AB Calculus Links

General Calculus Links:

Bookmark and utilize: College board AP AB site (the good one): http://apcentral.collegeboard.com/apc/members/exam/exam_information/232050.html

Bookmark and utilize: http://patrickjmt.com/#calculus / https://www.youtube.com/user/patrickJMT/videos

Bookmark and utilize: https://www.khanacademy.org/math/differential-calculus

Bookmark and utilize:https://www.khanacademy.org/math/integral-calculus

Bookmark and utilize: https://www.youtube.com/user/TheIntegralCALC

Bookmark and utilize OR install the app: Calcchat.com: http://www.calcchat.com/book/Calculus-9e/ - Worked out solutions to all of the odd problems from your textbook.

All of Calculus 1 in 20 minutes: Part 1 / Part 2 

 

Specific Calculus Topic Links:

Solving an Equation on a TI83/84 - Intersect Method

Solving an Equation on a TI83/84 - Finding the Zeroes Method

P.4 - Linear Regression on a TI-83 

P.4 - Quadratic Regression on a TI-83

P.4 - Cubic Regression on a TI-83

 

1.2 - Finding Limits from a Graph

1.2 Pre - Making a Table of Values Using Ask-x on a TI 83/84 Graphing Calculator

1.2 - Estimating a Limit Using a TI 83/84 Graphing Calculator

1.2 - Finding Limits Numerically

1.2 - Full Lecture with Professor Leonard

1.3 - Evaluating Limits Analytically 

1.3 - Evaluating Limits by Direct Substitution

1.3 - Evaluating Limits by Cancellation

1.3 - Evaluating Limits by Rationalization

1.3 - Special Trigonometric Limits

1.3 - Intermediate Value Theorem

1.3 - Limits of Difference Quotients

1.3 - Full Lecture with Professor Leonard

1.4 Supplemental - Solving Absolute Value Inequalities

1.4 - One Sided Limits

1.4 - Limit Definition of Continuity

1.4 - Intermediate Value Theorem

1.4 - The Greatest Integer (or Floor) Function

1.4 - Greatest Integer Function on the TI83/84

1.5 - Infinite Limits

1.5 - Vertical Asymptotes and Infinite Limits

3.5 - Limits at Infinity

3.5 - Horizontal Asymptotes and Limits at Infinity

 

2.1 - Limits Definition of the Derivative

2.1 - Definition of Differentiability

2.1 – Using the Definition of the Derivative to Find Limits

2.1 - Evaluating a Derivative at a Point Using the nderiv Function on a TI-83/84

2.1 - Full Lecture with Professor Leonard

2.2-Basic Derivatives Using Power Rule (Patrick JMT)

2.2-Power Rule for Derivatives (Khan Academy, more videos listed at the left)

2.2 - Full Lecture with Professor Leonard

2.3-Product Rule for Derivatives

2.3-Quotient Rule for Derivatives

2.3 - Lecture with Professor Leonard - Part 1

2.3 - Lecture with Professor Leonard - Part 2

2.3 - Lecture with Professor Leonard - Part 3

2.4 - Intro to Chain Rule - patrickjmt

2.4-Basic Chain Rule

2.4-More Chain Rule - patrickjmt 

2.4-Chain Rule with Product Rule, Ex1

2.4-Chain Rule with Product Rule, Ex2

2.4 - Chain Rule - Harder Example #1

2.4 - Chain Rule - Harder Example #2

2.4 - Horizontal and Vertical Tangent Lines Using a Product Rule/Chain Rule Example

2.4 - Full Lecture with Professor Leonard

2.5-Implicit Differentiation – Basic Idea and Examples

2.5-Implicit Differentiation – Extra Examples

2.5-Implicit Differentiation – More Examples

2.5-Implicit Differentiation and Second Derivatives

2.5 - Full Lecture with Professor Leonard

2.5 - Finding Horizontal and Vertical Tangent Lines Using Implicit Differentiation - Video 1

2.5 - Finding Horizontal and Vertical Tangent Lines Using Implicit Differentiation - Video 2

2.6 - Related Rates - Introduction

2.6 – Related Rates

2.6 - Full Lecture with Professor Leonard

 

3.1 – Finding Absolute Extrema

3.1-3.4 - Lecture with Professor Leonard - Part 1 - LONG!

3.2 - Lecture with Professor Leonard - SHORT!

3.1-3.4 - Lecture with Professor Leonard - Part 2

3.1-3.4 - Lecture with Professor Leonard - Part 3

3.2 – Rolle’s Theorem

3.2 – Mean Value Theorem

3.3-Finding Increasing and Decreasing Intervals

3.3-Finding Relative (Local) Extrema

3.4-Finding Concavity Intervals 

3.4-Finding Inflection Points

3.4-Identifying Local Extrema with the SECOND Derivative Test

3.5 - Limits at Infinity

3.5 - Finding Horizontal Asymptotes

3.5 - Full Lecture with Professor Leonard

3.6 Curve Sketching with Calculus (Drawing Pretty, Pretty Pictures)

3.6 - Full Lecture with Professor Leonard

3.7 - Optimization with Calculus

3.7 - Full Lecture with Professor Leonard

3.9 - Tangent Line Approximation

3.9 - Differentials

3.9 - Differentials and Error Approximation

 

4.1 - Basic Indefinite Integration

4.1 - An Introduction to Indefinite Integration

4.1 - Initial Value Problems - Solving Basic Differential Equations with an Initial Condition

4.1- Vertical Gravitational Motion Problems

4.1 - Full Lecture with Professor Leonard

4.2 - LRAM - Left Riemann Sum

4.2 - RRAM - Right Riemann Sum

4.2 - MRAM - Midpoint Riemann Sum

4.2 - Trapezoidal Sum

4.2 - Full Lecture with Professor Leonard

4.3 - Basic Integral Properties

4.3 - Introduction to Definite Integrals

4.4 - Basic Definite Integrals

4.4 - Fundamental Theorem of Calculus

4.4 - Evaluating a Definite Integral on a TI83/84

4.4 - The SECOND Fundamental Theorem of Calculus

4.4 - Average Value of a Function

4.4 - Accumulation Functions

4.4 - Net Change Theorem

4.4 - AP Motion Problems - Particle Motion

4.4 – Net Change Theorem Application Problems

4.5 - Integration using u substitution

4.5 - Definite Integration using u substitution

4.5 - Integrals of Even and Odd Functions showing WHY

4.5 - Integrals of Even and Odd Functions showing HOW (greater depth with examples)

4.5 - Differential Equation with an Initial Condition, aka an Initial Value Problem

4.5 - Definite integral example, including u-substitution

4.5 - Full Lecture with Professor Leonard

4.6 - Trapezoidal Sum 

 

5.1 - Differentiation of Natural Logarithmic Functions

5.1 - Logarithmic Differentiation - An Application of Implicit Differentiation

5.1 Pre - Logarithm Properties

5.1 Pre - Solving Logarithmic Equations by Exponentiation

5.1 Pre - Solving Natural Logarithmic Equations by Exponentiation

5.2 - Integration Involving Natural Logarithmic Functions

5.3 - Derivatives of Inverses

5.3 Pre - Inverse Functions

5.4 - Derivatives of Exponential Functions with Base e

5.4 - Integration of Exponential Functions with Base e

5.5 - Derivatives of Log Functions with Bases Other than e

5.5 - Derivatives of Exponential Functions with Bases Other than e

5.5 - Integration of Exponential Functions with Bases Other than e

5.6 - Derivatives of Inverse Trig. Functions

5.6 Pre - Inverse Trigonometric Functions

5.6 Pre - Evaluating Inverse Trig. Functions Using a Right Triangle Approach

5.6 Pre - Evaluating Inverse Trig. Functions Using a Right Triangle Approach - Specifically with a Composite Expression

5.6 Pre - Solving Trigonometric Equations

 

6.1 - Slope Fields

6.2/6.3 - Solving a Differential Equation by Separation of Variables

6.2 - Solving a Differential Equation by Separation of Variables - Exponential Growth

6.2 - Exponential Growth and Decay with Calculus

 

7.1 - Area Between Two Curves (integrating with respect to x)

7.1 - Area Between Two Curves (integrating with respect to y)

7.1 - Accumulation Functions

7.1 - Finding a Vertical Line that Splits a Region into Two Equal Parts - Basic

7.2 - Volume by Disks

7.2 - Volume by Washers

7.2 - Volume by Disks and Washers - Full Lectures

7.2 - Finding Volume when the Cross-Sectional Shape is Known (Square, Triangle, Rectangle, etc.)

7.3 - Finding Volume Using The Shell Method

7.3 - Video to go with Applet

7.3 Volume by Shells Applet / Other Calculus Applets from the Same Guy

7.4 - Arc Length

7.4 - Surface Area of a Volume of Revolution

 

8.7 - L'Hopital's Rule (Only worry about 0/0, ∞/∞, and -∞/∞ for now)

 

10.2 - Eliminating the Parameter

10.2 - Graphing Parametric Equations

10.2 - Parameterizing a Curve

10.2 Supplemental - Center Radius Form of a Circle

10.2 Supplemental - Completing the Square to Find the Equation of a Circle in Center Radius Form

10.2 Supplemental - Center Radii Form of an Ellipse

10.2 Supplemental - Center Radii Form of an Ellipse Derivation

10.2 Supplemental - Completing the Square to Find the Equation of an Ellipse in Center Radii Form

10.3 - Calculus in Parametric Coordinates

10.3 - Concavity with Parametric Coordinates

10.3 - Arc Length for Parametric Curves

10.3 - Surface Area for a Revolution in Parametric Coordinates

 

Extra Topics Specific to the AP Test:

Motion - Distance Traveled Integrals vs. Displacement Integrals (Net Change in Position Integrals)

Motion - Speeding Up vs. Slowing Down

Motion Problems - Particle Motion

Motion - AP Particle Motion Problems, especially Free Response Questions