| Differentiation |
| 0 |
Recitation: Graphing |
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| 1 |
Derivatives, Slope, Velocity, Rate of Change |
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| 2 |
Limits, Continuity
Trigonometric Limits
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| 3 |
Derivatives of Products, Quotients, Sine, Cosine |
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| 4 |
Chain Rule
Higher Derivatives
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| 5 |
Implicit Differentiation, Inverses |
Problem set 1 due |
| 6 |
Exponential and Log
Logarithmic Differentiation; Hyperbolic Functions
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| 7 |
Continuation and Review |
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| 8 |
Exam 1 Covering Ses #1-7 |
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| Applications of Differentiation |
| 9 |
Linear and Quadratic Approximations |
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| 10 |
Curve Sketching |
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| 11 |
Max-min Problems |
Problem set 2 due |
| 12 |
Related Rates |
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| 13 |
Newton's Method and Other Applications |
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| 14 |
Mean Value Theorem
Inequalities
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Problem set 3 due |
| 15 |
Differentials, Antiderivatives |
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| 16 |
Differential Equations, Separation of Variables |
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| 17 |
Exam 2 Covering Ses #8-16 |
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| Integration |
| 18 |
Definite Integrals |
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| 19 |
First Fundamental Theorem of Calculus |
Problem set 4 due |
| 20 |
Second Fundamental Theorem
Definition of Log
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| 21 |
Areas Between Curves, Volumes by Slicing |
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| 22 |
Volumes by Disks, Shells |
Problem set 5 due |
| 23 |
Work, Average Value, Probability |
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| 24 |
Numerical Integration |
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| Techniques of Integration |
| 25 |
Trigonometric Integrals |
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| 26 |
Exam 3 Covering Ses #18-24 |
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| 27 |
Integration by Inverse Substitution; Completing the Square |
Problem set 6 due |
| 28 |
Partial Fractions |
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| 29 |
Integration by Parts; Reduction Formulas |
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| 30 |
Parametric Equations, Arclength, Surface Area |
Problem set 7 due |
| 31 |
Polar Coordinates; Area in Polar Coordinates |
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| 32 |
Continuation and Review |
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| 33 |
Exam 4 Covering Ses #25-32 |
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| 34 |
Indeterminate Forms; L'Hospital's Rule |
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| 35 |
Improper Integrals |
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| 36 |
Infinite Series
Convergence Tests
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| 37 |
Taylor Series |
Problem set 8 due |
| 38 |
Final Review |
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Final Exam |
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