MAT 201 Partial Differential Equations & Complex Analysis S3(2019 Scheme) KTU BTech

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/MAT 201 Partial Differential Equations & Complex Analysis S3(2019 Scheme) KTU BTech

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6 modules

Access for 180 days

Dive into the world of partial differential equations and complex analysis within KTU's BTech curriculum.

Overview

MAT 201 Partial Differential Equations & Complex Analysis is a course that explores the study of partial differential equations and complex analysis within the context of the 2019 Scheme of the Kerala Technological University's Bachelor of Technology program. Students will delve into the mathematical theories and applications of partial differential equations and complex analysis, acquiring a deep understanding of these important mathematical concepts.

Key Highlights

Explore partial differential equations

Study complex analysis

2019 Scheme of Kerala Technological University BTech program

What you will learn

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Enhanced Understanding of PDEs

Acquire a comprehensive knowledge of partial differential equations and their applications.

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Advanced Concepts in Complex Analysis

Delve into the intricacies of complex analysis and its relevance in mathematical studies.

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KTU's Updated Curriculum

Aligned with the 2019 Scheme, ensuring relevance to modern industry requirements.

Modules

Module 01

17 attachments • 6 hrs

Partial Differential Equations (Part 1) | S2 Maths | Differential Equations

Formation of PDE | PDE Module 1 (Part 2) | S3(2019) Mathematics | KTU | BTech

Solution of PDE by direct integration | PDE Module 1(Part 3)| S3(2019) | KTU BTech

Solution of PDE by Direct Integration(Problems) / S3(2019) PDE & CA / Module 1 (Part 4)

Linear Equations of Ist order - Lagrange's Linear Equations - S3(2019)- PDE & CA Module 1 (Part 5)

Lagrange's Linear Equations - Problem - S3(2019) - PDE & CA - Module 1 (Part 6)

Lagrange's Linear Equations - Problems - S3(2019) PDE & CA - Module 1 (Part 7)-KTU

Method of Multipliers | Lagrange's Linear Equations | S3(2019) PDE & CA - Module 1 (Part 8)

Method of Multipliers (Problems) - S3(2019) PDE & CA - Module 1 (Part 9)-KTU

Lagrange's Method (Problems) - S3(2019) PDE & CA - Module 1 (Part 10)-KTU

Lagrange's Method (Problems) - S3(2019) PDE & CA - Module 1 (Part 11)-KTU

Method of Separation of Variables - S3(2019) PDE & CA - Module 1 (Part 12)-KTU

Method of Separation of Variables Problem - S3(2019) PDE & CA - Module 1 (Part 15)-KTU

MAT 201 PDE & CA - Module 1 PDE -Formation of PDE - Part 16 - S3(2019) - #ktu #btech

MAT 201 PDE & CA - Module 1 (Part 17) PDE -Lagrange's Method - PYQ's - S3(2019) - #ktu #btech

Module 02

5 attachments • 1 hrs

Part 1 Solution of One Dimensional Wave Equations | 1 D Wave Equation

Part 2 One Dimensional Wave Equation Solution of a Problem | S2 Mathematics

Part 3 One Dimensional Heat Equation| Solution Derivation | S2 Differential Equations

Part 4 One Dimensional Heat Equation Problem | S2 Differential Equations

Part 5 One Dimensional Heat Equation | Steady State Condition Problems

Module 03

14 attachments • 4 hrs

Part 1- Complex Functions | KTU S3 Mathematics

Part 2- Analytic Functions | KTU S3 Mathematics | Module 1

Part 3- Laplace Equation, Harmonic Functions & Harmonic Conjugates| KTU S3 Mathematics

Part 4- Conformal Mapping KTU S3 PDE & CA

Part 5- Bilinear Transformation | KTU S3 PDE & CA

Part 6- Conformal Mapping w=sin(z) & w=cos(z)

Part 7- Conformal Mapping | S3 KTU PDE & CA

Part 8- Conformal Mapping | KTU

Part 9- Continuity of Complex Functions | Complex Differentiation | S3(2019) MAT 201

Part 10 -Harmonic Functions - Problems | Module 3 Complex Differentiation | S3(2019) MAT 201

Part 11- Analytic Functions - Problems | Module 3 Complex Differentiation | S3(2019) MAT 201

Part 12 -Analytic & Differentiable Functions | Module 3 Complex Differentiation | S3(2019) MAT 201

Part 13- Harmonic Function & Harmonic Conjugate | Module 3 Complex Differentiation | S3(2019) MAT 201

Part 14- Conformal Mapping - Problems | Module 3 Complex Differentiation | S3(2019) MAT 201

Module 04

8 attachments • 2 hrs

Part 1- Complex Line Integrals | KTU S3

Part 2- Cauchy's Integral Formula| MAT 201 PDE & CA- Module 4-Complex Variables - Integration

Part 3- Taylor & Maclaurin Series | MAT 201 PDE & CA| S3

Part 3 Correction of Problem Laurent's Series(Problem ) | S3 BTech | KTU

Part 4- Complex Line Integrals (PYQ)| Module 4 MAT 201 PDE & CA - S3(2019) Scheme -KTU BTech

Part 5 Cauchy's Integral Formula (PYQ)| Module 4 MAT 201 PDE & CA- S3(2019) Scheme -KTU BTech

Part 6 Cauchy's Integral Formula (7 Marks) Module 4 MAT 201 PDE & CA- S3(2019) Scheme -KTU BTech

Part 7 Taylor & Maclaurin Series (3,7 Marks) Module 4 MAT 201 PDE & CA- S3(2019) Scheme -KTU BTech

Module 05

4 attachments • 1 hrs

Part 1- Laurent's Series | KTU S3

Part 2- Zeros, Singularities and Poles | KTU

Part 3- Residue of a function | KTU

Part 4- Cauchy's Residue Theorem KTU

Basic Mathematics

3 attachments • 1 hrs

Basic Differentiation | Basic Mathematics for LET Students (Part 1)| BTech | KTU |

Partial Derivatives | Basic Mathematics for LET students(Part 2) | KTU | BTech

Basic Integration | Basic Mathematics for LET Students (Part 3) | BTech | KTU |

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MAT 201 Partial Differential Equations & Complex Analysis S3(2019 Scheme) KTU BTech

Learn with BTech Mathematics

6 modules

Access for 180 days