Mathematical Methods in Physics I Syllabus - FIZ323E Course Outline

Mathematical Methods in Physics I
FIZ323E
Instructor: Cem Servantie
email: [email protected]
Phone: 0212-285-3203
Office: B4-220
Office Hours: Drop by when you want to ask a question at my office or send me an email.
Course Description: This lecture aims to prepare the student to the upper level undergraduated courses
in theoretical physics. The first part of the lecture will focus on linear algebra, starting from fundamental
definitions of groups and vector spaces, up to the diagonalization of matrices. The second part of the
lecture will be on calculus, we will give a reminder of one-dimensional derivatives and integrals and
multdimensinal integrals, followed by Taylor and Fourier series. Finally, differential equations, functional
calculs, and complex functions will be reviewed.
References:
ˆ A. Altland and J. Von Delft, Mathematics for physicists,
Cambridge University Press (2019)
ˆ K. F. Riley, M. P. Hobson and S. J. Bence, Mathematical Methods for Physics and Engineering,
Third Edition, Cambridge University Press (2006)
Quizzes: Short exams will be given after each chapter.
Examinations: There will be two midterm examinations covering each half of the course. The final
examination will cover the entire course. You need to have at least 15 points out of 60 from the two
midterms and in class examinations in order to attend the final exam.
Grading: Your final grade will be calculated according to the following table:
Activity
Quizzes
Midterms
Final exam
Weeks
1-5
6
6-11
12
12-14
Percent of Total Grade
10 %
25 %+25 %
40 %
COURSE SCHEDULE
Topics
Linear algebra: groups, vector spaces, inner product, vector product, linear maps
matrices, inverse of matrices, determinants, trace, eigenvalues and eigenvectors
Midterm I
one dimensional differentials and integrals, multidimensional integrals
Taylor series, Fourier Calculus
Midterm II
Differential equations, functional calculus, complex fonctions