Calculus II

Calendar

This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any apocalyptic events that may occur during the semester.

1:

Wednesday

Introduction

  • Assign groups
  • Syllabus game
  • WeBWorK student demonstration
  • review integration rules
  • Book exercises (ungraded): 5.3 - 17, 24, 47
  • Book exercises (ungraded): 5.4 - 15, 23, 37, 43
Thursday

Review

  • review substitution
  • Book exercises (ungraded): 5.5 - 25
  • Book exercises (ungraded): 5.6 - 1
  • Book exercises (ungraded): 5.7 - 7, 12, 19, 21
Friday

Area between two curves

  • find intersections, y-Axis
  • Book exercises (ungraded): 6.1 - 1, 4 (answer: 128), 25

2:

Monday

volume with cross sections

  • identify cross sectional area
  • 6.2.4 (answer: 24)
  • Book exercises (ungraded): 6.2 - 11, 13
Wednesday

density and average value

  • Book exercises (ungraded): 6.2 - 27, 43, 49
Thursday

Group quiz

Friday

volumes of revolution (horizontal lines)

3:

Monday

volumes of revolution (vertical lines)

Wednesday

shell method

  • shells: y-axis
  • Book exercises (ungraded): 6.4 - 7, 15
Thursday

Group quiz

Friday

integration by parts

4:

Monday

trigonometric integrals

  • finish worksheet
  • start trig substitutions
  • Book exercises (ungraded): 7.2 - 5
Wednesday

trigonometric integrals

  • finish trig substitutions
  • Book exercises (ungraded): 7.2 - 11, 29

work and energy

  • lifting layers
  • Book exercises (ungraded): 6.5 - 1, 11
Thursday

Review

Friday

Exam 1

  • one page of notes (one-sided, handwritten)
  • approved calculators

5:

Monday

trigonometric substitution

  • sqrt(a^2 - x^2), sqrt(x^2 + a^2)
  • Book exercises (ungraded): 7.3 - 5
Wednesday

trigonometric substitution

  • sqrt(x^2 - a^2)
  • Book exercises (ungraded): 7.3 - 9, 11

partial fractions

  • specifics
  • Book exercises (ungraded): 7.5 - 33
Thursday

Group quiz

Friday

partial fractions

  • linear factors,
  • Book exercises (ungraded): 7.5 - 5, 9, 15, 29, 37

6:

Monday

strategies for integration

  • worksheet
  • Book exercises (ungraded): 7.6 - 19, 29
Wednesday

review limits at infinity from Calculus I

improper integrals

  • infinity and unbounded
  • Book exercises (ungraded): 7.7 - 5, 11, 15, 21, 61, 63
Thursday

Group quiz

Friday

numeric integration

  • midpoint, trapezoid, Simpson's rule
  • Book exercises (ungraded): 7.9 - 1, 13

7:

Monday

arc length

  • arc length: relationship to distance, Desmos, WolframAlpha
  • Book exercises (ungraded): 8.1 - 7, 11, 13, 15
Wednesday

surface area

  • surface area: relationship to truncated cone
  • Book exercises (ungraded): 8.1 - 35
Thursday

Group quiz

Friday

center of mass (centroid)

  • moments in x and y, alternate formula
  • Book exercises (ungraded): 8.1 - 1, 11

8:

Monday

center of mass (centroid)

  • moments in x and y, alternate formula
  • Book exercises (ungraded): 8.1 - 21, 23
Wednesday

probability

  • specifics
  • Book exercises (ungraded): 7.8 - 1
Thursday

Review

Friday

Exam 2

9:

Monday

New groups and review exam

Taylor polynomials

  • example
  • Book exercises (ungraded): 8.4 - 1, 19
Wednesday

solving differential equations

  • first order, separable
  • y' = k(y - b) form
  • Book exercises (ungraded): 9.1 - 1, 15, 31
  • Book exercises (ungraded): 9.2 - 1, 3
Thursday

Group quiz

Friday

slope fields

  • Newton's law of cooling
  • slope field example
  • start Euler's method: polynomials, e^x (via GeoGebra)
  • Book exercises (ungraded): 9.2 - 7
  • Book exercises (ungraded): 9.3 - 1

10:

Monday

Euler's method

  • finish Euler's method: polynomials, e^x (via GeoGebra)
  • Book exercises (ungraded): 9.3 - 17

first order linear differential equations

  • Book exercises (ungraded): 9.5 - 1, 5, 13
Wednesday

first order linear differential equations

Thursday

Group quiz

Friday

Sequences

  • notation, limits, squeeze theorem
  • Book exercises (ungraded): 10.1 - 1, 3, 5, 9, 17, 23

11:

Monday

Series

Wednesday

Convergence of positive terms

  • integral test, p-series
  • Book exercises (ungraded): 10.3 - 1, 3, 9
Thursday

Group quiz

Friday

Convergence of positive terms

  • direct comparison, limit comparison
  • Book exercises (ungraded): 10.3 - 15, 19, 21, 25, 39

12:

Monday

Practice day

  • series worksheet
  • Book exercises (ungraded): Chapter 10 review -

13:

Monday

absolute and conditional convergence

  • specifics
  • Book exercises (ungraded): ? -
Wednesday

topic

  • specifics
  • Book exercises (ungraded): ? -
Thursday

Review

Friday

Exam 3

  • one page of notes (one-sided, handwritten)

14:

Monday

topic

  • specifics
  • Book exercises (ungraded): ? -
Wednesday

topic

  • specifics
  • Book exercises (ungraded): ? -
Thursday

Group quiz

Friday

topic

  • specifics
  • Book exercises (ungraded): ? -

15:

Monday

topic

  • specifics
  • Book exercises (ungraded): ? -
Wednesday

topic

  • specifics
  • Book exercises (ungraded): ? -
Thursday

Group quiz

Friday

Review

  • topics

Final exam

(University finals schedule)