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 AV Mathematics Program for EC Engineering students! Elevate your mathematical prowess with our online engineering mathematics course tailored for EC Engineering students at Visvesvaraya Technological University (BMATEC301). Uncover the essentials as you journey through Modules 1 to 5: Ordinary Differential Equations of Higher Order, Fourier Series, Fourier Transforms, Z-Transforms, and Curve Fitting, Correlation, and Regressions. This course seamlessly blends theory and application, empowering you with the mathematical tools crucial for excelling in Mechanical Engineering. You'll explore periodic functions, Fourier series, infinite Fourier transforms, and Z-transforms, alongside practical applications like solving difference equations and fitting curves using the least squares method. Our approach incorporates captivating images, lucid lectures, Excel sheets, scientific calculators, and 2D/3D animations, ensuring you not only understand the mathematics behind engineering principles but also gain the confidence to apply them in real-world scenarios.
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 - Introduction 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 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)
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 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)
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Course Duration0
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Course LevelIntermediate
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LanguageEnglish
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