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TQS 124 Calculus with Analytic Geometry I  Autumn 2008

Course Documents

I will post the worksheets needed for class here by Friday of the week before. Please print them off and bring them with you.

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IAS TQS 124, Autumn 2008
Calculus with Analytic Geometry I

Week 10; December 1-5 and Review

Page 51-58

Antiderivatives and Initial Value Problems
Subdivide-Approximate-Acculumate-Refine
Riemann Sums (an abbreviated introduction)
Definite Integral
Fundamental Theorem of Calculus

Final Thoughts


Week 5-7: October 30-November 17

Pages 36-50

Applications of Derivative to Other Disciplines
Exponential Growth and Decay
Related Rates
Linearization (A.K.A. Linear Approximation)
The Extremes (Max and Min)
IVP, Rolle's, and MVP
Derivative Tests
Indeterminant Forms and l'Hopital's Rule
Curve Sketching
Applied Optimization


Week 4-5: October 13-24

Pages 26-35

The Derivative: Analytics Viewpoint
The Chain Rule-Derivative of function compositions
Implicit Differentiation
Derivatives of Inverse Functions


Week 3-4: October 8-19

Page 16-25

Speed, Tangent Lines, and Successive Approximations
Limits---Intuitively Thinking
Limits Algebraically
Continuity
Asymptotes
Tangents and Derivatives at a Point
Derivatives as a Function


Weeks 1 & 2: September 24-October 3.

Because we have two classes on slightly different schedule (MWF vs. TTh) I will try and post the worksheets well in advance. Print the whole thing out and bring everything with you to class. I recommend a three ring binder that travels back and forth with you everywhere.

Page 1-15

Functions Form the Foundation
Essential Functions
Creating New Functions from Old
Brief Trig Encounter
Exponential Functions
Inverse Functions and Logarithms
Speed, Tangent Lines, and Successive Approximations
Limits

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