MATLAB Programming for Numerical Computation

MATLAB Programming for Numerical Computation

@VTU COE

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What you will learn

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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:

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Week-01 Plan
Preview 04:10
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Basics of Programming using MATLAB
Preview 20:00
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Array Operations in MATLAB
Preview 24:20
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Tutorial: Using Arrays
Preview 21:02
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For Loops and Array Indexing in MATLAB
Preview 22:03
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Cell Arrays and Structures in MATLAB
Preview 16:23
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Bonus - Mixed_Data_Types
Preview 13:21
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Plotting and Output
Preview 26:38

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Week-02 Plan
Preview 02:21
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Loops and Execution Control
Preview 17:42
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MATLAB Files -- Scripts and Functions
Preview 23:34
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Parameter struct in MATLAB
Preview 17:41
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Good Practices in MATLAB Functions
Preview 18:22
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Good Practices in MATLAB Functions (Part-2)
Preview 10:23
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Debugging MATLAB Code
Preview 09:16

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Errors in Numerical Computation
Preview 17:13
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Truncation Errors and Taylors Series
Preview 18:40
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Round-Off Errors; and Iterative Methods
Preview 23:39
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Step-wise Methods and Error Propagation
Preview 19:49

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Basics of Linear Algebra
Preview 21:01
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Gauss Elimination and Back-Substitution
Preview 21:38
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LU Decomposition and Partial Pivoting
Preview 18:38
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Gauss Siedel Method
Preview 16:31
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(Tutorial)
Preview 09:54
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Tri-Diagonal Matrix Algorithm
Preview 22:46

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Nonlinear Equations in Single Variable
Preview 21:47
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Using MATLAB command fzero
Preview 17:44
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Fixed Point Iteration in Single Variable
Preview 19:13
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Newton-Raphson (single variable)
Preview 16:34
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Using MATLAB command fsolve (multi-variable)
Preview 17:03
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Newton-Raphson (multi Variable)
Preview 17:00

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Week-06 Plan
Preview 03:35
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Differentiation in Single Variable
Preview 18:39
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Higher Order Differentiation Formulae
Preview 16:26
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Partial Differentials (Bonus)
Preview 20:40
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Numerical Integration
Preview 17:38
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Multiple Applications of Integration Formulae
Preview 17:34
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In-Build MATLAB Integration Functions
Preview 16:44

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Introduction and Euler's Method
Preview 22:27
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Runge-Kutta (RK-2) method
Preview 15:54
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MATLAB ode45 algorithm
Preview 16:40
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Higher order Runge-Kutta Methods
Preview 16:11
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Error Analysis
Preview 19:03

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Multi-Variable ODE
Preview 18:45
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Stiff Systems & Solution using ode15s
Preview 20:18
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ODE-IVP - Practical Aspects
Preview 16:16
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A Final Example for ODE-IVP
Preview 16:07

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Week-09 Plan
Preview 02:24
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Introduction
Preview 13:46
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Linear Least Squares Regression
Preview 17:27
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Nonlinear and Functional Regression
Preview 21:29
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Interpolation Functions in MATLAB
Preview 19:09
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Tutorial: How to do linear and nonlinear regression
Preview 08:52

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ODE-BVP: Introduction and Solution using MATLAB Solver
Preview 28:18
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ODE-BVP: Solution using Finite Difference
Preview 18:07
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ODE-BVP: Shooting Method
Preview 15:58
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Extensions to ODE-BVP
Preview 17:00

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Bonus Material for Week 10
Preview 02:54
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Differential Algebraic Equations
Preview 20:45
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DAEs: Solution using MATLAB
Preview 12:32
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DAEs: Recap and Extensions
Preview 14:47

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PDE Solution Approaches
Preview 08:03
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Partial Differential Equations (PDEs)
Preview 13:14
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Method of Lines for Transient Parabolic PDEs
Preview 15:29
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Method of Lines for Hyperbolic PDEs
Preview 28:09
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Bonus: Finite Differences for Solving Transient PDEs
Preview 14:15
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Bonus: Solving Elliptic PDEs
Preview 08:11
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Meet Your Instructor
@VTU COE
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Instructor
3.2 Rating
2542 Students
759 Courses
About Instructor

VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.

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Free

  • Course Duration
    18 h 44 m 39 s
  • Course Level
    Advanced
  • Student Enrolled
    0
  • Language
    English
This Course Includes
  • 18 h 44 m 39 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion