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Course Resources
MATH 1830 - Calculus A

Resource List by Course Content

The resources listed on this page are meant only as general instruction materials. Students are expected to contact their instructors regarding the specific requirements for their classes.

Chapter 1 - Ingredients of Change: Functions and Models

1.1 Models and Functions

1.2 Linear Functions and Models

1.3 Exponential and Logarithmic Functions and Models

1.4 Logistic Functions and Models

1.5 Polynomial Functions and Models

Chapter 2 – Describing Change: Rates

2.1 Change, Percentage Change, Average Rates of Change

2.2 Instantaneous Rates of Change

2.3 Derivative Notation and Numerical Estimates

2.4 Algebraically Finding Slopes

Chapter 3 - Determining Change: Derivatives

3.1 Drawing Rate-of-Change Graphs

3.2 Simple Rate-of-Change Formulas

3.3 Exponential and Logarithmic Rate-of-Change Formulas

3.4 The Chain Rule

3.5 The Product Rule

Chapter 4 - Analyzing Change: Applications of Derivatives

4.1 Approximating Change

4.2 Relative and Absolute Extreme Points

4.3 Inflection Points

4.4 Interconnected Change: Related Rates

Chapter 5 - Accumulating Change: Limits of Sums and the Definite Integral

5.1 Results of Change and Area Approximations

5.2 Accumulation Functions

5.3 The Fundamental Theorem

5.4 The Definite Integral