# Title Top: Registration

Title Top:

Registration

Top Details:

Basic and On Demand are always open for registration.

Plus courses are created upon request.

Title Top:

Registration

Top Details:

Basic and On Demand are always open for registration.

Plus courses are created upon request.

Syllabus Title:

AP Calculus AB

Syllabus Description:

What do electrical engineers, economists, and business managers have in common? All use calculus to answer big questions on the job. In this course, you’ll explore the basics of calculus including functions, graphs, integrals, and more, all while gaining valuable problem solving skills. Prerequisites: Successful completion of Math through Algebra II and/or Pre-Calculus or equivalent.

Collection Semester:

New Semester Heading:

SEMESTER 1

New Unit Collection:

New Unit Heading:

Unit 1: Functions and Graphs

New Unit Content:

- Functions and Function Notation
- Absolute Value and Piecewise Defined Functions
- Inequalities
- Composition and Combination of Functions
- Exponential and Logarithmic Functions
- Transformation of Functions
- Trigonometric Functions
- Power, Polynomial, and Rational Functions
- Vectors and Vector-Valued Functions
- Polar Coordinates and Graphs
- Parametric Equations and Conic Sections

New Unit Heading:

Unit 2: Limits and Continuity

New Unit Content:

- Intuitive Definition of a Limit
- Algebraic Techniques for Finding the Limits
- One-Sided Limits
- Infinite Limits
- Limits at Infinity
- Limits of Special Trigonometric Functions
- Continuity

New Unit Heading:

Unit 3: Derivatives

New Unit Content:

- Definition of the Derivative
- Differentiation Rules
- The Chain Rule
- Derivatives of Exponential Functions
- Derivative of Logarithmic Functions
- Derivatives of Inverse Functions
- Differentiability and Continuity
- Implicit Differentiation
- Logarithmic Differentiation

New Unit Heading:

Unit 4: Application of the Derivative

New Unit Content:

- Tangent and Normal Lines
- Position, Velocity, and Acceleration
- Related Rates
- Relative Extrema and the First Derivative Test
- Concavity and the Second Derivative Test
- Absolute Extrema and Optimization
- Rolle’s Rule and the Mean Value Theorem
- Differentials

New Semester Heading:

SEMESTER 2

New Unit Collection:

New Unit Heading:

Unit 5: Antiderivatives and Definite Integrals

New Unit Content:

- Differential Equations and Slope Fields
- Antiderivatives
- The Chain Rule for Antiderivatives
- Antiderivatives of Exponentials
- Antiderivatives of Logarithms
- Antiderivatives and Inverse Trigonometric Functions
- Fundamental Theorem of Calculus
- The Definite Integral
- Fundamental Theorem of Calculus

New Unit Heading:

Unit 6: Application of Antiderivatives and Definite Integrals

New Unit Content:

- Analyzing Curves with Antiderivatives
- Volume
- Separable Differential Equations
- Work
- Other Applications of Definite Integrals