WEEK TOPICS & READING 1/28-2/1 Administrivia. Precalculus review: functions, trigonometry, transformations of functions Reading: 1.1, 1.2, 1.3, Appendix C 2/4-2/8 Precalculus review: exponential functions and logarithms. Tangents and velocities. Limits Reading: 1.5, 1.6, 2.1, 2.2 2/11-2/15 Limits, cont'd Reading: 2.3 2/18-2/22 Continuity. Limits at infinity Reading: 2.4, 2.5 2/25-2/29 Rates of change. Derivative. Derivative as a function Reading: 2.6, 2.7, 2.8 3/3-3/7 What does f' say about f? Reading: 2.9 3/6   Midterm I 3/10-3/14 What does f' say about f? Derivatives of polynomials and exponential functions Reading: 2.9, 3.1 3/17-3/21 Spring Break 3/24-3/28 Product and quotient rules. Derivatives of trigonometric functions. Applications Reading: 3.2, 3.3, 3.4 3/31-4/4 Chain rule. Implicit differentiation. Derivatives of logarithmic functions Reading: 3.5, 3.6, 3.7 4/7-4/11 Linear approximation and differentials Reading: 3.8 4/10   Midterm II 4/14-4/18 Related rates. Maximumum and minimum values Reading: 4.1, 4.2 4/21-4/25 Derivatives and shapes of curves Reading: 4.3, 4.4 4/28-5/2 L'Hospital's rule. Optimization Reading: 4.5, 4.6 5/5-5/9 Newton's method. Final review Reading: 4.8 5/8 Final Exam: May 8, in-class