Math 76O-25O
Calculus
(
Prof M
c
Farland
Website)
Document Index
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Course Syllabus
Introduction and Grade Policies
Future Grade Predictor
Course Handouts (roughly in order)
Solving systems of equations
Slopes of lines
An interactive page
Functional Notation; composite functions
The Limit Method
(Graphical Description)
:
An interactive page
The Limit Method
(an example)
The POWER RULE for derivatives (exercizes)
Summary of Rules for Derivatives
Which rule for derivatives is best?
:
An interactive self-test
Rules for exponents and logarithms
An algebra review
How to Optimize functions
:
An interactive page
Critical Values, Extrema, and Inflection points
An interactive self-test
Isolated Differentials
A warning not to use them
The POWER RULE for anti-derivatives (exercizes)
Integration by Substitution (Anti-Chain Rule)
Finding u
:
An interactive self-test
Integration by Parts (Anti-Product Rule)
Finding u and v'
:
An interactive self-test
Summary of Rules for Derivatives/Anti-derivatives
Improper Integrals
An interactive page
Differential Equations
:
How to solve them
With interactive self-test
Albert's Pattern
An interactive game
of pattern recognition (Chp 8)
Story Problems
Choose a problem
General strategies
Maximizing revenue without calculus
A box problem
Minimizing Area
Rates of change using Integrals
Game (Albert's Pattern)
Graph a function of two variables
:
f(x,y)
Sample tests
Choose a test
Your Future Grade Goals
Sample test 1 (quiz)
Sample test 2 (hour exam)
Sample test 3 (quiz)
Sample test 4 (hour exam)
Sample test 5 (quiz)
Sample test 6 (hour exam)
How will web quizzes affect grade?
Web quiz 1 (due Sun 14 Sept 2008)
Web quiz 2 (due Sun 28 Sept 2008)
Web quiz 3 (due Sun 12 Oct 2008)
Web quiz 4 (due Sun 26 Oct 2008)
Web quiz 5 (due Sun 9 Nov 2008)
Web quiz 6 (due Sun 7 Dec 2008)
Spring 2008 Final Exam (a short test)