AP Calculus Complete Course

Every Topic from AP Calculus course is covered here.

Professor Zhu clearly explains every topic covered in the AP Exam or the corresponding course.

Each Topic covers examples, theorems and detailed explanations of the concept taught.

The following topics are included:
I. Functions
-Definitions & Properties of Functions
-Graphing
-Inverse Functions
-Polynomial Functions
-Trigonometric Functions
-Inverse Trigonometric Functions
-Trigonometric Identities
-Exponential Functions
-Logarithmic Functions
-Rational Functions
-Conic Sections

II. Limits and Continuity
-Limit Definition & Properties
-Solving Limits with Algebra
-Rational Limit Rules
-One Sided Limits
-Special Trigonometric Limits
-Limits & Continuity
-Limits: Multiple Choice Practice

III. Derivatives
-Derivative Definition & Properties
-Basic Rules of Differentiation
-Power Rule
-Trigonometric Rules
-Product Rule
-Quotient Rule
-Chain Rule
-Higher Order Derivatives
-Derivatives of Exponential Functions
-Derivatives of Logarithmic Functions
-Derivatives of Inverse Trigonometric Functions
-Implicit Differentiation
-Multiple Choice Practice: Derivatives

IV. Applications of Derivatives
-Tangent & Normal Lines
-Position Velocity & Acceleration
-Related Rates
-Minimum & Maximum
-Concavity
-Rolles Theorem
-Mean Value Theorem
-Differentials
-Applications of Derivatives: Multiple Choice Practice
-Applications of Derivatives: Free Response Practice

V. Integrals
-Definition of Integrals
-Integrals of Power Rule
-Integrals Basic Rules of Integration
-Trigonometric Rules of Integrals
-Chain Rule
-Integrals of Exponential Functions
-Integrals of Natural Logarithmic Functions
-Integrals of Inverse Trigonometric Functions
-Integrals: Multiple Choice Practice

VI. Applications of Integrals
-Fundamental Theorem of Calculus
-Area Under A Curve
-Reimann Sums
-Trapezoid Rule
-Mean Value Theorem
-Second Fundamental Theorem of Calculus
-Area Between Curves
-Revolving Solids Washer Disk Methods
-Revolving Solids Cylindrical Shells Method
-Revolving Solids Known Cross Sections
-Differential Equations Eulers Method
-Differential Equations Slope Fields
-Application of Integrals: Multiple Choice Practice
-Application of Integrals: Free Response Practice

VII. Sample AP Test