Professor: Dr. Peter Nightingale
Semester: Fall
Credits: 3
Prerequisites: permission of chairperson.

Catalog Description: Topics designed to include applications in physics. Vector and tensor analysis; linear algebra; coordinate systems. Determinants, matrices; introductory group theory. Infinite series, complex analysis, analytic properties, conformal mapping, calculus of residues. Fourier analysis and Laplace transforms.

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

This course meets two times per week for lecture. Topic covered in this course include:

• Vector and Tensor Analysis
• Linear Algebra
• Coordinate Systems
• Determinants and Matrices
• Introductory Group Theory
• Infinite Series
• Complex Analysis
• Analytic Properties
• Conformal Mapping
• Calculus of Residues
• Fourier Analysis
• Laplace Transforms

Grades are based on the following criteria:

• Exams (3-4)
• Computational Project
• Final Exam

The mathematical methods presented in this course will enhance students' ability to solve numerical problems relating to physics. It is important for students to have knowledge of the various methods used in analysis, since medical physicists use sophisticated data analysis techniques.

http://mathworld.wolfram.com/ConformalMapping.html http://demonstrations.wolfram.com/XFT2DA2DFastFourierTransform/