• Number of Credits: 3
• Pre-requisites: Phys 4031
• Co-requisites: Mate 3153
• Marcelo R. Ubriaco
• Office: C-318 (ext 88424)
  University of Puerto Rico - Rio Piedras Campus
  Department of Physics

Text

Advanced Engineering Mathematics, Erwin Kreyszig, (Wiley) 9th Edition

Minimum Required Facilities

• Traditional lecture room

Instructional Strategy

• Lectures

Grading

• Grading is based on four exams, with each exam having a 25% weight. Problems in the exams will be based on examples done in the class, suggested problems, and exercises given throughout the course.

Description

This is the first part of the introductory course on Mathematical Physics for undergraduate Physics students.

Objectives

After completing this course the student will have a good background to understand the mathematical formalism required in more advanced physics courses.

Contents

• Fourier Series and transforms
  • Functions of arbitrary period
  • Even and odd functions
  • Complex Fourier series
  • Fourier integrals
• Complex analysis
  • Complex numbers
  • Analytic functions
  • Cauchy-Riemann equations
  • Exponential, trigonometric and hyperbolic functions
  • Logarithm
• Complex Integration
  • Line integrals
  • Cauchy's integral Theorem
  • Cauchy's integral formula
  • Derivative of analytic functions
• Power series
  • Convergence tests
  • Functions given by a power series
  • Taylor series
• Laurent series, Residue integrations
  • Laurent series
  • Singularities and zeros
  • Residue integration method
  • Residue integration of real integrals

RIGHTS OF STUDENTS WITH DISABILITIES
ACOMODO RAZONABLE
INTEGRIDAD ACADEMICA
HOSTIGAMIENTO SEXUAL

Jose F Nieves