Course Modules

Unit 0: Introduction

Unit 0: Introduction
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Unit 0: Introduction 3266  
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    Beauty of Mathematics Beauty of Mathematics
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  • External Url
    Lecture plan: Engineering Mathematics Lecture plan: Engineering Mathematics
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  • Attachment
    Basics of Differentiation and Integration.docx Basics of Differentiation and Integration.docx
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  • Attachment
    ncert derivatives and integrals.pdf ncert derivatives and integrals.pdf
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  • External Url
    Tutorial 1 Tutorial 1
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  • Page
    Lab material (Matlab basics) Lab material (Matlab basics)
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  • Assignment
    Tutorial 1 submission CSE 1 A Tutorial 1 submission CSE 1 A
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  • Assignment
    Assignment 1 submission-D Assignment 1 submission-D
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  • Assignment
    Assignment 2 submission-D Assignment 2 submission-D
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  • Assignment
    Assignment 3 submission -D Assignment 3 submission -D
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  • Assignment
    Assignment 4 submission -D Assignment 4 submission -D
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Unit 1: Matrices

Unit 1: Matrices
Module Completed Module In Progress Module Locked
Unit 1: Matrices 3552  
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    Week-1

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  • Page
    Lecture 1: Introduction to Matrices and their Properties Lecture 1: Introduction to Matrices and their Properties
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    Lecture 2: Elementary Operations and Elementary Matrices Lecture 2: Elementary Operations and Elementary Matrices
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    Lecture 3: Echelon Form: REF & RREF Lecture 3: Echelon Form: REF & RREF
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    Tutorial 2 Tutorial 2
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    Week-2

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    Lecture 4: Rank of a Matrix Lecture 4: Rank of a Matrix
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    Lecture 5: Rank by Normal Form Lecture 5: Rank by Normal Form
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    Lecture-6: L.I. & L.D. Vectors Lecture-6: L.I. & L.D. Vectors
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    Tutorial 3 Tutorial 3
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    Week-3

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    Lecture 7: System of Linear Equations Lecture 7: System of Linear Equations
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    Lecture 8: Homogeneous and Non-Homogeneous System Lecture 8: Homogeneous and Non-Homogeneous System
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    Lecture 9:Eigenvalues and its properties Lecture 9:Eigenvalues and its properties
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    Tutorial 4 Tutorial 4
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    Week-4

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    Lecture 10: Eigenvectors and its properties Lecture 10: Eigenvectors and its properties
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    Lecture 11: Cayley-Hamilton Theorem and its Application Lecture 11: Cayley-Hamilton Theorem and its Application
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    Lecture 12: Similar Matrices and Diagonalization Lecture 12: Similar Matrices and Diagonalization
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    Test of Unit-1 Test of Unit-1
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Unit 2: Differential Calculus

Unit 2: Differential Calculus
Prerequisites: Unit 1: Matrices
Module Completed Module In Progress Module Locked
Unit 2: Differential Calculus 3561  
  • Context Module Sub Header

    Week-5

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    Lecture-13: Successive Differentiation Lecture-13: Successive Differentiation
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    Lecture-14: Leibnitz's Theorem Lecture-14: Leibnitz's Theorem
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    Lecture-15: Taylor's & Maclaurin’s Series Lecture-15: Taylor's & Maclaurin’s Series
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  • Assignment
    Tutorial 5 Tutorial 5
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  • Assignment
    Tutorial 6 Tutorial 6
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    Week-6

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    Lecture-16: Functions of two variables, Limit, and Continuity Lecture-16: Functions of two variables, Limit, and Continuity
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    Lecture-17: Partial Derivatives Lecture-17: Partial Derivatives
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    Lecture-18: Total Derivative and Derivatives of Composite and Implicit Functions Lecture-18: Total Derivative and Derivatives of Composite and Implicit Functions
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    Week-7

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    Lecture-19: Differentiability Lecture-19: Differentiability
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    Lecture-20: Jacobians Lecture-20: Jacobians
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    Lecture-21: Homogeneous Functions, Euler’s Theorem Lecture-21: Homogeneous Functions, Euler’s Theorem
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    Week-8

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    Lecture-22: Taylor’s Series of two Variables Lecture-22: Taylor’s Series of two Variables
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    Lecture-23: Maxima and Minima of two Variables Lecture-23: Maxima and Minima of two Variables
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    Lecture-24: Maxima and minima Lecture-24: Maxima and minima
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Unit 3: Integral Calculus

Unit 3: Integral Calculus
Prerequisites: Unit 2: Differential Calculus
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Unit 3: Integral Calculus 3562  
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    Lecture-25: Double Integral Lecture-25: Double Integral
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    Lecture-26: Change of order of Integration Lecture-26: Change of order of Integration
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    Lecture-27: Double Integral in Polar Co-ordinates Lecture-27: Double Integral in Polar Co-ordinates
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    Lab-9 + Tutorial-9 Lab-9 + Tutorial-9
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    Lecture-28 Lecture-28
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    Lecture-29 Lecture-29
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    Lecture 30 : Volume integral Lecture 30 : Volume integral
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    Lab-10 + Tutorial-10 Lab-10 + Tutorial-10
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    Lecture 31 :Volume integral and applications Lecture 31 :Volume integral and applications
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    Lecture 32: Applications Lecture 32: Applications
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    Lecture 33: Change of order of integration in x,y Lecture 33: Change of order of integration in x,y
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    Lecture 34: Change of order of integration in r,theta-2 Lecture 34: Change of order of integration in r,theta-2
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    Lecture-31 Lecture-31
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    Lecture-32 Lecture-32
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    Lecture-33 Lecture-33
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    Lab-11 + Tutorial-11 Lab-11 + Tutorial-11
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    Week-13 (17-Jan)

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    Lecture-34 Lecture-34
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    Lecture-35 Lecture-35
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    Lecture-36 Lecture-36
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    Lab-12 + Tutorial-12 Lab-12 + Tutorial-12
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    Assignment-5 Assignment-5
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    Assignment 6 Assignment 6
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    Combined tutorial sheet for Unit 3 Combined tutorial sheet for Unit 3
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Unit 4 : Vector Calculus

Unit 4 : Vector Calculus
Prerequisites: Unit 3: Integral Calculus
Module Completed Module In Progress Module Locked
Unit 4 : Vector Calculus 3563  
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    Lecture 37: Scalar and vector point functions, Differentiation of vectors Lecture 37: Scalar and vector point functions, Differentiation of vectors
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    Lecture 38 : Directional Derivative, Tangent plane and Normal Lecture 38 : Directional Derivative, Tangent plane and Normal
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    Lecture 39: Divergence and Curl of a vector field, Line Integral and Work done by given force Lecture 39: Divergence and Curl of a vector field, Line Integral and Work done by given force
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    Lab - 13 + Tutorial - 13 Lab - 13 + Tutorial - 13
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    Week-14 (31-Jan)

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    Lecture 40: Surface Integral Lecture 40: Surface Integral
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    Lecture 41 : Volume Integral, Gauss Divergence Theorem Lecture 41 : Volume Integral, Gauss Divergence Theorem
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    Lecture 42: Green's & Stoke's Theorems Lecture 42: Green's & Stoke's Theorems
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    Lab-14 + Tutorial-14 Lab-14 + Tutorial-14
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    Lecture 35: Differentiation and integration of vectors Lecture 35: Differentiation and integration of vectors
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    Lecture 36: Gradient of a scalar field Lecture 36: Gradient of a scalar field
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    Lecture 37: Directional derivative Lecture 37: Directional derivative
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    Lecture 38: Normal and tangent plane Lecture 38: Normal and tangent plane
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    Lecture 39: line integral Lecture 39: line integral
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    Lecture 40: Divergence and Curl of a vector Lecture 40: Divergence and Curl of a vector
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   Score at least  % Must score at least  % to complete this module item Scored at least  % Module item has been completed by scoring at least  % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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    Lecture 41: Green's theorem and applications Lecture 41: Green's theorem and applications
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   Score at least  % Must score at least  % to complete this module item Scored at least  % Module item has been completed by scoring at least  % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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    Lecture 42-43 : Divergence Theorem and applications Lecture 42-43 : Divergence Theorem and applications
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   Score at least  % Must score at least  % to complete this module item Scored at least  % Module item has been completed by scoring at least  % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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    Lecture 44 : Stoke's theorem Lecture 44 : Stoke's theorem
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   Score at least  % Must score at least  % to complete this module item Scored at least  % Module item has been completed by scoring at least  % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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    Lecture 45 : Applications of Stoke's Theorem Lecture 45 : Applications of Stoke's Theorem
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   Score at least  % Must score at least  % to complete this module item Scored at least  % Module item has been completed by scoring at least  % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
 
minimum score must view must submit must contribute