Mr. Sutton Presents... AP Calculus BC

Description

Mr. Sutton Presents... AP Calculus BC

Let's cut out the fluffy description and get right to the point.  You are looking for a convenient, self-paced way to learn some quality mathematics.  You want a teacher who speaks, writes and explains clearly and without rambling in his videos.  You want lots of practice problems with answers you can look up.  You want to pay as little as possible for all this!

Here is what all of my courses offer:

• Clear, concise videos that get to the point quickly with just enough "back story" to provide context, just enough "application" to spice it up, and carefully chosen examples to model the process.

• PDF versions of each lesson if you get sick of my voice or want to look back without hunting through the video.  All lessons were recorded with PowerPoint slides, so you don't have to decipher my handwriting.

• A printable guided notes handout allowing you to fill-in-the-blanks while you watch each lesson.  Very helpful if you learn better by writing things down but want to avoid needless rewriting or a disorganized jumble!

• 2-4 practice problem sets per lesson, including printable handouts AND both PDF and video solutions of every single practice problem -- an extra 20-30 hours of video content!

• End-of-chapter practice quizzes (with handouts and PDF/video solutions) to review multiple concepts at once.

Here is what this course covers:

1. Limits and Continuity

   1. Intuitive Limits - Finite

   2. Intuitive Limits - Infinite

   3. Algebraic Limits - Polynomials and Rational Functions

   4. Algebraic Limits - Piecewise Functions

   5. Limits at Infinity

   6. Continuity

   7. Intermediate Value Theorem (IVT)

   8. Rate of Change

2. Derivatives

   1. The Power Rule

   2. Differentiability

   3. Graphing Derivatives

   4. Product and Quotient Rules

   5. Derivatives of Trigonometric Functions

   6. Chain Rule

   7. Implicit Differentiation

   8. Tangent Lines and Higher Order Derivatives

   9. Derivatives of Exponential Functions

   10. Derivatives of Logarithmic Functions

   11. Derivatives of Inverse Trigonometric Functions

3. Applications of Derivatives

   1. Extreme Values of Functions

   2. Increasing and Decreasing Intervals

   3. Local Extrema

   4. Concavity

   5. Points of Inflection

   6. Graphical Analysis

   7. Mean Value Theorem

   8. Linearization

   9. Derivatives of Inverses

   10. L'Hospital's Rule

   11. Motion

   12. Related Rates

4. Integrals

   1. Antiderivatives

   2. Definite Integrals - Geometric Approach

   3. Rectangular Approximation Method (RAM)

   4. Trapezoidal Rule

   5. Properties of Definite Integrals

   6. FTC - Derivative of an Integral

   7. FTC - Graphical Analysis

   8. FTC - Integral Evaluation (Polynomials)

   9. FTC - Integral Evaluation (Non-Polynomials and Function Values)

   10. Average Value

   11. Integration by Substitution

   12. Integration by Partial Fractions (BC only)

   13. Integration by Parts (BC only)

   14. Improper Integrals (BC only)

5. Applications of Integrals

   1. Differential Equations in One Variable

   2. Separable Differential Equations

   3. Slope Fields

   4. Exponential Growth and Decay

   5. Motion and Position

   6. Total Distance

   7. Accumulation Problems

   8. Rate In Rate Out

   9. Area Between Curves

   10. Volume - Solids of Revolution

   11. Volume - Cross-Sections

   12. Integration With Respect to the Y-Axis

   13. Euler's Method (BC only)

   14. Logistic Growth (BC only)

6. Sequences and Series (BC only)

   1. Derivatives and Integrals of Series

   2. Maclaurin Series

   3. Transforming Maclaurin Series

   4. Taylor Series

   5. Alternating Series Error Bound

   6. Lagrange Error Bound

   7. Geometric, Nth Term and Ratio Tests

   8. Interval of Convergence

   9. Integral and P-Series Tests

   10. Alternating Series Test

   11. Direct Comparison Test

   12. Limit Comparison Test

7. Parametric, Vector and Polar Functions (BC only)

   1. Parametric Functions

   2. Arc Length

   3. Vectors

   4. Polar Functions - Slope and Basic Area

   5. Polar Functions - Advanced Area

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