MAT 102 Vector Calculus Differential Equations & Transforms KTU BTech S2(2019 Scheme)

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6 modules

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Explore the world of vectors, calculus, and transforms with this KTU BTech course

Overview

MAT 102 Vector Calculus Differential Equations & Transforms is a comprehensive course that covers the fundamental concepts of vector calculus, differential equations, and transforms. This course is designed for students pursuing a Bachelor of Technology (BTech) degree in KTU under the S2(2019 Scheme) curriculum. Students will delve into topics such as vector functions, line integrals, surface integrals, Green's theorem, Laplace transforms, Fourier series, and more.

Key Highlights

Comprehensive coverage of vector calculus and transforms

Suitable for KTU BTech students under the S2(2019 Scheme)

Includes topics on differential equations and mathematical transformations

What you will learn

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Understanding Vector Calculus

Learn about vector functions, divergence, curl, line integrals, and surface integrals

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Mastering Differential Equations

Gain proficiency in solving ordinary and partial differential equations

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Exploring Transforms

Discover Laplace transforms, Fourier series, and their applications in engineering

Modules

Module 01

17 attachments • 4 hrs

Limit & Continuity of Vector Valued Functions (Part 1) |S2 Vector Calculus

Derivatives & Integrals | Vector Valued Functions (Part 2) S2 Vector Calculus

Tangent Lines | Vector Valued Functions (Part 3)| S2 Vector Calculus

Unit Tangent & Unit Normal | Vector Valued Functions (Part 4)| S2 Vector Calculus

Velocity , Acceleration & Speed| Vector Valued Functions (Part 5) | S2 Vector Calculus

Tangential & Normal Components of Acceleration | Vector Valued Functions (Part 6)|

Gradient & Directional Derivative | Vector Valued Functions (Part 7) | S2 Vector Calculus

Divergence and Curl | S2(2019) Maths | Module 1 (Part 8)

Line Integrals | S2(2019 Syllabus) Mathematics | Part 9| Module 1

Line Integrals (Problems ) | S2(2019 Syllabus ) Maths | Part 10

Directional Derivative (Problem) |Module 1(Part 11) Vectors | MAT 102 VCDT | S2(2019)| BTech KTU

Displacement & Distance Travelled (Problem) | Module 1 (Part 12)MAT 102VCDT | S2(2019)| KTU BTech

What is Directional Derivative | Module 1(Part 13) | MAT 102 VCDT | S2(2019) | KTU BTech

Directional Derivative(Problems)| Module 1(Part 14) | MAT 102 VCDT | S2(2019) | KTU BTech

Gradient (Problems)| Module 1(Part 15) | MAT 102 VCDT | S2(2019) | KTU BTech

Line Integrals (Problems)| Module 1(Part 16) | MAT 102 VCDT | S2(2019) | KTU BTech

Conservative Vector Field Potential Function (Problems)| Module 1(Part 17) | MAT 102 VCDT | S2(2019)

Module 02

16 attachments • 4 hrs

Part 1- Green's Theorem | Vector Calculus

Part 2- Divergence Theorem | Vector Calculus

Part 3- Stoke's Theorem | Vector Calculus

Part 4-Surface Integrals | Vector Integral Theorems | S2(2019) | Module 2

Part 5- Flux of a vector field | Vector Integral Theorems | S2(2019) Mathematics | Module 2

Part 6- Green's Theorem (Problems )| S2(2019)| Module 2

Part 7- Verify Green's Theorem| Vector Integral Theorems | S2(2019) KTU Maths

Part 8- Verify Stokes' Theorem Questions | Vector Integral Theorems | S2(2019) |KTU

Part 10- Line Integral using Green's Theorem | Module 2 | MAT 102 VCDT | S2(2019) | KTU

Part 12- Evaluation of Flux using Divergence Theorem | Module 2 | MAT 102 VCDT | S2(2019) | KTU

Part 13- Surface Integral (Question)| Module 2 | MAT 102 VCDT Vector Integral Theorem | S2(2019) |

Part 14-Surface Integral (Question)| Module 2 | MAT 102 VCDT Vector Integral Theorem | S2(2019) |

Part 15- Stoke's Theorem (Question)| Module 2 | MAT 102 VCDT Vector Integral Theorem | S2(2019) |

Part 16- Stoke's Theorem - Question | Module 2 | MAT 102 VCDT Vector Integral Theorem | S2(2019) |

Module 03

11 attachments • 2 hrs

Homogeneous Linear ODE (2nd Order) | S2 (2019) Mathematics | Module 3(Part 1)

Homogeneous Linear ODE(2nd Order) | S2(2019) Mathematics | Module 3(Part 2)

General Solution of Linear Homogeneous ODE | S2 Maths (2019)| Module 3(Part 3)

Homogeneous Linear ODE with Constant Coefficients | S2(2019) Maths | Module 3(Part 4)

Particular Solution of Linear Homogeneous ODE | S2(2019)Mathematics | Module 3(Part 5)

Euler Cauchy Equations | S2(2019) Mathematics | Module 3 (Part 6)

Method of Variation of Parameters | S2 (2019) | Module 3 (Part 7)

Method of Undertermined Coefficients | S2(2019 Syllabus)| Module 3 (Part 8)

Method of Undertermined Coefficients (Problems)| S2(2019 Syllabus) | Module 3 (Part 9)

Wronskian of three functions | Differential Equations Part 10

Solution of Differential Equation - IVP - Module 3 Ordinary Differential Equations - S2(2019) KTU Part 11

Module 04

15 attachments • 10 hrs

Laplace Transforms (Part 1) | First Shifting Theorem | S2(2019), S4 Mathematics

Multiplication & Division by t | Laplace Transforms(Part 2) |S2(2019), S4(MA 202)

Inverse Laplace Transforms | Laplace Transforms (Part 3) | S2(2019), S4 (MA 202)

Second Shifting Theorem | Laplace Transforms (Part 4)| S2(2019 Syllabus) | S4(MA 202)

Convolution Theorem | Laplace Transforms (Part 5)| S2(2019 Syllabus) | S4(MA 202)

Solution of ODE using Laplace Transforms (Part 6) | S2(2019)

Laplace Transforms Practice Problems | Laplace Transforms (Part 7) | S2(2019) | S4 MA 202

Inverse Laplace Transforms Practice Problems | Laplace Transforms (Part 8) | S2(2019) | S4(MA 202)

Laplace Transforms Practice Problems 3| Laplace Transforms (Part 9) | S2(2019)| S4(MA 202)

Inverse Laplace Transform Problems| Laplace Transforms (Part 10)| S2(2019)| S4(MA 202)

Evaluation of Integrals using Laplace Transforms | Laplace Transforms (Part 11)| S2(2019)|S4(MA 202)

Dirac's Delta Function | Laplace Transforms (Part 12) | S2(2019)| KTU Mathematics

Second Shifting Theorem (Problems ) | Laplace Transforms (Part 13)| S2(2019) | S4(MA 202) | KTU

Second Shifting Theorem Inverse Laplace Transforms | Laplace Transforms (Part 14)| S2 & S4 KTU Maths

Convolution Theorem Problems | Laplace Transforms (Part 15)| S2 MAT 102 KTU Mathematics

Module 05

9 attachments • 3 hrs

Fourier Integrals | Fourier Transforms (Part 1) | S2(2019)| S4(MA 202)

Fourier Integrals- Problems | Fourier Transforms (Part 2)| S2(2019) | S4(MA 202)

Fourier Sine and Cosine Transforms | Fourier Transforms (Part 3)| S2(2019 Syllabus )

Fourier Transforms | Fourier Transforms (Part 4)| S2(2019)

Fourier Transform of Derivatives | Fourier Transforms (Part 5) | S2(2019)

Convolution Theorem | Fourier Transforms (Part 6) | S2(2019)

Fourier Integrals (Problems)| Fourier Transforms (Part 7) | S2(2019) | KTU Mathematics

Fourier Sine & Cosine Transforms (Problems) | Fourier Transforms (Part 8) | S2(2019)

Fourier Transforms Problems | Fourier Transforms (Part 9)| S2(2019)| KTU Mathematics

REVISION QUESTIONS

9 attachments • 2 hrs

MAT 102 VCDT (2019 Scheme) | Important Topics | Module wise | KTU BTech

MAT 102 Vector Calculus & Differential Equations | Module 1 & 2 Important 3 Mark Questions |S2(2019)

MAT 102 Vector Calculus & Differential Equation-Revision -Module 1 (Part 1)- S2(2019) Scheme -KTU

MAT 102 Vector Calculus & Differential Equation-Revision (Part 2)-Module 1- S2(2019) Scheme -KTU

MAT 102 Vector Calculus, Differential Equation (VCDT) -Revision (Part 3)-Module 2- S2(2019) -KTU

MAT 102 Vector Calculus, Differential Equation (VCDT) -Revision (Part 4)-Module 3- S2(2019) -KTU

MAT 102 Vector Calculus, Differential Equation (VCDT) -Revision (Part 5)-Module 5- S2(2019) -KTU

MAT 102 VCDT- MATHEMATICS - How to Score Minimum Pass Marks - S2(2019) -KTU B.Tech

MAT 102 VCDT- MATHEMATICS - Important Questions -Laplace Transforms (Module 5)- S2(2019) -KTU B.Tech

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MAT 102 Vector Calculus Differential Equations & Transforms KTU BTech S2(2019 Scheme)

Learn with BTech Mathematics

6 modules

Lifetime access

₹ 199.00

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₹ 199.00

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