http://interval.louisiana.edu/courses/350/Math-350-syllabus.html

Syllabus for Math 350

Instructor: R. Baker Kearfott, Department of Mathematics, University of Louisiana at Lafayette
Office hours and telephone, Email: rbk@louisiana.edu.


There is not an official departmental syllabus, but there are certain topics that are expected to be covered in all sections.  With that in mind, this is a list of topics to be covered in this section.  This is a general guide that will be modified as appropriate as the class progresses;  the actual scheduling of topics will be flexible.  Section numbers are from Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, 10th edition.  Assignments from Wiley Plus will be announced in class.

This page may change throughout the semester.

  1.  1.1 Mathematical models and direction fields
  2.  1.2 Solutions to some differential equations
  3.  1.3 Classification of differential equations
  4.  2.1 Linear differential equations and integrating factors
  5.  2.2 Separable equations
  6.  2.3 Modeling with first-order equations
  7.  2.4 Differences  between linear and nonlinear equations
  8.  Exam
  9.  3.1 Homogeneous equations with constant coefficients
  10.  3.2 Linear independence and the general solution
  11.  3.3 Complex roots of the characteristic equation
  12.  3.4 Repeated roots
  13.  3.5 Non-homogeneous equations
  14.  3.7 Mechanical and electrical vibrations
  15.  3.8 Forced vibrations
  16.  4.1, 4.2, 4.3, and 4.4 Higher order equations (analogous to first-order equations)
  17.  Exam
  18.  5.1 Review of power series
  19.  5.2 Series solution near an ordinary point
  20.  5.3 (continuation)
  21.  Exam
  22.  6.1 The Laplace transform
  23.  6.2 Solution of initial value problems
  24.  6.3 Step functions
  25.  6.4 Discontinuous forcing functions
  26.  6.5 Impulse functions
  27.  Exam
  28.  7.1 Introduction to systems
  29.  7.2 Review of matrices
  30.  7.3 Linear independence, eigenvalues, and eigenvectors
  31.  7.5 Homogeneous linear systems
  32.  Exam
  33.  Review
  34.  Review