Syllabus for Math 303
Koç University,
Spring 2021
Title
of the Course: Applied Mathematics
Instructor: Ali Mostafazadeh (Office:
Sci.154, TBA)
Textbook: “Mathematical
Methods for Physics and Engineering,” K. F. Riley, M. P. Hobson, and S.
J. Bence, 3rd Edition (Cambridge University
Press, Cambridge, 2006)
Website: http://portal.ku.edu.tr/~amostafazadeh/math303/math303_S2021/math303.htm
Topics
to be covered: Complex numbers; calculus of several
real variables; vector calculus; calculus of a single complex variable; Dirac
delta function; Fourier series and Fourier transform
Objective: To
provide the student with a basic knowledge of some of the standard mathematical
methods used in natural sciences and engineering. This includes the calculus of
several variables, optimization in the presence of Lagrangian constraints,
Green, Divergence and Stokes’ theorems, complex-valued and complex-analytic
functions, residue theorem and its applications in evaluating definite
integrals, elementary discussion of generalized functions, Dirac delta
function, Fourier series, and Fourier transform.
Evaluation
method: Students’
progress will be evaluated according to their performance in homework
assignments, three midterm exams, and a final exam. These will contribute to
the final grade of the student according to: Homework assignments 10%, midterm
exams 20% each, and final exam 30%.
Eligibility
to take the final exam: In order to
take the final exam a student must fulfill both of the following conditions: 1)
(S)He must not miss more than 30% of the classes. 2) (S)He must take at least one
of the midterm exams and his/her average grade in these exams must not be below
30 out of 100. A student
who is not eligible to take the final exam will automatically fail the course.
(S)he will however be allowed to take the remedial exam provided that (s)he can
pass the course by scoring 100 in this exam.
Attendance
& bonus: If a student misses n lectures and
n<10, 10-n bonus points will be added to his/her final exam grade.
Policy
for homework assignments: Homework papers must be uploaded to
Blackboard. Late homework papers will not be accepted.
Make-ups: If a student misses a midterm exam and
has a valid excuse, his (her) grade in the final exam will be substituted for
the grade in the missed exam. If (s)he also misses the final exam, (s)he will
be given zero in the midterm 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 attend at least 70% of the 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 derivations of the results covered in class on their
own. They are expected to spend an average of three hours per week on
studying the material covered in class in addition to the time spent on homework assignments.