Mathematical Physics

** Instructor:**
Horst D Wahl,

- Office 316 Keen Bldg.
- Phone 644-2338, 2867
- Office Hours: Monday, Wednesday after class and by appointment, any time you can get a hold of me

- Office TBA Keen Bldg.

**Class meetings:** Monday, Wednesday, Friday 11:15 to 12:05 in HCB314

**Tutorial session:** time and place to be defined.
**Prerequisite:**
PHY3101, PHY3045

**Corequisite:** MAP 2302 or MAP 3305.

**Homework:** Weekly, due every Friday.

**Homework turned in late without valid excuse will be given 50% credit.**

**Midterms:** One hour during class time, twice.

First midterm: **Friday, 10 February** during class time.

Second midterm: **Friday, 24 March ** during class time.

Pop Quizzes: There will be a few Pop Quizzes at random times which will allow you to earn extra points.

**Final exam:** Thursday, 4 May, 12:30am - 14:30 HCB 314.

**About the course:**

The purpose of this course is to provide the student with some of the
essential mathematical tools necessary for advanced physics courses.
The aim is not mathematical rigor, but a process of familiarizing you
with some of the mathematical concepts and techniques that you are liable
to encounter later in your studies and
giving you an occasion to acquire some of the skills that you should have.
There will be examples and problems, but only few mathematical proofs.
We will cover a number of topics drawn from the following areas:

- review: differentiation, integration, complex numbers
- review: "ordinary" vectors
- review: matrices, linear equations
- complex variables, functions of complex variables
- linear algebra:
- vectors, vector spaces
- metric spaces
- basis vectors
- Dirac notation
- operators on vector spaces,
- representation of vectors and linear operators
- matrices
- eigenvectors, diagonalization

- vector calculus:
- tensors, metric, coordinate systems
- orthogonal transformations, curvilinear coordinates
- differentiation of vectors, vector operators
- transformation properties of vectors, tensors

- infinite series
- convergence criteria
- function series, Taylor series,
- functions of complex variables, analytic functions
- Cauchy-Riemann equations, Laplace equation
- zeroes and singularities
- Taylor and Laurent expansion

- function spaces
- metric, Cauchy-Schwarz inequality
- Lebesgue measure, Lebesgue integral, L square integrable functions
- orthogonal functions, basis of function space
- expansion in orthogonal functions
- Fourier coefficients
- Fourier series

- integral transforms (Fourier, Laplace)
- Generalized functions (distributions), Dirac delta
- differential equations
- Ordinary differential equations (ODEs)
- solution of ODEs by Laplace transform
- partial differential equations of physics

The emphasis will be on developing intuition by paper-and-pencil analytical work.

The homework, which is due weekly, is an integral part of the course and acounts
for 25% of the total grade. Working problems is absolutely essential to developing
a true understanding of the material. There will be tutorial sessions where you will
have occasion to ask questions and get help with solving problems. You will be expected to show
how far you got in your solution, and we'll go from there. Attending these tutorials is
highly recommended.

**Grading:**

Homework |
25% |

1st midterm exam |
20% |

2nd midterm exam |
20% |

Final exam | 35% |

grade |
points |

A |
96 |

A- |
90 |

B+ |
85 |

B |
77 |

B- |
70 |

C+ |
63 |

C |
57 |

C- |
50 |

D |
40 |

Websites:

- class Website: http://www.hep.fsu.edu/~wahl/phz3113/sp17. The Website can be reached via Blackboard or from my homepage (http://www.hep.fsu.edu/~wahl )
- This course makes heavy use of the FSU Blackboard utility. Class notes, homework assignments and solutions, as well as exam solutions will be posted there. To get to the Blackboard pages, go to https://campus.fsu.edu. You will be prompted to enter your ACNS username and password to log in. After having logged in, you will be given a list of all the courses for which you are registered and which use Blackboard. The Blackboard site will be used for announcements and for student discussion.
- useful links
- useful FSU links

Here follow a few additional statements which by FSU rules have to be part of a syllabus (see http://facsenate.fsu.edu/Curriculum/Syllabus-Language.

Students with disabilities needing academic accommodations should:

(a) register with, and provide documentation to, the Student Disability Resource Center (SDRC); and

(b) bring a letter to the instructor indicating the need for accommodation and what type. This should be done during the first week of class.

For more information about services available to FSU students with disabilities, contact the: Student Disability Resource Center:

874 Traditions Way 108

Student Services Building

Florida State University

Tallahassee, FL 32306-4167

(850) 644-9566 (voice) (850) 644-8504 (TDD)

email , Resource Center's web site..

Students are expected to uphold the Academic Honor Code published in The Florida State University Bulletin and in the Student Handbook. The Academic Honor System of Florida State University is based on the premise that each student has the responsibility

- to uphold the highest standards of academic integrity in the student's own work,
- to refuse to tolerate violations of academic integrity in the University community, and
- to foster a high sense of integrity and social responsibility on the part of the University community.

and http://http://fda.fsu.edu/Academics/Academic-Honor-Policy.)

Excused absences include documented illness, deaths in the family and other documented crises, call to active military duty or jury duty, religious holy days, and official University activities. These absences will be accommodated in a way that does not arbitrarily penalize students who have a valid excuse. Consideration will also be given to students whose dependent children experience serious illness.

On-campus tutoring and writing assistance is available for many courses at Florida State University. For more information, visit the Academic Center for Excellence (ACE) Tutoring Services' comprehensive list of tutoring options - see http://ace.fsu.edu/tutoring or contact tutor@fsu.edu for more information. High-quality tutoring is available by appointment and on a walk-in basis. These services are offered by tutors trained to encourage the highest level of individual academic success while upholding personal academic integrity.

Except for changes that substantially affect implementation of the evaluation (grading) statement, this syllabus is a guide for the course and is subject to change with advance notice

Last Updated by HDW, 14 December 2015.