Topics discussed include:

• Limit Notation & Limit Values

• Algebraic Properties of Limits

• Determining Limits using Squeeze Theorem

• Determining Continuity

• Exploring Discontinuities

• Limits at Infinity & Infinite Limits

• Intermediate Value Theorem (IVT)

Topics discussed include:

• Derivative Definitions

• Differentiability

• Constant, Sum, Difference, Constant Multiple Rules

• Power, Product, Quotient Rules

• Trigonometric Derivatives

• Derivatives of eˣ and ln x

Topics discussed include:

• Chain Rule

• Implicit Differentiation

• Differentiation of Inverse Functions

• Inverse Trigonometric Derivatives

• Higher-Order Derivatives

Topics discussed include:

• Position, Velocity, Acceleration

• Contextual Derivatives

• Related Rates

• L'Hôpital's Rule

Topics discussed include:

• Mean Value Theorem

• Extreme Value Theorem

• Global vs. Local Extrema

• Critical Points

• First Derivative Test

• Second Derivative Test

• Candidates Test

• Concavity & Increasing/Decreasing with Derivatives

• Graph Sketching

• Optimization

• Implicit Relations

Topics discussed include:

• Exploring the Integral

• Riemann Sums

• The Fundamental Theorem of Calculus

• Accumulation Functions

• Properties of Definite and Indefinite Integrals

• Integration with Substitution

• Polynomial Long Division & Completing the Square with Integration

Topics discussed include:

• Modeling Situations

• Slope Fields

• General & Particular Solutions with Differential Equations

• Exponential Models with Differential Equations

Topics discussed include:

• Average Value

• Kinematics & Integration

• Accumulation Functions in Context

• Area Between Curves

• Disks & Washers

• Volumes of Cross-Sections (Triangles, Semicircles, Squares, Rectangles)

Topics discussed include: 

• AP Calculus AB Exam Structure

• Practice problems