Baruch College Department of Mathematics | Applied Calculus Videos

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Applied Calculus Videos

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Videos are available for download via iTunes U.

Brief Review

Chapter 3 – Applications of the Derivative

3.1: Extrema of a Function

3.2: First Derivative Test

3.3: Concavity and the Second Derivative

3.4: Geometric Optimization Problems

3.5: Business and Economic Optimization Problems

3.6: Linearization and Differentials

Chapter 4 – Exponential and Logarithmic Functions

4.1: Inverse Functions

4.2: Exponential Functions

4.3: The Number e

4.4: The Derivative of e

4.5: Logarithmic Functions

4.6: Properties of Logarithmic Functions

4.7: Applications of Exponential and Logarithmic Functions

Chapter 5 – Integration and its Applications

5.1: Antidifferentiation – Integration

5.2: Applications of Antidifferentiation

5.3: The Substitution Method

5.4: Approximation of Areas

5.5: Sigma Notation and Areas

5.6: The Definite Integral

5.7: Substitution and Properties of the Definite Integral

5.8: Applications of the Definite Integral

Chapter 6 – An Introduction to Functions of Several Variables

6.1: Functions of Several Variables

6.2: Partial Derivatives

6.3: Extrema

6.4: The Method of Lagrange Multipliers

6.5: Economic Applications

Annuities