
Lecture Description
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- The CosmoLearning Team
- The CosmoLearning Team
Course Index
- Getting Started with MATLAB
- Arrays & Matrix Operations in MATLAB
- Array Operations in MATLAB
- Loops in MATLAB
- Working With Files: Script & Functions
- Plotting and Output in MATLAB
- Errors in Numerical Computation
- Truncation and Roundoff Errors
- Round-Off Errors and Iterative Methods
- Step-wise Methods & Error Propagation
- Numerical Differentiation in MATLAB
- Higher Order Differentiation Formulae
- Partial Derivatives in MATLAB
- Numerical Integration in MATLAB
- Multiple Applications of Integration Formulae
- In Build MATLAB Integration Functions
- Basics of Linear Algebra
- Gauss Elimination and Back Substitution
- LU Decomposition and Partial Pivoting
- Gauss Siedel Method
- How to Solve Linear Equations
- Nonlinear Equations in Single Variable
- Using MATLAB command fzero
- Tri Diagonal Matrix Algorithm
- Fixed Point Iteration in Single Variable
- Newton Raphson Method
- Using MATLAB command fsolve
- Newton Raphson | Lorenz equation
- Overview of Regression and Interpolation
- Linear Least Squares Regression
- Nonlinear and Functional Regression
- Interpolation Functions in MATLAB
- Intro to Ordinary Differential Equations & Euler's Method
- Runge Kutta RK 2 method
- MATLAB ode45 Algorithm
- Higher Order Runge Kutta Methods
- Error Analysis
- Multi Variable ODE | Damped Mass-Spring System
- Stiff Systems & Solution using ode15s
- Method of Lines for transient PDEs
- Code to Compute Trajectory of a Cricket Ball | ODE-IVP
Course Description
MATLAB is a popular language for numerical computation. This course introduces students to MATLAB programming, and demonstrate it’s use for scientific computations. The basis of computational techniques are expounded through various coding examples and problems, and practical ways to use MATLAB will be discussed.
The objective of this course is to introduce undergraduate students to computational methods using MATLAB. At the end of this course, a student would:
- Learn basics of MATLAB programming
- Get introduced to numerical methods for engineering problems
- Will be able to use MATLAB to solve computational problems
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