Math 253 (Spring 2011)

Instructor: Ben Webster
Office: 151 Susan Campbell Hall
Office Hours: T 1-2, W 10-11, R 2-3
Class times: Monday, Tuesday, Wednesday, Friday, 2-3pm.

For basic information about the course, see the course syllabus.

Final exam

The final exam is on Monday, June 6th at 3:15 in the usual classroom (303 Deady). As with the midterm, you are allowed to bring a sheet of hand-written notes on both sides of an 8.5 x 11 piece of paper.

There is now a practice final. Solutions will be available later in the week. The solutions to the final are here.

Midterm

The midterm is on Friday, April 29th, usual classroom, usual time. You are allowed to bring a sheet of hand-written notes on both sides of an 8.5 x 11 piece of paper.

Here are the solutions to Exam A and Exam B.

HW

HW 1: 11.1.1,2,10,11,14,22,24,31,40,43,56,58,64,67,68,79

HW 2: 11.2.2, 10, 20, 27, 30, 38, 65, 66, 70, 72

HW 3: 11.3.6, 14, 24, 26, 27, 40, 11.4.4, 27, 37, 39, 43, 45, 46

HW 4: 11.5.1, 2, 6, 13, 18, 20, 25, 31, 11.6.1, 3, 8, 11, 22, 27, 29

There is no HW due April 27th, but students are strongly encouraged to do the practice exam (now, with solutions) and problems from the HW of 11.7.

HW 5 (Due May 11): 11.8.2, 6, 8, 9, 18, 21, 27, 28, 32, 33, 37, 42, 11.9.1, 7, 14, 26, 28, 32, 37,
11.10.1, 3, 4, 7, 11, 14, 15, 22, 23, 31, 44, 46, 48, 55, 60, 67, 68

HW 6 (due May 18): 11.11.31, 35, 36, 39, 10.3.3, 5, 6, 7, 10, 15, 18, 29, 36, 56, H.7, 14, 16, 20, 33, 47

HW 7 (due May 25): 10.1.2, 4, 5, 9, 16, 24, 28, 43, 46, 10.2.8, 15, 20, 28, 31, 37, 42, 46, 58

Class Schedule

March 28: First day of class. Basics of sequences. Reading: 11.1

March 29: Monotonic sequence theorem. Induction. Reading: 11.1

March 30: Quiz. Induction. Reading: 11.2

April 1: HW 1 due. Basics of series.

April 4: Geometric and harmonic series. Reading: 11.2

April 5: Integral test. Reading: 11.3

April 6: Quiz and HW #2 due. Going over HW.

April 8: Review and more HW. Reading: 11.3

April 11: Comparison test. Reading: 11.4

April 12: Alternating series test. Reading: 11.5

April 13: Quiz and HW #3 due. Going over HW.

April 15: More going over HW. Absolute convergence. Reading: 11.6

April 18: Ratio test and root test. Reading: 11.6

April 19: Power series. Reading: 11.8

April 20: Quiz and HW #4 due. Going over HW.

April 22: Series strategies. More HW. Reading: 11.7

April 20: Quiz and HW #4 due. Going over HW.

April 22: More HW review.

April 25: Power series, radius and interval of convergence.

April 26: Differentiating and integrating power series.

April 27: Going over practice midterm.

April 29: Midterm.

May 2: Going over midterm.

May 3: Finding coefficients of power series using differentiation.

May 4: Quiz. Approximating functions with polynomials.

May 6: Taylor series and Maclaurin series.

May 9: Taylor series.

May 10: Taylor series.

May 11: Quiz.

May 13: Polar coordinates. Reading: 10.3

May 16: Areas in Polar coordinates. Reading: 10.4

May 17: Complex numbers. Reading: Appendix H

May 18: HW and Quiz.

May 20: Parametric equations. Reading: 10.1

May 23: Calculus with parametric equations. Reading: 10.2

May 24: Arc length with parametric equations. Reading: 8.1 & 10.2

May 25: HW and Quiz.

May 27: Surface area with parametric equations. Reading: 8.2 & 10.2

May 30: NO CLASS

May 31: Review.

June 1: Review.

June 3: Review.