Numerical Computation for Mechanical Engineers

Calendar

WEEK #	MATLAB® TOPICS	ASSESSMENTS
Unit I: (Numerical) Calculus—Interpolation, Integration, Differentiation
1	The MATLAB Environment
2	Syntax. Scripts	Mini Quiz 1: Nutshell: Interpolation
3	Single-Index Arrays. Plot	Mini Quiz 1 (cont.): Nutshell: Interpolation
Unit II: Probability; Statistical Estimation; Monte-Carlo Methods
4	Functions	Assignment 1 Due
5	Random Sampling (rand, randn, randi). Norminv and finv	Mini Quiz 2: Nutshell: Introduction to Probability and Statistics
6	Double-Index Arrays	Mini Quiz 3: Nutshell: Monte Carlo Methods
Unit III: (Numerical) Linear Algebra I—Matrices and Vectors, Least-Squares; Regression
7	Matrix and Vector Operations	Assignment 2 Due
8	(evil) inv. Backslash Operator (Least-Squares)	Mini Quiz 4: Nutshell: Matrices and Vectors
9		Mini Quiz 5: Nutshell: Least Squares Fitting of Models to Data
Unit IV: Numerical Ordinary Differential Equations (ODEs); Eigenproblems
10	Passing Functions (Handles). Anonymous Functions	Assignment 3 Due
11	ode45 and ode23s. eig.	Mini Quiz 6: Nutshell: Numerical ODEs.
Unit V: (Numerical) Linear Algebra II—Linear Systems; Nonlinear Systems
12	Sparse Matrix Operations	Assignment 4 Due Mini Quiz 6 (cont.): Nutshell: Numerical ODEs.
13	fsolve
14		Mini Quiz 7: Nutshell: Formulation of Linear Systems
15		Assignment 5 Due