Instructor: Jonathan Sands, Room 404, Lord House (16 Colchester Ave.) http://www.cems.uvm.edu/~sands/
Reach me at: 656-4339 or sands@cems.uvm.edu
Office hours: Mon. and Wed. 1:30- 2:30, Tu 12:45-1:45, Fri.11:15-12:00 Other times by appointment. Or send me your question by
email.
Course webpage: http://www.cems.uvm.edu/~sands/20/index.html
Expectations: The UVM Academic Honesty Policy and Classroom Code of Conduct is in effect, as always. Students are responsible for knowing what has been presented and announced in class. All work counted towards your grade in this course should be solely your own, and should be presented clearly and completely. Students must respect the thoughts and ideas of both the instructor and the other students. Such respect calls for good attendance, promptness, and making every effort to avoid interrupting class time. Please turn off all personal communication and media devices during the class.
Text: Applied Calculus, 4th edition, by Waner and Costenoble. Companion website at http://www.zweigmedia.com/4eSite/tccalcp.html
Course Description: Fundamentals of Calculus II develops the key ideas and applications of integral calculus and calculus of several variables, as presented in chapters 6-9 in the text and the online supplement on applications to probability and statistics. This includes anti-derivatives, definite integrals, partial derivatives, maxima and minima of functions of several variables, and their applications. The monumental breakthroughs of the Fundamental Theorem of Calculus and the Lagrange multiplier method for finding maxima and minima empower us to answer all kinds of questions in a ginormous variety of subjects! In order to promote greater understanding of and facility with the material, a common theme will be emphasis on four different approaches: graphical, numerical, verbal, and algebraic. A major goal is for students to learn how to solve problems involving numerical computation and mathematical modeling of real-world situations. For this, a calculator with trigonometric and logarithmic functions, and preferably graphing capability as well, is required. The TI-83/84 is highly recommended. Calculators may be used on all assignments and tests, but students need to demonstrate their understanding of concepts and their technical communication skills through written work as well.
Class Participation: Responsible class participation will be worth up to 2 bonus points on your final exam.
Take-Home Quizzes: Each week that we do not have a test, there will be an honor-system, open-book, open-notes, take-home quiz handed out on Friday and due Monday. These will cover recent material and are to be completed on your own, without consulting anyone else. Your 8 best grades on these will count towards your course grade. Emphasis will be on demonstrating the complete method of solution rather than just a short answer.
Homework: Homework to accompany each day’s lesson will be posted on the homework website. We will typically discuss homework at the beginning of each class. Homework may be handed in for up to 5 bonus points on each quiz. Emphasis will be on demonstrating the complete method of solution rather than just a short answer.
Tests: Test I on material from chapter 6 will be held in class on Wednesday, February 6. Test II on material from chapter 7 and section 9.3 will be on Friday, March 7. Test III on material from chapter 8 will be on Friday, April 11. Emphasis will be on demonstrating the complete method of solution rather than just a short answer.
Final Exam: Comprehensive 3-hour exam at 8am on Monday, May 5. Emphasis will be on demonstrating the complete method of solution rather than just a short answer.
Course Grades: Each of the three tests will be worth 15% of your grade. The final exam will be worth 25% of your grade. The combination of all take-home quizzes will be worth 30%. Letter grades will be assigned in accordance with the traditional standards for this course. In particular, a numerical grade of 90% will translate into at least an A-, 80% will translate into at least a B-, 70% will translate into at least a C-, etc.
Special Needs: If you are eligible and need an accomodation, please inform me and provide appropriate documentation during the first two weeks of class so that this can be implemented.
Additional Help: In addition to help from me, the Department of Mathematics and Statistics schedules free Help Sessions throughout the semester. Help using the TI-83/84 calculator is available online. For these and other useful information, click on Classes from the Department webpage at www.uvm.edu/~cems/mathstat/ The Living/Learning Coop also has tutors for Math 20.
Missed work: Make-up tests can be arranged in the case of an emergency, if you inform me before the start of the test. UVM policy also allows students to make up work that conflicts with documented religious obervances or intercollegiate athletic events. Meet with me to discuss this during the first two weeks of the semester.
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