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#Engineering Mathematics

Showing: 77 courses
Massachusetts Institute of Technology

Engineering Mathematics: Linear Algebra and ODEs, Fall 2014

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Explore linear algebra and ODEs, covering numerical solutions for equation systems. Learn first and second-order equations with renowned instructor Gilbert Strang.
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4 Lesons
5 hours
On-Demand
Free-Video
University of Washington

Engineering Mathematics

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Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
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59 Lesons
1 day 23 hours
On-Demand
Free-Video
Gautam Varde

Regression Analysis - Advanced Mathematics for Engineering and Business

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Explore regression analysis in this 10-minute video tutorial covering key concepts and numerical problems. Delve into advanced mathematics and engineering mathematics, focusing on measures of dispersion. Gain valuable insights for BTech, JEE, BBA, BCA, B…
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1 Lesons
10 minutes
On-Demand
Free-Video

Laplace Transform

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Master Laplace Transform: definition, essential transforms, inverse transforms, and applications in solving differential equations. Gain practical skills through extensive problem-solving exercises.
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22 Lesons
3 hours 30 minutes
On-Demand
Free-Video
StudyIQ IAS

GATE and IES Preparation 2022

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Comprehensive preparation for GATE and IES exams, covering key engineering topics with strategies from top-ranked candidates. Includes in-depth lectures on various subjects and exam preparation techniques.
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21 Lesons
13 hours
On-Demand
Free-Video
Steve Brunton

Engineering Math Pre-Req - Quick and Dirty Introduction to Python

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High-level introduction to essential Python commands for engineering math, covering arithmetic, loops, arrays, plotting, and solving equations and differential equations.
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7 Lesons
42 minutes
On-Demand
Free-Video
Steve Brunton

Engineering Math Pre-Req - Quick and Dirty Introduction to Matlab

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High-level introduction to essential Matlab commands for engineering math, covering arithmetic, loops, matrices, plotting, and solving equations and differential equations.
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6 Lesons
35 minutes
On-Demand
Free-Video
5 Minutes Engineering

Discrete Mathematics Fundamentals - A Comprehensive 4-Hour Course in Hindi

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Comprehensive overview of discrete mathematics concepts, including set theory, logic, graph theory, and number theory, explained in Hindi for engineering students.
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1 Lesons
4 hours 36 minutes
On-Demand
Free-Video
Steve Brunton

Fourier Transform to Solve PDEs - 1D Heat Equation on Infinite Domain

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Explore solving the 1D heat equation on an infinite domain using Fourier transforms. Learn key concepts, inverse transforms, and physical properties in engineering mathematics.
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5 Lesons
43 minutes
On-Demand
Free-Video
Steve Brunton

Properties of Fourier Transforms and Examples

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Explore key properties and applications of Fourier transforms in engineering mathematics, enhancing your understanding of this fundamental concept through practical examples and in-depth explanations.
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9 Lesons
48 minutes
On-Demand
Free-Video
Gautam Varde

Diesel Cycle Numericals - Basic Mechanical Engineering

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Learn to solve diesel cycle numerical problems for basic mechanical engineering, essential for first-year BTech/BE students.
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1 Lesons
15 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method - Basic Framework of FEM

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Explore the fundamental concepts and framework of the Finite Element Method (FEM) in this introductory video lecture.
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1 Lesons
25 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Weak Form of 1D-FEM - Part 1

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Explore the weak form of 1D Finite Element Method in this concise tutorial, focusing on fundamental concepts and practical applications in numerical analysis.
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1 Lesons
19 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method - Summary of FEM Procedure

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Explore the 2D Finite Element Method procedure, covering key steps and applications in engineering analysis. Gain insights into this powerful numerical technique for solving complex problems.
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1 Lesons
14 minutes
On-Demand
Free-Video
Steve Brunton

Laplace Transform and ODEs

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Explore Laplace transforms and ODEs in engineering mathematics, covering key concepts like characteristic polynomials and inverse transforms with practical examples and applications.
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9 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

FFT and Image Compression

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Explore FFT-based image compression techniques, including natural image analysis, compression algorithms, and practical examples for efficient data representation.
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6 Lesons
44 minutes
On-Demand
Free-Video
Steve Brunton

Fourier Series

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Explore Fourier Series: representation of functions, L2 integral norm, and MATLAB examples. Gain practical insights into engineering mathematics with real-world applications.
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7 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Infinite Dimensional Function Spaces and Fourier Series

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Explore infinite dimensional function spaces and Fourier series, covering inner product spaces, orthogonal functions, and complex functions in engineering mathematics.
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6 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Fourier Transforms

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Explore the powerful Fourier transform, its applications in engineering, and its connection to orthogonal basis functions and Fourier series in this comprehensive mathematical lecture.
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7 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Canonical Linear PDEs- Wave Equation, Heat Equation, and Laplace's Equation

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Explore fundamental linear PDEs: wave, heat, and Laplace's equations. Gain insights into their properties, applications, and mathematical foundations in engineering and physics.
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13 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Heat Equation- Derivation and Equilibrium Solution in 1D - Laplace's Equation

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Explore the derivation and equilibrium solution of the heat equation in 1D, including Laplace's equation, boundary conditions, and practical applications in engineering mathematics.
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9 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Roots of Unity, Branch Cuts, Analytic Functions, and the Cauchy-Riemann Conditions

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Explore complex analysis concepts including roots of unity, branch cuts, and Cauchy-Riemann conditions in this advanced engineering mathematics lecture.
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10 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Complex Numbers and Functions

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Explore complex numbers, Euler's formula, and functions of Z in engineering mathematics, covering geometric interpretations and convergent Taylor series.
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8 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Potential Flow and Laplace's Equation

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Explore potential flow and Laplace's equation in engineering mathematics, covering vector fields, heat conduction, and practical applications in fluid dynamics and thermodynamics.
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8 Lesons
46 minutes
On-Demand
Free-Video
Steve Brunton

Chaos in ODEs - Lorenz and the Double Pendulum

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Explore chaos in ordinary differential equations through Lorenz systems and double pendulum examples, examining numerical integration challenges and chaotic dynamics in engineering mathematics.
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11 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Review of Calculus and First Order Linear ODEs

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Comprehensive review of calculus fundamentals and introduction to first-order linear ODEs, with practical examples and applications in engineering mathematics.
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6 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Overview of Engineering Mathematics

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Explore engineering mathematics through weather modeling, covering fluid dynamics, disease networks, and systems of equations using MATLAB.
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12 Lesons
41 minutes
On-Demand
Free-Video
NIOS

NOC - Partial Differential Equations for Engineers - Solution

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Explore advanced techniques for solving partial differential equations in engineering, covering various coordinate systems and problem types across multiple dimensions.
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18 Lesons
9 hours
On-Demand
Free-Video
Steve Brunton

Laplace Transform Solutions to PDEs

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Explore Laplace transform techniques for solving partial differential equations, enhancing your understanding of advanced mathematical methods in engineering applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Convolution Integrals, Impulse and Step Responses

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Explore convolution integrals, impulse response, and step response in engineering mathematics, enhancing understanding of system behavior and analysis techniques.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

The Laplace Transform

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Explore the Laplace Transform in engineering mathematics, covering its applications and fundamental principles. Gain insights into this powerful tool for solving differential equations and analyzing systems.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Solution to Laplace's Equation in Matlab - Intro to Fourier Series

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Explore numerical solutions to Laplace's Equation using MATLAB and get introduced to Fourier Series in this engineering mathematics lecture, with practical code examples and comprehensive notes provided.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Heat Equation in 2D and 3D - 2D Laplace Equation on Rectangle

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Explore multidimensional heat equations and the 2D Laplace equation on rectangles, advancing your understanding of engineering mathematics and partial differential equations.
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1 Lesons
47 minutes
On-Demand
Free-Video
Steve Brunton

Analytic Solution to Laplace's Equation in 2D - On Rectangle

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Explore the analytic solution to Laplace's equation in 2D on a rectangle, enhancing your understanding of engineering mathematics and partial differential equations.
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1 Lesons
48 minutes
On-Demand
Free-Video
Steve Brunton

Inverse Laplace Transform and the Bromwich Integral

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Explore the inverse Laplace transform and Bromwich integral in engineering mathematics, focusing on applications and problem-solving techniques for complex systems analysis.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

ML Bounds and Examples of Complex Integration

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Explore ML Bounds and complex integration techniques in engineering mathematics, enhancing problem-solving skills for advanced mathematical applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Cauchy Integral Formula

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Explore the Cauchy Integral Formula in complex analysis, a fundamental tool for evaluating contour integrals and analyzing holomorphic functions in engineering mathematics.
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1 Lesons
48 minutes
On-Demand
Free-Video
Steve Brunton

Integration in the Complex Plane - Cauchy-Goursat Integral Theorem

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Explore integration in the complex plane and the Cauchy-Goursat Integral Theorem, essential concepts in engineering mathematics for advanced problem-solving techniques.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Stokes' Theorem and Conservative Vector Fields

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Explore Stokes' theorem and conservative vector fields in engineering mathematics, focusing on applications and theoretical foundations for advanced problem-solving in fluid dynamics and electromagnetics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Div, Grad, and Curl

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Explore fundamental vector calculus concepts: divergence, gradient, and curl. Learn their applications in engineering mathematics through clear explanations and examples.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Linear Algebra in 2D and 3D - Inner Product, Norm of a Vector, and Cross Product

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Explore fundamental concepts of linear algebra in 2D and 3D spaces, including inner product, vector norms, and cross product, essential for engineering mathematics applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Gauss's Divergence Theorem

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Explore Gauss's Divergence Theorem in engineering mathematics, understanding its applications and significance in vector calculus and fluid dynamics.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Directional Derivative, Continuity Equation, and Examples of Vector Fields

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Explore directional derivatives, continuity equations, and vector field examples in engineering mathematics, enhancing understanding of fluid dynamics and electromagnetic theory applications.
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1 Lesons
46 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Solutions to ODEs - Forward and Backward Euler

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Explore numerical methods for solving ordinary differential equations, focusing on Forward and Backward Euler techniques in engineering mathematics applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Integration and Numerical Solutions to ODEs

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Explore numerical methods for integration and solving ordinary differential equations, enhancing your computational skills in engineering mathematics.
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1 Lesons
47 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Differentiation and Numerical Integration

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Explore numerical differentiation and integration techniques in engineering mathematics, covering key concepts and practical applications for solving complex problems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Differentiation Using Finite Difference

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Explore numerical differentiation techniques using finite difference methods, with practical applications in engineering mathematics and accompanying Matlab code examples.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Degenerate Systems of Equations and Non-Normal Energy Growth

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Explore degenerate equation systems and non-normal energy growth in engineering mathematics, focusing on key concepts and practical applications in dynamic systems analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

ODEs with External Forcing and the Convolution Integral

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Explore inhomogeneous ODEs and convolution integrals, learning to solve differential equations with external forcing for advanced engineering applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

ODEs with External Forcing - Inhomogeneous ODEs

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Explore inhomogeneous ODEs and external forcing in engineering mathematics, covering key concepts and applications for solving complex differential equations.
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1 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

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Explore 2x2 systems of ODEs, eigenvalues, eigenvectors, and phase portraits in engineering mathematics. Learn to analyze and visualize complex dynamical systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

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Explore linearization techniques for nonlinear ODEs, analyze 2x2 systems, and visualize phase portraits in this advanced engineering mathematics lecture.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Eigenvalues, Eigenvectors, and Dynamical Systems

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Explore eigenvalues, eigenvectors, and dynamical systems in engineering mathematics, focusing on their applications and significance in solving complex problems.
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1 Lesons
47 minutes
On-Demand
Free-Video
Steve Brunton

Higher-Order ODEs, Characteristic Equation, Matrix Systems of First Order ODEs

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Explore higher-order linear ODEs, characteristic equations, and matrix systems of first-order equations in engineering mathematics, with accompanying notes and MATLAB code.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Taylor Series and Solutions to First and Second Order Linear ODEs

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Explore Taylor series and solutions to linear ODEs, enhancing your understanding of engineering mathematics with practical applications and MATLAB code examples.
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1 Lesons
53 minutes
On-Demand
Free-Video
The Royal Institution

What's the Point of Mathematics? - Mathematical Modeling Applications

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Explore the real-world applications and significance of mathematics with Dr. Nira Chamberlain, a renowned expert in mathematical modeling across various industries.
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1 Lesons
55 minutes
On-Demand
Free-Video
Gautam Varde

Standard Deviation and Variance - Examples and Problems in Statistics

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Learn to calculate standard deviation for discrete and grouped data series, essential for statistics and engineering mathematics.
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1 Lesons
14 minutes
On-Demand
Free-Video
Gautam Varde

Poisson Distribution - Probability Problems for Mathematics

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Explore Poisson distribution through practical problems, enhancing understanding of probability concepts for engineering and science students.
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1 Lesons
10 minutes
On-Demand
Free-Video
Gautam Varde

Two-Dimensional Conditional Probability Distribution - Advanced Mathematics

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Explore 2D conditional probability distribution with numerical examples, essential for engineering and science students in probability and statistics.
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1 Lesons
10 minutes
On-Demand
Free-Video
Gautam Varde

Cumulative Distribution Function - Numericals and Problems for BTech and BSc

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Explore cumulative distribution functions (CDF) through practical examples, enhancing understanding of probability theory for engineering and science students.
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1 Lesons
12 minutes
On-Demand
Free-Video
Gautam Varde

Mathematical Expectation - Problems in Probability and Statistics

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Explore mathematical expectation concepts and solve problems in probability and statistics for engineering, BSc, and JEE preparation.
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1 Lesons
10 minutes
On-Demand
Free-Video
Gautam Varde

Discrete Probability Distribution - Concepts and Numerical Examples

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Explore discrete probability distributions through numerical examples and key concepts, essential for engineering, BSc, and Class 12 mathematics in probability and statistics.
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1 Lesons
10 minutes
On-Demand
Free-Video
Gautam Varde

Conditional Probability and Total Probability - Engineering Mathematics

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Explore conditional and total probability concepts with practical problems, enhancing your understanding of these crucial engineering mathematics topics.
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1 Lesons
12 minutes
On-Demand
Free-Video
Gautam Varde

Probability: Picking Colored Balls from a Box or Bag - Advanced Mathematics

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Learn to solve probability problems involving colored balls in boxes or bags, with applications in engineering and advanced mathematics.
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1 Lesons
14 minutes
On-Demand
Free-Video
Gautam Varde

Probability: Coins and Dice Problems in Advanced Mathematics

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Solve probability problems involving coins and dice using advanced mathematical techniques for engineering and higher-level mathematics students.
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1 Lesons
17 minutes
On-Demand
Free-Video
Gautam Varde

Gauss Divergence Theorem - Proof and Applications in Vector Calculus

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Explore the Gauss Divergence Theorem with a clear, concise proof. Gain insights into vector calculus and its applications in engineering and mathematics.
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1 Lesons
11 minutes
On-Demand
Free-Video
Gautam Varde

Fourier Integral - Cosine and Sine Integrals with Important Problems

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Explore Fourier Integral concepts, including cosine and sine integrals, through clear explanations and problem-solving techniques for engineering applications.
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1 Lesons
16 minutes
On-Demand
Free-Video
Gautam Varde

Laplace Transform of Periodic Function - Engineering Mathematics Problem

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Learn to apply Laplace transforms to periodic functions, focusing on square waves. Gain practical skills for solving engineering math problems involving periodic signals.
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1 Lesons
12 minutes
On-Demand
Free-Video
Gautam Varde

Laplace Transforms of Derivatives - Problems in Engineering Mathematics

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Learn to solve problems involving Laplace transforms of derivatives, a key concept in engineering mathematics for analyzing differential equations and system behavior.
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1 Lesons
11 minutes
On-Demand
Free-Video
Gautam Varde

First Shifting Theorem in Laplace Transform - Problems and Applications

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Learn to apply the First Shifting Theorem in Laplace transforms, with practical examples and problem-solving techniques for engineering mathematics.
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1 Lesons
12 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

ME3255 - Define and Integrate Differential Equations

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Define and integrate differential equations, exploring key concepts and techniques for solving various types of equations in mechanical engineering applications.
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1 Lesons
28 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

ME3255 - Linear Algebra Work for Finite Element Solutions

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Explore linear algebra techniques for solving finite element problems in engineering applications. Enhance computational skills for advanced numerical analysis.
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1 Lesons
30 minutes
On-Demand
Free-Video
Math Sorcerer

Matrix Algebra for Engineers - Don't Be an Engineering Poser, Study Real Math

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Discover a powerful book for engineers to master matrix algebra, enhancing mathematical skills crucial for real-world engineering applications and problem-solving.
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1 Lesons
14 minutes
On-Demand
Free-Video
Steve Brunton

Solving PDEs in Matlab Using FFT

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Learn to solve partial differential equations efficiently using Fast Fourier Transform in MATLAB, enhancing your engineering mathematics skills for advanced problem-solving.
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1 Lesons
50 minutes
On-Demand
Free-Video
Michael Penn

Building the Fourier Transform

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Explore the construction and principles of the Fourier transform, a powerful mathematical tool for analyzing signals and functions in various scientific and engineering applications.
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1 Lesons
23 minutes
On-Demand
Free-Video
Gautam Varde

Newton Raphson Method for Finding Roots of Equations - Numerical Solutions

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Master the Newton Raphson method for finding equation roots through step-by-step numerical solutions and practical examples suitable for engineering and mathematics students.
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1 Lesons
14 minutes
On-Demand
Free-Video
Gautam Varde

Secant Method and Chord Method for Finding Roots of Equations - Numerical Solutions

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Master numerical solutions for finding equation roots using Secant and Chord methods, with practical applications in engineering and mathematical problem-solving.
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1 Lesons
12 minutes
On-Demand
Free-Video