Learning Outcomes |
PO |
MME |
The students who succeeded in this course: |
|
|
LO-1 |
Be able to create mathematical models for a variety of problems. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-3 An ability to design field experiments, as well as analyze and interpret data.
|
Examination |
LO-2 |
Be able to solve the model using analytical, qualitative and partically some numerical methods. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-6 An ability to interpret the processed data by using multidisciplinary approach. PO-8 Have the students gain knowledge in site investigation of the environmental and archaeological problems, and designing solutions to the engineering problems in terms of natural hazard risk assessments in particular infrastructure needs of the society.
|
Examination |
LO-3 |
Be able to interpret the solution whithin the concept of the phenomenon being modelled. |
PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems. PO-3 An ability to design field experiments, as well as analyze and interpret data.
|
Examination |
PO: Programme Outcomes MME:Method of measurement & Evaluation |
Course Contents |
Classification of ordinary differential equations, degree and order. Methods of solution of differential equations, series solutions, the second order and higher order differential equations with constant coefficients. Partial differential equations, classification, solution methods: separation of variables, Laplace transform and the series name, and the high-order partial differential equations. |
Weekly Course Content |
Week |
Subject |
Learning Activities and Teaching Methods |
1 |
Classification of ordinary differential equations |
Problem solving method |
2 |
Order and degree |
Problem solving method |
3 |
Methods of solution of differential equations, series solutions |
Problem solving method |
4 |
Methods of solution of differential equations, series solutions |
Problem solving method |
5 |
Second Order with order with constant coefficients differential equations and higher order differential equations |
Problem solving method |
6 |
Second order with constant coefficients differential equations and higher order differential equations |
Problem solving method |
7 |
Second order with constant coefficients differential equations and higher order differential equations |
Problem solving method |
8 |
mid-term exam |
|
9 |
Partial differential equations and their classification |
Problem solving method |
10 |
Partial differential equations and their classification |
Problem solving method |
11 |
Solution methods, separation of variables |
Problem solving method |
12 |
Solution methods, separation of variables |
Problem solving method |
13 |
Laplace transform |
Problem solving method |
14 |
Laplace transform |
Problem solving method |
15 |
Ordinary, higher order partial differential equations and solutions of series |
Problem solving method |
16 |
final exam |
|
Recommend Course Book / Supplementary Book/Reading |
1 |
S.L. Ross, Differential Equations, John Wiley and Sons, London, 1974. |
2 |
G.F. Simmons, Differential Equations, Tota McGraw-Hill Publishing Company LTD., New Delhi, 1989. |
3 |
R.Bronson, Differential Equations, McGraw-Hill Book Company, 1973. |
Required Course instruments and materials |
None |