1.Introduction to Different Equation
(a) Definition and Terminology
(b) Initial-Value Problem
(c) Differential equipment as mathematical Models
2.First-Order Differential Equations
(a) Separable Variables
(b) Linear equation(integral factor)
(c) Exact equation
(d) Solution by substitutions
(e) Linear Models
3.High-Order Differential Equations
(a) Linear equation
(b) Reduction of order
(c) Homogenous equation with constant coefficient
(d) Undetermined coefficient
(e) Variation of parameters
(f) Cuachy-Euler equation
(g) Linear models- with initial value problem
(h) Linear models- with boundary value problem
Midterm test
4.The Laplace Transform
(a) Definition
(b) The inverse transform
(c) ranslation Theorems
(d) Additional operational properties
(e) Dirac Delta function
5.Vectors
(a) Vector in 2-D space
(b) Vector in 3-D space
(c) The Dot product
(d) The Cross product
(e) Vector Space
Final test

1.Introduction to Different Equation
(a) Definition and Terminology
(b) Initial-Value Problem
(c) Differential equipment as mathematical Models
2.First-Order Differential Equations
(a) Separable Variables
(b) Linear equation(integral factor)
(c) Exact equation
(d) Solution by substitutions
(e) Linear Models
3.High-Order Differential Equations
(a) Linear equation
(b) Reduction of order
(c) Homogenous equation with constant coefficient
(d) Undetermined coefficient
(e) Variation of parameters
(f) Cuachy-Euler equation
(g) Linear models- with initial value problem
(h) Linear models- with boundary value problem
Midterm test
4.The Laplace Transform
(a) Definition
(b) The inverse transform
(c) ranslation Theorems
(d) Additional operational properties
(e) Dirac Delta function
5.Vectors
(a) Vector in 2-D space
(b) Vector in 3-D space
(c) The Dot product
(d) The Cross product
(e) Vector Space
Final test

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