Topics planned to be covered by lecture number (homework assignments listed el sewhere). Individual lecturers might make some changes that apply ONLY to their sections.
1. 1.1, 1.2, 1.3, 1.4 Precalculus review; straight lines 2. 2.1, 2.2, 2.3 Functions: graphs, algebra, use in math models; limits 3. 2.4 Limits 4. 2.5 One-sided limits and continuity 5. 2.6 The Derivative 6. 3.1,3.2 Differentiation; product, quotient rules 7. 3.3 Chain Rule 8. 3.4,3.5 Marginal functions in economics; higher-order derivatives 9. 3.6 Implicit Differentiation, related rates 10. Catch up; additional problems such as on review sheets (special review sessions will also be held) 11. First in-class 80-minute Midterm Exam. Should include 3.6. 12. 3.7 Differentials 13. 4.1+handout Applications of 1st derivative; Rolle's Theorem, MVT 14. 4.2 Applications of 2nd derivative 15. 4.3 Curve sketching 16. 4.4,4.5 Optimization 1, begin Optimization 2 17. 4.5 Optimization 2 18. 5.1, 5.2, 5.3 Exp. and logs; compound interest 19. 5.4, 5.5 Differentiating exp and logs 20. 12.1, 12.2, 12.3 Trig functions and their derivatives 21. 5.6 Mathematical models with exp (including logistic equation) 22. Second in-class 80-minute exam 23. 6.1 Antiderivatives and the rules of integration 24. 6.2 Integration by substitution 25. 6.3 Area and the definite integral 26. 6.4,6.5 Fundamental Theorem of Calculus; evaluating definite integrals 27. 12.4 (after 6.5) Integration of Trig Functions 28. Catch up and the harder review problems FINAL EXAM Thursday May 9, 2002 from 4-7 pm (Math Group F), Locations to be announced.