MATLAB for Scientists and Engineers

Name: MATLAB for Scientists and Engineers
Rating: 4.2 (93 reviews)

Introduction to MATLAB for Engineers and Scientists

Created byAnthony Nwachukwu

Last updated 2/2018

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

Course content

9 sections • 62 lectures • 8h 1m total length

Welcome to our class1:57
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.
Necessity for course completion
Brief introduction to Matlab2:37
By the end of this lecture you should be able to discuss the origin of Matlab and the various areas where Matlab finds applications.
What do you know about Matlab?
Why take the course?

How to install Matlab with Internet8:50
By the end of this lecture you should be able to install Matlab

with internet connection.
How to Activate Matlab with Internet2:34
By the end of this lecture you should be able to activate Matlab with internet connection.
How to install Matlab without Internet6:04
By the end of this lecture you should be able to install Matlab without internet connection.
How to Activate Matlab without Internet2:21
By the end of this lecture you should be able to activate Matlab without internet connection.
Matlab successful installation

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
Understanding Matlab Desktop
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.
Formats in Matlab
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.
Workspace and command window management

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.
Working with real numbers
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.
Working with complex numbers
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.
Represent and evaluate polynomials
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.
Understanding polynomial's root
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.
Integrating and differentiating polynomials
Polynomial Curve Fitting6:01
By the end of this lecture you should be able to fit a polynomial curve to a set of data
Polynomial curve fitting
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.
Polynomial expressions and 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
Solving discrete maths problems
Displaying strings on command window

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 basics in Matlab
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 generators in Matlab
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
Joining Matrices in Matlab
Table concatenation12:18
By end of this lecture you will be able to:

Create tables.
Concatenate tables horizontally.
Concatenate tables vertically.
Joining tables in Matlab
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.
Performing basic matrix operations with Matlab
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.
Beyond the basics of matrix with Matlab
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
Doing sorting in matrices and tables
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.
Solving systems of linear equations with Matlab

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
Combination and factorization
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
Expansion
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
Collect terms and rewrite expressions
Partial Fraction Decomposition and Polynomials Representation4:29
By end of this lecture you will be able to do the following:

Compute Partial Fraction Decompositions of Expressions
Represent Polynomials Using Horner Nested Forms
Decompose partial fraction and represent polynomials
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
Substitute and evaluate symbolic 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
Extract numerator and denominator and abbreviate common terms

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
Doing differentiation
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
Differentiating Numerically
Integration8:35
By end of this lecture you will be able to compute the following:

Indefinite Integration
Definite integration
Doing 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
Doing Numerical integration of integrands defined by function files
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
Doing Numerical integration of integrands defined by numerical data
Taylor and Maclaurin’s Series3:42
By end of this lecture you will be able to generate the following:

Taylor series
Maclaurin series
Generating Taylor and 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
Computing Fourier transforms and inverse
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
Computing Laplace transforms and inverse
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
Computing Z-Transforms and inverse
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.
Computing symbolic sum
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.
Finding limits

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
Solving First-order ODE 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
Solving second-order and third-order ODE with initial condition
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
Solving system of differential equations
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
Numerical solution to ODE
Solving nonstiff ODE using ode4513:33
By end of this lecture you will be able to solve Nonstiff ODE using ode45
Finding solutions to 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
Finding solutions to 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
Coding your own function using a given algorithm
Coding Runge-Kutta of 4th Order

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
Plotting 2-D and 3-D graphs
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
Adding colors, line styles, and markers to plots
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
Adding title, axis labels, and legend to plots
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
Combining multiple plots on one graph
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.
Specifying axis limits
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 text to graph interactively
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
Adding Greek letters and special characters in graph text
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.
Adding grid lines and edit placement
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
Printing figure from file menu
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
Saving figure to reopen in Matlab later
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.
Saving figure to open 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
Creating chart with two y-Axes

Requirements

General Knowledge of Computer, knowledge of high school and a bit of college math.
A desire to learn, to take action and to ask for help when needed

Description

Whether of engineering, science, economics or medical 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, including C, C++, C#, Java, Fortran and Python 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 topics Engineers and Scientists meet on daily bases 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 straight to the point.

Each lecture has quiz which must be attempted to obtain a certificate for this course. Each section has assignment which can be evaluated by fellow Udemy students if you give the permission. 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 step-by-step answers to the assignment are also provided.

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.

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
High School and College Students
Teachers and Researchers

MATLAB for Scientists and Engineers

What you'll learn

Explore related topics

Course content

Introduction to MATLAB for Scientists and Engineers2 lectures • 5min

MATLAB Installation4 lectures • 20min

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

Requirements

Description

Who this course is for: