Calculus II CD Contents
CD List
The table of contents for each CD is listed under the respective
link.
Applied Calculus II
Chapter 4 (use is optional for Mth 174; intended for students who did not cover the
calculus of exponential functions and logarithms in their first-semester course)
Applied
Calculus II Introduction to Integration (use is optional for Mth 174, intended for
students who did not have an introduction to integration in their first-semester course)
Calculus II CD #1, #'s
01-09
Calculus II Cd #2,
#'s 10-16
Calculus II CD #3, #'s
17-22
Calculus II CD #4, #'s
23-27
Calculus II CD #5, #'s
28-33
Calculus II CD #6, #'s
34-38
Calculus II, CD #7. #'s
39-40
Applied Calculus
II Chapter 7, Part a (through maxima and minima) (not required but may be of
interest for Mth 174 students)
Applied Calculus
II Chapter 7, Part b (not required but may be of interest for Mth 174 students)
Note: Applied Calculus II Chapter 4 CD on
Exponential and Logarithmic Functions and the Applied Calculus Introduction to Integration
are included for the purpose of review in the initial set of CDs for Mth 174
Exponential
Functions: Compound Interest
Example:
Population Growth
Example:
Radioactive Decay
Exponential
Equations
Graphs of
Exponential Functions
More Graphing
Analyzing
Compound Interest
The number e
Continuous
Compounding
The Derivative
of e^x
The Chain Rule
and the Derivative of an Exponential Function
General
Derivative of an Exponential Function
Example:
Maximizing Revenue
Example:
The Normal Curve
The Natural
Log Function as the Inverse of the Exponential Function
Example:
Doubling Time
Solving
Exponential Equations using Logarithms
The Derivative
of the Natural Log Function
The Derivative
of a More Complicated Log Function
Analyzing a
Graph
Example:
Rate of Memory Change
Derivative of
Log to a Different Base
Exponential
Growth
Example of
Exponential Growth
Example:
RAM loss
See Also Chapter 3; you may request the Chapter 3 CD.
This CD provides an introduction to the concept and practice of integration. It
also points out slight notational differences between your text and the notation used on
CD 1
The
Depth Function Model
Depth
from Rate, Initial Condition
General
Rate Function and Quantity Function Releationship
Change
in Depth from Rate Function and Initial Condition
Change
in Depth from Rate Function Only
Rules
of Integration
Family
of Depth Functions given Rate Function
Using
Rules of Integration
Another
Example
Marginal
Cost and Cost Function: Another Rate and Quantity Situation
Generalized
Integration Rule for Power Function and the Chain Rule
Generalized
Rule for Integral of Exponential Function
Generalized
Rule for Integral of Log Function
Integral
of Sine and Cosine Functions
Generalized
Integrals of Sine and Cosine Functions
Applying
Generalized Rules to Sine and Cosine Functions
Integration
by Parts (defer until you encounter the section on Integration by Parts)
Class #01:
Overview of Sections 6.1-6.3
Class #02:
Finding Antiderivatives Graphically and Analytically
Class #03:
Integrals and differential equations
Class #04:
2d Fundamental Theorem, integration by substitution
Class #05:
2d Fundamental Theorem
Class #06:
Uniform acceleration and Differential Equations
Class #07:
Integration by Substitution, Integration by Parts
Class #08:
Integration by Substitution, Integration by Parts
Class #09:
Integration by Parts
#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
#16:
Improper Integrals
#17:
Applications to Physics
#18:
Applications to Physics
#19:
Introduction to Probability Distributions
#21:
Probability Distribution Functions
#22:
Review of Geometry of Integration
#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
#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
Note: Applied Calculus CDs on
Multivariate Calculus are not part of Mth 174 but are listed here for reference
Demonstration:
3-dimensional
Distance
Formula in 3 dimensions
Equation of a
Sphere
Sphere in
Space
Traces in
Coordinate Planes
Traces in
Planes Parallel to Coordinate Planes
Equation of a
Plane
Equation of a
Plane part 2
Equations of
Various Special Planes
Conic
Sections: Review
Quadric
Surfaces
A Paraboloid
Representing
a Function of 2 variables by a Table
Level Curves
Function of 2
variables defined by an Integral with Variables as Limits
Difference
Quotient
Domain of a
Function of 2 variables
Another
Function, another domain
Happiness-at-a-meeting
Model and Partial Derivatives
Partial
Derivatives of the Happiness Function
Partial
Derivative of a Modified Happiness Function
Geometric
Interpretation of Partial Derivatives
Slope of a
Surface at a Point
Demonstration
of Partial Derivatives on a Christmas Tree Ornament
A Demand
Function of Two Variables
Marginal
Costs
Contour-line
Example of Maxima and Minima
Critical
Points of a Function of Two Variables
Maximum or
Minimum of a Paraboloid
Trickiness of
Saddle Points
Test for
Maxima and Minima
Applying the
Test for Maxima and Minima
Fitting a
Straight Line to Data
Finding
Squared Error
Minimizing
Squared Error
Using the
Least-Squares Line
Generalizing
the Process
Evaluating a
Double Integral
Describing a
Region in the Plane
Area of a
Region in the Plane
Reversing the
Order of Integration
Volume of a
Solid, I
Volume of a
Solid, II
Double
Integral of Population Density
Average Value
of a Function of Two Variables
Calculating
Average Values