Calculus I: Fall 2008

This schedule is tentative and may be modified as necessary.

Unless otherwise noted, homeworks are due at 4pm on the following Tuesday.

Approximate Schedule for Math 1101 Section 4 Fall 2008

Date

Reading

Homework

  Sept. 3

  § 1.1: Four ways to represent a function

  § 1.1: 5, 6, 20, 28, 30, 34, 38, 44, 45, 64, 68, 69
  Extra Knowledge (no credit) § 1.1: 22, 32

  Sept. 8, 10

  § 1.2: A catalog of essential functions
  § 1.3: New functions from old functions
  § 1.5: Exponential functions
  § 1.6: Inverse functions and logarithms

  § 1.2: 2, 4, 8, 9, 11, 18
  § 1.3: 3, 12, 13, 30, 34, 39, 41, 51(a), 64
  § 1.5: 14, 15, 25
  § 1.6: 5, 9, 10, 15, 24, 38, 48, 61
  Extra Knowledge (no credit) § 1.6: 20

  Sept. 15, 17

  § 2.1: The tangent and velocity problems
  § 2.2: The limit of a function
  § 2.3: Calculating limits using limit laws

  § 2.1: 2, 7
  § 2.2: 2, 5, 8, 12, 14, 28
  § 2.3: 1, 2, 4, 5, 9, 10, 13, 23, 36, 41, 46
  Extra Knowledge (no credit) § 2.2: 32, § 2.3:37

  Sept. 22, 24

  § 2.5: Continuity
  § 2.6: Limits at infinity and horizontal asymptotes
  § 2.7: Derivatives and rates of change
  § 2.8: The derivative as a function

  § 2.5: 4, 5, 6, 9, 12, 14, 19, 21, 33, 35, 37, 42, 45, 49
  § 2.6: 3, 22, 28, 36
  § 2.7: 6, 14, 28, 32, 37
  § 2.8: 13, 19, 20, 24, 30(a-c)
  Extra Knowledge (no credit) § 2.8: 55

  Sept. 29,
  Oct. 1

  § 3.1: Derivatives of polynomials and exponential functions
  § 3.2: The product and quotient rules
  § 3.3: Derivatives of trigonometric functions

  § 3.1: 3, 8, 10, 24, 27, 34, 36, 50(a,b), 52, 53, 54, 67
  § 3.2: 12, 14, 28, 34, 47(a)
  § 3.3: 2, 3, 10, 16, 24, 34, 39, 48
  Extra Knowledge (no credit) § 3.1: 65

Due Oct. 10

  Oct. 6

1st Midterm

The midterm will cover the material of the first two chapters.

In order to prepare for this midterm you should redo the homework sets up to and including the one due on Sept. 30th.

  Oct. 8

  § 3.4: The chain rule
  § 3.6: Derivatives of logarithmic functions (without Logarithmic Differentiation)

  § 3.4: 1, 4, 11, 12, 20, 26, 40, 41, 48, 52, 62, 78
  § 3.6: 2, 3, 21, 25, 28, 31, 33
  Extra Knowledge (no credit) § 3.4: 74

  Oct. 13, 15

  § 3.5: Implicit differentiation
  § 3.6: Derivatives of logarithmic functions (Logarithmic Differentiation)
  § 3.9: Related rates
  § 3.11: Hyperbolic functions

  § 3.5: 4, 8, 23, 26, 34, 41, 50, 60, 68
  § 3.6: 45, 49
  § 3.9: 3, 16
  § 3.11: 1,3,5,51
  Extra Knowledge (no credit) § 3.5: 42, § 3.6: 54, § 3.9: 31,33,36, § 3.11: 11,12,30,40,42,46

  Oct. 20, 22

  § 3.10: Linear approximations and differentials
  § 4.1: Maximum and minimum values
  § 4.2: The Mean Value Theorem

  § 3.10: 2, 11, 17, 23, 37
  § 4.1: 4, 7, 30, 34, 36, 44, 47, 59, 70
  § 4.2: 1, 4, 6, 14, 17, 27, 32
  Extra Knowledge (no credit) § 4.1: 76, § 4.2: 21

  Oct. 27, 29

  § 4.4: Indeterminate forms and l'Hospital's rule
  § 4.3: How derivatives affect the shape of a graph
  § 4.5: Summary of curve sketching

  § 4.3: 10, 14, 15, 16, 21, 23, 43, 47, 68, 72(a)
  § 4.4: 5, 13, 15, 17, 39, 40, 46, 52, 53, 60
  § 4.5: 2, 22, 31, 32, 54
  Extra Knowledge (no credit) § 4.3: 69, § 4.4: 70

Due Nov. 6

  Nov. 5

  § 4.7: Optimization problems
  § 4.8: Newton's method

  § 4.7: 5, 11, 18, 38, 41
  § 4.8: 3, 5, 40
  Extra Knowledge (no credit) § 4.7: 59

Due Nov. 13

  Nov. 10

2nd Midterm

This midterm will cover the material up to section 4.5.

In order to prepare for this midterm you should redo the five homework sets up to and including the one due on 11/6/2008.

  Nov. 12

  § 4.9: Antiderivatives

  § 4.9: 2, 5, 9, 12, 15, 26, 34, 46, 47, 63
  Extra Knowledge (no credit) § 4.9: 71

  Nov. 17, 19

  § 5.1: Areas and distances
  § 5.2: The definite integral
  § 5.3: The Fundamental Theorem of Calculus

  § 5.1: 4, 12, 17, 20
  § 5.2: 7, 17, 22, 28, 34, 36, 40, 42, 48, 50, 54, 65
  § 5.3: 2, 7, 14, 18, 21, 29, 37, 41, 44, 52, 54, 58
  Extra Knowledge (no credit) § 5.1: 26, 5.2: 67

  Nov. 24, 26

  § 5.4: Indefinite integrals and the Net Change Theorem
  § 5.5: The substitution rule
  § 6.1: Areas between curves

  § 5.4: 3, 6, 12, 18, 22, 30, 32, 44, 47, 52
  § 5.5: 1, 4, 5, 14, 22, 30, 38, 58, 66, 69
  § 6.1: 6, 15, 27, 32
  Extra Knowledge (no credit) § 5.5: 88

  Dec. 1, 3

  § 6.2: Volumes
  § 6.3: Volumes by cylindrical shells
  § 6.5: Average value of a function

  § 6.2: 3, 6, 44, 50
  § 6.3: 4, 14, 18, 22, 30, 42, 43, 44
  § 6.5: 1, 5, 10, 18(b)
  Extra Knowledge (no credit) § 6.5: 14

  Dec. 8

Review