What you will learn
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Important Formulae and Procedures
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Derivations
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Engineering relevance of critical concepts
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Model Question Paper Problems
Welcome to the Mathematics Program for EE Engineers! Elevate your mathematical prowess with our online engineering mathematics course tailored for Electronics & Computers Engineering students at Visvesvaraya Technological University (BMATE301). Uncover the essentials as you journey through Modules 1 to 5: Ordinary Differential Equations of Higher Order, Fourier Series, Fourier Transforms and Z-transforms, Curve Fitting, Correlation, and Regressions, and Probability Distributions. This course seamlessly blends theory and application, empowering you with the mathematical tools crucial for excelling in Mechanical Engineering. You'll learn the importance of higher-order ordinary differential equations in Electrical & Electronics Engineering applications, including methods like the inverse differential operator and variation of parameters, as well as linear differential equations with variable coefficients such as Cauchy’s and Legendre’s differential equations. In Curve Fitting, Correlation, and Regressions, principles of least squares, correlation coefficients, regression lines, and rank correlation will be covered. Fourier Series will delve into periodic functions, Dirchlet’s condition, and practical harmonic analysis, while Fourier Transforms and Z-transforms will include infinite Fourier transforms, inverse transforms, and applications to difference equations. Probability Distributions will cover basic probability theory, random variables, and distributions such as Binomial, Poisson, and Normal. Our approach includes captivating images, lucid lectures, Excel sheets, scientific calculators, and 2D/3D animations to ensure you not only understand the mathematics behind engineering principles but also gain the confidence to apply them in real-world scenarios.
Higher Order DE's - Problems: (Problem 2 - CF)
Higher Order DE's - Problems: (Problem 3 - CF)
Higher Order DE's - Problems: (Problem 4 - CF)
Higher Order DE's - Problems: (Problem 5 - CF)
Higher Order DE's - Problems: (Problem 6 - CF)
Higher Order Differential Equations - (Understanding General solution for Particular Integral (PI))
Higher Order DE's - Problems: (Problem 1 - CF+PI)
Higher Order DE's - Problems: (Problem 2 - CF+PI)
Higher Order DE's - Problems: (Problem 3 - CF+PI)
Higher Order DE's - Problems: (Problem 4 - CF+PI)
Higher Order DE's - Problems: (Problem 5 - CF+PI)
Higher Order DE's - Problems: (Problem 6 - CF+PI)
Higher Order DE's - Problems: (Problem 7 - CF+PI)
Cauchy and Legendre homogenous equations: (Introduction to Cauchy and Legendre homogenous equations )
Cauchy and Legendre homogenous equations - Problems: (Problem 2 - Cauchy DE)
Cauchy and Legendre homogenous equations - Problems: (Problem 3 - Cauchy DE)
Cauchy and Legendre homogenous equations - Problems: (Problem 4 - Cauchy DE)
Cauchy and Legendre homogenous equations - Problems: (Problem 5 - Legendre DE)
Cauchy and Legendre homogenous equations - Problems: (Problem 6 - Legendre DE)
Cauchy and Legendre homogenous equations - Problems: (Problem 7 - Legendre DE)
Introducing the Need for Regression
Understanding Simple Linear Regression
Limitation of Linear Regression
Understanding Rank Correlation Coefficient
Set 1 - Numericals: (Problem 1)
Set 1 - Numericals: (Problem 3)
Set 1 - Numericals: (Problem 4)
Set 1 - Numericals: (Problem 5)
Set 1 - Numericals: (Problem 6)
Set 1 - Numericals: (Problem 7)
Set 1 - Numericals: (Problem 8)
Fitting a curve of the form - 1
Set 2 - Numericals: (Problem 2 - Linear Curve Fitting)
Fitting curve of the form - 2
Set 2 - Numericals: (Problem 1 - Exponential Curve Fitting)
Set 2 - Numericals: (Problem 1 - Parabolic Curve Fitting)
Set 2 - Numericals: (Problem 2 - Parabolic Curve Fitting)
Infinite Series Examples - (Example 2)
Introduction to Periodic Functions
Periodic Functions Examples - (Example 1)
Periodic Functions Examples - (Example 2)
Periodic Functions Examples - (Example 3)
Periodic Functions Examples - (Example 5)
Periodic Functions - Quick Solving Trick
Understanding Orthogonal Functions
Understanding Dirichlet's Conditions for Fourier Series
Fourier Series for periodic functions with period 2pi and arbitrary period - (Introduction)
Fourier Series - Inroduction and Derivation
Understanding Odd and Even Functions
Odd and Even functions - (Example 1 - Even Function)
Odd and Even functions - (Example 2 - Even Function)
Odd and Even functions - (Example 3 - Even Function)
Odd and Even functions - (Example 4 - Odd Function)
Odd and Even functions - (Example 6 - Odd Function)
Odd and Even functions - (Example 7 - Even Function)
Odd and Even functions - (Example 8 - Odd Function)
Odd and Even functions - (Example 9 - Odd Function)
Odd and Even functions - (Example 10)
Odd and Even Functions - Quick Recap
Fourier Series - Problems: (Problem 1)
Fourier Series - Problems: (Problem 2)
Fourier Series - Problems: (Problem 4)
Fourier Series - Problems: (Problem 5)
Fourier Series - Problems: (Problem 6)
Fourier Series - Problems: (Problem 7)
Introduction to Half range Fourier Series
Half range Fourier Series - Problems: (Problem 1)
Half range Fourier Series - Problems: (Problem 2)
Introducing Practical Harmonic Analysis
Practical Harmonic Analysis - Problems: (Problem 1)
Practical Harmonic Analysis - Problems: (Problem 2)
Practical Harmonic Analysis - Problems: (Problem 3)
Applications - Variation of Periodic Current
Order of Learning - Curriculum
Fourier & Inverse Fourier Transforms - Problems: (Problem 1)
Fourier & Inverse Fourier Transforms - Problems: (Problem 2)
Fourier & Inverse Fourier Transforms - Problems: (Problem 3)
Fourier & Inverse Fourier Transforms - Problems: (Problem 4)
Fourier & Inverse Fourier Transforms - Problems: (Problem 5)
Introducing Fourier & Inverse Fourier sine & cosine Transforms (Understanding Negative Frequency)
sine & cosine Fourier & Inverse Fourier Transforms - Problems: (Problem 1)
sine & cosine Fourier & Inverse Fourier Transforms - Problems: (Problem 3)
sine & cosine Fourier & Inverse Fourier Transforms - Problems: (Problem 4)
sine & cosine Fourier & Inverse Fourier Transforms - Problems: (Problem 5)
sine & cosine Fourier & Inverse Fourier Transforms - Problems: (Problem 6)
sine & cosine Fourier & Inverse Fourier Transforms - Problems: (Problem 7)
Introducing Damping and Shifting Rules
Z-Transforms - Problems: (Problem 1)
Z-Transforms - Problems: (Problem 2)
Z-Transforms - Problems: (Problem 4)
Z-Transforms - Problems: (Problem 5)
Z-Transforms - Problems: (Problem 6)
Introducing Inverse Z-Transforms
Inverse Z-Transforms - Problems: (Problem 1)
Inverse Z-Transforms - Problems: (Problem 2)
Inverse Z-Transforms - Problems: (Problem 4)
Understanding Finite Differences for Difference Equations
Understanding the Idea of Difference Equations
Difference Equations - Problems: (Problem 1)
Difference Equations - Problems: (Problem 3)
Difference Equations - Problems: (Problem 4)
Conditional Probability vs Bayes' Theorem
Fundamentals of Probability - Summary
Understanding Discrete Random Variables and Probability Mass Function
Understanding Continuous Random Variables and Probability Density Function
Mathematical Expectation - Concept of Mean
Mathematical Expectation - Concept of Variance
Set 2 - Numericals: (Problem 1)
Set 2 - Numericals: (Problem 2 &3)
Understanding Normal Distribution - Introduction (Key Takeaways)
Understanding Normal Distribution - What is a bell curve?
Understanding Normal Distribution - Equation & Interpretation
Understanding Normal Distribution - Cummulative probability
Understanding Normal Distribution - Z-Score & Z-Tables
Understanding Normal Distribution - Data Fitting
Understanding Normal Distribution - Understanding moments (Beyond Curriculum)
Set 3 - Normal Distributions - Numericals: (Problem 1)
Set 3 - Normal Distributions - Numericals: (Problem 2)
Understanding Exponential Distribution - Equation & Interpretation
Set 3 - Exponential Distributions - Numericals: (Problem 1)
Set 3 - Exponential Distributions - Numericals: (Problem 2)
Set 3 - Continuous Probability Distributions - Numericals: (Problem 3)
Set 3 - Continuous Probability Distributions - Numericals: (Problem 4)
Understanding Binomial Distribution - Equation & Interpretation
Litracy for Derivation of Mean & Variance for Binomial & Poisson Distributions
Binomial Distribution - Mean
Binomial Distribution - Variance
Understanding Poisson Distribution - Equation & Interpretation
Poisson Distribution - Mean
Poisson Distribution - Variance
Set 3 - Binomial Distributions - Numericals: (Problem 1)
Set 3 - Binomial Distributions - Numericals: (Problem 2)
Set 3 - Poisson Distributions - Numericals: (Problem 3)
Set 3 - Poisson Distributions - Numericals: (Problem 4)
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Course Duration0
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Course LevelIntermediate
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LanguageEnglish
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