Mr. Sutton Presents... AP Calculus BC

Master AP Calculus BC with Clear, Concise Lessons & Extensive Practice

Looking for a convenient and self-paced way to learn AP Calculus BC? Mr. Sutton provides a clear and concise approach to mastering this challenging subject. Get straight to the point with easy-to-understand videos that avoid unnecessary jargon. This course is designed for students who want quality mathematics instruction without the fluff.

Here's what you'll get:

• Crystal-Clear Video Lessons: Benefit from concise videos with just the right amount of context, application, and carefully selected examples to guide you. No more deciphering messy handwriting – all lessons are recorded over PowerPoint slides.
• Downloadable Resources: Access PDF versions of each lesson for offline study or quick reference. Plus, a printable guided notes handout helps you actively engage with the material and avoid rewriting.
• Extensive Practice Problems: Each lesson includes 2-4 practice problem sets with printable handouts. Get even more support with video and PDF solutions for every practice problem – that's an extra 20-30 hours of video content!
• Comprehensive Review: Reinforce your understanding with end-of-chapter practice quizzes, complete with handouts and detailed solutions.

Course Content: A Comprehensive Review of AP Calculus BC Topics

This course covers all the essential topics for AP Calculus BC, including:

• Limits and Continuity:
  • Intuitive Limits (Finite & Infinite)
  • Algebraic Limits (Polynomials & Rational Functions)
  • Algebraic Limits (Piecewise Functions)
  • Limits at Infinity
  • Intermediate Value Theorem (IVT)
• Rate of Change & Derivatives:
  • The Power Rule
  • Differentiability
  • Graphing Derivatives
  • Product and Quotient Rules
  • Derivatives of Trigonometric Functions
  • Chain Rule
  • Implicit Differentiation
  • Tangent Lines and Higher Order Derivatives
  • Derivatives of Exponential Functions
  • Derivatives of Logarithmic Functions
  • Derivatives of Inverse Trigonometric Functions
• Applications of Derivatives:
  • Extreme Values of Functions
  • Increasing and Decreasing Intervals
  • Local Extrema
  • Concavity
  • Points of Inflection
  • Graphical Analysis
  • Mean Value Theorem
  • Linearization
  • Derivatives of Inverses
  • L'Hospital's Rule
• Integrals:
  • Antiderivatives
  • Definite Integrals - Geometric Approach
  • Rectangular Approximation Method (RAM)
  • Trapezoidal Rule
  • Properties of Definite Integrals
  • Fundamental Theorem of Calculus (FTC) – Derivative of an Integral
  • Fundamental Theorem of Calculus (FTC) – Graphical Analysis
  • Fundamental Theorem of Calculus (FTC) – Integral Evaluation (Polynomials)
  • Fundamental Theorem of Calculus (FTC) – Integral Evaluation (Non-Polynomials and Function Values)
• Applications of Integrals:
  • Differential Equations in One Variable
  • Separable Differential Equations
  • Slope Fields
  • Exponential Growth and Decay
  • Motion and Position
  • Total Distance
  • Accumulation Problems
  • Rate In/Rate Out
  • Area Between Curves
  • Volume - Solids of Revolution
  • Volume - Cross-Sections
  • Integration With Respect to the Y-Axis
• Advanced Integration Techniques:
  • Euler's Method
  • Logistic Growth
  • Sequences and Series
  • Derivatives and Integrals of Series
  • Maclaurin Series
  • Transforming Maclaurin Series
  • Taylor Series
  • Alternating Series Error Bound
  • Lagrange Error Bound
  • Geometric, Nth Term and Ratio Tests
  • Interval of Convergence
  • Integral and P-Series Tests
  • Alternating Series Test
  • Direct Comparison Test
  • Limit Comparison Test
• Parametric, Vector and Polar Functions:
  • Parametric Functions
  • Arc Length
  • Vectors
  • Polar Functions - Slope and Basic Area
  • Polar Functions - Advanced Area

This AP Calculus BC course provides a flexible and affordable way to succeed. Start learning today!