Advanced Engineering Mathematics

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Class notes

Lecture 1 - Differential Equations
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5

August 2018

2017/2018
Lecture notes from MA 3502 at Milwaukee School of Engineering University. Provides examples of simple differential equations involving population and spring/mass problems.
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Class notes

Lecture 2 - Separable Differential Equations
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4

August 2018

2017/2018
Lecture from MA 3502 Differential Equations at Milwaukee School of Engineering University. Provides examples of separable first-order differential equations.
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Class notes

Lecture 3 - Non Separable Differential Equations
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2

August 2018

2017/2018
Lecture notes of MA 3502 Differential Equations at Milwaukee School of Engineering University. Provides examples with an integrating factor.
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Class notes

Spring mass system
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3

May 2018

2017/2018
Application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution...
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Class notes

How to solve homogeneous ordinary deferential equations having constant coefficients
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3

May 2018

2017/2018
Application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution...
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Class notes

Test 2 review
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3

May 2018

2017/2018
differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution of a linear system of equations via Gauss elimination and Cramer’s rule; rank, determinant, and inverse of a m...
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Class notes

How to solve a homogeneous ordinary deferential equations having constant coefficients continued
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3

May 2018

2017/2018
Application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution...
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Class notes

Reduction of order
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3

May 2018

2017/2018
Application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution...
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Class notes

Deferential equations as mathematical modelsequations as mathematical models
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3

May 2018

2017/2018
Application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution...
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Class notes

Test 2 review continued
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3

May 2018

2017/2018
Application of mathematical principles to the analysis of engineering problems using linear algebra and ordinary differential equations (ODE’s). Topics include: mathematical modeling of engineering problems; separable ODE’s; first-, second-, and higher-order linear constant coefficient ODE’s; characteristic equation of an ODE; non-homogeneous equations; Laplace transforms; shifting theorems; convolution; solution of an ODE via Laplace transform; matrix addition and multiplication; solution...
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