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Calculus 1

Math 207 GH - FAll 2014

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Coordinate Systems
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Worksheets, Lecture Notes

Guide to review (Class 1)
What is a Function? (Class 1)
Basic Functions (Class 1)
Factoring by completing the square   Parts 1, 2, 3   Part 4 (Class 1)
Review of Factoring 1 (GCF, difference of squares, completing the square) (Class 1)

Complete analysis of a function - Part 1 (Class 2)
Logarithms -   Part 1 and Part 2
Review: Parabolas - Part 1, Part 2 (Class 2)

Circles (Class 3)
Limits at Infinity - Part 1 (Class 3)

Limits at Infinity - Part 2 (Class 4)

Average Velocity (Class 5)
Symmetries of the Unit Circle (Class 5)
Trig Equations 1 (Class 5)
Trig Equations 2 (Class 5)
Compound Angle Identities (Class 5)
Half-Angle Formulas (Class 5)

Quadratic Inequalities (Class 6)
Properties of Limits at Infinity (Class 6)
Two-sided limits (Class 6)
Properties of Two-Sided Limits (Class 6)

Two Important Trigonometric Limits (Class 7)
Inverse Functions (Class 7)

Differentiation 1 (Proofs) (Class 9)
Differentiating by Finding Limits (Class 9)

Differentiation 1 (Practice) (Class 10)
Tangent Lines (Class 10)
Graphing Polynomials 1 (Class 10)

Differentiating sinx and cosx (proofs) (Class 11)

Relative Extrema (Class 12)
Complete Analysis of a Function - Part 2 (Class 12)

Optimization 2 (Class 13)

Proving the Product Rule (Class 14)
Differentiation (practice) (Class 14)
Antiderivatives (Class 14)

Limits involving e (Class 17)
Differentiating Logarithmic Functions (Class 17)
Proving the quotient rule (Class 17)
Differentiation 3 (Class 17)
Axioms of Real Numbers (Class 17)
Intermediate Value Theorem (Class 17)

The Mean Value Theorem (Class 18)

Differentiation 4 (Practice) (Class 19)
Differentiation 5 (Practice) (Class 19)

Concavity Behaviour (Class 20)
Complete Analysis of a Function (Class 20)
Optimization 3 (Class 20)
Computing Trigonometric Expressions (Class 20)
Inverse Trig Functions (Class 20)

Differentiating Trigonometric Functions (Class 21)
Differentiation 6 (Practice) (Class 21)
Implicit Differentiation (Class 21)

Related Rates (Class 22)
Antiderivatives after the chain rule (Class 22)
Graphing Polynomials (Class 22)

L'Hôpital's Rule (Class 25)
Induction (Class 25)
Summation (Class 25)

Riemann Sums (Class 26)
Riemann Sums (Practice) (Class 26)

Definite Integrals (practice) (Class 27)
Integrating by substitution (Class 27)

Properties of the Definite Integral (Class 28)
The Fundamental Theorem (Class 28)
Improper Integrals (Class 28)

Integrating by parts (Class 29)
Application of the Definite Integral - 1 (Class 29)





Review

Quiz 1 Review
Quiz 2 Review
Exam 1 Information
Exam 1 Review
Sample Exam 1
Quiz 3 Review
Quiz 4 Review
Quiz 5 Review
Exam 2 Information
Exam 2 Review
Quiz 6 Review
Quiz 7 Review
Quiz 8 Review
Exam 3 Information
Quiz 9 Review
Exam 4 Information
Exam 4 Review - 1
Exam 4 Review - 2