Math 503, Fall 2010

Syllabus

 

Title of the Course: Applied Mathematics

Instructor: Ali Mostafazadeh (Office: Sci.154; Office Hours: Mod. & Wed. 10:00-11:00)

Textbooks: “Advanced Engineering Mathematics,” E. Kreyszig, 9th Edition (John-Wiley & Sons, Hoboken, New Jersey, 2006); “A First Course in Linear Algebra,” A. Mostafazadeh, in preparation.

Website: http://portal.ku.edu.tr/~amostafazadeh/math503/math503_f2010/math503.htm

Topics to be covered: Linear algebra (vector and inner product spaces, linear operators) Vector Calculus (differential and integral calculus, theorems of Green, divergence, and Stokes), Ordinary differential equations (linear 2nd order equations, Sturm-Liouville problem, orthogonal functions, linear systems of equations).

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.

Evaluation method: Students’ progress will be evaluated according to their performance in the homework assignments (H), four quizzes (Q1, Q2, Q3, Q4), two midterm exams (MT1, MT2), and a final exam (F). Quizzes will be mini exams of up to 50 minutes long. They will be given during the PSs. 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 = H  Х 10 % + (Q1+Q2+Q3+Q4)  Х 7.5 % + (MT1 + MT2) Х 15 % + F Х 30 %.

Exam Schedule: Quiz 1: PS of week of Oct. 3; Quiz 2: PS of week of Oct. 18; Midterm Exam 1: Nov. 08; Quiz 3: PS of week of Nov. 15; Quiz 4: PS of week of Nov. 29; Midterm Exam 2: Dec. 20; Final Exam: Jan. 10-23. The dates and times for the PSs and the final exam are to be announced by the Registrar’s Office.

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.

Policy for Homeworks: Homeworks will be collected in class. The assistant will not accept late homeworks nor will he return them directly to the students. If a student fails to turn in his (her) homework by the deadline, his (her) grade for that homework set will be reduced by 10 points (out of 100) for each day passed the deadline.

Auditing Students: In order to get an AU, a student must attend at least 20 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 the results derived in class 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 homework problems.