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.
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Contents
Class #1 -
Class #6
Class
#7-Class #12
Class #13-Class #19
Class #20-Class #28
Class #29-Class #34
Class #35-Class #41
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 are posted here without
video links, due to the large size of video files. Class notes including video links
are distributed on CD's.
#01:
Quadratic Model of Depth vs. Time for water flowing from a uniform cylinder.
#02: Rates of
change for the depth vs. time model.
#03: The
Rate of Change of a Quadratic Depth Function: Differentiation and Integration
#04: The
Concepts of Differentiation and Integration in the Context of Rate Functions
#05:
Growth of an Exponential Function; Trapezoidal Representation of Approximate Derivatives
and Integrals
#06:
Project #3; Derivative of y = a x^3; The Differential
#07: The
Differential; Tangent Line Approximation to Differential
#08:
Text problems; First Introduction to Differential Equations
#09:
Text problems; Introduction to Natural Logarithms and Composite Functions;
Numerical Solution of Differential Equations
#10:
Predictor-corrector methods; Sine and Cosine functions
#11:
Trigonometric Functions; Brief Intro. to Polynomials
#12:
Rational Functions, Continuity
#13:
The Derivative (Text 2.1, 2.2)
#14:
The Derivative Function
#15:
Interpretation of the Derivative; the Second Derivative
#16:
Second Derivative; Definite Integral
#17:
Using DERIVE for integrals and Riemann sums
#18:
The Fundamental Theorem of Calculus
#19:
Review Notes for Test
#20:
The Fundamental Theorem of Calculus; Derivatives of Polynomials
#21:
The Fundamental Theorem of Calculus; Derivatives of Polynomials
#22:
Product and Quotient Rules
#23:
The Chain Rule
#24:
The John Glenn Launch: A review of proportionality and integration;
Trigonometric Functions
#25:
Trigonometric Functions; Applications of Chain Rule; Inverse Functions
#26:
Inverse Functions; Chain Rule; Implicit Differentiation
#27:
Implicit Differentiation; Tangent Line Approximation; l'Hopital's Rules
#28:
Implicit Differentiation; Maxima, Minima and Inflection Points
#29:
Local Maxima and Minima; Families of Functions
#30:
Families of Functions; Optimization
#31:
Optimization
#32:
Optimization; Completeness Axiom; Limits
#33:
Limits, Differentiability, Review
#34:
Test Review (includes practice test)
#35:
Class Review (continued)
#36:
Marginality
#37:
Modeling
#38:
Modeling; Introduction to Hyperbolic Functions
#39:
Hyperbolic Functions, Differentiability
#41:
Review II
