MAA4211 syllabus

MAA4211 SYLLABUS

Advanced Calculus I
Section 3045 Fall 2013



Text

Introduction to Analysis, Maxwell Rosenlicht, Dover, 1968.

Course Content and Objectives

A rigorous treatment of the foundations of Calculus including:the real numbers; metric spaces; continuity, differentiation and integration; and sequences and series of functions. This corresponds to much of chapters 1-6 in the text. In addition to mastery of the course content, course objectives include reading, writing, and discovering proofs and constructing proofs and counterexamples in analysis.

Instructor and Office Hours

    Scott McCullough
    490 Little Hall
    Office hours M 5, W 6, F 4 or by appointment.

Suggested Problems

Selected problems from the text will be assigned on a daily basis.

Homework


Twelve or 13 homework problems will be assigned, collected, and graded. Late homework will not be accepted, rather the lowest two homework scores will be dropped. Homework will be worth 100 points total.

Exams

There will be three exams each worth 100 points based upon Suggested Problems, and Homework. The final exam (Thursday 12 December, 12:30-1:30) will serve as a make-up.

    Exam 1. Wednesday 25 September.
    Exam 2. Wednesday 23 October.
    Exam 3. Monday 02 December.

Grading


A course total will be computed by adding the exam and homework scores. Grades will then be assigned according to a straight scale:
90 – 100 A; 87 – 89 A-; 84-86 B+; 80-83 B; 77-79 B-; etc.

See the current UF policy on assigning grade points.

Attendance

Attendance is recommended.

Academic Honesty

The course will be conducted in accordance with the University honor code and academic honesty policy, which can be found in the student guide

Accommodation for students with disabilities

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

August 21 – 28, Review of sets, set operations and functions (2 homework problems).
August 30 – September 11, The real numbers and the least uppper bound property (2 homework problems).
September 13 – 20, Metric spaces.
September 27- October 4, Sequences. (2 homework problems).
October 7 – 18, Compact and connected sets (2 homework problems).
October 25 – October 30, Continuous functions.
November 1 – 6, Sequences of functions (2 homework problems).
November 13 – 18, Differentiation (2 homework problems).
November 20 – 25, Flex days, review.