# Calculus

## Calculus Products

The *Calculus* Student Pack contains the Student Workbook with lesson-by-lesson worksheets and the *Calculus* Tests.

Online Classes for this level are provided by our partners

The *Calculus* Instruction Pack contains the instruction manual with lesson-by-lesson instructions and detailed solutions, and the DVD with lesson-by-lesson video instruction.

Online Classes for this level are provided by our partners

# Calculus

## Derivatives, integrals, calculus applications, differential equations, and more.

Major Concepts and Skills Include:

- Understanding limits and continuity
- Working with derivatives and derivative rules
- Using Implicit Differentiation
- Applying L’Hôpital’s Rule
- Working with definite and indefinite integrals
- Working with exponential and logarithmic functions and their derivatives

Additional Concepts and Skills:

- Applying the Chain Rule and the Mean Value Theorem
- Optimizing with calculus
- Understanding antiderivatives
- Working with integration formulas
- Solving differential equations
- Applying calculus to physics and economics

## Sample Lesson

## Explore Primer's Scope and Sequence

## Table of Contents:

- Terminology and Graphing
- Quadratic Equations
- Review of Conic Sections
- Review of Systems of Equations
- Functions
- Review of Trigonometry
- Review of Exponents and Logarithms
- Limits
- Continuity in Limits
- Definition of a Derivative
- Derivative Rules
- Chain Rule
- Derivatives of Trigonometric Functions
- Derivatives of ex and lnx
- Implicit Differentiation
- Graphing with the First Derivative
- Graphing with the Second Derivative
- Mean Value Theorem
- L’Hopital’s Rule
- Physics Applications
- Economics Applications
- Optimization Applications
- Related Rates
- Antiderivatives
- Integration Formulas
- Area Under a Curve
- Definite Integrals
- Area Between Two Curves
- Inverse Trigonometric Functions
- Integration using Tables
- Differential Equations
- Differential Equation Applications