Advanced Calculus (for Scientists and Engineers) I
Spring 2018 Sections 3006/2708
The goals of the course are to obtain a sound understanding of the basic mathematical concepts of calculus; to learn to construct proofs and counterexamples; and to improve the ability to reason carefully and creatively when dealing with mathematical material. It will cover the real numbers, sequences, limits, continuity, differentiation and, if time permits, the Riemann integral.
The fundamental ideas of calculus play an important role in the physical sciences and engineering. For this reason, students in these areas may choose to take this course, even though no particular applications are discussed in the course. Students in mathematics, education, and other areas may also choose to take this course. However, students who intend to pursue graduate study in mathematics and certain allied disciplines should not take this course. These students should take MAA 4211 instead.
A friendly introduction to analysis, Witold A. J. Kosmala, Prentice Hall.
Selected problems from the course notes will be assigned on a daily basis.
Twelve homework problems will be assigned, collected, and graded. The lowest two homework scores will be dropped. Homework will be worth 100 points total.
There will be three exams each worth 100 points. The final exam will serve as a make-up.
Exam 2 Wednesday 21 March. Exam 3 Monday 23 April. Make-up Thursday 3 May, 12:30-1:30.
A course total (out of 100) will be computed by adding the exam scores and homework score. Grades will then be assigned according to the (percentage) scale: 90 A; 87 A-; 83 B+; 80 B; etc.
Attendance is recommended.
The course will be conducted in accordance with the University honor code and academic honesty policy, which can be found in the student guide (http://www.dso.ufl.edu/studentguide.html).
Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation. Tentative weekly schedule
Weeks 1,2: The real numbers (6 lectures). |