MATH 132: Applied Calculus II

Course Catalog

Deborah Hughes-Hallett, et al. Applied Calculus, 7th Edition (packaged with WileyPlus). ISBN: 978-1-119-799085.

Chapter 5: Accumulated Change: The Definite Integral

5.1 Distance and Accumulated Change

5.2 The Definite Integral

5.3 The Definite Integral as Area

5.4 Interpretations of the Definite Integral

5.5 Total Change and the Fundamental Theorem of Calculus

5.6 Average Value

 

Chapter 6: Antiderivatives and Applications

6.1 Analyzing Antiderivatives Graphically and Numerically

6.2 Antiderivatives and the Indefinite Integral

6.3 Using the Fundamental Theorem of Calculus to Find Definite Integrals

6.6 Integration by Substitution

6.7 Integration by Parts

 

Chapter 7: Probability

7.1 Density Functions

7.2 Cumulative Distribution Functions and Probability

7.3 The Median and the Mean

 

Chapter 8: Functions of Several Variables

8.1 Understanding Functions of Two Variables

8.2 Contour Diagrams

8.3 Partial Derivatives

8.4 Computing Partial Derivatives Algebraically

8.5 Critical Points and Optimization

8.6 Constrained Optimization

 

Chapter 9: Mathematical Modeling Using Differential Equations

9.1 Mathematical Modeling: Setting Up a Differential Equation

9.2 Solutions of Differential Equations

9.3 Slope Fields

9.4 Exponential Growth and Decay

9.5 Applications and Modeling

9.6 Modeling the Interaction of Two Populations

9.7 Modeling the Spread of a Disease