| 1 |
Velocity and Rates of Change |
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| 2 |
Slope and Derivative
Limits and Continuity |
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| 3 |
Differentiation Formulas: Products and Quotients |
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| 4 |
Chain Rule and Implicit Differentiation |
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| 5 |
The Derivatives of Exponential and Logarithm Functions |
Problem set 1 due |
| 6 |
The Derivatives of Trigonometric Functions |
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| 7 |
Review for Exam 1 |
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Unit 1 Exam |
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| 8 |
Approximations
Mean Value Theorem |
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| 9 |
Curve Sketching |
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| 10 |
Max-Min Problems |
Problem set 2 due |
| 11 |
Related Rates |
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| 12 |
Inequalities, Zeros, and Newton's Method |
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Unit 2 Exam |
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| 13 |
Differentials and Indefinite Integrals |
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| 14 |
Definite Integrals |
Problem set 3 due |
| 15 |
The Fundamental Theorem of Calculus |
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| 16 |
Properties of Definite Integrals |
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| 17 |
Differential Equations and Separation of Variables |
Problem set 4 due |
| 18 |
Numerical Integration and Review of Unit 3 |
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Unit 3 exam |
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| 19 |
Areas between Curves, Volumes of Revolutions, and Slicing |
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| 20 |
Volumes by Shells and Average Values |
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| 21 |
Parametric Equations and Arc Length |
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| 22 |
Surface Area and Polar Coordinate Graphs |
Problem set 5 due |
| 23 |
Area and Arc Length in Polar Coordinates |
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Unit 4 Exam |
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| 24 |
Inverse Trigonometric Functions and Hyperbolic Functions |
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| 25 |
Integration by Inverse Substitution |
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| 26 |
Integration by Partial Fractions |
Problem set 6 due |
| 27 |
Integration by Parts |
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Unit 5 Exam |
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| 28 |
Indeterminate Forms and L'Hospital's Rule |
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| 29 |
Improper Integrals |
Problem set 7 due |
| 30 |
Infinite Series |
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| 31 |
Power Series |
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| 32-33 |
Final Review |
Problem set 8 due in Ses #32 |