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Calculus 1

Math 207 GH - Fall 2015

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Are You Ready For Calculus?
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Worksheets, Lecture Notes

Guide to review (Class 1)
Factoring by completing the square - Parts 1, 2, 3 (Class 1)
Review of Factoring 1 (GCF, difference of squares, completing the square) (Class 1)
Radical Expressions (Class 1)
Completing the Square - Part 4 (Class 1)
Quadratic Formula (Class 1)

Average Velocity - Part 1 (Class 2)
Arithmetic, Geometric, and Harmonic Means (Class 2)
What is a Function? (Class 2)
Review: Parabolas - Part 1, Part 2 (Class 2)
Complete analysis of a function - Part 1 (Class 2)

Average Velocity - Part 2 (Class 3)
Circles (Class 3)
Quadratic Inequalities (Class 3)

Limits at Infinity - Part 1 (Class 4)
Properties of Limits (Class 4)
Basic Functions (Class 4)
Inverse Functions (Class 4)
Logarithms - Part 1, Part 2 (Class 4)

Limits at Infinity - Part 2 (Class 5)
Graphing Polynomials 1 (Class 5)

Two-sided limits (Class 6)
Properties of Limits (Class 6)

Instantaneous Velocity (Class 7)

Differentiating by Finding Limits (Class 9)
Two Important Trigonometric Limits (Class 9)

Differentiating sinx and cosx (proofs) (Class 10)
Trigonometric Limits (Class 10)
Continuity (Class 10)

Differentiation 1 (Proofs) (Class 11)
Differentiation 1 (Practice) (Class 11)
Inverse Trig Functions (Class 11)
Tangent Lines (Class 11)

Limits involving e (Class 12)

Complete Analysis of a Function - Part 2 (Class 13)
Relative Extrema (Class 13)
Graphing Polynomials - Part 2 (Class 13)

Optimization 2 (Class 14)

Proving the Product Rule (Class 15)
Differentiation 2A(practice) (Class 15)
Differentiating Logarithmic Functions (Class 15)
Differentiation 2B(practice) (Class 15)

The Real Number System (Class 17)
Intermediate Value Theorem (Class 17)
Extreme Value Theorems (Class 17-18)
Mean Value Theorem (Class 17-18)
Antiderivatives (Class 17)

Proving the quotient rule (Class 18)
Differentiation 3 (Class 18)

Differentiation 4 (Practice) (Class 19)
Optimization 3 (Class 19)

Differentiating Exponential Functions (Class 20)
Differentiation 5 (Practice) (Class 20)

Implicit Differentiation (more practice) (Class 21)
Related Rates (more practice) (Class 21)

Antiderivatives after the chain rule (Class 22)
Inverse Trigonometric Expressions (Class 22)
Differentiating Trigonometric Functions (Class 22)
Differentiation 6 (Practice) (Class 22)
Optimization 4(Class 22)

Concavity Behavior (Class 25)
Graphing the antiderivative (Practice) (Class 25)
Complete Analysis of a Function (Class 25)
L'Hôpital's Rule (Class 25)

Induction (Class 26)
Summation 1 (Class 26)
Summation 2 (Class 26)

Riemann Sums (Class 27)

The Fundamental Theorem of Calculus (Class 28)
Properties of Definite Integral (Class 28)
Definite Integrals (practice) (Class 28)

Integrating by substitution (Class 29)
Improper Integrals (Class 29)

Integrating by parts (Class 30)





Review

Exam 1 Information
Exam 1 Review
Exam 2 Information
Exam 2 Review
Exam 3 Review
Exam 4 Information
Exam 4 Review - 1
Exam 4 Review - 2