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
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)
(ps) solutions
(pdf)
HW11 (pdf)
(ps) solutions
(pdf)
HW12 (pdf)
(ps) solutions
(pdf)
HW13 (pdf)
(ps) solutions
(pdf)
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
* stewartcalculus.com:
The website of the course textbook
* An applet for calculating Riemann
Sums
* More applets
and more applets
* Mathematical Sciences at CMU
| Date |
Topic |
References |
| 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 Fibonacci |
| 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 |
Quiz |
|
| 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:
| Date |
Topic |
References |
| 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 |
Test |