Calculus Video Tapes – Larson, Hostetler, Edward

Available in the Library

 

Sixth Edition:

Tape 1

            Algebra and Trigonometry review – 45 minutes

            Limits using a calculator – 15 minutes

            Delta-Epsilon proofs – 15 minutes

Tangent line at a given point, rate of change, difference quotient, derivatives using definition of a derivative – 30 minutes

Chain rule – 15 minutes

Tape 2

First derivative test with an application, increasing and decreasing properties, relative maximum and relative minimum – 30 minutes

Second derivative test, concavity and business application – 25 minutes

Fundamental theorem of Calculus and Riemann sum – 10 minutes

Definition of a Logarithm (review), the derivative of a Logarithm and Logarithmic differentiation – 30 minutes

Definition of infinite series – 25 minutes

 

Seventh and Eighth Edition

Tape 1

            Chapter P: Preparation for Calculus

            P.1 Graphs and Models – 45 minutes

            P.2 Linear Models and Rates of Change – 27 minutes

            P.3 Functions and Their Graphs – 48 minutes

            P.4 Fitting Models to Data – 21 minutes

Tape 2

            Chapter 1: Limits and Their Properties

            1.1 A preview of Calculus – 11 minutes

            1.2 Finding Limits Graphically and Numerically – 26 minutes

            1.3 Evaluation Limits Analytically – 29 minutes

            1.4 Continuity and One-Sided Limits – 22 minutes

            1.5 Infinite Limits – 18 minutes

Tape 3

            Chapter 2: Differentiation, Part 1

            2.1 The Derivative and the Tangent Line Problem – 68 minutes

            2.2 Basic Differentiation Rules and Rates of Change – 33 minutes

Tape 4

            Chapter 2: Differentiation, Part 2

            2.3 The Product Quotient – 36 minutes

            2.4 The Chain Rule – 19 minutes

            2.5 The Derivative and the Tangent Line Problem – 42 minutes

            2.6 Related Rates – 34 minutes

Tape 5

            Chapter 3: Applications of Differentiation, Part 1

            3.1 Extreme on an Interval – 41 minutes

            3.2 Rolle’s Theorem and the Mean Value Theorem – 16 minutes

            3.3 Increasing and Decreasing Functions and the First Derivative Test – 19 minutes

   

Tape 6

            Chapter 3: Applications of Differentiation, Part 2

            3.4 Concavity and the Second Derivative Test – 25 minutes

            3.5 Limits at infinity – 24 minutes

            3.6 A summary of Curve Sketching – 43 minutes

Tape 7

            Chapter 3: Application of Differentiation, Part 3

            3.7 Optimization Problems – 37 minutes

            3.8 Newton’s Method – 26 minutes

            3.9 Differentials – 51 minutes

Tape 8

            Chapter 4: Integration, Part 1

            4.1 Antiderivation and Indefinite Integration – 40 minutes

            4.2 Area – 50 minutes

            4.3 Riemann Sums and Definite Integrals – 37 minutes

Tape 9

            Chapter 4: Integration, Part 2

            4.4 The Fundamental Theorem of Calculus – 50 minutes

            4.5 Integration by Substitution – 47 minutes

            4.6 numerical Integration 2 – 8 minutes

Tape 10

            Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions, Part 1

            5.1 The Natural Logarithmic Function: Differentiation – 29 minutes

            5.2 The Natural Logarithmic Function: Integration – 34 minutes

            5.3 Inverse Functions – 21 minutes

            5.4 Exponential Functions: Differentiation & Integration – 39 minutes

Tape 11

            Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions, Part 2

            5.5 Bases other than e and Applications – 57 minutes

            5.6 Differential Equations: Growth and Decay – 40 minutes

            5.7 Differential Equations: Separation of Variables – 38 minutes

Tape 12

            Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions, Part 3

            5.8 Inverse Trigonometric Functions: Differentiation – 42 minutes

            5.9 Inverse Trigonometric Functions: Integration – 25 minutes

            5.10 Hyperbolic Functions – 31 minutes

Tape 13

             Calculus Topics

            The Disc and Washer Methods – 24 minutes

            Integration by Parts – 17 minutes

            Trigonometric Substitution – 31 minutes

            Partial Fractions – 33 minutes

            L’Hospital’s Rule – 23 minutes