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Math 122 Calculus III
Fall 2009 Prof. D. Joyce Department of Mathematics and Computer Science Clark University |
Calculus is essential for majors in biology, chemistry, computer science, mathematics, physics, and
environmental science and policy. Part I includes functions, limits, continuity, differentiation of
algebraic and trigonometric functions, mean value theorem, and various applications. Part II includes;
Riemann sums and integrals, techniques and applications of integration, improper integrals,
transcendental functions; (logarithms, exponential functions, and inverse trigonometric functions).
Part III includes further topics from calculus proper (sequences, series, polar coordinates) and
introduces linear algebra (vectors, matrices, and linear systems). Though not all results are derived
rigorously, care is taken to distinguish intuitive arguments from rigorous proofs. Math 120, 121, and
122 each fulfill the Formal Analysis requirement.
Prerequisite for Math 120: appropriate score on the mathematics
placement test, or appropriate grade in Math 119.
Prerequisite for Math 121: Math 120, or Math 124, or AP credit in Calculus.
Prerequisite for Math 122: Math 121.
/ Offered every fall (120, 122) and spring (121).
Homework and Quizzes. I will assign daily practice exercises from the text to help you master the concepts discussed in class. Although the exercises will not be collected regularly, you are expected keep up to date on the problems. Math is not a spectator sport. You learn by doing; therefore, it is only to your advantage to keep abreast of the current topics under discussion. Periodically I will assign a few specific exercises to be collected and graded, and those assignments are due in class on the assigned day; I won't accept late assignments. I'll give short 15–20 minute quizzes periodically throughout the semester.
Exams are in class, closed book, and closed notebook, but you may use one sheet of notes and a calculator. If you have a legitimate, documented excuse for missing an exam, contact me (before the scheduled time if at all possible) to reschedule the exam (at my convenience).
The final exam will be a two-hour, comprehensive exam, given during the final exam period. All students will be required to take the final exam at that time. Therefore do not make plans to leave campus before the final exam.
The course grade is computed as follows
20%, Assignments and quizzes 25%, Exam 1 25%, Exam 2 30%, Final Exam
Polar coordinates, parametric equations § 10.2 # 1–23 odd, 37, 41, 46, 49, 51, 54, 57, 59 § 10.3 # 1–13 odd, 21, 23, 27, 29 § 10.4 # 3, 5, 9, 15, 17, 19, 23, 27 § 10.5 # 1, 3, 5, 9, 13, 22, 23, 33 § 10.6 # 3, 5, 19, 36 § 10.7 # 3, 5, 19–23 odd, 31, 35 § 10.8 # 11–17 odd Project 10.8 # 1, 2 Sequences, indeterminate forms, improper integrals, L'Hôpital's rule § 11.1 # 5–17 odd, 21, 23, 27 § 11.2 # 5, 7, 9, 11, 13, 23, 31, 41, 49, 54 § 11.3 # 5, 7, 9, 10, 13, 17, 21, 58 § 11.4 # 1, 3, 11, 13, 17, 21, 25, 33, 41 § 11.5 # 1, 5, 7, 9, 21, 23, 43 § 11.6 # 1, 3, 7, 11, 15, 17, 25, 31, 35, 47, 49 § 11.7 # 1, 3, 9, 13, 15, 19, 25, 27, 33 Infinite series § 12.1 # 1–9 odd, 17–29 odd § 12.2 # 1, 5, 7, 11, 13, 15, 17, 21, 29, 37 § 12.3 # 1, 3, 5, 11, 13, 15, 25, 27, 29, 35 § 12.4 # 1, 3, 5, 9, 11, 17, 21, 25, 33 § 12.5 # 1, 3, 7, 10, 11, 16, 27, 28, 30, 31 § 12.6 # 1, 5, 7, 14, 15, 21, 23, 27, 33, 41 § 12.7 # 3, 5, 9, 11 § 12.8 # 3, 5, 9, 13, 15, 35, 37 § 12.9 # 1, 5, 11, 15, 21, 27, 41 Project 12.9A # 1, 2, 3, 4, 5a, 6 Vectors in three dimensions § 13.1 # 3, 7, 15, 19, 23, 25, 31, 33 § 13.2 # 1–13 odd, 25, 29, 40 § 13.3 # 3, 5, 7, 11, 17 § 13.4 # 3–11 odd, 21–27 odd § 13.5 # 1, 3, 5, 13, 21 § 13.6 # 1, 3, 5, 11, 17, 19 Appendix A.2 # 1–7 odd, 11, 13
This page is located at http://aleph0.clarku.edu/~djoyce/MA122/