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 (February 21 - 25)
  Introduction; Direction fields;
  2.1 Linear equations with variable coefficients.
  2.2 Separable equations, homogenous equations;
• Week 2 (February 21 - March 4)
  2.3 Modeling with first order equations (parts of).
  2.4 Differences between linear and nonlinear equations;
  2.6 Exact equations and integrating factors;
• Week 3 (March 7 - 11)
  3.1 Homogeneous equations with constant coefficients;
  3.2 Fundamental solutions of linear homogeneous equations
  3.3 Linear independence and the Wronskian;
• Week 4 (March 14 - 18)
  3.4 Complex roots and the characteristic equation;
  3.5 Repeated roots; reduction of order;
• Week 5 (March 21 - 25)
  3.6 Nonhomogeneous equations; method of undetermined coefficients.
  3.7 Variation of parameters;
  3.8 Mechanical and Electrical Vibrations;
  3.9 Forced Vibrations.
• Week 6 (March 28 - April 1)
  4.1 General theory of n^th order linear equations;
  4.2 Homogeneous equations with constant coefficients;
  4.3 The method of undetermined coefficients.
• MIDTERM EXAM: Sunday, April 2, 10:00-12:00
        Rooms: SZ-23, 24, 25
• Week 7 (April 4 - 8)
  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 8 (April 11 - 15)
  6.5 Impulse functions;
  6.6 The convolution integral
  7.1 Introduction to Linear Systems;
  7.2 Review of matrices;
• Week 9 (April 18 - 22)
  7.3 Systems of linear algebraic equations: Linear independence, eigenvalues, eigenvectors
• Week 10 (April 25 - 29)
  7.5 Homogeneous linear systems with constant coefficients;
  7.4 Basic theory of systems of first order linear equations
• Week 11 (May 2 - 6)
  7.6 Complex eigenvalues;
  7.7 Fundamental matrices
• Week 12 (May 9 - 13)
  7.8 Repeated eigenvalues, Jordan form of a matrix;
  7.9 Nonhomogeneous linear systems (Variation of parameters)
• Week 13 (May 16 - 20)
  10.1 Two point boundary value problems;
  10.2 Fourier series;
  10.3 The Fourier convergence theorem
• Week 14 (May 23 - 27)
  10.4 Even and odd functions;
  10.5 Separation of variables, heat conduction in a rod;