MATLAB and Simulink for Science and Engineering Computations

Name: MATLAB and Simulink for Science and Engineering Computations
Rating: 3.9 (48 reviews)

Learn to use MATLAB and Simulink for Simulation and other science and engineering computations. Make Life easier.

Created byAnthony Nwachukwu

Last updated 10/2018

English

What you'll learn

Install and activate MATLAB successfully
Perform Arithmetic and Algebraic operations with MATLAB
Make both 2-D and 3-D plots, add annotations, Greek letters, saving your plots on several formats like fig, png, epsc etc, and make your plots look like those found on research papers
Solve Calculus Problems like Z transforms, Laplace transforms, Fourier transforms, Taylor and Maclaurin's series expansion, Limits, Left and Right hand limits, symbolic summation etc with Matlab
Perform formula manipulation and simplification, factorization and expansion with Matlab
Perform arithmetic operations on Real and Complex numbers
Perform analytic and numerical differentiation and integration
Find solutions to ODE problems including Systems of ODEs both analytically and numerically with Matlab
Perform the following operations on Polynomials: find polynomial roots, integrate and differentiate polynomials, polynomial curve fitting etc
Solve matrix and vector problems with Matlab like generating special matrices, inverse, rank, reduced echelon, transpose, LU factorization, eigen values and vectors, diagonization, orthogonal, norm, determinant, concatenation and several matrix operations
Discrete maths problem like finding gcd, lcm, permutation, combination, prime factors and numbers and factorial of numbers
Build simulation models with MATLAB Simulink
Control start and stop time of the simulation.
Use Vectors in MATLAB Simulink
Take variables from MATLAB Workspace while simulating
Exchange Signals between Simulink and MATLAB
Run simulation From M-File
Create Subsystems
Use the Model Explorer
Extract Models from Simulink into MATLAB

Course content

9 sections • 71 lectures • 10h 12m total length

Welcome To Our Class6:30
By the end of this lecture, you should have understood the scope of the course, the available resources, how to complete the practice tests, coding challenges and projects successfully and access external resources.
Brief introduction to Matlab2:33
By the end of this lecture you should be able to discuss the origin of Matlab and the various areas where Matlab finds applications.
MATLAB Installation5:22
By the end of this lecture you should be able to install Matlab without internet connection
MATLAB Activation1:48
By the end of this lecture you should be able to activate Matlab without internet connection.

Understanding And Navigating Matlab Desktop6:20
By the end of this lecture you should be able to do the following:
Explain the uses of the various Matlab windows.
Navigate round these windows with ease.
Enter and run simple Matlab commands.
Understand the work of semicolon on the command window display
Controlling the appearance of floating point number7:16
By the end of this lecture you should be able to use the various formatting commands to control how your answers are displayed on the command window.
Managing the workspace and command window9:58
By the end of this lecture you should be able to do the following:
Use the various Matlab commands to make your workspace and command window neat.
Understand how and where to find help in Matlab.
Abort running command and use the line continuation command.

Operations involving real numbers9:30
By the end of this lecture you should be able to do the following:
Use Matlab's constant values in computations.
Use Matlab predefined functions in computations.
Use the various arithmetic operators available in Matlab for computations.
Perform operations following the operation precedence rules.
Operations involving complex numbers8:43
By the end of this lecture you should be able to do the following:
Add, subtract, multiply and divide complex numbers.
Extract imaginary and real part of complex number.
Create complex array and complex conjugate.
Find complex magnitude and phase angle.
Using variables and simplification in MATLAB9:09
By the end of this lecture you should be able to:
Work with text and characters.
Work with variables in Matlab.
Convert numbers to strings and vice versa.
Simplify expressions.
Representation and Evaluation of Polynomials7:47
By the end of this lecture you should be able to:
Represent a polynomial as a vector in MATLAB.
Evaluate the polynomial at points of interest.
Roots of Polynomials10:22
By the end of this lecture you should be able calculate the roots of a polynomial using these methods:
Numeric roots.
Roots using substitution.
Roots in a specific interval
Symbolic roots.
Integration and Differentiation of Polynomials7:37
By the end of this lecture you should be able to:
Analytically integrate any polynomial represented by a vector of coefficients.
Analytically differentiate any polynomial represented by a vector of coefficients.
Polynomial Curve Fitting6:01
By the end of this lecture you should be able to fit a polynomial curve to a set of data
More on Polynomial10:33
By the end of this lecture you should be able to:
Factorize polynomial expressions.
Expand expressions.
Find the solutions univariate and multivariate equations.
Find the solutions of systems of multivariate equations.
Discrete Mathematics8:05
By the end of this lecture you should be able to compute:
Greatest common divisor
Least common multiple
All possible permutations
Binomial coefficient or all combinations
Prime factors of a number
Prime numbers less than or equal to input value
Determine which array elements are prime

Matrix basics9:52
By the end of this lecture you would have mastered the following:
The various ways of entering matrices and vectors on Matlab interface.
How to extract an entering at a particular position in a matrix or vector.
Changing element in a particular index.
Finding the size of a Matrix.
Matrix generators9:25
By end of this lecture you will be able to:
Create Matrix of Zeros.
Create Matrix of Ones.
Create Matrix of ones on the diagonal and zeros elsewhere.
Create Diagonal matrices from Vectors.
Create a Magic Square Matrix.
Create a Random Matrix.
Reset Random Number Generator.
Matrix concatenation8:28
By end of this lecture you will be able to:
Concatenate Matrices
Use Matrix Concatenation Functions effectively
Replicate Matrices
Create Block Diagonal Matrices
Generate Numeric Sequences
Table concatenation12:18
By end of this lecture you will be able to:
Create tables.
Concatenate tables horizontally.
Concatenate tables vertically.
Basic matrix operations6:34
By end of this lecture you will be able to:
Perform Addition and Subtraction on matrices and vectors.
Find the Cross and Dot products of matrices and vectors.
Advanced matrix operations7:21
By end of this lecture you will be able to be performing the following matrix operations:
Determinant of a matrix.
Inverse of a matrix.
Lu factorization of a matrix.
Norm of a matrix.
Orthogonal of a matrix.
Rank of a matrix.
Eigen values a matrix.
Eigen vectors a matrix.
Transpose of a matrix.
Reduced row echelon of a matrix.
Sorting In Matrices and Tables6:29
By end of this lecture you will be able to perform the following sorting operations below:
Sorting Rows of a Table
Sorting Vectors
Sorting Row Vectors
Sorting the Data in Each Row
Sorting the Data in Each Column
Systems of Linear Equations5:45
By end of this lecture you will be able to find solutions of the following system of linear equations.
Homogeneous system.
Check if a system of linear equation has exact solution or not.
Non-homogeneous system with nonsingular Coefficient Matrix.
Non-homogeneous system with singular Coefficient Matrix.

Formula combination and factorization7:56
By end of this lecture you will be able to do the following manipulations:
Combine Terms of Same Algebraic Structures
Factor Expressions
Expansion of expressions8:13
By end of this lecture you will be able to expand the following expressions.
Polynomial Expressions
Exponential Expressions
Logarithmic Expressions
Trigonometric Expressions
Term collection and rewriting of expressions5:39
By end of this lecture you will be able to do the following:
Collect Terms with Same Powers
Rewrite Expressions in Terms of Other Functions
Partial Fraction Decomposition and Polynomials Representation4:29
By end of this lecture you will be able to do the following:
Compute Partial Fraction Decomposition of Expressions
Represent Polynomials Using Horner Nested Forms
Substitution and evaluation of symbolic expressions7:36
By end of this lecture you will be able to do the following:
Substitute Variables in Symbolic Expressions
Evaluate Expressions
Numerator and denominator extraction and common term abbreviation6:00
By end of this lecture you will be able to do the following:
Extract Numerators and Denominators of Rational Expressions
Abbreviate Common Terms in Long Expressions

Differentiation9:21
By end of this lecture you will be able to compute the following:
First Derivative
Second Derivative
nth Derivative
Partial Derivative
Differentiation of Constants
Jacobian Matrix
Numerical differentiation20:23
By end of this lecture you will be able to compute the following:
Exact Differentiation
Numerical Differentiation
Backward Difference
Forward Difference
Centered Difference
Adding Legend
Integration8:35
By end of this lecture you will be able to compute the following:
Indefinite Integration
Definite integration
Numerical integration of integrands defined by function files5:16
By end of this lecture you will be able to numerically evaluate the following integrands defined by function files:
Single integral
Double integral
Triple integral
Numerical integration of integrands defined by numerical data9:52
By end of this lecture you will be able to numerically evaluate the following integrands defined by numerical data:
Single numerical integration
Multiple numerical integration
Taylor and Maclaurin’s Series3:42
By end of this lecture you will be able to generate the following:
Taylor series
Maclaurin series
Fourier transforms and inverse5:44
By end of this lecture you will be able to generate the following:
Fourier transform of a function
Inverse Fourier transform of a function
Laplace transforms and inverse3:15
By end of this lecture you will be able to generate the following:
Laplace transform of a function
Inverse Laplace transform of a function
Z-Transform and inverse2:51
By end of this lecture you will be able to generate the following:
Z - transform of a function
Inverse Z - transform of a function
Symbolic summation5:35
By end of this lecture you will be able to find the following:
Sum of elements of symbolic vectors and matrices.
Sum of a symbolic series.
Compare sum and symsum.
Limits4:30
By end of this lecture you will be able to find the following:
Limits of a function.
One-Sided Limits of a function.

First-order ODE with initial condition8:03
By end of this lecture you will be able to find the following:
First-Order Linear Differential Equation
First-Order Linear Differential Equation with Initial Condition
Nonlinear Differential Equation with Initial Condition
Second-order and third-order ODE with initial condition11:58
By end of this lecture you will be able to find the following:
Second-Order ODE with Initial Conditions
Third-Order ODE with Initial Conditions
System of differential equations11:39
By end of this lecture you will be able to find the following:
Solutions to system of Differential Equations without Initial Conditions
Solutions to system of Differential Equations with Initial Conditions
Solutions to Differential Equations in Matrix Form
Introduction to numerical solution to ODE4:54
By end of this lecture you will be able to understand the following:
Various Matlab ODE solvers
Various problem type
Accuracy of each solver
Solver that matches each problem type
Solving nonstiff ODE using ode4513:33
By end of this lecture you will be able to solve Nonstiff ODE using ode45
Solving stiff ODE using ode15s10:33
By end of this lecture you will be able to solve Stiff ODE using ode15s
Learning to code your own function using a given algorithm12:11
By end of this lecture you will be able to do the following:
Code Modified Euler’s Method in Matlab M-file
Solve an ODE Problem using the function created

Create 2-D and 3-D plots9:03
By end of this lecture you will be able to do the following:
Create a 2-D Line Graph
Create Graph in New Figure Window
Plot Multiple Lines
Add colors, line styles, and markers10:41
By end of this lecture you will be able to do the following:
Specify Line Style
Specify Different Line Styles for Multiple Lines
Specify Line Style, Color, and Markers
Plot Only Data Points
Add title, axis labels, and legend to graph7:35
By end of this lecture you will be able to do the following:
Create Simple Line Plot
Add Title
Add Axis Labels
Add Legend
Specify Legend Location
Combine multiple plots5:10
By end of this lecture you will be able to do the following:
Combine Plots in Same Axes
Create Multiple Axes in Figure Using Subplots
Add Super Title to Figure with Subplots
Specify axis limits15:57
By end of this lecture you will be able to do the following:
Change Axis Limits.
Use Semiautomatic Axis Limits.
Revert Back to Default Axis Limits.
Reverse Axis Direction.
Display Axis Lines through Origin.
Remove the axes box outline.
Add text to graph interactively5:06
By end of this lecture you will be able to do the following:
Add Title and Axis Labels
Add Legend
Add Annotations to Graph
Adding Greek letters and special characters in graph text11:49
By end of this lecture you will be able to do the following:
Include Greek Letters in Graph Text
Include Superscripts and Annotations in Graph Text
TeX Markup Options
Add grid lines and edit placement2:49
By end of this lecture you will be able to do the following:
Display Grid Lines.
Add minor grid lines between the tick marks.
Turn off all the grid lines.
Print figure from file menu5:40
By end of this lecture you will be able to do the following:
Simple Printout
Preserve Background Color and Tick Values
Figure Size and Placement
Line Width and Font Size
Save figure to reopen in Matlab later6:14
By end of this lecture you will be able to do the following:
Save Figure to FIG-File
Generate Code to Recreate Figure
Save figure to open in another application5:41
By end of this lecture you will be able to do the following:
Choose File Format.
Save Figure for Document or Presentation.
Save Figure for Editing in another Application.
Create chart with two y-Axes11:33
By end of this lecture you will be able to do the following:
Plot Data Against Left y-Axis
Plot Data Against Right y-Axis
Add Title and Axis Labels
Plot Additional Data Against Each Side
Clear One Side of Axes
Clear Axes and Remove Right y-Axis
Add Second y-Axis to Existing Chart

Understanding Simulink Environment7:39
By end of this lecture you will be able to do the following:
Explain what simulink is and its uses.
Explain the basic elements of simulink library.
Open new model from Matlab home.
Open simulink library browser.
Open new model from Matlab command Line.
Building Simple Simulink Model - Sine Wave18:58
By end of this lecture you will be able to do the following:
Browse or Search for Specific Blocks
Add Blocks to Model
Move and Resize Blocks
Block Connections
Draw Signal Lines Between Blocks
Draw Branched Signal Lines
Define Configuration Parameters
Run Simulation
Observe Simulation Results
Simulation of Predator - Prey Model with Runge - Kutta Order 420:44
By end of this lecture you will be able to do the following:
Identify items needed for the simulation and where to get them.
Drag and drop items, join them and run the simulation.
Add Legend to the plots.
Change the default names of the blocks.
Auto Scale the simulation.
Control start and stop time of the simulation.
Using Vectors10:47
By end of this lecture you will be able to do the following:
Specify Vectors in Gain blocks.
Display Signal Dimensions.
Change Saturation Block.
Run the Simulation and Auto Scale the plot.
Taking Variables from MATLAB14:20
By end of this lecture you will be able to do the following:
Modify blocks names
Place labels in your model
Take variables from MATLAB
Exchanging Signals with MATLAB10:34
By end of this lecture you will be able to do the following:
Open the model from the last lecture.
Prepare and export the model.
Examine the outputted variables in the Matlab window.
Extracting Models from Simulink into MATLAB7:48
By end of this lecture you will be able to do the following:
Bring into your model the In block and Out Block.
Extract the model to Matlab.
Convert to transfer function.
Verify transferred model.
Data-Driven Modeling- Simulating From M-File24:01
By end of this lecture you will be able to do the following:
Build Simulink model from the Mathematical model.
Enter simulink variable and run simulation from M-File.
MATLAB Function Block11:11
By end of this lecture you will be able to embed M-file codes to your Simulink.
Subsystems10:51
By end of this lecture you will be able to do the following:
Create Subsystem
View the Blocks inside a Subsystem
Work with the Mask Editor
Change the Subsystem Look
Model Explorer2:35
By end of this lecture you will be able to do the following:
Opening Model Explorer
Viewing and Editing the Explorer Contents

Requirements

Engineering, science or mathematics background.
A desire to learn, to take action and to ask for help when needed.
Understanding of Scientific, Engineering or Mathematical computations.

Description

Whether of engineering or science background, you are about to join over 2 million users of MATLAB that cut across these backgrounds; a multi-paradigm numerical computing environment and fourth-generation programming language that allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages with additional package, Simulink, adds graphical multi-domain simulation and model-based design for dynamic and embedded systems

This course starts from the elementary topics, then progressively and systematically advances to more advanced (but well explained) topics in MATLAB. It touches the major computations and simulations Engineers and Scientists are faced with and major aspects of MATLAB you need to progress to become an expert. After this course, you can stand boldly and tackle those difficult problems on your own with MATLAB and be able to proceed and specialize on any aspect of MATLAB you choose to.

The videos and lecture materials are easy to grasp and very straight to the point.

Each lecture has quiz which must be attempted to obtain a certificate for this course. Note that some of these quizzes serve as summary to the course, you will get to learn some more things and also understand some key facts emphasized in the lectures.

The instructor's lecture notes used for each lecture is also provided so you don’t need to bother writing, you will need to just pay attention to the lectures because all your needs are provided. Beside, all the codes used in the course are also provided.

In case you don’t have MATLAB already installed in your system, there are lectures on the various ways you can acquire MATLAB and the procedures involved in its installation, this you will find in the supplementary resources.

In this course, you will typically become a guru and will move from zero knowledge in MATLAB to hero.

Who this course is for:

Scientists and Engineers
College and University students
Teachers and Researchers

MATLAB and Simulink for Science and Engineering Computations

What you'll learn

Explore related topics

Course content

Introduction4 lectures • 16min

Understanding Matlab and its Environment3 lectures • 24min

Arithmetic and Algebraic Operations9 lectures • 1hr 18min

Linear Algebra (Matrices and Vector manipulations)8 lectures • 1hr 6min

Formula manipulation and simplification6 lectures • 40min

Solving Calculus Problems11 lectures • 1hr 19min

Differential Equations7 lectures • 1hr 13min

Matlab Graphics12 lectures • 1hr 37min

MATLAB SIMULINK11 lectures • 2hr 19min

Requirements

Description

Who this course is for: