Get up to $1,000 in flight credits or grants toward study or internship programs abroad when you apply by September 12, 2024. See our Official Rules for full details.
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Mathematics
Instruction in: English
Course Code: 15975
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 3
Contact Hours: 42
Prerequisites: Calculus, Linear Algebra.
DESCRIPTION
1.- First order differential equations: a. Linear equations. b. Separable equations. c. Exact equations. d. Homogeneous equations. e. Qualitative analysis of equations. 2.- Second order differential equations. a. Nonlinear and linear equations. b. Homogeneous and non-homogeneous Linear Equations. c. Reduction of Order. d. Euler-Cauchy Equations. 3.- Laplace transformations: a. Definition. b. Application to differential equations. c. Convolution. 4.- Systems of differential equations: a. Linear and Nonlinear Systems. b. Vector representation. c. Eigenvalues and linearization. 5. Fourier series and separation of variables: a. Basic results. b. Fourier Sine and Cosine Series. c. Applications of Fourier series to differential equations. 6.- Numerical methods: a. Euler method. b. Runge-Kutta method. c. Solution of boundary value problems.
Get a Flight Credit worth up to $1,000 when you apply with code* by September 12, 2024