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 | 1/17-1/20 | 5.1, 5.2 | Review, areas between curves, volumes by slicing |
2 | 1/23-1/27 | 5.3, 8.1, 8.2 | Volumes by cylindrical shells, arc length, surface area |
3 | 1/30-2/3 | 8.2, 6.1, 6.2* | Surface area, inverse functions, the natural logarithmic function |
4 | 2/6-2/10 | 6.3*, T1 | The natural exponential function, Test 1 |
5 | 2/14-2/17 | 6.4*, 6.6 | General logarithmic and exponential functions, inverse trigonometric functions |
6 | 2/20-2/24 | 7.1, 7.2 | Integration by parts, trigonometric integrals |
7 | 2/27-3/3 | 7.3, 7.4 | Trigonometric substitutions, partial fractions |
8 | 3/6-3/10 | 7.5, 7.7, T2 | Strategy for integration, approximate integration, Test 2 |
3/10 | Last day to withdraw from a full-semester course | ||
3/13-3/17 | Spring Recess | ||
9 | 3/20-3/24 | 6.8, 7.8, 11.1 | Indeterminate forms and l'Hopital's rule, Improper integrals, sequences |
10 | 3/27-3/31 | 11.2, 11.3 | Series, integral test |
11 | 4/3-4/7 | 11.4, 11.5 | Comparison tests, alternating series |
12 | 4/10-4/14 | 11.5, 11.6 | Alternating series, absolute convergence, ratio/root tests |
13 | 4/17-4/21 | 11.8, 11.9 | Power series, power series representations |
14 | 4/24-4/28 | 11.10, 11.11, T3 | Taylor series, Applications of Taylor polynomial, Test 3 |
15 | 5/1-5/4 | 11.11 | Applications of Taylor polynomials, review for Final |
Monday, 5/8 | 6:00-7:50 PM | FINAL EXAMINATION |