MAC 3473 Honors Calculus II MTWF 8th(3:00-3:50) LIT 235 Fall 1995 INSTRUCTOR: Frank Garvan 319 Walker Hall 392-0287 392-0281 (message) email: frank@math.ufl.edu web: http://www.math.ufl.edu/~frank/ OFFICE HOURS: Monday 9:35-10:25, Wednesday 10:40-11:30, Friday 11:45-12:35 or by appointment. PREREQUISITES: MAC 3311 or MAC 3472 TEXT: Ellis and Gulick, Calculus with Analytic Geometry, Sanders, 5th Edition. COURSE CONTENT: This course is designed to serve highly motivated and capable students working on majors in mathematics, the sciences and engineering. We will cover all the techniques of MAC 3312 (the regular Calc 2 class). As well we will study the concepts that underly these techniques. We will also learn the symbolic computation package MAPLE and use it to solve problems. The core topics are listed below. Ch 6. Inverse Functions (6.1--6.3, 6.5, 6.6) Ch 7. Techniques of Integration (6.1--7.7) Ch 8. Applications of the Integral(8.1--8.6) Ch 9. Sequences and Series(9.1--9.9) Ch 10. Curves in the Plane(10.1--10.5) Ch 11. Vectors, Lines and Planes(11.1--11.2) Supplementary material on MAPLE (each student will be given a Math. dept. computer account) The scope of the course is defined by the content of the lectures, problem sessions, and the homework and reading assignments. COURSE GOALS: By the end of the semester, you should : 1. know how to communicate mathematical ideas effectively; 2. know the basic techniques and applications of the calculus of functions of one variable; 3. understand the concepts underlying the theory of calculus; 4. know how to use the computer package MAPLE. GRADING: There will be homework assignments. There will be two mid-term exams and a final. The final exam will cover the whole semester's work. 2 Two Hour Evening Tests 250 Individual and group Homework 100 Comprehensive Final Exam 150 --- 500 Note that your raw homework total will be converted to a mark out of 100 . Final grades will be based on a straight scale. No scores will be dropped. Documentation is required for a make-up test. DATES: Labor Day Monday, Sept 4 EXAM I Wednesday, Sept 27, 6:00--8:00pm EXAM II Wednesday, Nov 1, 6:00--8:00pm Homecoming Friday, Nov 3 Veterans Day Friday, Nov 10 Thanksgiving Nov 23--24 Last day of classes Dec 6 Study/Review days Dec 7--8 FINAL EXAM Monday, Dec 11, 3:00--5:00pm