Calculus and Analytic Geometry I

Spring 2006


Notes:

  1. " - " is used as shorthand for the last topic listed.
  2. On Friday turn in homework from the previous F,M,W.

Week 1: Jan 17 - Jan 20

  • MLK B-day
  • Section 1.1, Introduction and basics
  • Section 1.2, Lines in the Plane
  • Section 1.3 Functions and Graphs
Homework
  • Section 1.1 HW: 2, 4, 5, 11, 16*, 21, 30, 31, 33, 37, 42*, 45, 57, 59, 71*
  • Section 1.2 HW: 3, 8, 13, 15*, 21, 25, 29, 32* ,43* ,51 ,52
  • Section 1.3 HW: 5, 6, 7, 11, 15, 17*, 20, 23, 26, 29, 36*, 38, 39, 49, 51, 58, 59, 64*

Week 2: Jan 23 - Jan 27

  • -
  • Section 1.4 Inverse Functions
  • Brainstorming Session
  • -
Homework
  • Section 1.4 HW: 7, 9, 17, 21, 23, 28*, 29, 36, 42*, 49*

Week 3: Jan 30 - Feb 3

  • 2.1 Definition of Limit
  • -
  • Exam 1
  • 2.2 Algebra of Limits
Homework
  • Section 2.1 HW: 5, 8*, 14, 24*, 27, 33, 39, 52*
  • Section 2.2 HW: 3, 9, 13, 20*, 32*, 41, 43, 49, 57, 60*, 62

Week 4: Feb 6 - Feb 10

  • 2.3 Continuity
  • -
  • Brainstorming Session
  • 2.4 Exponential and Logarithmic Functions
Homework
  • Section 2.3 HW: 1, 4, 9, 12*, 15, 19, 25, 28*, 37*, 41, 46, 48*
  • Section 2.4 HW: 3,9,14,17*,18,31, 40*,43,47, 58*,63*

Week 5: Feb 13 - Feb 17

  • -
  • 3.1 Introduction to Derivatives
  • Brainstorming Session
  • 3.2 Differentiation Techniques
Homework
  • Section 3.1: 7, 23, 27, 33, 38*, 41, 47*, 49, 52*, 57, 61, 69
  • Section 3.2: 3, 9, 13, 19, 23, 29, 39, 42, 46*, 49, 55*, 57, 63*

Week 6: Feb 20 - Feb 24

  • -
  • 3.3 Trigonometric, Exponential, Logarithmic Derivatives
  • Exam 2
  • 3.4 Rates of Change
Homework
  • Section 3.3: 3, 5, 15, 24*, 31, 35, 41, 45, 51, 54*, 59*
  • Section 3.4: 5, 9, 16*, 19, 22, 27, 31, 39, 44*, 51, 59, 62*

Week 7: Feb 27 - Mar 3

  • -
  • 3.5 Chain Rule
  • Brainstorming Session
  • -
Homework
  • Section 3.5: 5, 7, 11, 21, 37*, 39, 43, 48*, 49, 51, 55, 59, 61, 69*, 71

Week 8: Mar 6 - Mar 10

  • 3.6 Implicit Differentiation
  • -
  • Brainstorming Session
  • 3.7 Related Rates
Homework
  • Section 3.6: 5, 12*, 17, 23, 27, 36*, 41, 45, 51, 56, 61, 63, 68*
  • Section 3.7: 3, 9, 11, 15, 19, 23, 27, 30*, 33, 35*, 42*, 45

Spring Break: Mar 13 - Mar 17

Week 9: Mar 20 - Mar 24

  • -
  • 3.8 Linear Approximation
  • Brainstorming Session
  • 4.1 Extreme Values
Homework
  • Section 3.8: 5, 9, 15, 22*, 25, 30*, 33, 39*, 43, 47, 50*, 55, 60
  • Section 4.1: 3, 9, 13, 17, 20*, 29, 33, 41, 44, 47, 48*, 53, 57, 60*

Week 10: Mar 27 - Mar 31

  • -
  • 4.2 Mean Value Theorem
  • Exam 3
  • 4.3 Sketching with Derivatives
Homework
  • Section 4.2: 5, 11, 20*, 25, 30*, 35, 37, 38, 44*, 51, 53
  • Section 4.3: 7, 11, 15, 21, 34*, 39, 41, 46*, 47, 49, 54, 59, 62*

Week11: Apr 3 - Apr 7

  • 4.4 Sketching with Derivatives and Asymptotes
  • -
  • Brainstorming Session
  • 4.5 L'Hospital's Rule
Homework
  • Section 4.4: 7, 11, 17, 23, 25, 30*, 42, 43, 48*, 49, 51, 52*
  • Section 4.5: 2, 5, 11, 15, 21, 27*, 33, 34*, 40*, 48, 55, 61

Week 12: Apr 10 - Apr 14

  • 4.6 Optimization
  • -
  • Brainstorming Session
  • Section 4.7
Homework
  • Section 4.6: 7, 9, 11, 12*, 17, 19, 23, 26*, 31, 33, 34*, 36
  • Section 4.7: 3, 7, 14*, 19, 28*, 33, 36, 47*

Week 13: Apr 17 - Apr 21

  • 5.1 Antidifferentiation
  • 5.2 Area as a Limit of a Sum
  • Exam 4
  • -
Homework
  • Section 5.1: 5, 11, 15, 22*, 29, 33, 37, 40*, 46*, 47, 56*
  • Section 5.2: 2, 3, 7, 8*, 11, 15, 21, 23, 26*, 33, 39, 43, 48

Week 14: Apr 24 - Apr 28

  • 5.3 Riemann Sums and the Definite Integral
  • -
  • Brainstorming Session
  • 5.4 Fundamental Theorems of Calculus
Homework
  • Section 5.3: 3, 9, 13, 19, 22*, 23, 25, 29, 36*, 38*, 40, 41
  • Section 5.4: 5, 9, 15, 23, 30*, 33, 37, 41, 43, 47, 53, 54*, 58*, 62*, 65

Week 15: May 1 - May 3

  • -
  • Review
Homework
  • Section 2.3 HW: 1, 4, 9, 12*, 15, 19, 25, 29*, 37*, 41, 46, 48*
  • Section 2.4 HW: 3, 9, 14, 17*, 18, 31, 40*, 43, 47, 58*, 63*