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| Calculus I
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| FULL SET is 12 tapes (or 11 DVDs), hardbound text, complete solutions guide, and technical support.
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Reference Text: Calculus of a Single Variable, 7th Edition by Larson, Hostetler and Edwards (Houghton Mifflin, 2002)
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Disc 1 - 1 hour 33 min.
Chapter P- Preparation for Calculus
P.1 Graphs and Models - 45 min.
P.2 Linear Models and Rates of Change - 27 min.
P.3 Functions and Their Graphs - 48 min.
P.4 Fitting Models to Data - 21 min.
Disc 2 - 1 hour 46 min.
Chapter 1- Limits and Their Properties
1.1 A Preview of Calculus - 11 min.
1.2 Finding Limits Graphically and Numerically - 26 min.
1.3 Evaluating Limits Analytically - 29 min.
1.4 Continuity and One-Sided Limits - 22 min.
1.5 Infinite Limits - 18 min.
Disc 3 - 2 hours 6 min.
Chapter 2- Differentiation
2.1 The Derivative and the Tangent Line Problem - 68 min.
2.2 Differentiation Rules and Rates of Change - 33 min.
2.3 The Product and Quotient Rules and Higher Order Derivatives - 25 min.
Disc 4 - 2 hours 17 min.
2.4 The Chain Rule - 19 min.
2.5 Implicit Differentiation - 43 min.
2.6 Related Rates - 34 min.
Chapter 3-Applications of Differentiation
3.1 Extrema on an Interval - 41 min.
Disc 5 - 1 hour 49 min.
3.2 Rolle's Theorem & the Mean Value Theorem - 16 min.
3.3 Increasing and Decreasing Functions and the First Derivative Test - 19 min.
3.4 Concavity and the Second Derivative Test - 25 min.
3.5 Limits at Infinity - 24 min.
3.6 A Summary of Curve Sketching - 44 min.
Disc 6 - 1 hour 55 min.
3.7 Optimization Problems - 37 min.
3.8 Newton's Method - 27 min.
3.9 Differential - 51 min.
Disc 7 - 2 hours 8 min.
Chapter 4- Integration
4.1 Antiderivatives and Indefinite Integration - 41 min.
4.2 Area - 50 min.
4.3 Rieman Sums and Definite Integrals - 37 min.
Disc 8 - 2 hours 5 min.
4.4 The Fundamental Theorem of Calculus - 50 min.
4.5 Integration by Substitution - 47 min.
4.6 Numerical Integration - 28 min.
Disc 9 - 2 hours 4 min.
Chapter 5- Logarithmic, Exponential & Other Transcendental Functions
5.1 The Natural Logarithmic Function and Differentiation - 29 min.
5.2 The Natural Logarithmic Function and Integration - 34 min.
5.3 Inverse Functions - 22 min.
5.4 Exponential Functions: Differentiation and Integration - 39 min.
Disc 10 - 2 hours 15 min.
5.5 Bases Other than e and Applications - 57 min.
5.6 Differential Equations: Growth and Decay - 40 min.
5.7 Differential Equations: Separation of Variables - 38 min.
Disc 11 - 1 hour 38 min.
5.8 Inverse Trigonometric Functions and Differentiation - 42 min.
5.9 Inverse Trigonometric Functions and Integration - 25 min.
5.10 Hyberbolic Functions - 31 min.
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Chapter P
Preparation for Calculus
Tape Volumes 1 2 hours, 21 minutes
Graphs and Models
Linear Models and Rates of Change
Functions and Their Graphs
Fitting Models to Data
Chapter 1
Limits and Their Properties
Tape Volume 2 1 hour, 46 minutes
A Preview of Calculus
Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits
Chapter 2
Differentiation
Tape Volume 3 2 hours, 25 minutes
The Derivative and the Tangent Line Problem
Differentiation Rules and Rates of Change
The Product and Quotient Rules and Higher Order Derivatives
The Chain Rule
Tape Volume 4 1 hour, 17 minutes
Implicit Differentiation
Related Rates
Chapter 3
Applications of Differentiation
Tape Volume 5 2 hours, 5 minutes
Extrema on an Interval
Rolle's Theorem & the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative Test
Concavity and the Second Derivative Test
Limits at Infinity
Tape Volume 6 1 hours, 48 minutes
A Summary of Curve Sketching
Optimization Problems
Newton's Method
Tape Volume 7 1 hour, 21 minutes
Differentials
Business and Economics Applications (this section omitted from the 7th edition text)
Chapter 4
Integration
Tape Volume 8 2 hours, 7 minutes
Antiderivatives and Indefinite Integration
Area
Rieman Sums and Definite Integrals
Tape Volume 9 2 hours, 5 minutes
The Fundamental Theorem of Calculus
Integration by Substitution
Numerical Integration
Chapter 5
Logarithmic, Exponential, and Other Transcendental Functions
Tape Volume 10 2 hours, 4 minutes
The Natural Logarithmic Function and Differentiation
The Natural Logarithmic Function and Integration
Inverse Functions
Exponential Functions: Differentiation and Integration
Tape Volume 11 2 hours, 15 minutes
Bases Other than e and Applications
Differential Equations: Growth and Decay
Differential Equations: Separation of Variables
Tape Volume 12 1 hours, 38 minutes
Inverse Trigonometric Functions and Differentiation
Inverse Trigonometric Functions and Integration
Hyberbolic Functions
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