This page is for archival purposes only!
Students should use ODTU-Class

There will be 28 lectures given by the instructors, each lasting 2 class hours. The actual timing of lectures may differ slightly from section to section because of university holidays, but the total number is the same for all sections.

The table below is a rough guideline for the content of course lectures. Professors may reorder their lectures as necessary/desired. Section and page numbers below are from the textbook, Elementary Differential Equations and Boundary Value Problems, Boyce and DiPrima, 9^th ed., 2010.

Exam dates will be determined by the administration and are currently only approximate guesses.

• Week 1
  Introduction; Direction fields;
  2.1 Linear equations with variable coefficients.
  2.2 Separable equations, homogenous equations;
  2.3 Modeling with first order equations (parts of).
  2.4 Differences between linear and nonlinear equations;
  2.6 Exact equations and integrating factors;
  3.1 Homogeneous equations with constant coefficients;
• Week 2
  3.2 Fundamental solutions of linear homogeneous equations
  3.3 Linear independence and the Wronskian;
  3.4 Complex roots and the characteristic equation;
  3.5 Repeated roots; reduction of order;
  3.6 Nonhomogeneous equations; method of undetermined coefficients.
  3.7 Variation of parameters;
  3.8 Mechanical and Electrical Vibrations;
  3.9 Forced Vibrations.
• Week 3
  4.1 General theory of n^th order linear equations;
  4.2 Homogeneous equations with constant coefficients;
  4.3 The method of undetermined coefficients.
  6.1 Definition of the Laplace transform;
  6.2 Solution of initial value problems;
  6.3 Step functions
  6.4 Differential equations with discontinuous forcing functions;
• Week 4
  6.5 Impulse functions;
  6.6 The convolution integral
  7.1 Introduction to Linear Systems;
  7.2 Review of matrices;
  7.3 Systems of linear algebraic equations: Linear independence, eigenvalues, eigenvectors
  7.5 Homogeneous linear systems with constant coefficients;
• Week 5
  7.4 Basic theory of systems of first order linear equations
  7.6 Complex eigenvalues;
  7.7 Fundamental matrices
  7.8 Repeated eigenvalues, Jordan form of a matrix;
  7.9 Nonhomogeneous linear systems (Variation of parameters)
• Week 6
  10.1 Two point boundary value problems;
  10.2 Fourier series;
  10.3 The Fourier convergence theorem
  10.4 Even and odd functions;
  10.5 Separation of variables, heat conduction in a rod;