Syllabus for Math 303

Koç University, Spring 2020

Revised on March 27, 2020

Title of the Course: Applied Mathematics

Instructor: Ali Mostafazadeh (Office: Sci.154; Office Hours: Tuesdays & Thursdays 17:25-18:25)

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_S2020/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, two extended quizzes (mini exams) and a final exam. These will contribute to the final grade of the student according to: Homework assignments 20%, quizzes 30%, and final exam 50%.

Eligibility to take the final exam:  Due to the unusual situation related to the spread of coronavirus all students will be eligible to take the final exam.

Attendance & Bonus: n bonus points will be added to the final exam grade of the students who attended 10+n lectures out of the 14 lectures held before March 16, 2020.

Policy for Homeworks: Starting March 30, 2020, scanned PDF copies of the homework papers should be sent as an attachment to the assistant’s email address before the specified deadlines. The email should have subject: “Math 303, Homework X” where “X” is the number of the homework assignment. The same PDF must also be uploaded to Math 303’s page in Blackboard. No late homeworks will be accepted.

Make-ups: If a student misses a quiz and has a valid excuse, his (her) grade in the final exam will be substituted for the grade in the missed quiz. If (s)he also misses the final exam, (s)he will be given zero in the quiz(zes) 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.

Rules for online education: Starting from March 30^th and till further notice, the lectures will be pre-recorded and made available online as videos. The electronic files of these video lectures and their content must not be made available to third parties; students are not permitted to share any part of these videos in the social media platforms or post them in the internet. The video lectures will be made available through Blackboard for a period of two weeks. The students should take notes while watching the video lectures and send their feedback to the instructor’s email. They can also make appointments for Skype meetings.

Suggested Method of Study: Suggested Method of Study: Students are advised to take notes during the (video)lectures and study their content immediately after each lecture. 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, proofs of the theorems, and 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.