MATH 131 APPLIED CALCULUS

Course Syllabus

A. Differentiation

1. Definition
2. Basic Rules
3. Chain Rule
4. Higher Order Derivatives
5. Implicit Derivatives

B. Applications of the Derivative

1. Linear Approximations
2. Rates
3. Related Rates
4. Maxima and Minima
5. Curve Sketching
6. Differentials

C. Integration

1. Antidifferentiation
2. The Definite Integral
3. The Fundamental Theorem of Calculus
4. Applications of the Definite Integral

D. Exponential and Logarithmic Functions

1. Derivatives
2. Integrals
3. Separable Differential Equations

E. Functions of Several Variables

1. Partial Derivatives
2. Maxima and Minima
3. LaGrange Multipliers

Prerequisites: Math 130 or four units of college preparatory high school mathematics including Algebra II and Geometry.

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