Derivatives, Integrals, Calculus Applications, Differential Equations, and More
Calculus begins with a review of graphing, functions, limits, and basic trigonometry. The course introduces derivatives and integrals, along with various techniques and rules for using them. A wide variety of application problems involving science, business, and other topics are included. It is equivalent to a one-year high school calculus course.
Student Pack
For customers who already have the needed instructor materials.
The Student Pack includes:
- Student Workbook
- Tests booklet
Each student will need their own Student Workbook and Tests booklet.
Scope and Sequence:
- Lesson 01: Terminology and Graphing
- Lesson 02: Parabola, Circle, and Ellipse
- Lesson 03: Hyperbolas and Systems of Equations
- Lesson 04: Functions
- Lesson 05: Trigonometry
- Lesson 06: Exponential and Logarithmic Functions
- Lesson 07: Limits
- Lesson 08: Continuity in Limits
- Lesson 09: Definition of a Derivative
- Lesson 10: Derivative Rules
- Lesson 11: Chain Rule
- Lesson 12: Derivatives of Trigonometric Functions
- Lesson 13: Derivatives of ex and ln(x)
- Lesson 14: Implicit Differentiation
- Lesson 15: Graphing with the First Derivative
- Lesson 16: Graphing with the Second Derivative; Concavity and Inflection
- Lesson 17: Mean Value Theorem; L’Hopital’s Rule
- Lesson 18: Physics Applications
- Lesson 19: Economics Applications
- Lesson 20: Optimization Applications
- Lesson 21: Related Rates
- Lesson 22: Antiderivatives
- Lesson 23: Integration Formulas
- Lesson 24: Area Under a Curve
- Lesson 25: Definite Integrals
- Lesson 26: Area Between Two Curves
- Lesson 27: Inverse Trigonometric Functions
- Lesson 28: Integration Using Tables
- Lesson 29: Differential Equations
- Lesson 30: Differential Equation Applications
Level Overview
Sample Lesson
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