MAT 140 Student Study Resources by Topic

1.1  A Preview of Calculus

1.2  Finding Limits Graphically and Numerically

1.3  Evaluating Limits Analytically

1.4  Continuity and One-sided Limits

1.5  Infinite Limits

2.1  The Derivative and the Tangent Line Problem

2.2  Basic Differentiation Rules and Rates of Change

2.3  The Product and Quotient Rules and Higher-Order Derivatives

2.4  The Chain Rule

2.5  Related Rates

3.1  Extrema on an Interval

3.2  Rolle's Theorem and the Mean Value Theorem

3.3  Increasing and Decreasing Functions and the First Derivative Test

3.4  Concavity and the Second Derivative Test

3.5  Limits at Infinity

3.6  A Summary of Curve Sketching

3.7  Optimization Problems

3.9  Differentials

4.1  Antiderivatives and Indefinite Integration

4.2  Area

4.3  Reimann Sums and Definite Integrals

4.4  The Fundamental Theorem of Calculus

4.5  Integration by Substitution

4.6  Numerical Integration

5.1  The Natural Logarithmic Function: Differentiation

5.2  The Natural Logarithmic Function: Integration

5.3  Inverse Functions

5.4  Exponential Functions: Differentiation and Integration

5.5  Bases other than e and Applications

6.1  Area of the Region Between Two Curves

6.2  Volume: The Disk Method

6.3  Volume: The Shell Method

6.4  Arc Length and Surfaces of Revolution

6.5  Work