Engineering Mathematics - II (BMATM201 & BMATC201)

Mathematics - II for Mechanical and Civil engineering stream

Math Inova

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What you will learn

  • Important Formulae and Procedures

  • Derivations

  • Engineering relevance of critical concepts

  • Model Question Paper Problems

BMATM201 & BMATC201: Mathematics 2 for Mechanical & Civil Engineering stream (also perfectly aligned to 21MAT21). Discover our comprehensive online engineering mathematics course designed specifically for Mechanical & Civil Engineering students at Visvesvaraya Technological University. With course code BMATM201 and BMATC201, "Mathematics-II for Mechanical & Civil Engineering of Visvesvaraya Technological University (VTU)," you'll delve into essential topics including Integral Calculus, Vector Calculus, Partial Differential Equations (PDEs), and Numerical Methods - both in Module-4 and Module-5. Elevate your understanding and skills in these fundamental areas through our accessible and interactive online platform.

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Understanding the Examiner's Expectations
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Why learn Multiple Integrals

Understanding the Idea of Double Integral to compute Area

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Understanding the Idea of Double Integral to compute Volume
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Understanding the Idea of Triple Integral

Understanding the concept of Limits - Situation 1

Understanding the concept of Limits - Situation 2

Learning Matrix/Order

Evaluation of Double & Triple Integrals - (Problem 1)

Evaluation of Double & Triple Integrals - (Problem 2)

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Evaluation of Double & Triple Integrals - (Problem 3)
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Evaluation of Double & Triple Integrals - (Problem 4)

Understanding changing the order of Integration

Double integrals by changing the order of Integration - (Problem 1)

Double integrals by changing the order of Integration - (Problem 2)

Double integrals by changing the order of Integration - (Problem 3)

Double integrals by changing the order of Integration - (Problem 4)

Double integrals by changing the order of Integration - (Problem 5)

Switching to Polar Coordinates

Switching to Polar Coordinates - Problems: (Problem 1)

Switching to Polar Coordinates - Problems: (Problem 2)

Switching to Polar Coordinates - Problems: (Problem 3)

Switching to Polar Coordinates - Problems: (Problem 4)

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Applications of Double and Triple Integrals - (Problems 1)
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Applications of Double and Triple Integrals - (Problems 2)

Applications of Double and Triple Integrals - (Problems 3)

Applications of Double and Triple Integrals - (Problems 3 - High School Method)

Applications of Double and Triple Integrals - (Problems 4 - Introduction to generating volume by revolution)

Applications of Double and Triple Integrals - (Problems 4 - Solution)

Applications of Double and Triple Integrals - (Problems 5)

Introduction to Beta & Gamma Function

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Important results for Gamma Functions
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Relation between Beta & Gamma Functions

Beta & Gamma Functions - Problems: (Problem 1)

Beta & Gamma Functions - Problems: (Problem 2)

Beta & Gamma Functions - Problems: (Problem 3)

Beta & Gamma Functions - Problems: (Problem 4)

Beta & Gamma Functions - Problems: (Problem 5)

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Understanding the Concept of Gradient
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Understanding the Concept of Divergence

Understanding the concept of Curl

Gradient, Divergence & Curl - Formula and Procedure

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Gradient, Divergence & Curl - Problems: (Problem 1 - Gradient)
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Gradient, Divergence & Curl - Problems: (Problem 2 - Gradient)

Gradient, Divergence & Curl - Problems: (Problem 3 - Divergence)

Gradient, Divergence & Curl - Problems: (Problem 4 - Divergence)

Gradient, Divergence & Curl - Problems: (Problem 5 - Divergence & Curl)

Gradient, Divergence & Curl - Problems: (Problem 6 - Curl)

Gradient, Divergence & Curl - Problems: (Problem 7 - Curl)

Gradient, Divergence & Curl - Problems: (Problem 8 - Directional Derivative)

Gradient, Divergence & Curl - Problems: (Problem 9 - Directional Derivative)

Gradient, Divergence & Curl - Problems: (Problem 10 - Gradient)

Gradient, Divergence & Curl - Problems: (Problem 11 - Gradient)

Gradient, Divergence & Curl - Problems: (Problem 11 - Curl of a Gradient)

Gradient, Divergence & Curl - Problems: (Problem 11 - Divergence of a Curl)

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Introduction to Line Integral (For Work done)
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Line Integral - Problems: (Problem 1)

Line Integral - Problems: (Problem 2)

Line Integral - Problems: (Problem 3)

Important Observations for Problems 2 & 3

Line Integral - Problems: (Problem 4)

Line Integral - Problems: (Problem 5)

Introduction to Stoke's Theorem

Introduction to Green's Theorem

Green & Stoke's Theorem - Problems: (Problem 1 - Stoke's Theorem)

Green & Stoke's Theorem - Problems: (Problem 1 (verification) - Stoke's Theorem)

Green & Stoke's Theorem - Problems: (Problem 2 - Stoke's Theorem - Using Line Integral)

Green & Stoke's Theorem - Problems: (Problem 3 - Stoke's Theorem - Using Double Integral)

Green & Stoke's Theorem - Problems: (Problem 4 - Stoke's Theorem)

Green & Stoke's Theorem - Problems: (Problem 5 - Green's Theorem)

Green & Stoke's Theorem - Problems: (Problem 6 - Green's Theorem)

Green & Stoke's Theorem - Problems: (Problem 7 (Area Bounded by ellipse) - Green's Theorem)

Green & Stoke's Theorem - Problems: (Problem 8 (Area Bounded by 2 parabolas) - Green's Theorem)

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Understanding the Newton-Raphson Method
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Newton-Raphson Method - Problems: (Problem 1)

Newton-Raphson Method - Problems: (Problem 2)

Newton-Raphson Method - Problems: (Problem 3)

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Newton-Raphson Method - Problems: (Problem 4)
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Newton-Raphson Method - Problems: (Problem 5)

Newton-Raphson Method - Problems: (Problem 1) Using Scientific Calculator

Newton-Raphson Method - Problems: (Problem 2) Using Scientific Calculator

Newton-Raphson Method - Problems: (Problem 3) Using Scientific Calculator

Newton-Raphson Method - Problems: (Problem 4) Using Scientific Calculator

Newton-Raphson Method - Problems: (Problem 5) Using Scientific Calculator

Understanding the Regula-Falsi Method

Regula-Falsi - Problems: (Problem 1)

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Regula-Falsi - Problems: (Problem 2)
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Regula-Falsi - Problems: (Problem 3)

Regula-Falsi - Problems: (Problem 1) Using Scientific Calculator

Regula-Falsi - Problems: (Problem 2) Using Scientific Calculator

Regula-Falsi - Problems: (Problem 3) Using Scientific Calculator

Introduction to Finite Differences

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Application of Finite Differences
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Formulae for Backward, Forward and Divided Differences

Newton's Forward and Backward Difference - Problems: (Problem 1)

Newton's Forward and Backward Difference - Problems: (Problem 2)

Newton's Forward and Backward Difference - Problems: (Problem 3)

Newton's Forward and Backward Difference - Problems: (Problem 4)

Newton's Forward and Backward Difference - Problems: (Problem 5)

Newton's Divided Difference - Problems: (Problem 1)

Newton's Divided Difference - Problems: (Problem 2)

Understanding Lagrange's Interpolation

Lagrange's Interpolation - Problems: (Problem 1)

Lagrange's Interpolation - Problems: (Problem 2)

Introduction to Numerical Integration

Numerical Integration - Problems: (Problem 1)

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Numerical Integration - Problems: (Problem 2)
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Numerical Integration - Problems: (Problem 3)

Numerical Integration - Problems: (Problem 4)

Numerical Integration - Problems: (Problem 5)

Numerical Integration - Problems: (Problem 6)

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Math Inova

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₹ 1999.00

  • Course Duration
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  • Course Level
    Intermediate
  • Student Enrolled
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  • Language
    English
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  • Certificate of Completion