PHY1101 Mathematical Physics I

This is an introductory course intended to give the student necessary mathematical tools for understanding concepts in physics. After a brief review of complex numbers, the student will be introduced to methods of solving linear equations, partial derivatives and their applications. Vector analysis will be introduced with special emphasis on applications. Line integrals, Green’s theorem in a plane, the divergence theorem, Gauss’ law and Stokes’ theorem will be studied. 

Course Objectives
By the end of this course, students should be able to:

• Manipulate and use complex numbers to solve problems
• Define elementary functions
• Use the concept of a limit of a function to derive the derivative of the function.
• Use determinants to solve linear equations
• Solve line and multiple integrals
• Solve second-order differential equations.

Expected Learning Outcomes
On completion, successful students will be able to:

• Write a complex number in polar form and determine roots of a complex number.
• Define and sketch graphs of elementary functions.
• Find derivatives of elementary functions
• Use determinants to solve linear equations
• Write and manipulate vectors in Cartesian coordinates
• Use Green’s theorem, the divergence theorem and Stokes’ theorem in solving line and multiple integrals
• Solve linear ordinary differential equations.