Please note that your instructor will likely adjust the syllabus from time to time. Exam dates may vary from the ones indicated. It is the student's responsibility to monitor the pace of the lectures. If you must miss a class, find out precisely which material you must learn on your own.
Some of the material is presented twice in the text, in slightly different
ways; we will be using the "starred" versions of sections 6.2-6.4.
Week | Dates | Sections from textbook | Topics |
1 | 8/25-8/29 | 5.1, 7.7 | review of the definite and indefinite integral, areas between curves, approximate integration |
2 | 9/1-9/5 | 5.2, 5.3 | Labor Day, volumes of solids by slicing, solids of revolution |
3 | 9/8-9/12 | 8.1, 8.2, 6.2* | arclength, surface area, the natural logarithm |
4 | 9/15-9/19 | 6.1, 6.3* | inverse functions, the exponential function, TEST 1 |
5 | 9/22-9/26 | 6.4*, 6.6, | general logarithms and exponents, inverse trig. functions |
6 | 9/29-10/3 | 6.8, 11.1 | limits involving infinity, l'Hopital's rule, infinite sequences |
7 | 10/6-10/10 | 7.1, 7.2 | integration by parts, trig. integrals |
8 | 10/13-10/17 | 7.3, 7.4 | trig. substitutions, TEST 2, partial fractions |
10/17 | Last day to withdraw from the course for undergraduates. | ||
9 | 10/20-10/24 | 7.4, 7.5, 7.8 | partial fractions, review of integration techniques, improper integrals |
10 | 10/27-10/30 | 11.9 | power series, representations of functions |
11 | 11/3-11/7 | 11.10, 11.11, 11.2 | Taylor polynomials, Taylor series, infinite series |
12 | 11/10-11/14 | 11.3, 11.4 | integral test, comparison tests |
13 | 11/17-11/21 | 11.5, 11.6 | alternating series and absolute convergence, ratio and root tests |
14 | 11/27-11/30 | TEST 3, Thanksgiving break | |
15 | 12/1-12/5 | 11.7, 11.8 | radius and interval of convergence, review |
12/12 | 8:00-9:50 a.m. | FINAL EXAMINATION. |
SUGGESTED EXERCISES FROM THE TEXTBOOK:
5.1: 1, 3, 13, 18, 24, 30
7.7: 11, 22, 48
5.2: 3, 5, 19, 20, 23, 24, 27, 28, 49, 63, 66
5.3: 7, 11, 14
8.1: 9, 18
8.2: 5, 8, 14
6.2*: 16, 21, 22, 32,34, 42, 62, 67, 68, 70, 71
6.1: 18, 19, 23, 24, 27, 43, 44
6.3*: 3, 8, 12, 21, 22, 34, 47, 81, 85, 91
6.6: 11-14, 22, 23, 32, 45-47, 61, 63, 64, 69, 70
6.8: 9, 11, 12, 23, 30, 33, 44, 51, 62
11.1: 13-17, 30, 38, 42, 51, 52
7.1: 5, 10-12, 15, 20, 22, 26, 27, 42
7.2: 1, 3, 4, 13, 20, 23, 34, 48
7.3: 4, 11, 15, 19, 20, 22, 29
7.4: 7, 9, 13, 16, 22, 23, 31, 44, 59, 60
7.5: 4, 5, 14, 19, 20, 27, 30, 43, 44, 48, 54, 71, 78
7.8: 1, 2, 9, 13, 14, 21, 30, 40
11.9: 4, 6, 7, 11-13, 19
11.10: 6-8, 10,17
11.11: 18
11.2: 17, 23, 26, 29, 38, 40, 45
11.3: 8, 15, 19, 25
11.4: 5, 17, 21, 30
11.5: 7,10, 14, 27, 28
11.6: 4, 7, 12, 17, 23, 25
11.7: 7, 9, 18, 23, 26, 30
11.8: 5, 7, 8, 12, 15,