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80

INTUITION MATTERS! Applied Calculus for Engineers: Part 1

Gain a Better Understanding of Calculus & Apply It in Real Life

By Mark Misin | in Online Courses

Mere concept memorization just doesn't work. But if you truly understand something, that stays with you for good...and it can serve you for a long time. This course will give you strong intuition and understanding in Calculus, and you will be trained to apply it in real life. It will stay in your head for good — this is a GREAT investment! From single variable functions to differential equations, this course will brush up your calculus knowledge and develop it even more.

163 positive ratings from 1,715 students enrolled

  • Access 80 lectures & 11 hours of content 24/7
  • Develop strong intuition & understanding in Calculus
  • Understand basic concepts such as functions, limits & derivatives
  • Learn about calculus in Control Engineering
  • Learn how to apply Calculus in real life

"Applied Math made easy! The intuition side of math that gives life to the abstract subject. That is exactly what I was looking for." – Ghassan Electrical

Mark Misin | Aerospace & Robotics Engineer

4.5/5 Instructor Rating: ★ ★ ★ ★


Mark Misin is an Aerospace & Robotics Engineer with a broad scope of interest. He’s set on a mission to elevate humanity’s knowledge, skills, and general love for science and engineering. How does he do it? He offers comprehensive courses on Applied Calculus for Engineering. Mark’s approach is to develop students’ skills to such a level when they can understand Calculus intuitively and learn to apply it. His course should drastically improve your intuitive understanding of the concepts of Calculus.

Mark Misin’s teaching approach is of benefit to many different professionals or college students as he presents essential information in a more simplified way. He focuses on applying Calculus at realistic work, which helps to accelerate students’ success making careers in the real world.

1,715 Total Students
167 Reviews

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Any device with basic specifications

Course Outline

  • Section 1: Single Variable Functions
    • Functions - what are they - high school review 1 - 9:40
    • Functions - what are they - high school review 2 - 10:13
    • SIM: Straight line functions in motion - 3:31
    • Practice functions - airplane homework - 9:12
    • Abstract World VS Real World - 1 - 5:54
    • Abstract World VS Real World - 2 - 5:44
    • Straight line functions - How to manipulate them - 10:32
    • Inverse functions - what are they and how to find them - 8:05
    • Find inverse functions - example - 5:15
    • Parabolic functions - How to manipulate them - 12:26
    • Cubic functions - How to manipulate them - 6:13
    • SIM: Car race exercise - who will win the race? - 1:03
    • SIM: Car race exercise - who will win the race - SOLUTION - 2:46
    • What is a function, what is not - 1 - 8:53
    • What is a function, what is not - 2 - 6:25
    • Inverse function of a parabola - how to find it - 6:09
    • Inverse function of a cubic function- how to find it - 7:01
    • Functions in general form - how to manipulate them - 10:49
    • SIM: General functions in motion - 5:39
    • Piecewise defined functions - how to form them - 10:27
    • How to shift functions - 8:35
    • How to do function operations - 12:07
    • Practice function operations - 8:34
    • Quadratic function roots - How to get them 1 - 11:00
    • Quadratic function roots - How to get them 2 - 7:55
    • Which terms dominate in functions - 7:23
    • SIM: 3 airplane race - who wins, and when? - 1:19
  • Section 2: Trigonometric functions
    • Pi number and circumference of a circle - what are they and how to get them - 13:27
    • Radians VS Degrees & how to get the arc length of a circle - 11:39
    • Sine function - where does it come from - 12:54
    • Cosine and tangent function - where do they come from - 8:14
    • Inverse of trigonometric functions - how to get them - 10:28
    • Practice trigonometric functions - exercises - 4:43
    • Abstract VS Real - Aerospace Engineering example - 13:41
    • SIM: Avoid the crash - exercise - 3:50
    • SIM: Avoid the crash - solution 1 - 1:48
    • SIM: Avoid the crash - solution 2 - 4:35
    • SIM: Avoid the crash - solution 3 - 2:53
    • SIM: Avoid the crash - solution 4 - 6:41
    • SIM: Avoid the crash - solution 5 - 5:15
    • SIM: Avoid the crash - solution 6 - 1:56
    • SIM: Avoid the crash - solution 7 - 3:56
    • SIM: Avoid the crash - solution 8 - 1:08
    • SIM: Avoid the crash - solution 9 - 4:56
    • SIM: Avoid the crash - solution 10 - 1:01
  • Section 3: Multidimensional functions
    • 2 variable function - how to apply it to a simple airplane example - 12:42
    • 3 variable function - how to apply it to a simple airplane example - 9:16
    • What is a function and what is not - multidimensional functions - 11:08
  • Section 4: Limits
    • Variable equaling VS approaching something - what's the difference - 12:04
    • Variable approaching infinity - what happens - 8:02
    • Smart financial decision using limits - how to do it - 11:08
    • Manipulate trigonometric functions in different ways - how - 11:03
    • Model a wave with a trigonometric function - how - 12:19
    • Get from a sine to a cosine function - exercise - 3:16
    • Practice limits on a trigonometric function - does the limit exist? - 4:34
    • SIM: Limit simulation - 3:05
    • SIM: sin_limit simulation - 6:03
  • Section 5: Derivatives - single variable
    • Derivatives - what are they - falling sphere example 1 - 13:02
    • Derivatives - what are they - falling sphere example 2 - 11:05
    • Derivatives - what are they - falling sphere example 3 - 14:42
    • SIM: Earth, Mars, Moon - exercise - 3:27
    • SIM: Earth, Mars, Moon - solution - 3:46
    • Derivatives - What are they - multidimensional point of view - 7:33
    • Practice your derivative intuition - exercises - 10:53
    • chain rule - how to apply it to a multi link problem - water pipe example 1 - 11:20
    • chain rule - how to apply it to a multi link problem - water pipe example 2 - 15:58
    • Differential operators - What are they and how to apply them - 10:18
    • Multilevel derivatives - double, triple, quadruple - 7:35
    • Derivative rules - shortcuts 1 - 7:15
    • Derivative rules - shortcuts 2 - 12:32
    • Implicit VS Explicit functions - chain rule - water pipe example - 14:07
    • Derivative rules - BIG exercise - 14:59
    • Trigonometric function derivatives - how to take them 1 - 11:15
    • Trigonometric function derivatives - how to take them 2 - 9:38
    • Minimize the material used to produce a can - how to apply derivatives 1 - 14:20
    • Minimize the material used to produce a can - how to apply derivatives 2 - 9:01
    • Minimize the material used to produce a can - how to apply derivatives 3 - 16:39
    • Exponential functions - what are they - how to manipulate them - 10:08
    • Logarithmic functions & log scale - what are they & derivatives - 13:25
    • Maximize your profit - how to apply derivatives for that - 14:09

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82

INTUITION MATTERS! Applied Calculus for Engineers: Part 2

Calculus + Engineering: Vectors, Parametric Equations, Partial Derivatives & More

By Mark Misin | in Online Courses

This course is a continuation of the INTUITION MATTERS! Applied Calculus for Engineers: Part 1.

With the aim to make you understand Calculus by heart, this class goes on using practical examples to discuss vectors, parametric equations, partial derivatives, and linearization.

163 positive ratings from 1,715 students enrolled

  • Access 82 lectures & 14 hours of content 24/7
  • Understand vectors & their applications
  • Apply 3D coordinate systems
  • Know when to switch between Polar & Cartesian
  • Learn about implicit functions & how to graph them

"The course has given me a new way to visualize Calculus as an Engineer." – Thangabalaji M.

Mark Misin | Aerospace & Robotics Engineer

4.5/5 Instructor Rating: ★ ★ ★ ★


Mark Misin is an Aerospace & Robotics Engineer with a broad scope of interest. He’s set on a mission to elevate humanity’s knowledge, skills, and general love for science and engineering. How does he do it? He offers comprehensive courses on Applied Calculus for Engineering. Mark’s approach is to develop students’ skills to such a level when they can understand Calculus intuitively and learn to apply it. His course should drastically improve your intuitive understanding of the concepts of Calculus.

Mark Misin’s teaching approach is of benefit to many different professionals or college students as he presents essential information in a more simplified way. He focuses on applying Calculus at realistic work, which helps to accelerate students’ success making careers in the real world.

1,715 Total Students
167 Reviews

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Any device with basic specifications

Course Outline

  • Section 1: Vectors
    • Vectors in 2 dimensions - what are they - 9:55
    • Vectors in multiple dimensions - what are they - 15:35
    • Vector terminology and disclaimers - 6:30
    • Vector independence - intuition - 10:27
    • Dot product - what is it and how to use it to prove vector independence - 10:41
    • Vector magnitude - what is it - 11:38
    • Vector components - exercise - 6:07
    • Vector operations - how do they work - 4:45
    • Apply the dot product - Forces on a box example - 6:50
    • Cross product intuition- what is it - 7:18
    • Cross product - how to calculate it - 13:00
    • Apply the cross product - electron and magnetic field example - 10:20
    • MEGA Application - Water tank example 1 - 6:38
    • MEGA Application - Water tank example 2 - 9:47
    • MEGA Application - Water tank example 3 - 11:23
    • CORRECTION: MEGA Application - Water tank example 3 - 5:01
    • MEGA Application - Water tank example 4 - 12:33
    • CORRECTION: MEGA Application - Water tank example 4 - 2:25
    • MEGA Application - Water tank example 5 - 5:33
    • SIM: MEGA Application - Water tank example - Complete - 2:09
    • MEGA Application - Water tank example - exercise 1 - 11:10
    • MEGA Application - Water tank example - exercise 2 - 11:11
    • SIM: MEGA Application - Water tank example - exercise - 0:50
    • MEGA Application - Water tank mass flow- use derivatives to get it - 15:57
    • Distance VS Position vectors - what's the difference - 16:14
    • Displacement VS Velocity VS Acceleration vectors - what's the difference - 14:29
    • Graph Displacement, Velocity, & Acceleration vectors - 8:31
    • Acceleration vector - intuition - 7:42
    • Vector derivatives - how do they work - 2:31
  • Section 2: Transformations
    • 2D Cartesian VS Polar coordinate systems - what are they - 10:22
    • 3D Cartesian VS Cylindrical VS Spherical coordinate systems - what are they - 7:37
    • Apply 3 dimensional coordinate systems - when to use what - 7:08
    • Going Polar to Cartesian and back - how to switch between them - 16:34
    • Going between 3 dimensional coordinate systems - how to switch between them - 9:47
  • Section 3: Parametric equations
    • Intro into Parametric Equations - Intuition - 7:32
    • MEGA Application - Landing Airplane in 2D - 7:03
    • SIM: MEGA Application: Landing simulation - 3:22
    • MEGA Application - Airplane flying in an oscillatory way (in 2D) - 11:25
    • MEGA Application - Airplane's velocity and acceleration in 2D - 18:09
    • SIM: MEGA Application - Sin trajectory simulation - 5:31
    • MEGA Application - Airplane doing circles in 2D - Cartesian & Polar coordinates - 16:29
    • MEGA Application - Airplane doing circles in 2D - Velocity & Acceleration - 17:41
    • SIM: MEGA Application - Circle simulation - 7:28
    • MEGA Application - Airplane flying in a spiral in 3D - 14:47
    • MEGA Application - Python simulation of different 3D spiral trajectories - 7:57
    • SIM: MEGA Application - 3D trajectories - simulation 1 - 2:44
    • SIM: MEGA Application - 3D trajectories - simulation 2 - 1:35
    • SIM: MEGA Application - 3D trajectories - simulation 3 - 3:06
    • SIM: MEGA Application - 3D trajectories - simulation 4 - 2:38
    • SIM: MEGA Application - 3D trajectories - simulation 5 - 1:14
    • MEGA Application - 2 joint robot - Angular position, velocity, and acceleration - 19:00
    • MEGA Application - 2 joint robot - 2 joints rotating simultaneously - 10:03
    • MEGA Application - 2 joint robot - assigning multiple reference frames - 14:32
    • MEGA Application - 2 joint robot - describing a point in two different frames - 8:43
    • MEGA Application - 2 joint robot - deriving a 2D rotational matrix - 12:58
    • MEGA Application - 2 joint robot - describing rotating and translating joints - 18:45
    • MEGA Application - 2 joint robot - joints rotating at different frequencies - 9:26
    • MEGA Application - 2 joint robot - Python simulation of the arm's trajectory - 7:29
    • SIM: MEGA Application - 2 joint robot - simulation 1 - 4:27
    • SIM: MEGA Application - 2 joint robot - simulation 2 - 3:24
    • 3D Rotational matrix - how to derive it 1 - 18:19
    • 3D Rotational matrix - how to derive it 2 - 11:05
    • 3D Rotational matrix - how to derive it 3 - 12:50
  • Section 4: Multivariable Calculus
    • Implicit functions - what are they and how to graph them - 13:22
    • Implicit function derivatives - how to take them - 11:42
    • Expanding function dimensions 1 - 6:40
    • Expanding function dimensions 2 - 6:28
    • Machine Learning example - how to apply multidimensionality - 16:50
    • Partial derivatives - intro 1 - 15:06
    • Partial derivatives - intro 2 - 14:51
    • Partial derivatives - intro 3 - 13:47
    • Higher dimensional partial derivatives & its graph - 12:57
    • Airplane example - Chain rule in parametric equations - partial derivatives 1 - 6:37
    • Airplane example - Chain rule in parametric equations - partial derivatives 2 - 9:46
    • Multilevel partial derivatives - how to take them - 15:17
    • Gradient - what is it and how to find it - 7:33
    • Taylor Series - what is it and how to formulate it 1 - 16:57
    • Taylor Series - what is it and how to formulate it 2 - 19:42
    • Linearization and Quadratic Approximation - what is it and how to do it - 28:24
    • Multidimensional linearization - practical exercise - 22:44
    • Multidimensional quadratic approximation - Hessian Matrix - 16:46
    • Representing a system mathematically, in vector-matrix form, and block diagrams - 18:20

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28

INTUITION MATTERS! Applied Calculus for Engineers: Part 3

Confidently Solve Integrals & Differential Equations

By Mark Misin | in Online Courses

With 28 lectures, this course will discuss single variable integrals, multivariable integrals, differential equations, and frequency domain. All with practical examples for you to better understand them.

163 positive ratings from 1,715 students enrolled

  • Access 28 lectures & 6 hours of content 24/7
  • Understand what integrals are, its types & their differences
  • Distinguish Discrete from Continuous functions
  • Do mass calculation with varying density
  • Get basic knowledge on differential equations
  • Learn about wave representation in time & frequency domain

Mark Misin | Aerospace & Robotics Engineer

4.5/5 Instructor Rating: ★ ★ ★ ★


Mark Misin is an Aerospace & Robotics Engineer with a broad scope of interest. He’s set on a mission to elevate humanity’s knowledge, skills, and general love for science and engineering. How does he do it? He offers comprehensive courses on Applied Calculus for Engineering. Mark’s approach is to develop students’ skills to such a level when they can understand Calculus intuitively and learn to apply it. His course should drastically improve your intuitive understanding of the concepts of Calculus.

Mark Misin’s teaching approach is of benefit to many different professionals or college students as he presents essential information in a more simplified way. He focuses on applying Calculus at realistic work, which helps to accelerate students’ success making careers in the real world.

1,715 Total Students
167 Reviews

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Any device with basic specifications

Course Outline

  • Single variable integrals
    • Discrete VS Continuous functions - what's the difference - 10:44
    • Intro to Integrals - The area of the wall calculation 1 - 10:30
    • Intro to Integrals - The area of the wall calculation 2 - 14:36
    • Integrals - what's the meaning of it 1 - 11:56
    • Integrals - what's the meaning of it 2 - 13:10
    • Integrals - what's the meaning of it 3 - 13:42
    • Integrals - what's the meaning of it 4 - 17:47
    • Indefinite Integrals VS Definite Integrals - what's the difference - 15:02
    • Definite Integrals - Area of the wall calculation 1 - 22:04
    • Definite Integrals - Area of the wall calculation 2 - 12:40
    • Improper Integrals - made intuitive - 20:42
    • Definite Integrals - formal definition - 20:41
    • Area of a circle & initial conditions - integrals applied - 13:29
    • Area of a circle - 2nd approach - integrals applied - 13:58
    • Volume of a solid - integrals applied - 15:58
    • Integration by parts - where it comes from and how to apply it - 14:03
    • Curve length calculation - integrals applied 1 - 16:19
    • Curve length calculation - integrals applied 2 - 10:26
    • Spiral length calculation in 3D - integrals applied - 12:31
  • Multivariable integrals
    • Multivariable integrals - intuition 1 - 16:55
    • Multivariable integrals - intuition 2 - 17:31
    • Multivariable integrals - intuition 3 - 9:54
    • Triple Integrals -intuition - 7:50
    • Quadruple Integrals - intuition - 6:26
    • Mass calculation with varying density - applied triple integrals - 16:00
  • Introduction to Differential Equations
    • Differential Equations - intuition & different representations 1 - 16:09
    • Differential Equations - intuition & different representations 2 - 12:42
  • Extra Wisdom
    • Wave representation in time & frequency domain - 5:45

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Lessons
29

INTUITION MATTERS! Applied Calculus for Engineers: Part 4

Put Calculus to Good Use: Controllers & PID

By Mark Misin | in Online Courses

This is the last part of INTUITION MATTERS! Applied Calculus for Engineers by Aerospace & Robotics Engineer Mark Masin. This 3-hour course will cover systems, controllers, PID, as well as the codes needed for them.

163 positive ratings from 1,715 students enrolled

  • Access 29 lectures & 3 hours of content 24/7
  • Know what a controller is
  • Design a proportional controller in a calculus point of view

Mark Misin | Aerospace & Robotics Engineer

4.5/5 Instructor Rating: ★ ★ ★ ★


Mark Misin is an Aerospace & Robotics Engineer with a broad scope of interest. He’s set on a mission to elevate humanity’s knowledge, skills, and general love for science and engineering. How does he do it? He offers comprehensive courses on Applied Calculus for Engineering. Mark’s approach is to develop students’ skills to such a level when they can understand Calculus intuitively and learn to apply it. His course should drastically improve your intuitive understanding of the concepts of Calculus.

Mark Misin’s teaching approach is of benefit to many different professionals or college students as he presents essential information in a more simplified way. He focuses on applying Calculus at realistic work, which helps to accelerate students’ success making careers in the real world.

1,715 Total Students
167 Reviews

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Any device with basic specifications

Course Outline

  • Proportional & PID Controller
    • Intro to Control - how to control systems with a controller 1 - 6:52
    • Intro to Control - how to control systems with a controller 2 - 6:34
    • Open VS Closed Loop System - 6:36
    • Controlling the water tank in a Python simulation - 2:58
    • Intro to a proportional controller - 5:05
    • Modelling the water tank 1 - 1:51
    • Modelling the water tank 2 - 13:04
    • Numerical integration applied to the water tank model - 13:30
    • Combining math with the control structure 1 - 8:37
    • Water tank simulation - proportional controller - 2:35
    • Intro to a PID simulation - 2:41
    • PID: Modelling the train with forces 1 - 6:52
    • PID: Modelling the train with forces 2 - 11:33
    • PID: Going from system input to system output using numerical integration - 11:10
    • PID: Magnetic train simulation - proportional controller - 2:06
    • PID: Proportional controller overshoot explanation 1 - 5:07
    • PID: Proportional controller overshoot explanation 2 - 8:21
    • PID: Proportional controller overshoot explanation 3 - 6:02
    • PID: Intro to Derivative Control - 13:14
    • PID: Tuning the controller - 7:45
    • PID: Proportional & Derivative controller & magnetic train simulation in Python - 10:20
    • PID: Intro to Integral Control - 5:04
    • PID: Python magnetic train simulation at an inclination angle - 2:00
    • PID: Mathematical modelling of the train with the inclination angle 1 - 4:46
    • PID: Mathematical modelling of the train with the inclination angle 2 - 6:37
    • PID: Proportional, Derivative, Integral Control combined - 17:02
    • PID: extra component in the controller to deal with small number division - 14:29
    • PID: Magnetic train simulation (inclination angle & PID) - 2:37
    • Codes for the P & PID controllers (Python 3, Numpy & Matplotlib needed)

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Complete Linear Algebra for Data Science & Machine Learning

Everything in Linear Algebra Simplified in the Best Possible Way

By Kashif Altaf | in Online Courses

Being proficient in Linear Algebra will open doors for you to many high-in-demand careers. Whether you're a student, or a professional or a Math enthusiast, this course walks you through the core concepts of Linear Algebra in an easy and fun way! Every topic is explained with the help of solved examples, from start to end. This problem-based approach is great, especially for beginners who want to practice their math concepts while learning. Learn about linear equations, single matrix, vectors, determinants, and so much more! By the end of this course, you'll feel confident and comfortable with all the Linear Algebra topics discussed in this course!

306 positive ratings from 2,162 students enrolled

  • Access 165 lectures & 2 hours of content 24/7
  • Learn the basics of matrices, including notation, dimensions, types, addressing the entries & more
  • Perform elementary row operations & finding Echelon Forms
  • Understand the properties of determinants & how to utilize them to gain insights
  • Find Eigenvalues & the corresponding Eigenvectors

"Amazing course for anybody who wants to get into data science and AI since Linear Algebra is very important for that." – Kuro Saki

Kashif Altaf | Best-Selling Instructor

4.4/5 Instructor Rating: ★ ★ ★ ★
42,495 Total Students
2,081 Reviews

Kashif Altaf holds a Masters in Engineering from a top U.S. university. He loves to teach and has 11 years of university-level teaching experience. Apart from traditional academics, he is passionate about online education and digital entrepreneurship. In addition to technical subjects, he is also interested in video editing and motion graphics.

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: all levels

Requirements

  • Ability to perform basic Mathematical operations (+, -, x, ÷) on numbers and fractions
  • Knowledge on how to solve linear equations
  • Understanding of basic Algebra concepts

Course Outline

  • Welcome and Introduction
    • 01 - 2 - Welcome Video - 2:43
  • Basics of Matrices
    • 02 - 001 - Matrices and their Importance - f.e - 2:07
    • 03 - 002 - Matrix Notation - f.e - 2:25
    • 04 - 003 - Dimension (Order) of a Matrix - f.e - 3:20
    • 05 - 004 - Addressing Elements of a Matrix - f.e - 4:01
    • 06 - 005 - Solving Linear Systems in 2 Unknowns - f.e - 12:18
    • 07 - 006 - Solving Linear Systems in 3 Unknowns - f.e - 8:17
  • Basics of Matrices (Continued)
    • 13 - 6 - Inverse and determinants of 2x2 matrices - 5:07
    • 12 - 5 - Matrix Multiplication - 18:29
    • 11 - 4 - Scalar multiplication with Matrices - 2:16
    • 09 - 2 - Types of Matrices - 6:13
    • 10 - 3 - Addition and Subtraction of Matrices - 7:38
    • 15 - 8 - Example of Calculating inverse of 2x2 matrix - 3:22
    • 17 - 10 - Example of solving simultaneous linear equations using matrices - 7:40
    • 18 - 11 - Challenge Question - Solving equations using Matrices - 2:29
    • 19 - 12 - Summary - 10:41
    • 16 - 9 - Using Matrices to Solve Simultaneous Linear Equations - 10:28
    • 14 - 7 - Calculating the inverse of a 2x2 matrix - 4:12
  • Matrices and Systems of Linear Equations
    • 20 - Matrix Calculator1 - 6:20
    • 22 - Sec2 2 - System of linear equations 3x3 and more - 6:40
    • 25 - Sec2 4 - Reduced Row Echelon Form - 3:58
    • 21 - Sec2 1 - System of linear equations 2x2 - 8:38
    • 24 - Sec2 4 - REF - 10:25
    • 23 - Sec2 3 - Elementary Row Operations - 10:27
  • Matrix Algebra and Operations
    • 27 - Addition subtraction of matrices - 4:09
    • 28 - Scalar multiplication - 1:44
    • 29 - Matrix multiplication - 10:09
    • 30 - Transpose - 5:14
  • Determinant of a Matrix
    • 32 - Determinant of a matrix - 5:27
    • 33 - Determinant of 3x3 - 12:54
    • 34 - Properties of Determinants0 - Finding them quickly 2.14min - 2:14
  • Inverse of a Matrix
    • 36 - Inverse only for square matrices - 4:24
    • 37 - Singular matrices - 3:58
    • 38 - Importance of inverse in linear systems - 6:25
    • 40 - 1 - Both Methods - 2:38
    • 41 - 2 - Cofactor method - 11:39
    • 42 - 3 - Gauss Jordan Method - 17:20
  • Properties of Determinants
    • 43 - Properties of Determinants1 - Row Operation 1 1.21min - 1:21
    • 44 - Properties of Determinants2 - Row Operation 2 1.38min - 1:38
    • 45 - Properties of Determinants3 - Row Operation 3 1.59min - 1:59
    • 46 - Properties of Determinants4 - All Row Operations 1.19min - 1:19
    • 47 - Properties of Determinants5 - Row Operations applied 4.57min - 4:57
    • 48 - Properties of Determinants6 - Another Property 3.43min - 3:43
  • *** OPTIONAL: Introduction to Vectors
    • 49 - 0 - Intro to section - 0:42
    • 57 - 8 - 3D Vectors and Magnitude of a Vector - 4:42
    • 54 - 5 - Unit Vectors - 6:54
    • 50 - 1 - Scalars and Vectors - 5:26
    • 55 - 6 - Components of a Vector in 2D - 3:07
    • 56 - 7 - Position Vector - 4:25
    • 53 - 4 - Laws of Vector Addition and Head to Tail Rule - 10:31
    • 51 - 2 - Geometrical representation of vectors - 4:35
    • 59 - 10 - Finding Midpoint using Vectors - 4:13
    • 58 - 9 - Displacement Vector - 3:24
    • 52 - 3 - Vector Addition and Subtraction - 4:31
  • Vector Spaces
    • 66 - 5 - Example closure properties - 5:44
    • 63 - 2 - Euclidean Vector Spaces - Part 3 - 5:35
    • 65 - 4 - Axioms - 4:52
    • 61 - 2 - Euclidean Vector Spaces - Part 1 - 6:10
    • 64 - 3 - Definition and closure properties - 5:15
    • 60 - 1 - Intro to Vector Spaces - 0:56
    • 68 - 7 - Example2 Vector Spaces - 2:16
    • 67 - 6 - Example1 Vector Spaces - 4:34
    • 62 - 2 - Euclidean Vector Spaces - Part 2 - 4:41
  • Subspace and Nullspace
    • 69 - 1 - Intro to subspaces - CORRECTED - 3:17
    • 71 - 3 - Example of subspace - 3:18
    • 74 - 6 - Example of Nullspace - 8:02
    • 70 - 2 - Example of subspace - 3:32
    • 72 - 4 - Example of subspace - 3:43
    • 73 - 5 - Nullspace of a matrix - 2:24
  • Span and Spanning Sets
    • 80 - 11 - Example4 of spanning set - 4:13
    • 78 - 9 - Spanning set for vector space and examples - 4:36
    • 79 - 10 - Example3 of spanning set - 5:22
    • 76 - 7 - Span of a set of vectors - 1:54
    • 77 - 8 - Example of span of many vectors - 3:57
  • Linear Dependence and Independence
    • 82 - 2 - Definitions of linearly dependent - 3:00
    • 83 - 3-4 - Examples of Linear Dependance and Independance - 3:44
    • 81 - 1 - Intro to Linear dependence - 9:22
    • 87 - 9 - Example - CORRECTED - 6:07
    • 86 - 8 - What if X is not a square matrix - 2:35
    • 85 - 7 - A faster method to check linear dependency - 6:32
    • 84 - 5-6 - More examples of Linear Dependence and Independence - 3:34
  • Basis and Dimension
    • 89 - 3 - Example2 - 5:34
    • 91 - 5 - Example - 3:27
    • 92 - 6 - Standard Basis - 2:03
    • 90 - 4 - Dimension of a vector space - 2:06
    • 88 - 1-2 - Basis - Definition and Example - 4:36
  • Eigenvalues and Eigenvectors
    • 94 - 1. Evalues Intro - 3:48
    • 95 - 2. Evalues formula - 4:39
    • 96 - 3. Example - 13:52
  • Basic Algebra Concepts (Additional Lessons)
    • 111 - W1-2 7-EXERCISES - 1:06
    • 110 - W1-2 6-Irrational Numbers - 1:41
    • 121 - W3-04-EXAMPLES-Length of a Line Segment - 1:59
    • 145 - W3-31-Summary - 1:41
    • 122 - W3-05-EXERCISE-Length of a Line Segment - 1:12
    • 125 - W3-09-SUMMARY - 1:16
    • 131 - W3-16-EXERCISE - Equation of a straight line - 3:45
    • 129 - W3-14-EXAMPLE2 - Equation of a straight line - 5:38
    • 114 - W1-2 10-EXAMPLES 1 - 5:08
    • 126 - W3-11-Equation of a straight line - 5:41
    • 116 - W1-2 12-EXAMPLES 3 - 3:17
    • 124 - W3-08-EXERCISE-Midpoint of a Line Segment - 1:36
    • 139 - W3-25-Exercise-Intersection of Straight Lines - 1:26
    • 132 - W3-17-Other forms of Linear Equations - 4:25
    • 144 - W3-30-EXERCISE-Parallel and Perpendicular Lines - 1:45
    • 137 - W3-23-Intersection of two lines - 3:06
    • 104 - W1-10-Ratio and Proportion - 3:00
    • 120 - W3-03-Length of a Line Segment - 2:18
    • 141 - W3-27-Activity2-Straight Lines Slope - 1:57
    • 113 - W1-2 9-Venn diagram n Flowchart - 3:26
    • 134 - W3-19-EXERCISE - Using 2nd formula for linear equation - 3:48
    • 97 - W1-03-Mathematical Operators and Precedence BODMAS - 4:03
    • 99 - W1-05-Rounding and Estimation - 2:36
    • 130 - W3-15-EXAMPLE3 - Equation of a straight line - 8:39
    • 140 - W3-26-Activity1-Straight Line Y intercept - 2:07
    • 102 - W1-08-Estimating - 1:33
    • 112 - W1-2 8-Real Numbers - 1:04
    • 107 - W1-2 3-Whole Numbers - 0:34
    • 138 - W3-24-EXAMPLE - Intersection of two lines - 4:03
    • 106 - W1-2 2-Natural Numbers - 1:04
    • 133 - W3-18-A second formula for a straight line - 7:17
    • 119 - W3-02-Coordinate System - continued - 2:55
    • 123 - W3-07-EXAMPLE-Midpoint of a Line Segment - 1:03
    • 118 - W3-01-Coordinate System - 2:53
    • 128 - W3-13-EXAMPLE1 - Equation of a straight line - 7:32
    • 142 - W3-28-Parallel and Perpendicular Lines - 1:48
    • 108 - W1-2 4-Integers - 0:44
    • 143 - W3-29-EXAMPLES-Parallel and Perpendicular Lines - 5:23
    • 98 - W1-04-Power and Roots - 1:52
    • 127 - W3-12-Gradient of a Straight Line - 4:28
    • 135 - W3-20-SUMMARY - 2:35
    • 100 - W1-06-Rounding with Decimal Places - 2:18
    • 105 - W1-2 1-Introduction to Number System - 0:28
    • 136 - W3-22-Equation of a Straight Line - 0:47
    • 103 - W1-09-Fractions, Decimals and Percentages - 2:27
    • 115 - W1-2 11-EXAMPLES 2 - 2:45
    • 109 - W1-2 5-Rational Numbers - 2:53
    • 101 - W1-07-Rounding with Significant Figures - 3:51
  • Basic Algebra Concepts (Additional Lessons) 2
    • 154 - 0408-Introduction to Asymptotes - 7:38
    • 161 - 0416-EXERCISE-Translations - 7:16
    • 174 - 0433-EXAMPLE-Manipulation of Graphs - 7:11
    • 152 - 0406-Validating graphs and functions - 4:29
    • 168 - 0425-SUMMARY-Reflections - 1:23
    • 159 - 0414-ACTIVITY-Translations - 5:19
    • 158 - 0413-Translations-Horizontal Shift - 7:08
    • 162 - 0417-Transformations- Stretching and Compression - 4:29
    • 169 - 0426-EXERCISE-Sketching Complex Graphs - 16:08
    • 173 - 0432-Basic Types of Graph Manipulation (2) - 7:03
    • 163 - 0418-ACTIVITY-Transformations - 2:52
    • 151 - 0405-Graph of a Linear Function - 2:08
    • 172 - 0431-Basic Types of Graph Manipulation (1) - 3:08
    • 166 - 0423-SUMMARY-Translations and Transformations - 5:51
    • 160 - 0415-SUMMARY-Translations - 4:38
    • 157 - 0412-Translations-Vertical Shift - 8:47
    • 167 - 0424-Reflections - 8:46
    • 155 - 0409-Limits - 4:30
    • 148 - 0402-Introduction to Functions - 5:24
    • 170 - 0427-SUMMARY - 2:52
    • 149 - 0403-Graphs of Common Functions - 5:09
    • 150 - 0404-Straight Line - 3:51
    • 164 - 0419-EXERCISE-Transformation - 3:32
    • 153 - 0407-Library of Functions - 5:51
    • 156 - 0410-Activity-Memorize these Graphs - 0:33
    • 171 - 0430-Common Graphs - 3:31
    • 175 - Congratulations - 1:49
    • 165 - 0420-SUMMARY-Stretches and Compression - 3:12

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Complete Electricity for Electronics, Electrical Engineering

Start Understanding & Solving Basic Electric Circuits Easily and Confidently!

By Kashif Altaf | in Online Courses

Electric Circuit is the fundamental building block of all Electrical and Electronic Systems, and you definitely need a solid understanding of these concepts to advance in anything Electrical in nature. This full course is the best way to jump right in and start understanding and solving Electric Circuits confidently, like never before.

4.7/5 stars on Udemy: ★ ★ ★ ★

  • Access 46 lectures & 4 hours of content 24/7
  • Understand fundamental concepts in DC Electric & Electronic circuits
  • Know the different quantities in electric circuits
  • Learn about Kirchoff's current & voltage laws
  • Distinguish series from parallel connections

"Great course for anyone who needs to know the working of circuits and the underlying physics! Highly recommended." – Adi Studios

Kashif Altaf | Best-Selling Instructor

4.4/5 Instructor Rating: ★ ★ ★ ★
42,495 Total Students
2,081 Reviews

Kashif Altaf holds a Masters in Engineering from a top U.S. university. He loves to teach and has 11 years of university-level teaching experience. Apart from traditional academics, he is passionate about online education and digital entrepreneurship. In addition to technical subjects, he is also interested in video editing and motion graphics.

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required:

Requirements

  • Ability to perform simple Algebraic calculations
  • High school Mathematics

Course Outline

  • Introduction and Circuit Variables
    • Introduction and Course Objectives - 1:16
    • Basic Units in SI system - 2:06
    • Derived SI units - 3:54
    • Prefixes for Powers of 10 - 2:53
    • Definition of Voltage - 2:14
    • Definition of Current - 2:00
    • The Ideal Basic Circuit Element - 5:27
    • Passive Sign Convention - 2:33
    • Electric Power & Energy - 1:57
    • The Power Equation - 2:05
    • The Algebraic Sign of Power - 4:23
    • EXAMPLE - Algebraic Sign of Power - 3:37
  • Circuit Elements
    • Introduction and Objectives of this Section - 2:18
    • Voltage and Current Sources - 4:25
    • Independent and Dependent Sources - 2:46
    • Circuit Symbols for Dependent Sources - 6:48
    • Electric Resistance - 5:16
    • Ohm's Law - 4:37
    • Power Dissipated in a Resistor - 4:06
    • EXAMPLE of Power Calculations - 13:48
    • What exactly are Electric Circuits - 1:59
    • What is Circuit Analysis - 1:47
    • Branches - 3:00
    • Nodes - 5:02
    • Reference Node or Datum Node - 3:51
    • EXAMPLE - Reference Node - 8:32
    • Loops and Meshes - 7:18
    • Series and Parallel Connections - 4:33
    • Example of Series and Parallel - 2:55
    • EXAMPLE - 8:06
    • Kirchoff's Laws - Introduction - 0:52
    • Kirchoff's Current Law (KCL) - 1:45
    • EXAMPLE - KCL - 8:14
    • Other forms of KCL - 2:42
    • Kirchoff's Voltage Law (KVL) - 2:52
    • EXAMPLE of KVL - 11:08
    • Other forms of KVL - 5:21
    • EXAMPLE - Using Ohms and Kirchoff's Laws to Solve Circuits - 19:44
    • Circuits Containing Dependent Sources - 10:14
    • EXAMPLE 2 - Circuits Containing Dependent Sources - 12:27
  • Resistive Circuits
    • Resistors in Series - 10:26
    • Resistors in Parallel - 12:37
    • EXAMPLE of Series and Parallel Resistors - 15:04
    • Voltage Divider Circuit - 7:37
    • Voltage Divider - Effect of Load and Tolerance - 5:05
    • EXAMPLE - Resistance Tolerances in Voltage Dividers - 7:36

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Complete Statistics for Data Science & Business Analytics

Master the Fundamentals of Statistics & Its Business Applications Using Real-World Examples

By Kashif Altaf | in Online Courses

Learning Statistics can be challenging if you are not in a university setting. But with this course, you take a university-level Statistics course at your convenience, that will equip you with all the fundamental concepts critically important in Probability and Statistics, Statistics for Data Science and Business Analysis. This course has both the breadth of Statistics topics and depth of content. By the end of this course, you would have mastered all the important fundamentals of Statistics.

4.2/5 stars on Udemy: ★ ★ ★ ★

  • Access 25 lectures & 4 hours of content 24/7
  • Interpret & draw histograms, pie charts, stem-and-leaf displays, box plots, and much more
  • Understand Z-scores & their usage
  • Organize & display different types of data
  • Take informed business decisions based on insights from data

"I'm amazed with the way trainer is explaining concepts. Statistical terms are used while explaining the concepts, which is very appealing." – Sriram

Kashif Altaf | Best-Selling Instructor

4.4/5 Instructor Rating: ★ ★ ★ ★
42,495 Total Students
2,081 Reviews

Kashif Altaf holds a Masters in Engineering from a top U.S. university. He loves to teach and has 11 years of university-level teaching experience. Apart from traditional academics, he is passionate about online education and digital entrepreneurship. In addition to technical subjects, he is also interested in video editing and motion graphics.

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: all levels

Requirements

  • Basic knowledge of high school Math

Course Outline

  • Introduction
    • Statistics and Descriptive Statistics - 10:19
    • Statistical Inference - 7:57
    • Data Warehousing and Data Mining - 9:31
    • Applications of Statistics and some definitions - 10:18
    • Scales of measurement and Categorical vs Quantitative Data - 15:22
    • Cross sectional, Time Series and Data Sources - 7:14
    • Experimental, Observational Studies and Ethics - 9:42
  • Descriptive Statistics - Graphical and Tabular Presentation of Data
    • Learning Goals for Section 2 - 3:44
    • Summarizing Data and Frequency Distributions - 10:51
    • Bar Charts, Pareto Diagrams & Pie Charts - 13:19
    • Steps to draw Frequency Distributions - 19:11
    • Dot Plots, Histograms and Skewness - 17:13
    • Cumulative Distributions and Ogives - 16:04
    • Stem & Leaf Displays - 28:02
    • Cross-tabulation - 20:27
    • Scatter Diagrams, Trendlines and Summary - 11:17
  • Measures of Variation in Data
    • Sample and Population Mean - 5:40
    • Median and Mode - 6:04
    • Percentile and Quartile - 11:15
    • Variability - Range and Interquartile Range - 7:15
    • Variability - Variance, Standard Deviation and Coefficient - 10:23
    • Skewness - 5:15
    • Z-scores and Chebyshev's Theorem - 13:45
    • Empirical Rule and Outliers - 8:45
    • Five Number Summary & Box Plot - 13:56

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Algebra 2: The Complete Course

The Fundamentals of Algebra II: Geometry, Equations, Inequalities, Functions, Graphs & More!

By Kashif Altaf | in Online Courses

This course will give you complete hands-on knowledge of Algebra 2, along with a lot of practical examples, practice problems, and assignments. With 93 lectures, this class will take you through mathematical operations, terms, exponents, inequalities, graphs, polynomials, and so much more!

4.6/5 stars on Udemy: ★ ★ ★ ★

  • Access 93 lectures & 5 hours of content 24/7
  • Understand the basics of numbers & their classifications
  • Deal w/ fractions, exponents, surds & their combinations
  • Learn about inequalities & sketch them on graph
  • Practice the proper order of mathematical operations
  • Sketch straight lines, parabolas & other common functions

Kashif Altaf | Best-Selling Instructor

4.4/5 Instructor Rating: ★ ★ ★ ★
42,495 Total Students
2,081 Reviews

Kashif Altaf holds a Masters in Engineering from a top U.S. university. He loves to teach and has 11 years of university-level teaching experience. Apart from traditional academics, he is passionate about online education and digital entrepreneurship. In addition to technical subjects, he is also interested in video editing and motion graphics.

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Any device with basic specifications

Course Outline

  • Introduction
    • Introduction - 0:29
  • Basic Math Concepts
    • Mathematical Operators and Precedence (BODMAS) - w1-03 - 4:03
    • Power and Roots - w1-04 - 1:52
    • Rounding and Estimation - w1-05 - 2:36
    • Rounding with Decimal Places - w1-06 - 2:18
    • Rounding with Significant Figures - w1-07 - 3:51
    • Estimating - w1-08 - 1:33
    • Fractions, Decimals and Percentages - w1-09 - 2:27
    • Ratio and Proportion - w1-10 - 3:00
    • Introduction to Number System - w1-2-1 - 0:28
    • Natural Numbers - w1-2-2 - 1:04
    • Whole Numbers - w1-2-3 - 0:34
    • Integers - w1-2-4 - 0:44
    • Rational Numbers - w1-2-5 - 2:53
    • Irrational Numbers - w1-2-6 - 1:41
    • EXERCISES - w1-2-7 - 1:06
    • Real Numbers - w1-2-8 - 1:04
    • Venn Diagram & Flowchart - w1-2-9 - 3:26
    • EXAMPLE 1 - w1-2-10 - 5:08
    • EXAMPLE 2 - w1-2-11 - 2:45
    • EXAMPLE 3 - w1-2-12 - 3:17
    • Simplifying Algebraic Fractions - w2-1-1 - 2:06
    • Multiplying and Dividing Algebraic Fractions - w2-1-2 - 1:46
    • Simplifying Multiple Algebraic Fractions - w2-1-3 - 6:45
    • Example 1 - w2-1-4 - 1:44
    • Example 2 - w2-1-5 - 1:47
    • Example 3 - w2-1-6 - 4:26
    • Practice Problem - w2-1-7 - 1:24
    • Solving Linear Equations - w2-1-8 - 4:21
    • Practice Problems - w2-1-9 - 0:44
    • Multiplying with Indices - w2-3-1 - 3:02
    • Dividing with Indices - w2-3-2 - 1:20
    • Powers of Powers - w2-3-3 - 1:21
    • Practice Exercises - w2-3-4 - 1:52
    • A Special Case - w2-3-5 - 1:27
    • Another Special Case of Indices - w2-3-6 - 2:47
    • Rational Indices - w2-3-7 - 4:08
    • Practice Exercises - w2-3-8 - 3:21
  • Coordinate Geometry and Straight Lines
    • Coordinate System - W3-01 - 2:53
    • Coordinate System continued - W3-02 - 2:55
    • Length of a Line Segment - W3-03 - 2:18
    • EXAMPLES - Length of a Line Segment - W3-04 - 1:59
    • EXERCISE - Length of a Line Segment - W3-05 - 1:12
    • EXAMPLE - Midpoint of a Line Segment - W3-07 - 1:03
    • EXERCISE - Midpoint of a Line Segment - W3-08 - 1:36
    • SUMMARY - W3-09 - 1:16
    • Equation of a straight line - W3-11 - 5:41
    • Gradient of a Straight Line - W3-12 - 4:28
    • EXAMPLE 1 - Equation of a straight line - W3-13 - 7:32
    • EXAMPLE 2 - Equation of a straight line - W3-14 - 5:38
    • EXAMPLE 3 - Equation of a straight line - W3-15 - 8:39
    • EXERCISE - Equation of a straight line - W3-16 - 3:45
    • Other forms of Linear Equations - W3-17 - 4:25
    • A second formula for a straight line - W3-18 - 7:17
    • EXERCISE - Using 2nd formula for linear equation - W3-19 - 3:48
    • SUMMARY - W3-20 - 2:35
    • Equation of a Straight Line - W3-22 - 0:47
    • Intersection of two lines - W3-23 - 3:06
    • EXAMPLE - Intersection of two lines - W3-24 - 4:03
    • Exercise - Intersection of Straight Lines - W3-25 - 1:26
    • Activity 1 - Straight Line Y intercept - W3-26 - 2:07
    • Activity 2 - Straight Lines Slope - W3-27 - 1:57
    • Parallel and Perpendicular Lines - W3-28 - 1:48
    • EXAMPLES - Parallel and Perpendicular Lines - W3-29 - 5:23
    • EXERCISE - Parallel and Perpendicular Lines - W3-30 - 1:45
    • Summary - W3-31 - 1:41
  • Functions, Graphs and Transformations
    • Introduction to Functions - 0402 - 5:24
    • Graphs of Common Functions - 0403 - 5:09
    • Straight Line - 0404 - 3:51
    • Graph of a Linear Function - 0405 - 2:08
    • Validating graphs and functions - 0406 - 4:29
    • Library of Functions - 0407 - 5:51
    • Introduction to Asymptotes - 0408 - 7:38
    • Limits - 0409 - 4:30
    • Activity - Memorize these Graphs - 0410 - 0:33
    • Translations - Vertical Shift - 0412 - 8:47
    • Translations - Horizontal Shift - 0413 - 7:08
    • ACTIVITY - Translations - 0414 - 5:19
    • SUMMARY - Translations - 0415 - 4:38
    • EXERCISE - Translations - 0416 - 7:16
    • Transformations - Stretching and Compression - 0417 - 4:29
    • ACTIVITY - Transformations - 0418 - 2:52
    • EXERCISE - Transformation - 0419 - 3:32
    • SUMMARY - Stretches and Compression - 0420 - 3:12
    • SUMMARY - Translations and Transformations - 0423 - 5:51
    • Reflections - 0424 - 8:46
    • SUMMARY - Reflections - 0425 - 1:23
    • EXERCISE - Sketching Complex Graphs - 0426 - 16:08
    • SUMMARY - 0427 - 2:52
    • Common Graphs - 0430 - 3:31
    • Basic Types of Graph Manipulation (1) - 0431 - 3:08
    • Basic Types of Graph Manipulation (2) - 0432 - 7:03
    • EXAMPLE - Manipulation of Graphs - 0433 - 7:11

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Matrices: Learn the Foundations for Linear Algebra

Use Matrices to Solve Simultaneous Linear Equations

By Kashif Altaf | in Online Courses

This is an introductory course on Matrices. It is intended for high school or undergraduate students, or professionals who want to brush up their knowledge of basic Algebra and Matrices. With lots of examples and problems, this course will help you practice and perfect problem-solving. The course will lay a great foundation for advanced courses in Data Science, Algebra, Linear Algebra, Machine Learning, and more.

5.0/5 stars on Udemy: ★ ★ ★ ★ ★

  • Access 12 lectures & 1 hour of content 24/7
  • Perform basic Matric operations
  • Understand computer determinants
  • Learn about compute inverse of matrices
  • Solves systems of linear equations using matrices

"So far basics are being taught with great detail, very nice!" – Anna Nuria

Kashif Altaf | Best-Selling Instructor

4.4/5 Instructor Rating: ★ ★ ★ ★
42,495 Total Students
2,081 Reviews

Kashif Altaf holds a Masters in Engineering from a top U.S. university. He loves to teach and has 11 years of university-level teaching experience. Apart from traditional academics, he is passionate about online education and digital entrepreneurship. In addition to technical subjects, he is also interested in video editing and motion graphics.

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Basic understanding of Arithmetic
  • Basic knowledge of Algebra

Course Outline

  • Introduction
    • Introduction to Matrices - 1 - 4:56
    • Types of Matrices - 2 - 6:13
  • Matrix Arithmatic
    • Addition and Subtraction of Matrices - 3 - 7:38
    • Scalar multiplication with Matrices - 4 - 2:16
    • Matrix Multiplication - 5 - 18:29
  • Determinants & Inverse of 2X2 Matrices
    • Inverse and determinants of 2x2 matrices - 6 - 5:07
    • Calculating the inverse of a 2x2 matrix - 7 - 4:12
    • Example of Calculating inverse of 2x2 matrix - 8 - 3:22
  • Using Matrices to solve Simultaneous Linear Equations
    • Using Matrices to Solve Simultaneous Linear Equations - 9 - 10:28
    • Example of solving simultaneous linear equations using matrices - 10 - 7:40
    • Challenge Question - Solving equations using Matrices - 11 - 2:29
  • Conclusion
    • Summary - 12 - 10:41

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  • Unredeemed licenses can be returned for store credit within 30 days of purchase. Once your license is redeemed, all sales are final.