Course Description: An introduction to calculus. The objectives are (1) a rigorous development of limits and derivatives, (2) derivatives of trigonometric, logarithmic, and exponential functions, (3) an introduction to integrals through Riemann Sums, (4) the Fundamental Theorem of Calculus and its proof, (5) applications in optimization, related rates, areas, volumes, and motion, (6) the use of Mathematica for computation and exposition.
Prerequisite: MTH 151 or four years of high school mathematics, including trigonometry.
Text: Calculus, Early Transcendentals, Sixth Edition, by Stewart. We will cover most of chapters 1-6.
Web page: My home page www.uwlax.edu/faculty/will/ has a list of my office hours. The 207 link under current courses takes you to the page for this course. There you will find this syllabus, a daily calendar showing tentative dates for assignments, a list of assigned homework problems, and other resources.
Attendance: If you miss class due to circumstances beyond your control you should (a) consult the web page to see what you missed, (b) read the appropriate section of the text, (c) attempt the homework problems, and then (d) visit my office hours for clarification on anything you didn't understand. If you miss class as a matter of personal convenience do steps (a)-(c) only.
Grading: Your final grade will be based on three Computer Algebra System (CAS) writing projects (25+50+100=175pts), three quizzes (3 x 35=105pts), four exams (4 x 120=480pts), and a comprehensive final exam (240pts). Percentage to Letter Grade guarantees: 92 for an A,82 for a B, 70 for a C, and 60 for a D. Note that these percentages may be adjusted downward slightly. Final cutoffs for these grades as well as cutoffs for AB and BC will be based on demonstrated effort and class participation. Students earning a grade of "B" or better may possibly receive four credits for MTH 151. (First semester first year students should also consider taking the Math 150 Credit-By-Exam for an additional four credits.)
Homework: A list of suggested homework problems will be given for each section of the text that we cover. Homework will not be collected, but thoughtful completion of the suggested homework problems is the most reliable path to success in this course. You can find hints and answers to many homework problems at www.hotmath.com. You need to log-in with the Member Code provided to you. You are also strongly encouraged to work together on homework at the Math Center.
The Math Center is located in Whitney Food Center near the Sub Station. The Center has large tables where you can spread out to work either alone or with classmates. And, if you get horribly stuck, you can get help from a member of the Math Center staff. The hours of operation are generally 8am to 8pm Monday through Thursday and 8am to noon on Friday. Check the door or the math web page for exact hours.
Writing Projects: You will write three reports using the Computer Algebra System Mathematica. This software will allow you to combine in a single typeset document your explanations, computations, and graphics.
Quizzes and Exams: There will be no makeup quizzes or exams. In the event that you miss a quiz or an exam, the final exam will count for a larger part of your grade. The final exam will be comprehensive with an emphasis on any material covered after the fourth exam.
First, keep up. If
this is your first college math class what will surprise you most is how fast we
go. Unlike high school, we will cover new material almost every day and
frequently the new material depends heavily on what was done the day before.
Missing one day's homework can leave you doubly confused by the end of the next
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