Week

Topics

1

Introduction, fundamental concepts and definitions, First order differential equations, Differential equations that are separated to their variables, Differential equations that can be separated to their variables, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

2

Linear differential equation, Bernoulli equation, Exact differential equations, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

3

Differential equation of Lagrange and Clairait. Problems of trajectories, Singular Solution, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

4

Higher order linear homogeneous differential equations, definitions, linear independent functions, Wronskian Determinant, Gramm Determinant, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

5

Solutions of the higher order linear nonhomogenous differential equations with constant coefficient by using selection method, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

6

Solutions of the higher order linear differential equations with constant coefficient by using superposition method, Problem of Cauchy, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

7

Solutions of the higher order linear differential equations with variable coefficient by using method of Lagrange, Euler Equation, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

8

Laplace transformations, Definitions, Properties, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

9

Applying Laplace transformation to the solution of the differential equations, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

10

Fundamental concepts and definitions of numerical series, Necessary condition for the convergence of numerical series, Comparisons of numerical series with positive terms, Rules of the convergence of numerical series, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

11

Series that are changing their sign in order, Series that are changing their sign, Functional series, Majorant series, Continuity of addition of series, Integrations of series, Differentials of series, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

12

Power series and convergence interval, Taylor series, Euler series, Binomal series, Review problems


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

13

Computations irrational number, Trigonometric and logarithmic functions, Definite integral, by using series, Fourier series


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY

14

General Assessment


Study Materials: Course Notes of Engineering Mathematics I/
Prof. Dr. Abdullah AVEY




















































































