There will be 29 lectures given by the instructors, each lasting 2 class hours.
The section numbers below are from the textbook, Elementary Differential Equations and Boundary Value Problems by Boyce and DiPrima. The actual timing of the lectures may differ slightly from section to section because of the holidays, but the total number will be the same.
| Lecture 1 | Introduction Direction Fields |
| Lecture 2 |
§ 2.1 Linear equations with variable coefficients § 2.2 Separable equations, homogeneous equations |
| Lecture 3 |
§ 2.3, 2.5 Modeling with first order equations (tank problems, populations growth problems) |
| Lecture 4 | § 2.4 Differences between linear and nonlinear equations |
| Lecture 5 | § 2.6 Exact equations and integrating factors |
| Lecture 6 |
§ 3.1 Homogeneous equations with constant coefficients § 3.2 Fundamental solutions of linear homogeneous equations |
| Lecture 7 |
§ 3.3 Linear independence and the Wronskian § 3.4 Complex roots and the characteristic equation |
| Lecture 8 |
§ 3.5 Repeated roots; reduction of order § 3.6 Nonhomogeneous equations; method of undetermined coefficients (Part I) |
| Lecture 9 |
§ 3.6 Nonhomogeneous equations; method of undetermined coefficients (Part II) § 3.7 Variation of parameters |
| October 29 Holiday (Cumhuriyet Bayramı) | |
| Lecture 10 |
§ 3.8 Mechanical and electrical vibrations
§ 3.9 Forced vibrations |
| Exam 1: Thursday, November 5, 17:40 | |
| Lecture 11 |
§ 4.1 General theory of n |
| Lecture 12 | § 4.3 The method of undetermined coefficients |
| Lecture 13 | § 6.1 Definition of the Laplace Transform |
| Lecture 14 | § 6.2 Solution of initial value problems |
| Lecture 15 |
§ 6.3 Step functions § 6.4 Differential equations with discontinuous forcing functions |
| Lecture 16 |
§ 6.5 Impulse functions § 6.6 The convolution integral |
| November 27-30 Holiday (Kurban Bayramı) | |
| Lecture 17 |
§ 5.1 Review of power series § 5.2 Series solution near an ordinary point (Part I) |
| Lecture 18 | § 5.3 Series solution near an ordinary point (Part II) |
| Lecture 19 |
§ 7.1 Introduction to linear systems
§ 7.2 Review of matrices |
| Exam 2: Thursday, December 10, 17:40 | |
| Lecture 20 |
§ 7.3 Systems of linear algebraic equations Linear independence, eigenvalues, eigenvectors § 7.4 Basic theory of systems of first order linear equations |
| Lecture 21 | § 7.5 Homogeneous linear systems with constant coefficients |
| Lecture 22 | § 7.6 Complex eigenvalues |
| Lecture 23 | § 7.8 Repeated eigenvalues |
| Lecture 24 |
§ 7.7 Fundamental matrices § 7.9 Nonhomogeneous linear systems (variation of parameters only) |
| Lecture 25 | § 10.1 Two point boundary value problems |
| Lecture 26 |
§ 10.2 Fourier series § 10.3 The Fourier convergence theorem |
| Lecture 27 | § 10.4 Even and odd functions |
| Lecture 28 | § 10.5 Separation of variables, heat conduction in a rod |
| Lecture 29 | § 10.6 Other heat conduction problems |