FUNCTIONS AND MODELS Preliminaries 

P.1 Graphing Calculators Versus Calculus - What is a "Complete" Graph? 

P.2 Functions 

P.3 Linear Models 

P.4 Introduction to Calculus

Printable hard copies of the online homework for each section are linked at the bottom of each lesson. Click on the lesson, then scroll to the bottom of the lesson page, and click on the homework link.

LIMITS AND DIFFERENTIATION 

1.1 A Dash of Limits

1.2 More on Limits

1.3 Continuity

1.4 The Intermediate Value Theorem

1.5 The Derivative

1.6 Rates of Change and Inc/Dec Functions

1.7 Simple Rules for Differentiation

1.8 Sums, Products and Quotients

1.9 The Chain Rule

1.10 Higher Order Derivatives

1.11 a) Exponential and Logarithmic Functions - 

1.11 b) Derivatives of Exponential and Logarithmic Functions

APPLICATIONS OF THE DERIVATIVE

2.1 Implicit Differentiation

2.2 Differentiating the Inverse 

2.3 Linear Approximations

2.4 Why We Use Elasticities

SINGLE-VARIABLE OPTIMIZATION 

3.1 Introduction 

3.2 Simple Test for Extreme Points 

3.3 Local Extreme Points 

3.4 The Extreme-Value Theorem

3.5 Business and Economic Models 

3.6 Inflection Points 

INTEGRATION 

4.1 Indefinite Integrals 

4.2 Riemann Sums

4.3 Areas and Definite Integrals

4.4 Properties of Definite Integrals

4.5 Integration by Substitution

4.6 Integration by Parts

4.7 Indefinite Integrals of Integration

4.8 Business and Economic Applications

Course Review Materials 

More practice with rates-of-change problems (midterm review) 

More practice with derivatives (midterm review) 

More practice with evaluating integrals (final exam review)