# PHYS 3260

**Mathematical Physics**

Spring 2020**Professor Nikolaos Kidonakis**

Office: SC 437

Phone: (470) 578-6607

email: nkidonak@kennesaw.edu

Web: http://facultyweb.kennesaw.edu/nkidonak

**Lectures: **TTH 9:30-10:45am, Academic Bldg 250

**Office hours:** After the lectures

**Textbook:** Mathematical Methods for Physics and Engineering, third

edition, by Riley, Hobson, Bence

**Catalog course description**

PHYS 3260: Mathematical Physics 3-0-3

Prerequisite: Grade of "C" or better in MATH 2202, and PHYS 2212

This course students will review mathematical techniques that are

often used in upper-level physics courses. Students will learn to

apply linear algebra, differential equations, vector calculus, Fourier

series, Fourier transforms, Bessel functions, Legendre polynomials,

and complex analysis to solve problems in physics.

**Course content**

PHYS 3260 is a course on mathematical methods in physics.

The course will cover partial derivatives, matrices, eigenvalues and

eigenvectors, vector calculus, Fourier series, Fourier and Laplace

transforms, the Dirac delta function, differential equations, special

functions, quantum operators, calculus of variations, and complex

analysis.

**Learning outcomes**

1. Use partial derivatives to solve physics problems.

2. Apply eigenvalues and eigenvectors to various physics topics.

3. Apply Fourier and Laplace transforms to selected physics problems.

4. Analyze and apply quantum operators to problems in quantum

mechanics.

5. Use complex integration to solve a variety of problems.

**Grading**

Homework 15%

Tests 60% (3 tests, 20% each)

Final Exam 25%

Grades: A >90%; B 80%-90%; C 70%-80%; D 60%-70%; F <60%

**Withdrawal**

Last day to withdraw without academic penalty is February 26.

**Tentative Schedule**

Jan 7-9

Partial derivatives

Chapter 5: Sects. 5.1-5.8, 5.11

Homework: Chapter 5: Problems 5.1, 5.3, 5.6, 5.10, 5.11, 5.25

Jan 14-16

Matrices and vector spaces

Chapter 7: Sects. 7.6

Chapter 8: Sects. 8.1-8.12

Homework: Chapter 7: Problem 7.8

Chapter 8: Problems 8.2(b), 8.4, 8.7(a,b), 8.10

Jan 21-23

Eigenvalues and eigenvectors

Chapter 8: Sects. 8.13-8.16

Homework: Chapter 8: Problems 8.15, 8.16, 8.21

Jan 28-30

Test 1; Vector calculus

Test 1 is on Tuesday, Jan 28

Chapter 10: Sects. 10.1-10.2, 10.7-10.9

Homework: Chapter 10: Problems 10.13, 10.15, 10.19

Feb 4-6

Fourier series

Chapter 12: Sects.12.1-12.7

Homework: Chapter 12: Problems 12.5, 12.9, 12.18, 12.21

Feb 11-13

Fourier and Laplace transforms; Dirac delta function

Chapter 13: Sects. 13.1-13.3

Homework: Chapter 13: Problems 13.1, 13.3, 13.16, 13.21, 13.22(a), 13.23(a,b)

Feb 18-20

Test 2; Differential equations

Test 2 is on Tuesday, Feb 18

Chapter 14: Sects 14.1-14.3

Homework: Chapter 14: Problems 14.1, 14.2, 14.3(a,b), 14.8, 14.21

Feb 25-27

Legendre and Bessel functions; spherical harmonics

Chapter 18: Sects. 18.1-18.6

Homework: Chapter 18: Problems 18.1, 18.2, 18.4, 18.6, 18.10

March 3-5

Laguerre and Hermite polynomials; Gamma and hypergeometric functions

Chapter 18: Sects. 18.7-18.12

Homework: Chapter 18: Problems 18.5, 18.7(b), 18.8, 18.11(a,b), 18.12, 18.14, 18.20

March 10-12

Quantum operators

Chapter 19: Sects. 19.1-19.2

Homework: Chapter 19: Problems 19.1, 19.3, 19.4, 19.7

March 17-19

Dirac equation and spinors; Gauge theory

Homework: Problems given in class handout

March 24-26

Test 3; Partial differential equations

Test 3 is on Tuesday, March 24

Chapter 20: Sects. 20.1-20.4

Chapter 21: Sects. 21.1

Homework: Chapter 20: Problems 20.3(a), 20.4(a), 20.7, 20.10(a)

Chapter 21: Problem 21.4

March 31- April 2

Spring break; no classes

April 7-9

Calculus of variations

Chapter 22: Sects. 22.1-22.5

Homework: Chapter 22: Problems 22.4, 22.5, 22.6, 22.15

April 14-16

Complex variables

Chapter 24: Sects. 24.1-24.7

Homework: Chapter 24: Problems 24.1, 24.3(a), 24.5(a,b), 24.6(a,c)

April 21-23

Complex integration

Chapter 24: Sects. 24.8-24.13

Homework: Chapter 24: Problems 24.10, 24.15, 24.21

**Final Exam** Thursday, April 30, 10:30am-12:30pm

**Exams Policy**

Please note that any mobile device that transmits a signal is not permitted to be
used in an exam. All mobile devices should be deactivated during exams. Final exam
make-up is only for documented and excused emergencies or for scheduling conflicts
with other final exams.

**Academic Integrity**

Every KSU student is responsible for upholding the provisions of the Student Code of Conduct, as published in the Undergraduate and Graduate Catalogs. The Student Code of Conduct
addresses the University's policy on academic honesty, including provisions regarding
plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification
of University records or academic work, malicious/intentional misuse of computer facilities
and/or services, and misuse of student identification cards. Incidents of alleged
academic misconduct will be handled through the established procedures of the University.

**Attendance & Participation**

Students are expected to attend all lectures, take all tests and exams, and complete
all homework assignments.

**Other Policies**

See the Student Handbook for other policies.

**Inclement Weather**

For the official status of the university check the KSU website http://www.kennesaw.edu