Second Semester Calculus (Integration and Power Series)

Spring 2008

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Week 1: Jan 21 - Jan 25

  • No Class (Martin Luther King 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

  • 4.8: Comp: 5,7,11,13,15,17,20,23,24,35,63,73,81,87,99
  • 4.8: OneStep: 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

Week 2: Jan 28 - Feb 1

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

Homework

  • 5.3: Comp: 3,7,9,11,13,21,33,72
  • 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

Week 3: Feb 4 - Feb 8

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

Homework

  • 5.6: Comp: 5,9,19,23,29,47,77,93,112
  • 5.6: OneStep: 37,45,55,71,97,100,103,111
  • 6.1: Comp: 1,5,9,15,23,33
  • 6.1: OneStep: 11,26,27,43,46,49

Week 4: Feb 11 - Feb 15

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

Homework

  • 6.2: Comp: 3,9,13,17,29,
  • 6.2: OneStep: 19,23,26,33,36,39
  • 6.3: Comp:2,5,17,25,33
  • 6.3: One Step: 11,13,23,27,30
  • 6.4: Comp: 3,9,11,15,25,35,37
  • 6.4: OneStep: 17,23,28

Week 5: Feb 18 - Feb 22

  • 6.5: Differential Equations
  • 6.5: ODE's
  • 6_extra: Hypervolumes (Skip 6.6, 6.7)
  • 6_extra: Hypervolumes

Homework

  • 6.5: Comp: 2,4,6,13,19,21,32,34,37,39,41
  • 6.5: OneStep: 15,18,22,26,30,33,35
  • Hypervolume: Assigned in class

Week 6: Feb 25 - Feb 29

  • 7.1: Integration by Parts
  • 7.2: Trig Integrals / Exam Review
  • Exam Two
  • 7.3: Trigonometric Substitutions

Homework

  • 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

Week 7: Mar 3 - Mar 7

  • 7.3: Trigonometric Substitutions
  • 7.4: Partial Fractions
  • 7.4: Partial Fractions
  • 7.5: Tables, CAS

Homework

  • 7.3: Comp: 1,4,13,17,25,35,37
  • 7.3: OneStep: 11,23,27,29,31
  • 7.4: Comp: 3,5,7,11,15,19,21,25,29,33,41,43
  • 7.4: OneStep: 35,39,40,45,49,50
  • 7.5: Comp: 5,9,13,17,21,25,39,45
  • 7.5: OneStep: 27,29,31,34,47,49,53, 58

Week 8: Mar 10 - Mar 14

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

Homework

  • 7.6: Comp: 5,7,15,19,37
  • 7.6: OneStep: 25,27,32,35
  • 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 24 - Mar 28

  • 7.7 Finish
  • 8.1: Sequences / Exam Review
  • Exam Three
  • 8.1: Sequences

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

Week 10: Mar 31 - Apr 4

  • 8.2: Series
  • 8.2: Series
  • 8.3: Integral Test
  • 8.4: Comparison Tests

Homework

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

Week11: Apr 7 - Apr 11 (Registration Week)15

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

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 14 - Apr 18

  • 8.7: Power Series
  • 8.7: Power Series / Exam Review
  • Exam Four
  • 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
  • 8.8: OneStep: 19,31

Week 13: Apr 21 - Apr 25

  • 8.8: Taylor Series
  • 8.9: Convergence of Taylor Series
  • 8.9: Convergence of Taylor Series
  • 8.10: Binomial Series

Homework

  • 8.9: Comp: 1,5,10,15,35,49
  • 8.9: OneStep: 16,19,21,26,27,29,33,40,44
  • 8.10: Comp: 7,9,13
  • 8.10: OneStep: 18
  • 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 28 - May 2

  • 9.1,2: Polar Coordinates / Graphing
  • 9.2,3: Areas / Lengths
  • 9.3: Areas / Lengths
  • 9.4: Conic Sections

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
  • 9.4: Comp: 1-8,21,33,47,55
  • 9.4: OneStep: 25,35,39,41,43,57,59,67

Week 15: May 5 - May 9

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

Homework