Second Semester Calculus (Integration and Power Series)

Fall 2008

Reading Questions

Week 1:

  • No Class (Labor Day)
  • 5.1: Motivation, Estimating with Finite Sums
  • 5.2: Review, Sigma Notation, Limits of Finite Sums
  • 5.3: Limits of Finite Sums and the Definite Integral

Homework

  • 1.1: 10,24,60
  • 1.2: 6,10,18,32
  • 1.3: 6,22,36,56
  • 1.4: 10,18,22
  • 1.5: 12,16,26,38,44,58
  • 4.8: 12,18,52,62,94,11112

Week 2: Tue: Last Day to Add, Audit or Pass/Fail Classes

  • 5.3: The Definite Integral
  • 5.4 Fundamental Theorem
  • 5.4 Fundamental Theorem
  • 5.5: Indefinite Integrals and Substitution

Homework

  • 5.1: 5,9,17,19
  • 5.2: 9,13,17,21,28
  • (Optional) 8.1: 23,33,48,81
  • 5.3: 8,13,37,59,63
  • 5.4: 9,11,22,27,34,46,60,62,76,79
  • 5.5: 9,18,24,31,40,46,53,55,57,63

Week 3: Mon: Last Day to Drop Without Record

  • 5.6: Substitution in definite integrals
  • 6.1: Slicing / Exam Review
  • Exam One
  • 6.1: Slicing

Homework

  • 5.6: 8,23,32,44,55,58,69,83,105,111
  • 5.7: 8,13,20,25,32,35,45,51
  • 6.1: 3,7,11,21,29,47,51

Week 4:

  • 6.2: Cylindrical Shells
  • 6.2,3: Cylindrical Shells / Arc Length
  • 6.3: Arc Length
  • 6.4: Surface Area

Homework

  • 6.2: 5,13,19,26,29,33,35
  • 6.3: 3,5,7,11,17,23,29,36
  • 6.4: 3,8,11,15,17,23,28,30,37

Week 5:

  • 6.5: Differential Equations
  • 6.5: ODE's
  • 7.1: Integration by Parts
  • 7.2: Trig Integrals

Homework

  • 6.5: 3,7,15,19,21,35,41
  • Extra Homework Handout 01 (PDF)
  • 7.1: 11,20,23,32,36,37,41,49
  • 7.2: 11,16,21,24,30,37,41,43

Week 6:

  • 7.3: Trigonometric Substitutions
  • 7.3: Trigonometric Substitutions
  • 7.4: Partial Fractions
  • 7.4: Partial Fractions

Homework

  • 7.3: 5,11,13,25,28,31,38,41
  • 7.4: 5,15,19,27,34,39,43,45,49

Week 7: Mon: Last Day Withdraw-Automatic "W"

  • 7.5: Tables, CAS
  • Exam Review
  • Exam Two
  • 7.6: Numerical Integration

Homework

  • 7.5: 11,14,19,27,31,34,43,51,58
  • 7.6: 5,8,15,20,25,27,29,33

Week 8:

  • Fall Break
  • Fall Break
  • 7.6: Numerical Integration
  • 7.7: Improper Integrals

Homework

  • 7.7: 9,19,27,37,45,55,65,73,76,78

Week 9:

  • 7.7: Improper Integrals
  • 8.1: Sequences
  • 8.2: Series
  • 8.2: Series

Homework

  • 8.1: 1,11,21,33,41,51,61,71,81,91,101,111,120,131
  • 8.2: 3,11,15,19,29,35,43,47,57,59,61,64,68

Week 10:

  • 8.3: Integral Test
  • 8.4: Comparison Tests
  • 8.4: Comparison Tests
  • 8.5: Ratio and Root Tests

Homework

  • 8.3: 5,9,22,27,31,33,35,39,41
  • 8.4: 4,7,11,15,19,22,27,35,39,40
  • 8.5: 7,13,18,21,28,34,36,43

Week11: (Registration Week)

  • 8.5: Ratio and Root Tests
  • Exam Review
  • Exam Three
  • 8.6: Absolute, Conditional Convergence

Homework

  • 8.6: 13,24,29,38,41,46,49,59

Week 12:

  • 8.6: Absolute, Conditional Convergence
  • 8.7: Power Series
  • 8.7: Power Series
  • 8.8: Taylor Series

Homework

  • 8.7: 10,17,26,32,37,40,42,48

Week 13:

  • 8.8: Taylor Series
  • 8.9: Convergence of Taylor Series
  • Thanksgiving
  • Thanksgiving

Homework

  • 8.8: 7,15,18,23,29,33,38
  • 8.9: 5,12,15,26,33,44,49

Week 14:

  • 8.9: Convergence of Taylor Series
  • Exam Review
  • Exam Four
  • 8.10: Binomial Series

Homework

  • 8.10: 5,12,16,18

Week 15:

  • Semester Review
  • Semester Review
  • No Class (Reading Period)
  • No Class (Reading Period)

Additional Problems