# AP CALCULUS VODCASTS

 IMPORTANT: Make sure you have your notes packet with you when you watch the vodcasts. Fill out your notes while you watch the vodcast. Make liberal use of your pause and rewind buttons when necessary! Write down any questions you may have and bring them to class or send an email to Mr. Leckie.

## ***NOTECARD CHECKLIST***

CHAPTER 1 ALL Chapter 1 Notes

Lesson 1.1: Lines Vodcast 1.1
1.1 Notes
Worksheet 1.1
Lesson 1.2: Functions and Graphs Vodcast 1.2 Part 1: Functions and Intervals Functions
Vodcast 1.2 Part 2: Even and Odd
Vodcast 1.2 Part 3: Piecewise and Composite
1.2 Notes
Worksheet 1.2
Lesson 1.3: Exponential Functions Vodcast 1.3
1.3 Notes
Worksheet 1.3
Transformations Lesson Vodcast Transformations
Transformations Notes
Worksheet Transformations
Introduction to Conics Lesson Vodcast Introduction to Conics
Introduction to Conics Notes
Worksheet Conics
Lesson 1.4: Parametric Equations Vodcast 1.4
1.4 Notes
Worksheet 1.4
Lesson 1.5: Functions and Logarithms Vodcast 1.5
1.5 Notes
Worksheet 1.5
Lesson 1.6: Trigonometric Functions Vodcast 1.6
1.6 Notes
Worksheet 1.6
Review for Chapter 1 is included
Chapter 1 Review In Class Review Worksheet
In Class Review Worksheet SOLUTIONS

CHAPTER 2 ALL Chapter 2 Notes

Lesson 2.1: Rates of Change and Limits Vodcast 2.1 Part 1: What is a Limit
Vodcast 2.1 Part 2: When Limits Fail
Vodcast 2.1 Part 3: Finding Limits Algebraically
Vodcast 2.1 Part 4: One-Sided Limits
Vodcast 2.1 Part 5: Proof of
2.1 Notes
Worksheet 2.1
Lesson 2.2: Limits Involving Infinity Vodcast 2.2
2.2 Notes
Worksheet 2.2
Lesson 2.3: Continuity Vodcast 2.3 Part 1: Definition of Continuity
Vodcast 2.3 Part 2: Using the Definition
2.3 Notes
Worksheet 2.3
Lesson 2.4: Rates of Change and Tangent Lines Vodcast 2.4
2.4 Notes
Worksheet 2.4
Review for Chapter 2 is Included
Chapter 2 Review In Class Review Worksheet
In Class Review Worksheet SOLUTIONS

CHAPTER 3.1 - 3.5 ALL Chapter 3.1 - 3.5 Notes

Lesson 3.1: Derivative of a Function Vodcast 3.1 Part 1: Definition of a Derivative
Vodcast 3.1 Part 2: Alternative Definition of a Derivative
Vodcast 3.1 Part 3: Relationship between graphs of f and f'
3.1 Notes
Worksheet 3.1
Lesson 3.2: Differentiability Vodcast 3.2 Part 1: Where Does a Derivative Not Exist?
Vodcast 3.2 Part 2: Using the Calculator to Find the Derivative at a Point
3.2 Notes
Worksheet 3.2
Lesson 3.3: Rules for Differentiability Vodcast 3.3 Part 1: The Basics
Vodcast 3.3 Part 2: Product Rule, Quotient Rule, and Higher Order Derivatives
3.3 Notes
Worksheet 3.3
Lesson 3.4: Velocity and Other Rates of Change Vodcast 3.4 Part 1: Position, Velocity, and Acceleration
Vodcast 3.4 Part 2: Marginal Cost, Profit, & Revenue
3.4 Notes
Worksheet 3.4
Lesson 3.5: Derivatives of Trigonometric Functions Vodcast 3.5
3.5 Notes
Worksheet 3.5
Chapter 3.1 - 3.5 Review Sheet
Chapter 3.1 - 3.5 Review Sheet Solutions

CHAPTER 3.6 - 4.4 ALL Chapter 3.6 - 4.4 Notes

Lesson 3.6: Chain Rule Vodcast 3.6
3.6 Notes
Worksheet 3.6
Lesson 3.7: Implicit Differentiation Vodcast 3.7
3.7 Notes
Worksheet 3.7
Lesson 3.8: Derivatives of Inverse Trigonometric Functions Vodcast 3.8 Part 1: Inverse Trig Derivatives
Vodcast 3.8 Part 2: Derivatives of Other Inverse Functions
3.8 Notes
Worksheet 3.8
Lesson 3.9: Derivatives of Exponential and Logarithmic Functions Vodcast 3.9
3.9 Notes
Worksheet 3.9
Lesson 4.1: Extreme Values of Functions
& Lesson 4.4: Optimization
Vodcast 4.1
Vodcast 4.4 Part 1
Vodcast 4.4 Part 2
4.1 Notes (includes 4.4)
Worksheet 4.1
Lesson 4.2: Mean Value Theorem Vodcast 4.2: Part I: The Mean Value Theorem
Vodcast 4.2: Part II: Increasing and Decreasing
Vodcast 4.2: Part III: Antiderivatives ... An Introduction
4.2 Notes
Worksheet 4.2
Lesson 4.3: Connecting f ' and f '' with the Graph of f Vodcast 4.3: Part I: The First Derivative TEST
Vodcast 4.3: Part II: Concavity
Vodcast 4.3: Part III: Points of Inflection & The Second Derivative TEST
4.3 Notes
Worksheet 4.3

Chapter 3.6 - 4.4 Review Sheet
Chapter 3.6 - 4.4 Review Sheet Solutions

CHAPTER 4.5 - 5.5 All Chapter 4.5 - 5.5 Notes

Lesson 4.5: Linearization Vodcast 4.5 Part I: Linearization
Vodcast 4.5 Part II: Differentials
Vodcast 4.5 Part III: Percentages and Errors
4.5 Notes
Worksheet 4.5
Lesson 4.6: Related Rates Vodcast 4.6
4.6 Notes
Worksheet 4.6
Lesson 5.1: Estimating with Finite Sums (LRAM, RRAM, MRAM) Vodcast 5.1
Lesson 5.5: Trapezoid Rule Vodcast 5.5
5.1 (w/5.5) Notes
Worksheet 5.1
Lesson 5.2: Definite Integrals Vodcast 5.2
Finding Definite Integrals on TI84 and TI83
5.2 Notes
Worksheet 5.2
Lesson 5.3: Definite Integrals and Antiderivatives Vodcast 5.3: Part I: Rules of Definite Integrals
Vodcast 5.3: Part II: Average Value of a Function
5.3 Notes
Worksheet 5.3
Lesson 5.4: The Fundamental Theorem of Calculus Vodcast 5.4: Part I: The Evaluation Part
Vodcast 5.4: Part II: The Derivative of an Integral Part
Vodcast 5.4: Part III: An Example to Put It All Together
5.4 Notes
Worksheet 5.4

Chapter 4.5 - 5.5 Review Solutions

CHAPTER 6 All Chapter 6 Notes (6.1, 6.2, & 6.4)
Lesson 6.1: Antiderivatives and Slope Fields Vodcast 6.1
Notes 6.1
Worksheet 6.1
Lesson 6.2: Antidifferentiation by Substitution Vodcast 6.2: Part I: Definite and Indefinite Integrals with Substitution
Vodcast 6.2: Part II: Algebraic Techniques of Integration
Vodcast 6.2: Part III: Integration and Trigonometric Functions
Notes 6.2
Worksheet 6.2
Worksheet 6.2 Solutions
Lesson 6.4: Exponential Growth and Decay Vodcast 6.4
Notes 6.4
Worksheet 6.4
Chapter 6 Review Sheet
Chapter 6 Review Sheet Solutions

CHAPTER 7 ALL Chapter 7 Notes
Lesson 7.1: Integrals as Net Change Vodcast 7.1
Notes 7.1
Worksheet 7.1
7.2 Areas in the Plane Vodcast 7.2
Notes 7.2
Worksheet 7.2
7.3 Volumes Vodcast 7.3: Part 1: Volumes of Solids with Known Cross Sections
Vodcast 7.3: Part II: Volumes of Revolution (Disc Method)
Vodcast 7.3: Part III: Volumes of Revolution (Washer Method)
Vodcast 7.3: Part IV: Volumes of Revolution (Shell Method)
Notes 7.3
Worksheet 7.3 Day 1 (Cross Sections)
Worksheet 7.3 Day 2 (Disc)
Worksheet 7.3 Day 3 (Washer)
Worksheet 7.3 Day 4 (Shell)
Solutions to Chapter 7 Worksheets

And Just for Fun ... Some Calculus Videos from YouTube
"I Will Derive" ... Music video ("I will Survive")
U Sub ... A "tutorial" on Substitution