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, 9th ed., 2010.
Exam dates will be determined by the administration and are currently only approximate guesses.
|
Sep.24- Sep.30 |
1 |
Chapter 1. Introduction
§ 1.3 Classifications of differential equations -- p19 § 1.1 Some basic mathematical models; Direction fields -- p1 (optional: some of Euler's method § 2.7) |
| 2 |
Chapter 2. First Order Differential Equations
§ 2.2 Separable equations -- p42 (also Homogeneous Equations -- see Exercise 30 on p49) § 2.1 Linear equations; Method of integrating factors -- p31 |
|
| Oct.1-7 | 3 |
More examples of separable and linear equations (§ 2.2 and § 2.1) § 2.3 Modeling with First Order Equations -- p50 (tank problems) |
| 4 |
§ 2.4 Differences between linear and nonlinear equations -- p68 (existence and uniqueness theorems) § 2.5 Autonomous Equations and Population Dynamics -- p78 (equilibrium solutions of autonomous equations) |
|
| Oct.8-14 | 5 | § 2.6 Exact equations and integrating factors -- p94 |
| 6 |
Chapter 3. Second Order Linear Equations
§ 3.2 Solutions of linear homogeneous equations; The Wronskian -- p145 § 3.1 Homogeneous equations with constant coefficients -- p137 |
|
| Oct.15-21 | 7 |
§ 3.3 Complex roots and the characteristic equation -- p157 § 3.4 Repeated roots; Reduction of order -- p166 |
| 8 |
§ 3.4 Repeated roots; Reduction of order (continued) § 3.5 Nonhomogeneous equations; Method of undetermined coefficients -- p174 |
|
| Oct.22-28 | 9 |
§ 3.5 Undetermined coefficients (continued) § 3.6 Variation of parameters -- p185 |
| 10 |
§ 3.7 Mechanical and electrical vibrations -- p191 § 3.8 Forced vibrations (briefly) -- p206 |
|
| October 29 Holiday (Cumhuriyet Bayramı) | ||
| Nov.1-5 | 11 |
Chapter 4. Higher Order Linear Equations
§ 4.1 General theory of n§ 4.2 Homogeneous equations with constant coefficients -- p226 § 4.3 The method of undetermined coefficients -- p234 (reading assignment) |
| 12 |
Chapter 6. The Laplace Transform
§ 6.1 Definition of the Laplace Transform -- p305
|
|
| EXAM 1: Saturday, November 6 at 14:00 Exam Rooms: SZ-22, SZ-23, SZ-24, SZ-25 |
||
| Nov.8-12 | 13 | § 6.2 Solution of initial value problems -- p312 |
| 14 |
§ 6.3 Step functions -- p323 § 6.4 Differential equations with discontinuous forcing functions -- p331 |
|
| November 15-19 Holiday (Kurban Bayramı) | ||
| Nov.22-26 | 15 |
§ 6.5 Impulse functions -- p339 § 6.6 The convolution integral -- p345 |
| 16 |
Chapter 5. Series Solutions of Second Order Linear Equations
§ 5.1 Review of power series -- p243 § 5.2 Series solution near an ordinary point (Part I) -- p250 |
|
|
Nov.29- Dec.3 |
17 |
§ 5.2 Series solution near an ordinary point (Part I) (cont) § 5.3 Series solution near an ordinary point (Part II) -- p261 |
| 18 |
Chapter 7. Systems of First Order Linear Equations
§ 7.1 Introduction to linear systems -- p355 § 7.2 Review of matrices -- p364 |
|
| Dec.6-10 | 19 |
§ 7.3 Linear algebraic equations; Linear independence, eigenvalues, eigenvectors -- p373 |
| 20 | § 7.5 Homogeneous linear systems with constant coefficients -- p390 | |
| Dec.13-17 | 21 | § 7.4 Basic theory of systems of first order linear equations -- p385 |
| 22 |
§ 7.6 Complex eigenvalues -- p401 § 7.7 Fundamental matrices -- p413 |
|
| EXAM 2: Saturday, December 18 at 14:00 Exam Rooms: SZ-22, SZ-23, SZ-24, SZ-25 |
||
| Dec.20-24 | 23 |
§ 7.8 Repeated eigenvalues -- p422 § 7.9 Nonhomogeneous linear systems -- p432 (variation of parameters only) |
| 24 |
Chapter 10. Partial Differential Equations and Fourier Series
Introduction to the Heat Equation (parts of § 10.A and § 10.5) § 10.1 Two point boundary value problems -- p577 |
|
| Dec.27-31 | 25 |
§ 10.2 Fourier series -- p584 § 10.3 The Fourier convergence theorem (briefly) -- p595 |
| 26 | § 10.4 Even and odd functions -- p602 | |
| Jan.3-7 | 27 | § 10.5 Separation of variables, heat conduction in a rod -- p611 |
| 28 | § 10.5 Separation of variables, heat conduction in a rod (continued) | |
| FINAL EXAM: Monday, January 17 at 16:30 | ||