PHY 610 – Mathematical Methods in Physics II

Course Information

Professor: Dr. Peter Nightingale
Semester: Fall
Credits: 3
Prerequisites: PHY 510

Catalog Description: Topics designed to include applications in physics. Ordinary and partial differential equations; Sturm-Liouville theory. Numerical methods and computational techniques. Probability and statistics. Integral transforms. Integral equations; Green’s functions. Special functions of mathematical physics.

Course Goals & Outcomes

By the end of the semester students will be able to:

  • Use mathematical methods presented in this course to solve numerical physics problems
  • Strengthen their understanding of mathematical methods used in physics
Course Syllabus

This course meets for lecture. Topics covered in this course include:

  • Ordinary and Partial Difference Equations
  • Strum-Liouville Theory
  • Numerical Methods and Computational Techniques
  • Probability and Statistics
  • Integral Transforms
  • Integral Equations
  • Green’s Function
  • Special Functions of Mathematical Physics

Grades are based on the following criteria:

  • Exams (3-4)
  • Computational Project
  • Presentation on a student-selected numerical method
  • Final Exam
About the Professor
Reasons To Take This Course
A second semester of mathematical methods will further strengthen students’ ability to solve numerical problems with confidence. Again, it is important for students to have knowledge of the various methods used in analysis, since medical physicists use sophisticated data analysis techniques.
Cool Links

http://mathworld.wolfram.com/RandomWalk1-Dimensional.html
http://academicearth.org/lectures/monte-carlo-situations