MATH 132: Applied Calculus II
MATH 131 with a grade of C- or higher
A continuation of MATH 131. Topics include: the definition and interpretations of the integral, basic techniques for computing anti-derivatives, applications to economics, probability and statistics, an introduction to multi-variable calculus and optimization for functions of several variables, and mathematical modeling using differential equations. This course is not a substitute for MATH 162.
Deborah Hughes-Hallett, et al. Applied & Single Variable Calculus for Loyola University Chicago with WebAssign Custom (WebAssign eBook).
Review of Chapters 5 and 6
Chapter 7: Integration
7.1 Integration by Substitution
7.2 Integration by Parts
7.6 Improper Integrals
Chapter 8: Using the Definite Integral
8.6 Optional: Applications to Economics
8.7 Distribution Functions
8.8 Probability, Mean, and Median
Chapter 9: Functions of Several Variables
9.1 Understanding Functions of Two Variables
9.2 Contour Diagrams
9.3 Partial Derivatives
9.4 Computing Partial Derivatives Algebraically
9.5 Critical Points and Optimization
9.6 Constrained Optimization
Chapter 11: Differential Equations
11.1 What is a Differential Equation?
11.2 Slope Fields
11.3 Euler’s Method
11.4 Separation of Variables
11.5 Growth and Decay
11.6 Applications and Modeling
11.7 The Logistic Model
11.8 Systems of Differential Equations
11.9 Analyzing the Phase Plane
See Course Page for additional resources.