Understanding calculus: problems, solutions, and tips - season 1
(2008)

Nonfiction

eVideo

Provider: hoopla

Details

PUBLISHED
[United States] : The Great Courses, 2008
Made available through hoopla
DESCRIPTION

1 online resource (36 video files (approximately 1111 min.)) : sd., col

ISBN/ISSN
MWT14601719, 14601719
LANGUAGE
English
NOTES

Directed by The Great Courses

Bruce H. Edwards

These 36 episodes cover all the major topics of a full-year calculus course in high school at the College Board Advanced Placement AB level or a first-semester course in college. Award-winning Professor Bruce H. Edwards guides you through hundreds of examples and problems, each of which is designed to explain and reinforce the major concepts of this vital mathematical field

Rated TVPG

Mode of access: World Wide Web

CONTENTS

Episode 1

A Preview of Calculus

Episode 2

Review - Graphs, Models, and Functions

Episode 3

Review - Functions and Trigonometry

Episode 4

Finding Limits

Episode 5

An Introduction to Continuity

Episode 6

Infinite Limits and Limits at Infinity

Episode 7

The Derivative and the Tangent Line Problem

Episode 8

Basic Differentiation Rules

Episode 9

Product and Quotient Rules

Episode 10

The Chain Rule

Episode 11

Implicit Differentiation and Related Rates

Episode 12

Extrema on an Interval

Episode 13

Increasing and Decreasing Functions

Episode 14

Concavity and Points of Inflection

Episode 15

Curve Sketching and Linear Approximations

Episode 16

Applications - Optimization Problems, Part 1

Episode 17

Applications - Optimization Problems, Part 2

Episode 18

Antiderivatives and Basic Integration Rules

Episode 19

The Area Problem and the Definite Integral

Episode 20

The Fundamental Theorem of Calculus, Part 1

Episode 21

The Fundamental Theorem of Calculus, Part 2

Episode 22

Integration by Substitution

Episode 23

Numerical Integration

Episode 24

Natural Logarithmic Function - Differentiation

Episode 25

Natural Logarithmic Function - Integration

Episode 26

Exponential Function

Episode 27

Bases other than "e"

Episode 28

Inverse Trigonometric Functions

Episode 29

Area of a Region between 2 Curves

Episode 30

Volume - The Disk Method

Episode 31

Volume - The Shell Method

Episode 32

Applications - Arc Length and Surface Area

Episode 33

Basic Integration Rules

Episode 34

Other Techniques of Integration

Episode 35

Differential Equations and Slope Fields

Episode 36

Applications of Differential Equations

Additional Credits