, May 14, 11:15am-1:45pm