Second Semester Calculus (Integration and Power Series)

Spring 2012

Final Exam: 12:00 PM, 07 May 2012 (Monday)

Week 1: Jan 17 - Jan 20

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

Homework

  • "Are You Ready" Handout: 2,8,10,11,15,16,18,20,22,24,25,27,31,33,36
  • 4.8: 41,45,51,59,66,69,85,86,105,112,126
  • 5.1: Comp: 3,5,7,11,17,
  • 5.1: OneStep: 13,19,21
  • 5.2: Comp: 1,5,7,9,13,17,20,25,29,33
  • 5.2: OneStep: 27,35,39
  • 5.3: Comp: 3,7,9,11,13,21,33,72

Week 2: Jan 23 - Jan 27

  • 5.4 Fundamental Theorem
  • 5.4 Fundamental Theorem
  • 5.5: Indefinite Integrals and Substitution
  • 5.6: Substitution in definite integrals

Homework

  • 5.3: OneStep: 17,25,50,61,63,69
  • 5.4: Comp: 5,11,13,15,19,29,43,55,57,63,72
  • 5.4: OneStep: 23,37,39,47,49,66,69,77,79
  • 5.5: Comp: 3,5,9,15,19,27,33,35,41,55,61
  • 5.5: OneStep: 11,22,29,38,40,4752,58,64
  • 5.6: Comp: 5,9,19,23,29,47,77,93,112
  • 5.6: OneStep: 37,45,55,71,97,100,103,111

Week 3: Jan 30 - Feb 3

  • 6.1: Slicing
  • Review
  • Exam One
  • 6.1: Slicing

Homework

  • 6.1: Comp: 1,5,9,15,23,33
  • 6.1: OneStep: 11,26,27,43,46,49

Week 4: Feb 6 - Feb 10

  • 6.3: Arc Length
  • 6.3: Arc Length
  • 6.5: Differential Equations
  • 6.5: Differential Equations

Homework

  • 6.3: Comp:2,5,17,25,33
  • 6.3: One Step: 11,13,23,27,30
  • 6.5: Comp: 2,4,6,13,19,21,32,34,37,39,41
  • 6.5: OneStep: 15,18,22,26,30,33,35

Week 5: Feb 13 - Feb 17

  • 6_extra: Hypervolumes
  • 7.1: Integration by Parts
  • 7.2: Trigonometric Integrals
  • 7.3: Trigonometric Substitutions

Homework

  • Hypervolume: Assigned in class
  • 7.1: Comp: 3,7,13,19,33
  • 7.1: OneStep: 23,25,29,31,37,39,42
  • 7.2: Comp: 1,7,11,25,33
  • 7.2: OneStep: 15,19,21,29,39,41
  • 7.3: Comp: 1,4,13,17,25,35,37
  • 7.3: OneStep: 11,23,27,29,31

Week 6: Feb 20 - Feb 24

  • 7.4: Partial Fractions
  • Exam Review
  • Exam Two
  • 7.4: Partial Fractions

Homework

  • 7.4: Comp: 3,5,7,11,15,19,21,25,29,33,41,43
  • 7.4: OneStep: 35,39,40,45,49,50

Week 7: Feb 27 - Mar 2

  • 7.5: Computer Algebra Systems
  • 7.6: Numerical Integration
  • 7.6: Numerical Integration
  • 7.6: Numerical Integration

Homework

  • 7.5: Comp: 5,9,13,17,21,25,39,45
  • 7.5: OneStep: 27,29,31,34,47,49,53, 58
  • 7.6: Comp: 5,7,15,19,37
  • 7.6: OneStep: 25,27,32,35

Week 8: Mar 5 - Mar 9

  • 7.7: Improper Integrals
  • 7.7: Improper Integrals
  • 7.7: Improper Integrals
  • 8.1: Sequences

Homework

  • 7.7: Comp: 3,9,13,29,37,47,67,69,70
  • 7.7: OneStep: 19,23,35,41,45,55,59,73,74

Week 9: Mar 19 - Mar 23

  • 8.1: Sequences
  • 8.2: Series
  • 8.2: Series
  • 8.3: Integral Test

Homework

  • 8.1: Comp: 3,4,11,15,21,25,31,41,49,57,79,97,99,109
  • 8.1: OneStep: 22,51,59,65,70,73,81,83,87,99,115
  • 8.2: Comp: 3,5,15,29,53,57
  • 8.2: One Step: 11,19,35,43,47,59,61,62,65,68,69
  • 8.3: Comp: 4,5,9,16,22,27,40
  • 8.3: One Step: 15,21,23,31,35,39,41,43

Week 10: Mar 26 - Mar 30

  • 8.4: Comparison Tests
  • Exam Review
  • Exam Three
  • 8.4,5: Comparison, Ratio, Root Tests

Homework

  • 8.4: Comp: 4,7,11,19,27,40
  • 8.4: OneStep: 15,22,29,35,39

Week11: Apr 2 - Apr 6 (Registration Week)

  • 8.5: Ratio and Root Tests
  • 8.6: Absolute, Conditional Convergence
  • 8.6: Absolute, Conditional Convergence
  • 8.7: Power Series

Homework

  • 8.5: Comp: 2,4,7,9,28,31,39
  • 8.5: OneStep: 13,19,21,23,36,37
  • 8.6: Comp: 3,6,9,15,20,23,30,35,46
  • 8.6: OneStep: 19,25,34,39,50,55,57

Week 12: Apr 9 - Apr 13

  • 8.7: Power Series
  • 8.7: Power Series
  • 8.8: Taylor Series
  • 8.8: Taylor Series

Homework

  • 8.7: Comp: 3,7,17,25,31,40
  • 8.7: OneStep: 13,21,27,37
  • 8.8: Comp: 3,7,9,15,17,21,27,33,35

Week 13: Apr 16 - Apr 20

  • 8.8: Taylor Series
  • 8.9: Convergence of Taylor Series
  • 8.9: Convergence of Taylor Series
  • 9.1: Polar Coordinates / Graphing

Homework

  • 8.8: OneStep: 19,31
  • 8.9: Comp: 1,5,10,15,35,49
  • 8.9: OneStep: 16,19,21,26,27,29,33,40,44
  • 9.1: Comp: 1,3,5,9,13,19,22,23,29,39,43,53,54,59
  • 9.1: OneStep: 27,35,61

Week 14: Apr 23 - Apr 27

  • 9.2: Areas
  • Exam Review
  • Exam Four
  • 9.3: Lengths

Homework

  • 9.2: Comp: 3,7,11,13,17,21,23,25,27
  • 9.3: Comp: 1,3,5,17,19,28
  • 9.3: OneStep: 7,9,11,25

Week 15: Apr 30 - May 4

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

Homework