MATH 230     Syllabus and Suggested Class Pace     Fall 2014

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,