With each topic covered, there is a list of
associated homework problems. The homework assigned on each lecture
is due at the beginning of the following class.
| Day |
Date |
Topic |
Section |
page |
problems |
| Mo |
08/30 |
Review of Chapter 1 |
1-R |
85 |
2,8,10abcdef,16,22,28 |
| We |
09/01 |
Review of Chapter 2 |
2-R |
182 |
2,4,6,8,10,12,14,28,34,40 |
| Fr |
09/03 |
Review of Chapters 3 and 4 |
3.8 3-R 4.5 4-R |
256 259 305 337 |
16 2,6,12,52 8,14 6,49,52 |
| Mo |
09/06 |
Areas and Distances |
5.1 |
355 |
2,3,6,11,12,14 |
| We |
09/08 |
The Definite Integral |
5.2 |
367 |
1,6,8,12,20,29,32,36,40,42 |
| Fr |
09/10 |
Evaluating Definite Integrals |
5.3 |
377 |
1,4,6,12,24,26,38,46,54,56,58,60 |
| Mo |
09/13 |
Fundamental Theorem of Calculus |
5.4 |
386 |
3,4,6,8,12,14,15,18,20,25,26 |
| We |
09/15 |
The Substitution Rule |
5.5 |
395 |
2,4,8,14,16,20,23,26,30,40,48,58 |
| Fr |
09/17 |
Integration by Parts |
5.6 |
401 |
4,5,6,8,10,14,16,20,22,26,38,40 |
| Mo |
09/20 |
Review |
5-R |
439 |
3,7,8,13,15,17,27,39,41 |
| We |
09/22 |
TEST 1 |
|||
| Fr |
09/24 |
Integration using Tables and CAS |
5.8 |
414 |
4,6,11,12,15,17,19 |
| Mo |
09/27 |
Approximate Integration |
5.9 |
425 |
1,2,4,14,23,26,27,28 |
| We |
09/29 |
Improper Integrals |
5.10 |
436 |
2,3,6,14,22,26,28,34,44,58 |
| Fr |
10/01 |
More Areas |
6.1 |
452 |
1,4,8,12,14,18,21,23,38 |
| We |
10/06 |
Volumes |
6.2 |
463 |
2,4,5,7,10,12,13,14,20,22,23,28,30,32 |
| Fr |
10/08 |
Arc Length |
6.3 |
471 |
12,15,16,18,19,22 |
| Mo |
10/11 |
Average Value of a function |
6.4 |
475 |
2,4,6,8,10,11,12,13,16 |
| We |
10/13 |
Applications to Economics and
Biology |
6.6 |
491 |
1,2,4,10,12,14 |
| Fr |
10/15 |
Review |
6-R |
500 |
1,4,6,10,16,24 |
| Mo |
10/18 |
TEST 2 |
|||
| We |
10/20 |
Modeling with Differential
Equations |
7.1 |
511 |
1,2,3,4,5,7,8,9,10,14 |
| Fr |
10/22 |
Direction Fields, Euler's Method |
7.2 |
519 |
3,4,5,6,7,12,14,19,20,21,22,23,24,28 |
| Mo |
10/25 |
Separable Equations |
7.3 |
527 |
2,5,6,10,12,16,18 |
| We |
10/27 |
Orthogonal Trajectories, Mixing |
7.3 |
527 |
26,28,36 |
| Fr |
10/29 |
Exponential Growth and Decay |
7.4 |
538 |
2,4,6,10,11,12,13,14,17,19,20 |
| Mo |
11/01 |
Population Dynamics |
7.5 |
548 |
2,3,4,5,6,7,8,9 |
| We |
11/03 |
Review |
7-R |
557 |
2,4,6,10,11,14,16,17 |
| Fr |
11/05 |
TEST 3 |
|||
| Mo |
11/08 |
Sequences - convergence |
8.1 |
571 |
3,5,6,10,12,14,16,19,20 |
| We |
11/10 |
Bounded Monotonic Sequences |
8.1 |
571 |
21,22,23,24,28,39,40,47 |
| Fr |
11/12 |
Series |
8.2 |
580 |
3,8,9,11,13,15,16,18,24,26,30,33 |
| Mo |
11/15 |
Integral and Comparison Tests |
8.3 |
591 |
6,7,9,10,13,14,15,16,27 |
| We |
11/17 |
Other Convergence Tests |
8.4 |
598 |
2,3,6,8,18 |
| Fr |
11/19 |
Other Convergence Tests |
8.4 |
598 |
19,20,21,22,23,25,31 |
| Mo |
11/22 |
Power Series |
8.5 |
604 |
4,6,8,10,12,14,16 |
| Mo |
11/29 |
Representing Functions as Power
Series |
8.6 |
610 |
4,6,8,11,12,14,22 |
| We |
12/01 |
Taylor and MacLaurin Series |
8.7 |
621 |
3,5,11,18,19,25,29,31,35,39,47 |
| Fr |
12/03 |
Review |
8-R |
641 |
4,11,12,19,31 |
| Mo |
12/06 |
TEST 4 |
|||
| We |
12/08 |
Review |
|||
| Fr |
12/10 |
Review |
|||
| Su |
12/12 |
FINAL EXAM (1:30-4:30pm) |
Send me mail: bdoytchi@gettysburg.edu