Math 208, Spring 2011

Syllabus

 

Title of the Course: Advanced Calculus

Instructor: Ali Mostafazadeh (Office: Sci.154; Office Hours: Mon. & Wed. 10:45-11:45)

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 Space: 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 seven quizzes (Q1, Q2, Q3, Q4), two midterm exams (E1, E2), and a final exam (F). Quizzes will be mini exams of up to 50 minutes long. The midterm exams will be at most 80 minutes long and will be given in the lecture time. The total numerical grade (G) will be computed according to the following formula.

G = (Q1+Q2+Q3+Q4) ´ 5 % + (MT1 + MT2) ´ 20 % + F ´ 40 %.

The schedule for the quizzes and the exams is posted in the website of Math 208.

Make-ups: If a student misses a quiz or a midterm exam and has a valid excuse, his (her) grade in the final exam will be substituted for the grade in the missed quiz or exam. If (s)he also misses the final exam, (s)he will be given zero in the quiz(zes) and exam(s) that (s)he has missed regardless of whether (s)he has a valid excuse or not. 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 working out the suggested exercise problems.