Course Contents |
General differential equations. Simple first-order and higher order ordinary differential equations. Full differential denklemler.Uygun with an integrating factor in the full equations. From the first higher-order equations can be solved easily. First-order and higher order differential equations with simple mechanics (Newtons law of motion), geometry (curved and straight trajectories dif families. Coincide.), Construction engineering (hanging cables, bending of beams) applications. Literal (constant) coefficient differential equations. Homogeneous solution, How to find the specific solution? Variation of Parameters Method. Operators Method. Equations with variable coefficients, Eulers Equation. Systems of differential equations. With the help of the series solution of differential equations.
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Weekly Course Content |
Week |
Subject |
Learning Activities and Teaching Methods |
1 |
General differential equations |
Explaining, Question-answer, Problem Solving, Practice |
2 |
Simple first-order and higher order ordinary differential equations. |
Explaining, Question-answer, Problem Solving, Practice |
3 |
Exact differential equations. |
Explaining, Question-answer, Problem Solving, Practice |
4 |
With the exact equations in an appropriate integrating factor. |
Explaining, Question-answer, Problem Solving, Practice |
5 |
From the first higher-order equations can be solved easily. |
Explaining, Question-answer, Problem Solving, Practice |
6 |
First-order and higher order differential equations with simple mechanics (Newton s law of motion), geometry (curved and straight trajectories dif families. Coincide.), Construction engineering (hanging cables, bending of beams) applications. |
Explaining, Question-answer, Problem Solving, Practice |
7 |
Literal (constant) coefficient differential equations. |
Explaining, Question-answer, Problem Solving, Practice |
8 |
mid-term exam |
|
9 |
Homogeneous solution, How to find the specific solution? |
Explaining, Question-answer, Problem Solving, Practice |
10 |
Variation of Parameters. |
Explaining, Question-answer, Problem Solving, Practice |
11 |
Operators Method |
Explaining, Question-answer, Problem Solving, Practice |
12 |
Equations with variable coefficients, Euler Equation |
Explaining, Question-answer, Problem Solving, Practice |
13 |
Systems of differential equations. |
Explaining, Question-answer, Problem Solving, Practice |
14 |
With the help of the series solution of differential equations. |
Explaining, Question-answer, Problem Solving, Practice |
15 |
With the help of the series solution of differential equations II |
Explaining, Question-answer, Problem Solving, Practice |
16 |
final exam |
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Recommend Course Book / Supplementary Book/Reading |
1 |
Professor. Dr. Murray Spiegel, Differential Equations, Applications, and Solution Technique, trans: Selahattin Pekol, Atakan Demirseren, Caglayan Bookstore, 1975. [2] Professor. Dr. Ahmet Dernek, Dr. A. Nese Dernek, Differential Equations, Birsen Publica |
Required Course instruments and materials |
Professor. Dr. Murray Spiegel, Differential Equations, Applications, and Solution Technique, trans: Selahattin Pekol, Atakan Demirseren, Caglayan Bookstore, 1975. [2] Professor. Dr. Ahmet Dernek, Dr. A. Nese Dernek, Differential Equations, Birsen Publications, 2001. [3] SL Ross, Differential Equations, New York: Wiley, 1984. |