Schedule

Here is the tentative course schedule; there may be small changes as the semester progresses.


Week 1 (starts 1/10)

  • Classes start on Wednesday, 1/12.
  • Sections covered: 5.1-5.
  • Topics covered: The Fundamental Theorem of Calculus, Integration by substitution.
  • Homework: Set 00 (optional) due at 6 AM on Saturday, 1/15.

Supplemental problems: - Section 5.5: 1-73


Week 2 (starts 1/17)

  • No class on Monday, 1/17 (MLK Day).
  • Sections covered: 6.1.
  • Topics covered: Areas between curves.

Supplemental problems:

  • Section 6.1: 1-32

Week 3 (starts 1/24)

  • Sections covered: 6.2, 6.3.
  • Topics covered: Volume by disks and washers. Volume by shells. 
  • Homework: Set 1 due at 6 AM on Saturday, 1/29.

Supplemental problems:

  • Section 6.2: 1-34
  • Section 6.3: 1-30, 61, 63, 64

Week 4 (starts 1/31)

  • Sections covered: 6.4, 6.5, 7.1.
  • Topics covered: Work. The average value of a function. Integration by parts. 
  • Homework: Set 2 (6.1, 6.2) due at 6 AM on Wednesday, 2/2.

Supplemental problems:

  • Section 6.4: 1-25
  • Section 6.5: 1-17, 20
  • Section 7.1: 1-42, 54, 67-70

Week 5 (starts 2/7)

  • Sections covered: 7.2, 7.3
  • Topics covered: Trigonometric integrals. Trigonometric substitution.
  • Homework: Set 3 (6.3, 6.4) due at 6 AM on Wednesday, 2/9.

Week 6 (starts 2/14)

  • Midterm 1: Tuesday, 2/15, 8 AM.
  • Sections covered: 7.4, 7.5
  • Topics covered: Midterm review, Partial fractions. Strategy for integration.
  • Homework: Set 4 (6.5, 7.1) due at 6 AM on Monday, 2/14.

Week 7 (starts 2/21)

  • Sections covered: 7.8, 8.1
  • Topics covered: Improper integrals. Arc length.
  • Homework: Set 5 (7.2, 7.3, 7.4) due at 6 AM on Saturday, 2/26.

Week 8 (starts 2/28)

  • Sections covered: 8.2, 10.1, 10.2.
  • Topics covered: Surface area. Curves defined by parametric equations. Calculus of parametric curves.
  • Homework: Set 6 (7.8, 8.1) due at 6 AM on Saturday, 3/5.

Week 9 (starts 3/14)

  • Sections covered: 10.3, 10.4.
  • Topics covered: Polar coordinates. Areas and lengths in polar coordinates.
  • Homework: Set 7 (8.2, 10.1) due at 6 AM on Saturday, 3/19.

Week 10 (starts 3/21)

  • Midterm 2: Thursday, 3/24, 8 AM.
  • Sections covered: 11.1, Midterm review.
  • Topics covered: Sequences.

Week 11 (starts 3/28)

  • Sections covered: 11.2, 11.3, 11.4.
  • Topics covered: Introduction to series. Telescoping series. The integral test. The comparison tests.
  • Homework: Set 8 (10.2, 10.3) due at 6 AM on Tuesday, 3/29.
  • Homework: Set 9 (10.4, 11.1) due at 6 AM on Saturday, 4/2.

Week 12 (starts 4/4)

  • Sections covered: 11.5, 11.6.
  • Topics covered: Absolute and conditional convergence. Alternating series. The ratio and root tests.
  • Homework: Set 10 (11.2, 11.3) due at 6 AM on Saturday, 4/9.

Week 13 (starts 4/11)

  • Sections covered: 11.7, 11.8, 11.9.
  • Topics covered: Strategy for testing series. Power series, representation of functions as power series
  • Homework: Set 11 (11.4, 11.5) due at 6 AM on Saturday, 4/16.

Week 14 (starts 4/18)

  • Sections covered: 11.10, 11.1.
  • Topics covered: Taylor series and polynomials. Application of Taylor polynomials.
  • Homework: Set 12 (11.6, 11.8) due at 6 am on Saturday, 4/23.

Week 15 (starts 4/25)

  • Classes end on Wednesday, 4/27.
  • Sections covered: Review.
  • Topics covered: Review.
  • Homework: Set 13 (11.9, 11.10, 11.11) due at 6 AM on Saturday, 4/30.

Week 16 (starts 5/2)

Final exam: Monday, May 2, 4 PM.