• Number of Credits: 3
• Prerequisites: Mate 3152
• 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

• Vector differential calculus
  • Vectors
  • Inner and vector product
  • Gradient, divergence and curl
  • Exam 1
• Vector Integral Calculus
  • Line integrals
  • Green's theorem
  • Surface integrals, triple integrals
  • Divergence theorem and its applications
  • Stoke's Theorem
  • Exam 2
• Ordinary differential equations
  • First order equations
  • Exactness, integrating factors
  • Linear equations
  • Bernoulli equations
  • Second-order equations
  • Homogeneous equations
  • Euler-Cauchy equations
  • Wronskian
  • Non-homogeneous equations
  • Exam 3
• Linear algebra
  • Matrices
  • Matrix multiplication
  • Linear independence, vector space
  • Solutions of linear systems
  • Determinants
  • Inverse of a matrix
  • Eigenvalues, eigenvectors
  • Two-dimensional rotations
  • Symmetric, skew-symmetric and Orthogonal matrices
  • Diagonalization
  • Quadratic forms
  • Complex matrices
  • Exam 4

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INTEGRIDAD ACADEMICA
HOSTIGAMIENTO SEXUAL

Jose F Nieves