Understanding Calculus II: Problems, Solutions, and Tips

Understanding Calculus II: Problems, Solutions, and Tips « Series from 2013

Series from 2013

Broadcast info
Genres: Documentary, Special Interest

This series introduces you to exciting new techniques and applications of one of the most powerful mathematical tools ever invented. Professor Bruce H.

Edwards enriches these 36 episodes with crystal-clear explanations; frequent study tips; pitfalls to avoid; and, best of all, hundreds of examples and practice problems specifically designed to explain and reinforce key concepts.

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Basic Functions of Calculus and Limits

Differentiation Warm-up

Integration Warm-up

Differential Equations - Growth and Decay

Applications of Differential Equations

Linear Differential Equations

Areas and Volumes

Arc Length, Surface Area, and Work

Moments, Centers of Mass, and Centroids

Integration by Parts

Trigonometric Integrals

Integration by Trigonometric Substitution

Integration by Partial Fractions

Indeterminate Forms and L'Hôpital's Rule

Improper Integrals

Sequences and Limits

Infinite Series - Geometric Series

Series, Divergence, and the Cantor Set

Integral Test - Harmonic Series, p-Series

The Comparison Tests

Alternating Series

The Ratio and Root Tests

Taylor Polynomials and Approximations

Power Series and Intervals of Convergence

Representation of Functions by Power Series