Computational Science and Engineering MIT (16.0002)

Welcome to your study guide on computational science and engineering! This guide will provide you with an in-depth understanding of the key concepts and techniques used in this field.

Second-Order Differential Equations, Damped Oscillations, RLC Circuit, and Laplace Transform.

Finite Element Method, 1D, 2D, Triangulation, Fourier Transform, and Examples.

Applications of Fourier Transform, Heat Equation, Discrete Transform, and Course Summary.

Oscillations, complex vectors, complex oscillatory methods, and applications of Newton's laws on vectors.

Introduction to matrices, their properties and vectors.

Differential Equations, Eigenvalues and functions that can be operated on matrices.

Introduction to matrices and the computational behaviours associated with matrices.

Multi-Dimensional Differentiation, Multi-Dimensional Integration, Divergence Theorem, Stokes' Theorem, and Fourier Series.