Math 208, Spring 2013

Syllabus

 

Title of the Course: Advanced Calculus

Instructor: Ali Mostafazadeh (Office: Sci.154; Office Hours: Mon. & Wed. 14:30-15:25)

Textbook: “Advanced Calculus,” P. M. Fitzpatrick, 2nd Edition (AMS, Providence, 2006)

Website: Visit http://home.ku.edu.tr/~amostafazadeh/ and follow the link Teaching  and then Math208.

Topics to be covered: Real numbers and the completeness axiom; Real sequences, series, and their convergence; Real-valued functions of a real variable: continuity, uniform continuity, and differentiability; Euclidean Spaces: vector and inner product space structures, convergence of sequences, open, closed, compact, and connected subsets; Functions mapping between Euclidean spaces: Continuity, differentiability, the inverse and implicit function theorems.

Attendance: Students are strongly advised to attend all the lectures and PSs. 5 bonus points will be added to the total numerical grade (G) of those students who will miss at most 4 lectures. In addition, 5 bonus points will be given to those students who will miss at most 3 PSs.

Evaluation method: Students’ progress will be evaluated according to their performance in homework assignments, four quizzes, two midterm exams, and a final exam. Quizzes will involve material covered in class and problems given in homework assignments. They will be more like mini-exams of up to 50 minutes long. Only the homework problems that appear in a quiz will be graded. To each quiz there will correspond one or more homework assignments. The smallest of the grades received for a problem in a homework assignment and a quiz will be taken into account. In this way to each quiz there will correspond a homework grade. The lowest of these will be dropped and the average of the rest will contribute as 15% to the total numerical grade. The contribution of the quizzes and exams will be as follows: Quizzes 15%, each midterm exam 15%, final exam 40%. The schedule for the quizzes and the exams is posted in the website of Math 208.

Eligibility to take the final exam: In order to qualify for taking the final exam, a student should fulfil at least one of the following conditions:

1) The average of his/her quiz grades is at least %50.

2) The average of his/her midterm exam grades is at least %30.

If a student fails to satisfy both these condition, (s)he will not be allowed to take the final exam and will fail the course.

Make-ups: If a student misses a quiz and has a valid excuse, his (her) grade in the following exam will be substituted for the grade in the missed quiz (and the corresponding homework). The final exam will be the make-up exam for the missed midterm exams. If a student misses the final exam and has a valid excuse, (s)he will be given a make-up exam.

Auditing Students: In order to get an AU, a student must not miss more than four lectures.

Suggested Method of Study: Students are advised to study the subjects covered in class immediately after the lectures. Reading the lecture notes and the book is necessary for grasping the subject, but it is by no means sufficient. Students must try to reproduce the definitions and proofs of the theorems on their own. They are expected to spend an average of six hours per week on studying the material covered in class in addition to the time spent on the homework assignments.