Tentative Schedule: 

Chapter 2 : Chapter 3 : Chapter 4 : Chapter 5

- Links to online documents and assignments are listed in blue.

Chapter 2 

Week of ... Monday Wednesday Thursday
8/15/11 Course Introduction
Sec 2.1
Secant and Tangent Lines
Sec 2.1
Secant and Tangent Lines
Sec. 2.2
The Limit - graphically and numerically
delta-epsilon definition
8/22/11 Sec 2.3
The Limit - Analytically
Sec 2.4
Continuity
Intermediate Value Theorem

Sec 2.5
Limits involving Infinity

8/29/11 Q & A Day for Test #1 Test #1

 

Chapter 2 Homework Assignments

Sec 2.1    page 67: 1-3, 7, 8

Sec 2.2    page 74: 1, 5, 7, 9, 11, 14, 17, 23, 28, 33, 35, 38, 39, 49

Sec 2.3    page 87: 3, 7, 11, 21, 35, 37, 41, 43, 51-61 odd, 62, 69, 79, 80, 83, 109, 110

Sec 2.4    page 98: 3-6, 7-21 odd, 41-55 odd, 56, 63, 87, 90, 94

Sec 2.5    page 108: 9-17 odd, 33-38, 64, 67,

Applets for Chapter 2 topics

Continuity and Limits

  1. An Informal, Graphical View of Continuity
  2. Intermediate Value Theorem
  3. Informal View of Limits
  4. One- and Two-Sided Limits and When Limits Fail to Exist
  5. Limits at Infinity
  6. Table View of Limits
  7. Formal Definition of Limits
  8. Definition of Continuity Using Limits

 

Chapter 3 

Week of ... Monday Wednesday Thursday
8/29/11     Sec 3.1
Definition of the derivative
Tangent Line
9/5/11 Labor Day - CVGS Closed Sec 3.2
Basic differentiation rules and properties
Sec 3.2
Basic differentiation rules and properties
9/12/11 Sec 3.3
Product and Quotient Rules
Sec 3.4
Chain Rule
Q & A Day
9/19/11 Sec 3.5
Implicit Differentiation
Logarithmic differentiation
Sec 3.5 cont
Implicit Differentiation
Logarithmic differentiation

Sec 3.6
Derivative of inverse functions

9/26/11 Sec 3.7
Related Rates
Sec 3.7
Related Rates

Sec 3.8
Newton's Method

10/3/11 Teacher Work day Q & A Day Test #2

Chapter 3 Homework Assignments

Sec 3.1 page 123: 4, 7-23 odd, 37-40, 81-86

Sec 3.2 page 136: 3-23 odd, 39-51 odd, 57-61, 93, 95 97-100, 105, 108

Sec 3.3 page 147: 1-11 odd, 27, 31, 35, 41-57 odd, 77, 79, 91-93

Sec 3.4 Page 161: 9-35 odd, 55-75 odd, 159, 161, 169

Sec 3.5 Page 170: 1-19 odd, 31-37 odd, 40, 42, 45, 75, 87, 88

Sec 3.6 Page 179: 7, 9, 19-30, 65, 69, 71

Sec 3.7 Page 187: 3, 15, 19-24, 30-33, 35, 39, 48

Sec 3.8 Page 195: 5, 9, 15, 19, 21, 23, 47

Applets for Chapter 3 topics

Introduction to the Derivative

    1. Average Velocity and Speed
    2. Instantaneous Velocity
    3. Derivative at a Point
    4. Derivative Function
    5. A Tabular View of the Derivative
    6. Second Derivative
    7. A Tabular View of the Second Derivative
    8. Differentiability
    9. Twice Differentiable
    10. Making a Piecewise Function Continuous and Differentiable

Differentiation Short Cuts

    1. Constant, Line, and Power Functions
    2. Exponential Functions
    3. Trigonometric Functions
    4. Constant Multiple
    5. Combinations: Sum, and Difference
    6. Combinations of Functions: Product and Quotient
    7. Composition of Functions (the Chain Rule)
    8. Transformations of Functions
    9. Inverses of Functions
    10. Hyperbolic Functions
    11. Linear Approximation
    12. Mean Value Theorem

 

Chapter 4 

Week of ... Monday Wednesday Thursday
10/10/11 Sec 4.1, 4.2
Extrema on an Interval
Rolle's Theorem, Mean Value Theorem
Sec 4.3
Increasing/Decreasing
1st Derivative Test

Sec 4.4
Concavity

10/17/11

Sec 4.4 cont, Sec 4.6
2nd Derivative Test
Curve Sketching

Sec 4.5
Limits at infinity

Q & A

10/24/11 Sec 4.7
Optimization
Sec 4.7 cont.
Optimization

Sec 4.7 cont.
Optimization

10/31/11 Q & A Test #3  

Chapter 4 Homework Assignments

Sec 4.1 Page 209: 1, 2, 13, 15, 16, 17, 23, 27, 31, 33, 34, 75

Sec 4.2 Page 216: 11, 15, 17, 19, 33, 45, 47, 52, 63, 69-71

Sec 4.3 Page 226: 5, 6, 9, 10, 11, 15, 21, 27, 33, 35, 39, 41, 43, 46, 47, 69-72, 87, 93, 97, 99

Sec 4.4 Page 235: 15-27 odd, 29, 37, 43, 47, 63-70, 75, 79, 87

Sec 4.5 Page 245: 17-24

Sec 4.6 Page 255: 7, 9, 11, 15, 23, 25, 39, 43, 45,

Sec 4.7 Page 265: 2-6, 9-10, 13, 17, 19, 20, 22, 27-29, 42a, 43, 45, 47, 52, 60

Sec 4.8 Page 276: 25, 27, 31, 34, 35, 37, 41, 45, 47

 

Applets for Chapter 4 topics

Applications of Differentiation

  1. Curve Analysis: Basics
  2. Curve Analysis: Special Cases
  3. Curve Analysis: Global Extrema
  4. Optimization: Maximize Volume
  5. Extreme Value Theorem
  6. Related Rates
  7. L'Hopital's Rule
  8. Parametric Derivatives
  9. Polar Derivatives
  10. Motion on a Line
  11. Motion in the Plane

Chapter 5

Week of ... Monday Wednesday Thursday
10/31/11     Sec 5.1, 5.2
Antiderivative,
indefinite integrals and area
11/7/11 Sec 5.3
Riemann Sums and definite integrals
Sec 5.3 cont
Riemann Sums and definite integrals
SENIOR LAB DAY
11/14/11 Sec 5.4
Fundamental Theorem of Calculus
Sec 5.5
Integration by Substitution
Sec 5.5 cont
Integration by Substitution
11/21/11 Test #4 Thanksgiving

Holiday

11/28/11 Sec 5.6
Numerical Integration
Sec 5.6 cont
Numerical Integration

Sec 5.6 cont
Numerical Integration

12/5/11 Sec 5.4
Differentials
Sec 5.7
Integration of the natural log function

Sec 5.8
Integration of the inverse trig functions

12/12/11 Q & A for Final Exam SCIENCE EXAM
Tues, Dec 13, 2011
MATH EXAM
Wed, Dec 14, 2011
CVGS Closed

Chapter 5 Homework Assignments

Sec 5.1 Page 291: 5, 7, 17, 21, 23, 25, 31, 33, 35, 43, 49, 50, 63, 67, 69, 70, 71, 74, 77, 79, 83, 85, 87, 93

Sec 5.2 Page 303: 15, 17, 19, 23-29 odd, 35, 39, 41, 47

Sec 5.3 Page 314: 1, 3-6, 9, 11, 17-19, 23, 25, 31, 45, 47,

Sec 5.4 Page 327: 5, 9, 13, 15, 27, 29, 31, 35, 37, 41, 57-63 odd, 73, 77, 93, 95

Sec 5.5 Page 340: 7-23 odd, 47-67 odd, 85, 95, 101, 103, 109, 125

Sec 5.6 Page 350: 1, 7, 17, 19, 23, 27-33 odd, 48, 54

Sec 5.7 Page 358: 1-7 odd, 13, 19, 25-31 odd, 35, 79, 85, 93

Sec 5.8 Page 366: 1-25 odd, 31, 35, 43, 45

Sec 5.9 Page 377: 7, 9, 10, 15-20, 29, 37, 39-45 odd, 57, 59, 73-79 odd

Sec 10.2 Page 717: 3-11 odd, 17, 51, 53

Sec 10.3 Page 725: 1, 3, 15, 16, 27, 31

Sec 10.4 Page 736: 1, 3, 5, 23-26, 27-41 odd, 81-86, 89, 91, 59, 60

Applets for Chapter 5 topics

Introduction to the Definite Integral

    1. Approximating Distance Traveled With a Table
    2. Approximating Distance Traveled With a Graph
    3. Riemann Sums and The Definite Integral
    4. Fundamental Theorem of Calculus
    5. Average Value
    6. Properties of Definite Integrals

Constructing Antiderivatives

    1. Antiderivatives from Slope and the Indefinite Integral
    2. Accumulation Functions
    3. Basic Antiderivatives
    4. Second Fundamental Theorem of Calculus
    5. Functions Defined Using Integrals
    6. Equations of Motion

Integration Techniques

    1. Substitution
    2. Midpoint and Trapezoid Riemann Sums