| Week #1 Jan 5-9 |
Infinities: course introduction.
Improper integrals over an infinite interval. (Ch. 3.7) Direct comparison test for improper integrals over an infinite domain. |
Jan 5th: classes begin |
| Week #2 Jan 12-16 |
Limit comparison test (LCT) for improper integrals on infinite interval.
Integrating a Discontinuous Integrand. Sequence. |
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| Week #3 Jan 19-23 |
Bounded and monotone sequence. (Ch. 5.1) Series: definition and some computations. (Ch. 5.2) |
Jan 19 MLK holiday
Jan 23, (Fri, 5 p.m.) Final day to add or drop a class. |
| Week #4 Jan 26-30 |
Series: integral comparison tests. (Ch. 5.3)
Review on series and direct comparison. Estimating the value of a Series. |
6:00 - 7:30 pm, Jan 29: Midterm 1 |
| Week #5 Feb 2-6 |
Series: Limit comparison test.
Series: Absolute convergence. Remainder in alternating series. |
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| Week #6 Feb 9-13 |
Ratio and Root Test.
Power series. Manipulations on power series. |
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| Week #7 Feb 16-20 |
Review. Theorem 6.4: term-by-term differentiation. |
Feb 16: President's day.
6:00 - 7:30 pm, Feb 19: Midterm 2 |
| Week #8 Feb 23-27 |
Multiplying series.
Taylor Polynomial. Taylor series. |
February 27 (Fri, 5 p.m.) Course withdrawal deadline Change of grading basis deadline. |
| Week #9 March 2-6 |
Error estimates in Taylor series.
Binomial series. Series in differential equations. |
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| Week #10 March 9-13 |
Using series in limits and integrals.
New Taylor series from old. Pendulum example. Review |
March 13th: Last day of classes. |
| March 17th |
12:15 - 3:15 pm | Final Exam |