Syllabus

• Week 1, August 29th — September 2nd
  Section 1.1 Four ways to represent a function, p. 12
  Section 1.2 Mathematical models: A catalog of essential functions, p. 25
  Appendix C Trigonometry, p. A17
  

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• Week 2, September 6th — September 9th
  (Note: no classes on Sept 5 - Labor day)
  Section 1.5 Exponential functions, p. 52
  Section 1.6 Inverse functions and logarithms, p. 63
  

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• Week 3, September 12th — September 16th
  Section 2.1 The tangent and velocity problems, p. 90
  Section 2.2 The limit of a function, p. 95
  Section 2.3 Calculating limits using the limit laws, p. 104
  

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• Week 5, September 19th — September 23th
  Section 2.4 Continuity, p. 113
  Section 2.5 Limits involving infinity, p. 124
  Section 2.6 Derivatives and rates of change, p. 135
  

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• Week 5, September 26th — Sept 30
  (Note: no classes on Sept 29-30 - Rosh Hashanah)
  Section 2.7 The derivative as a function, p. 146
  Section 2.8 What does f' say about f?, p. 158
  

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• Week 6, October 3th — October 7th
  Section 3.1 Derivatives of polynomials and exponential functions, p. 183
  Section 3.2 The product and quotient rules, p. 193
  

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• Week 7, October 10th — October 14th
  Section 3.3 Derivatives of trigonometric functions, p. 213
  Section 3.4 The chain rule, p. 220
  

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• Week 8, October 17th — October 21nd
  Section 3.5 Implicit differentiation, p. 232
  Section 3.6 Inverse trigonometric functions and their derivatives, p. 216
  Section 3.7 Derivatives of logarithmic functions, p. 240
  

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• Week 9, October 24th — October 28th
  Section 3.9 Linear approximations and differentials, p. 240
  Section 4.1 Related rates, p. 256
  

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• Week 10, Oct 31st — November 4th
  Section 4.2 Maximum and minimum values, p. 262
  Section 4.3 Derivatives and the shapes of curves, p. 271
  

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• Week 11, November 7th — November 11th
  Section 4.5 Indeterminate forms and l'Hospital's rule, p. 290
  Section 4.6 Optimization problems, p. 299
  

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• Week 12, November 14th — November 18th
  Section 4.7 Newton's method, p. 312
  Section 4.8 Antiderivatives, p. 317
  

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• Week 13, November 21nd — November 25th
  (Note: no classes on Nov 23-27 - Thanksgiving break)
  Section 5.1 Areas and distances, p. 332
  Section 5.2 The definite integral, p. 343
  
  

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• Week 14, November 28th — December 2nd
  Section 5.3 Evaluating definite integrals, p. 356
  Section 5.4 The fundamental theorem of calculus, p. 367
  Section 5.5 The substitution rule, p. 375
  

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• Week 15, December 5th — December 9th
  Section 5.5 The substitution rule (continued), p. 375
  Final review
  

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