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Mathematics Extension
Engineering & Social Sciences Program
Madrid, Spain
Dates: 1/18/24 - 6/5/24
Mathematics Extension
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Engineering
Instruction in: English
Course Code: 19085
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 42
Prerequisites: Calculus, Linear Algebra
DESCRIPTION
1. Introduction. Models and basic types of differential equations.
2. First order ordinary differential equations. Strategies for finding solutions.
3. Higher order ordinary differential equations. Solution methods and aspects of non linear equations and stability.
4. Laplace transform: solution of ordinary differential equations and systems of differential equations with constant coeficients.
5. Partial differential equations in Mathematical Physics. Wave equations, heat equations and Laplace equations. Boundary and initial value problems.
6. Methods of resolution of partial differential equations, in particular the method of separation variables. Applications of Fourier series to solve differential equations.
2. First order ordinary differential equations. Strategies for finding solutions.
3. Higher order ordinary differential equations. Solution methods and aspects of non linear equations and stability.
4. Laplace transform: solution of ordinary differential equations and systems of differential equations with constant coeficients.
5. Partial differential equations in Mathematical Physics. Wave equations, heat equations and Laplace equations. Boundary and initial value problems.
6. Methods of resolution of partial differential equations, in particular the method of separation variables. Applications of Fourier series to solve differential equations.