Calculus - Demme Learning Store

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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
Scope and Sequence

View a Calculus Sample Lesson

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

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