Syllabus for Math 135, all sections, Fall 2002
The textbook is:Applied Calculus, 5th edition, by S.T. Tan, published by Brooks&Cole
This course requires a graphing calculator. Graphing calculators may be used on the final exam and on the midterm exams. However, calculators with QWERTY keypads or symbolic manipulation capabilities may not be used on any exam. This means that the TI-89 and the TI-92 calculators may not be used on any exam.
Topics planned to be covered by lecture number (homework assignments listed elsewhere). 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 Applications of 1st derivative 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 on December 16, 2002 from 4:00 pm to 7:00 pm. Locations to be announced.