Class Notes include links to Lecture Notes

CD Contents catalog the contents of the CD's, which include Lecture Notes with Video Hyperlinks, instructions for Experiments, plus Explanations of the Introductory Problem Sets, and other material.

Class Notes

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Contents

Class #1 - Class #7
Class #8-Class #15
Class #16-Class #22
Class #23-Class #30
Class #31-Class #40

Class Notes are posted here without video links, due to the large size of video files.  Class notes including video links are distributed on CD's.

Class Notes #01-#07:  Integration

#01:   Overview of Sections 6.1-6.3

#02:   Finding Antiderivatives Graphically and Analytically

#03:    Integrals and differential equations

#04:   2d Fundamental Theorem, integration by substitution 

#05:   2d Fundamental Theorem 

#06:   Uniform acceleration and Differential Equations

#07:   Integration by Substitution, Integration by Parts

Class Notes #08-#15:  Integration and Application of Integration

#08:   Integration by Substitution II, Integration by Parts

#09:   Integration by Parts

#10:   Integration Techniques

#11:   Integration by Tables

#12:   Integration by Approximation I:  Left, Right, Midpoint, Trapezoidal Rules

#13:  Integration by Approximation II:   Simpson's Rule; Errors of Various Techniques

#14:   Improper Integrals

#15:   Improper Integrals; Integrals and Geometry

Class Notes #16-#22:  Applications of Integration

#16:   Applications of Integration to Geometry

#17:   Applications to Physics

#18:   Applications to Physics

#19:    Introduction to Probability Distributions

#20:   More Applications to Physics; Taylor Series

#21:   Probability Distribution Functions

#22:   Review of Geometry of Integration

Class Notes #23-#30:  Sequences and Series

#23:   Taylor Polynomials

#24:   Taylor Series

#25:   Applying Taylor Polynomials

#26:   Geometric Series, Taylor Polynomials

#27:   Finding Taylor Polynomials

#28:   Convergence; Taylor Series Error

#29:   Convergence of Series

#30:   Sequences, Series, Error Terms

Class Notes #31-#40:  Differential Equations; Clarification of Sequences and Series

#31:   Differential Equations

#32:   Taylor Polynomial; Logistic Equation

#33:   Setting Up Differential Equations

#34:   Bottle Rocket

#35:   Applying Differential Equations

#36:   Convergence of Sequences; Damped Harmonic Motion

#37:   Some Applications of Differential Equations

#38:   Damped Harmonic Motion

#39:   A Fourier Series

#40:   Phase Plane Interpretation of Systems