Integration, Differential Equations, and Approximation 21-122

Summer 2006
MTWRF 10:30-11:50
SH 214

Problem Session Every Thursday 3:30-4:30 Wean 6423

Instructor: David Offner
Email: doffner AT andrew DOT cmu DOT edu
Office Hours: MTWR 12:30-1:30, ppb 342

TA: Alex Rand
Email: arand AT andrew DOT cmu DOT edu
Office Hours: MTW 3:30-4:30, ppb 342

directions to ppb 342

syllabus (summer 2) (pdf) (ps)
syllabus (APEA) (pdf) (ps)

HW1 (pdf) (ps)    solutions (pdf)
HW2 (pdf) (ps)    solutions (pdf)
HW3 (pdf) (ps)    solutions (pdf)
HW4 (pdf) (ps)    solutions (pdf)
HW5 (pdf) (ps)    solutions (pdf)
HW6 (pdf) (ps)    solutions (pdf)
HW7 (pdf) (ps)    solutions (pdf)
HW8 (pdf) (ps)    solutions (pdf)
HW9 (pdf) (ps)    solutions (pdf)
HW10 (pdf) (pssolutions (pdf)
HW11 (pdf) (pssolutions (pdf)
HW12 (pdf) (pssolutions (pdf)
HW13 (pdf) (ps)  solutions (pdf)

quiz 1 (pdf) (ps)   solutions (pdf) (ps)
quiz 2 (pdf) (ps)   solutions (pdf) (ps)
quiz 3 (pdf) (ps)   solutions (pdf) (ps)
quiz 4 (pdf) (ps)   solutions (pdf) (ps)
quiz 5 (pdf) (ps)   solutions (pdf) (ps)
quiz 6 (pdf) (ps)   solutions (pdf) (ps)
quiz 7 (pdf) (ps)   solutions (pdf) (ps)

test 0 (pdf) (ps)    solutions (pdf) (ps)
test 1 (pdf) (ps)    solutions (pdf)
test 2 (pdf) (ps)    solutions (pdf)
test 3 (pdf) (ps)    solutions (pdf)

useful links:

* Good advice on how to write solutions to math problems
* The website of the course textbook
* An applet for calculating Riemann Sums
* More applets and more applets
* Mathematical Sciences at CMU

Monday, 7/3
Integration by Parts
Stewart, 7.1
Tuesday, 7/4
No Class
the declaration
Wednesday, 7/5
Trig Integration and Trig Substitution
Stewart, 7.2, 7.3
Thursday, 7/6
Trig Substitution and Partial Fractions
Stewart, 7.3, 7.4
Friday, 7/7
Partial Fractions and Quiz
Stewart, 7.4
Monday, 7/10
Approximate Integration
Stewart, 7.7
Tuesday, 7/11
Improper Integrals
Stewart, 7.8
Wednesday, 7/12
Arc Length and Surface Area
Stewart, 8.1, 8.2
Thursday, 7/13
Applications of Integration and Review

Friday 7/14
Test 1

Monday, 7/17
Sequences and Series
Stewart, 11.1, 11.2
Tuesday, 7/18
Examples of Series and the Integral Test
Stewart, 11.2, 11.3
harmonic series calculator
Wednesday, 7/19
Comparison Test, Limit Comparison Test Stewart, 11.4
Thursday, 7/20 Alternating Series
Stewart, 11.5
Friday, 7/21
Ratio and Root Tests, Quiz
Stewart, 11.6
Monday, 7/24
Power Series
Stewart, 11.8
Tuesday, 7/25
Functions as Power Series
Stewart, 11.9
Wednesday, 7/26
Taylor Series
Stewart, 11.10
Thursday, 7/27
Taylor Series and Review
Stewart, 11.10
Friday, 7/28
Test 2

Monday, 7/31 Differential Equations
Separable Diff. Eq's
Stewart, 9.1, 9.3
Tuesday, 8/1
Applications, Exponential Growth & Decay
Linear Diff. Eq's
Stewart, 9.4, 9.6
Wednesday, 8/2
Linear Diff. Eq's
Stewart, 9.6
Thursday, 8/3
Direction Fields and Euler's Method
Predator-Prey Systems
Stewart, 9.2, 9.7
making direction fields
Friday, 8/4

Monday, 8/7
Second Order Differential Equations
Stewart, 17.1
Tuesday, 8/8
More Second Order Diff. Eq's
Stewart, 17.2
Wednesday, 8/9
Applications of 2nd Order Diff. Eq's
Stewart, 17.3
Thursday, 8/10
Power Series Solutions to Diff. Eq's
Stewart 17.4
Friday, 8/11
Test 3

Week 0:

Monday, 6/26
Introduction: Derivatives, Integrals, and FTC
Stewart, 2.1-5.3
Tuesday, 6/27
Riemann Sums and Concepts of Integration
Stewart, 5.1, 5.2
Handout (pdf) (ps)
Wednesday, 6/28
Trigonometric functions
Stewart, Appendix D
Thursday, 6/29
Integration by substitution, definition of ln
Stewart, 5.4-5.6
Friday, 6/30