Course Outline - Math 111H - Calculus I Honors - Fall 1997 Prof. Bruce Bukiet Office Hours: Tuesday and Thursday 2:30 - 4:00 pm. Phone: 596-8392 Office: 518 Cullimore Hall Web page: http://cams.njit.edu/~bukiet e-mail: bukiet@shock.njit.edu Prof. Amit Bose Office Hours: To be announced in class Phone: 596-5837 Office: 623 Cullimore Hall Text ---- Calculus by Edwards and Penney GRADING There will be 3 examinations on the following days: Wednesday, Sept. 24, Wednesday, Oct. 22 and Wednesday, Nov. 19, all from 4:15 pm to 5:30 pm. Together, they will account for 60% of your grade. There will be no make-up exams. The final exam will account for 25% of your grade. Fifteen percent of your grade will be based on class participation, homework and projects. The course will cover the material in the first 5 chapters of the text, plus a section on Mathematical Induction and supplementary material on topics in the text. The following topics will be covered (tentatively): Weeks 1 and 2 Mathematical Induction, Read and Review Chapter 1 and ask any questions on these topics. Weeks 3 and 4 Chapter 2 - Limits and Continuity Weeks 5, 6 and 7 Chapter 3 - Rates of Change and Derivatives Weeks 8, 9, and 10 Chapter 4 - Applications of Derivatives Weeks 11 - 14 Chapter 5 - The Integral and Simple Integration HOMEWORK ASSIGNMENTS (suplementary problems and projects will be added) 0. p. 12 57; Read Section 1.5; p. 47 14,17,22,26,38 Find all solutions to $| 3x+5|<|2x-7|+3$. 1. Mathematical Induction problems 2. p. 50 redo example 1 for the point P(3.9) and calculate m(h) for h=0.5, 0.25; redo example 1 for the point P($a,a sup 2$) and calculate m(h) for h=0.5, 0.25, 0.125; Write the equation of the tangent line to $y=x sup 2$ at (4,16). A5. 1,5,7,11,19,26,27,41 3. p. 57 1,7,13,15,17,22,29,32,37,39,41,42,43 4. p. 69 1,5,7,9,10,13,15,17,22,23,28,30,39,41. Understand 9,10,15,17,22 and 30 as derivatives. 5. p. 71 1-6. Understand these as derivatives. Also epsilon-delta proofs. 6. p. 80 1,3,5,7,9,13,15,19,23,25,26,31,43,46,50,56,57,60,63 7. p. 90 1,5,11,15,21,25,29,33,43,45,46,55,56,61,64,67, Salas-Hille problem, Bisection problems. 8. p. 105 1,6,7,9,11,17,21,25,27,29,30,31,33,35,38,40,43 9. p. 115 1,3,5,7,9,12,15,19,21,25,29,33,41,45,48,51,53,56,58,60,62-4,66 10. p. 124 1,7,9,13,17,21,25,29,33,39,45,46,49,51-4,56,59,60 11. p. 129 1,5,9,13,17,21,27,31,36,43,45,47,49,52,53,55,58,59 12. p. 138 1,3,5,7,9-11,15,19,23,27,33,34,45,47-52 13. p. 149 1,3,5,7,11,16,20,35,38,33,36,40,41,45,47,52 Read and understand 48 and 49 14. p. 161 1,5,9,15,21,27,28,33,34,41,47,55,63,64,66,69,72 15. p. 173 11-27 odd, 28,31,35,39,41,45,49,53,56,59,61,63,64 Read and think about 30 16. p. 180 1-25 by 4s, 31,33,37,40,45,47,49,51,57,60,61,64 17. p. 218 1-9 odd, 13,19,25,27,29,30,31,33,35,38,41,43,44,45,49-55,57,58 18. Read pp. 189-192 on Computer Graphics. p. 192 1,3,5,9,13,17,22,23 (compare to Newton's method), 24 and use Newton's method, 26,27,37,39. 19. p. 208 1,7,17,22,25,27,29,31,41,45,48,49 20. p. 228. 1,5,11,13,17,21,25,27,30,33,35,41,42,45,46 21. p. 237 1-5,9,13,21,27,33,37,39,43,47 22. p. 250 1,5,7,11,15,17,21,23,27,31,37,41,45,47,49,65,75,77-83,85-7,89. Read and understand 88 and 90. 23. p. 261 1-27 odd, 29,33,37,41,45,49,53,55 24. p. 278 1,5,9,13,15,17,21,25,29,31,33,35,39,43,47,49,51,55,61,62,64,66,67,69 25. p. 290 1,7,11,19,27,31 (n=5),32 (n=5) 26. p. 298 1,3,6,8,16 Read and understand 51 27. p. 307 1-37 by 4s,39,41,43,47,50 28. p. 316 1,3,7,11,20,24,35,36,41,43,47,51,55 29. p. 323 1,5,11,17,25,31,35,41,47,51,55 Read and understand 57-60 30. p. 332 1,5,9,13,19,23,29,37,43,44,49 31. p. 345 3,15,21,26