Matrices and Calculus (MA3151) - Anna University
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Course Overview
Schedule of Classes
Course Curriculum
8 Subjects
Unit - I: Matrices (MA3151)
33 Exercises • 82 Learning Materials
Maths.Engineering Platform Walkthrough
Maths Engineering Platform Walkthrough
Video
00:01:11
1.1 Matrix Introduction
1.1.1 Introduction
PDF
1.1.2 Key Concepts
PDF
1.1.3 Types of Matrices
PDF
1.1.4 Types of Matrices
PDF
1.1.5 Application of Matrices
PDF
1.1.6 Matrix Introduction
Video
00:08:03
1.1.6 Quiz
Exercise
1.1.7 Matrix Addition
Video
00:02:10
1.1.7 Quiz
Exercise
1.1.8 Matrix Multiplication
Video
00:04:38
1.1.8 Quiz
Exercise
1.1.9 Determinant of Matrix
Video
00:03:08
1.1.9 Quiz
Exercise
1.1.10 Inverse of a Matrix
Video
00:05:13
1.1.10 Quiz
Exercise
1.1.11 Application of Matrices
Video
00:05:50
1.2 Characteristic Equation
1.2.1 Introduction
Video
00:05:41
1.2.2 Eigenvalues and Eigenvectors
PDF
1.2.3 Applications Eigenvalues and Eigenvectors in Engineering
PDF
1.2.4 Characteristic Equation
PDF
1.2.5 Solved Problem 1
Video
00:02:15
1.2.5 Quiz
Exercise
1.2.6 Solved Problem 2
Video
00:04:09
1.2.6 Quiz
Exercise
1.2.7 Solved Problem 3
PDF
1.2.8 Solved Problem 4
PDF
1.2.9 Exercises
Exercise
1.3 Eigenvalues and Eigenvectors of a Matrix
1.3.1 Introduction
PDF
1.3.2 Eigenvectors
PDF
1.3.3 Solved Problem 1
Video
00:12:41
1.3.3 Quiz
Exercise
1.3.4 Solved Problem 2
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1.3.5 Solved Problem 3
Video
00:11:48
1.3.5 Quiz
Exercise
1.3.6 Solved Problem 4
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1.3.7 Solved Problem 5
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1.3.8 Solved Problem 6
Video
00:12:35
1.3.8 Quiz
Exercise
1.3.9 Solved Problem 7
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1.3.10 Solved Problem 8
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1.3.11 Solved Problem 9
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1.3.12 Solved Problem 10
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1.3.13 Solved Problem 11
Video
00:11:57
1.3.13 Quiz
Exercise
1.3.14 Exercises
Exercise
1.4 Properties of Eigenvalues and Eigenvectors
1.4.1 Introduction
PDF
1.4.2 Properties of Eigenvalues
PDF
1.4.3 Solved Problem 1
Video
00:01:53
1.4.3 Quiz
Exercise
1.4.4 Solved Problem 2
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1.4.5 Solved Problem 3
Video
00:01:58
1.4.5 Quiz
Exercise
1.4.6 Solved problem 4
PDF
1.4.7 Solved problem 5
PDF
1.4.8 Solved problem 6
Video
00:01:45
1.4.8 Quiz
Exercise
1.4.9 Solved problem 7
PDF
1.4.10 Solved problem 8
Video
00:02:45
1.4.10 Quiz
Exercise
1.4.11 Solved problem 9
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1.4.12 Solved problem 10
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1.4.13 Solved problem 11
Video
00:02:34
1.4.13 Quiz
Exercise
1.4.14 Solved problem 12
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1.4.15 Solved problem 13
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1.4.16 Solved problem 14
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1.4.17 Properties of Eigen vectors
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1.4.18 Exercises
Exercise
1.5 Cayley - Hamilton Theorem
1.5.1 Introduction
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1.5.2 Solved problem 1
Video
00:10:15
1.5.2 Quiz
Exercise
1.5.3 Solved problem 2
Video
00:08:07
1.5.3 Quiz
Exercise
1.5.4 Solved problem 3
Video
00:07:26
1.5.4 Quiz
Exercise
1.5.5 Solved problem 4
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1.5.6 Solved problem 5
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1.5.7 Solved problem 6
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1.5.8 Solved problem 7
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1.5.9 Solved problem 8
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1.5.10 Solved problem 9
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1.5.11 Solved problem 10
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1.5.12 Exercises
Exercise
1.6 Diagonalisation of matrix (Orthogonal Transformation)
1.6.1 Introduction
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1.6.2 Solved problem 1
Video
00:16:34
1.6.2 Quiz
Exercise
1.6.3 Solved problem 2
Video
00:17:48
1.6.3 Quiz
Exercise
1.6.4 Solved problem 3
Video
00:21:48
1.6.4 Quiz
Exercise
1.6.5 Solved problem 4
PDF
1.6.6 Solved problem 5
PDF
1.6.7 Exercises
Exercise
1.7 Reduction of Quadratic form to Canonical form
1.7.1 Introduction
PDF
1.7.2 Nature of a Quadratic form
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1.7.3 Canonical Form
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1.7.4 Applications in Engineering
PDF
1.7.5 Solved problem 1
Video
00:20:41
1.7.5 Quiz
Exercise
1.7.6 Solved problem 2
Video
00:19:58
1.7.6 Quiz
Exercise
1.7.7 Solved problem 3
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1.7.8 Solved problem 4
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1.7.9 Solved problem 5
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1.7.10 Solved problem 6
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1.7.11 Exercises
Exercise
1.8 Stretching of an Elastic Membrane
1.8.1 Introduction
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1.8.2 Solved problem 1
Video
00:08:59
1.8.2 Quiz
Exercise
1.8.3 Solved problem 2
Video
00:08:39
1.8.3 Quiz
Exercise
1.8.4 Solved problem 3
PDF
1.8.5 Solved problem 4
PDF
1.8.6 Exercises
Exercise
Unit - II: Differential Calculus (MA3151)
35 Exercises • 128 Learning Materials
2.1 Representation of Functions
2.1.1 Introduction
PDF
2.1.2 Representation of Functions
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2.1.3 Piecewise defined Functions
PDF
2.1.4 Solved Problem 1
Video
00:06:49
2.1.4 Quiz
Exercise
2.1.5 Solved Problem 2
Video
00:05:07
2.1.5 Quiz
Exercise
2.1.6 Solved Problem 3
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2.1.7 Solved Problem 4
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2.1.8 Solved Problem 5
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2.1.9 Solved Problem 6
Video
00:03:41
2.1.9 Quiz
Exercise
2.1.10 Solved Problem 7
Video
00:03:12
2.1.10 Quiz
Exercise
2.1.11 Solved Problem 8
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2.1.12 Solved Problem 9
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2.1.13 Exercises
PDF
2.2 Limit of a function
2.2.1 Introduction
PDF
2.2.2 Solved Problem 1
Video
00:02:09
2.2.2 Quiz
Exercise
2.2.3 Solved Problem 2
Video
00:01:52
2.2.3 Quiz
Exercise
2.2.4 Solved Problem 3
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2.2.5 Solved Problem 4
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2.2.6 Solved Problem 5
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2.2.7 Solved Problem 6
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2.2.8 Limit laws
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2.2.9 Standard Limits
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2.2.10 Direct Substitution property
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2.2.11 Solved Problem 7
Video
00:02:37
2.2.11 Quiz
Exercise
2.2.12 Solved Problem 8
Video
00:02:21
2.2.12 Quiz
Exercise
2.2.13 Solved Problem 9
Video
00:01:48
2.2.13 Quiz
Exercise
2.2.14 Solved Problem 10
Video
00:02:02
2.2.14 Quiz
Exercise
2.2.15 Solved Problem 11
Video
00:01:58
2.2.15 Quiz
Exercise
2.2.16 Solved Problem 12
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2.2.17 Solved Problem 13
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2.2.18 Solved Problem 14
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2.2.19 Solved Problem 15
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2.2.20 Solved Problem 16
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2.2.21 Solved Problem 17
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2.2.22 Solved Problem 18
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2.2.23 Solved Problem 19
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2.2.24 Solved Problem 20
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2.2.25 Solved Problem 21
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2.2.26 Solved Problem 22
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2.2.27 Solved Problem 23
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2.2.28 Exercises
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2.3 Continuity
2.3.1 Continuity
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2.3.2 Theorem
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2.3.3 Application
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2.3.4 Solved Problem 1
Video
00:04:40
2.3.4 Quiz
Exercise
2.3.5 Solved Problem 2
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2.3.6 Solved Problem 3
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2.3.7 Solved Problem 4
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2.3.8 Solved Problem 5
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2.3.9 Solved Problem 6
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2.3.10 Solved Problem 7
Video
00:07:04
2.3.10 Quiz
Exercise
2.3.11 Solved Problem 8
Video
00:03:36
2.3.11 Quiz
Exercise
2.3.12 Solved Problem 9
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2.3.13 Solved Problem 10
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2.3.14 Exercises
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2.4 Derivatives
2.4.1 Introduction
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2.4.2 Solved Problem 1
Video
00:04:29
2.4.2 Quiz
Exercise
2.4.3 Solved Problem 2
Video
00:02:36
2.4.3 Quiz
Exercise
2.4.4 Solved Problem 3
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2.4.5 Solved Problem 4
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2.4.6 Solved Problem 5
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2.4.7 Exercises
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2.5 Differentiation Rules
2.5.1 Introduction
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2.5.2 Differentiation Rules
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2.5.3 Important Differentiation Rules
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2.5.4 Sum rule
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2.5.5 Solved Problem 1
Video
00:02:37
2.5.5 Quiz
Exercise
2.5.6 Solved Problem 2
Video
00:05:03
2.5.6 Quiz
Exercise
2.5.7 Solved Problem 3
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2.5.8 Solved Problem 4
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2.5.9 Solved Problem 5
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2.5.10 Product rule
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2.5.11 Solved Problem 6
Video
00:03:17
2.5.11 Quiz
Exercise
2.5.12 Solved Problem 7
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2.5.13 Solved Problem 8
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2.5.14 Solved Problem 9
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2.5.15 Quotient rule
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2.5.16 Solved Problem 10
Video
00:03:58
2.5.16 Quiz
Exercise
2.5.17 Solved Problem 11
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2.5.18 Solved Problem 12
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2.5.19 Chain rule
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2.5.20 Solved Problem 13
Video
00:02:26
2.5.20 Quiz
Exercise
2.5.21 Solved Problem 14
Video
00:03:10
2.5.21 Quiz
Exercise
2.5.22 Solved Problem 15
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2.5.23 Solved Problem 16
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2.5.24 Solved Problem 17
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2.5.25 Solved Problem 18
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2.5.26 Exercises
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2.6 Implicit Differentiation
2.6.1 Introduction
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2.6.2 Implicit Differentiation
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2.6.3 General Differentiation formulae
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2.6.4 Solved Problem 1
Video
00:04:08
2.6.4 Quiz
Exercise
2.6.5 Solved Problem 2
Video
00:04:04
2.6.5 Quiz
Exercise
2.6.6 Solved Problem 3
Video
00:04:45
2.6.6 Quiz
Exercise
2.6.7 Solved Problem 4
Video
00:05:33
2.6.7 Quiz
Exercise
2.6.8 Solved Problem 5
Video
00:07:19
2.6.8 Quiz
Exercise
2.6.9 Solved problem 6
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2.6.10 Solved problem 7
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2.6.11 Solved problem 8
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2.6.12 Solved problem 9
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2.6.13 Solved problem 10
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2.6.14 Exercises
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2.7 Logarithmic Differentiation
2.7.1 Logarithmic Differentiation
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2.7.2 Logarithmic Differentiation Formula
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2.7.3 Solved Problem 1
Video
00:03:34
2.7.3 Quiz
Exercise
2.7.4 Solved Problem 2
Video
00:03:30
2.7.4 Quiz
Exercise
2.7.5 Solved Problem 3
Video
00:04:05
2.7.5 Quiz
Exercise
2.7.6 Solved Problem 4
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2.7.7 Solved Problem 5
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2.7.8 Solved problem 6
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2.7.9 Solved problem 7
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2.7.10 Solved problem 8
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2.7.11 Exercises
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2.8 Maxima and Minima of functions of one variable
2.8.1 Maxima and minima
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2.8.2 Extreme value Theorem
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2.8.3 Increasing-Decreasing Test
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2.8.4 Solved Problem 1
Video
00:04:00
2.8.4 Quiz
Exercise
2.8.5 Solved Problem 2
Video
00:04:27
2.8.5 Quiz
Exercise
2.8.6 Solved Problem 3
Video
00:14:56
2.8.6 Quiz
Exercise
2.8.7 Solved Problem 4
Video
00:12:31
2.8.7 Quiz
Exercise
2.8.8 Solved Problem 5
Video
00:10:12
2.8.8 Quiz
Exercise
2.8.9 Solved problem 6
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2.8.10 Solved problem 7
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2.8.11 Solved problem 8
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2.8.12 Solved problem 9
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2.8.13 Solved problem 10
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2.8.14 Solved problem 11
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2.8.15 Exercises
PDF
Unit - III: Functions of Several Variables (MA3151)
25 Exercises • 106 Learning Materials
3.1 Partial Differentiation
3.1.1 Introduction
PDF
3.1.2 Solved Problem 1
Video
00:05:39
3.1.2 Quiz
Exercise
3.1.3 Solved Problem 2
Video
00:07:05
3.1.3 Quiz
Exercise
3.1.4 Solved Problem 3
Video
00:06:53
3.1.4 Quiz
Exercise
3.1.5 Solved Problem 4
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3.1.6 Solved Problem 5
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3.1.7 Solved Problem 6
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3.1.8 Solved Problem 7
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3.1.9 Solved Problem 8
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3.1.10 Solved Problem 9
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3.1.11 Exercises
PDF
3.2 Homogeneous Function and Euler's Theorem
3.2.1 Introduction
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3.2.2 Euler's Theorem
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3.2.3 Solved Problem 1
Video
00:08:29
3.2.3 Quiz
Exercise
3.2.4 Solved Problem 2
Video
00:05:54
3.2.4 Quiz
Exercise
3.2.5 Solved Problem 3
Video
00:04:47
3.2.5 Quiz
Exercise
3.2.6 Solved Problem 4
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3.2.7 Solved Problem 5
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3.2.8 Solved Problem 6
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3.2.9 Solved Problem 7
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3.2.10 Solved Problem 8
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3.2.11 Solved Problem 9
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3.2.12 Exercises
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3.3 Total Derivative
3.3.1 Introduction
PDF
3.3.2 Solved Problem 1
Video
00:11:26
3.3.2 Quiz
Exercise
3.3.3 Solved Problem 2
Video
00:06:28
3.3.3 Quiz
Exercise
3.3.4 Solved Problem 3
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3.3.5 Solved Problem 4
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3.3.6 Solved Problem 5
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3.3.7 Solved Problem 6
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3.3.8 Solved Problem 7
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3.3.9 Solved Problem 8
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3.3.10 Exercises
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3.4 Partial Differentiation of Implicit Functions
3.4.1 Introduction
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3.4.2 Implicit function of three variables
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3.4.3 Solved Problem 1
Video
00:09:29
3.4.3 Quiz
Exercise
3.4.4 Solved Problem 2
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3.4.5 Solved Problem 3
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3.4.6 Solved Problem 4
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3.4.7 Solved Problem 5
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3.4.8 Solved Problem 6
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3.4.9 Solved Problem 7
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3.4.10 Exercises
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3.5 Change of Variables
3.5.1 Introduction
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3.5.2 Solved Problem 1
Video
00:10:41
3.5.2 Quiz
Exercise
3.5.3 Solved Problem 2
Video
00:06:59
3.5.3 Quiz
Exercise
3.5.4 Solved Problem 3
Video
00:04:59
3.5.4 Quiz
Exercise
3.5.5 Solved Problem 4
Video
00:08:10
3.5.5 Quiz
Exercise
3.5.6 Solved Problem 5
Video
00:08:32
3.5.6 Quiz
Exercise
3.5.7 Solved Problem 6
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3.5.8 Solved Problem 7
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3.5.9 Solved Problem 8
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3.5.10 Solved Problem 9
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3.5.11 Solved Problem 10
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3.5.12 Solved Problem 11
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3.5.13 Exercises
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3.6 Jacobians
3.61 Introduction
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3.6.2 Properties of Jacobian
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3.6.3 Jacobian of implicit functions
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3.6.4 Partial derivatives using Jacobian
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3.6.5 Solved Problem 1
Video
00:08:00
3.6.5 Quiz
Exercise
3.6.6 Solved Problem 2
Video
00:08:49
3.6.6 Quiz
Exercise
3.6.7 Solved Problem 3
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3.6.8 Solved Problem 4
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3.6.9 Solved Problem 5
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3.6.10 Solved Problem 6
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3.6.11 Solved Problem 7
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3.6.12 Solved Problem 8
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3.6.13 Solved Problem 9
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3.6.14 Exercises
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3.7 Taylor's series for functions of two variables
3.7.1 Introduction
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3.7.2 Solved Problem 1
Video
00:07:44
3.7.2 Quiz
Exercise
3.7.3 Solved Problem 2
Video
00:09:49
3.7.3 Quiz
Exercise
3.7.4 Solved Problem 3
Video
00:09:39
3.7.4 Quiz
Exercise
3.7.5 Solved Problem 4
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3.7.6 Solved Problem 5
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3.7.7 Solved Problem 6
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3.7.8 Solved Problem 7
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3.7.9 Solved Problem 8
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3.7.10 Solved Problem 9
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3.7.11 Solved Problem 10
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3.7.12 Solved Problem 11
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3.7.13 Solved Problem 12
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3.7.14 Solved Problem 13
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3.7.15 Solved Problem 14
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3.7.16 Exercises
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3.8 Maxima and minima of functions of two variables
3.8.1 Introduction
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3.8.2 Solved Problem 1
Video
00:09:06
3.8.2 Quiz
Exercise
3.8.3 Solved Problem 2
Video
00:17:16
3.8.3 Quiz
Exercise
3.8.4 Solved Problem 3
Video
00:12:23
3.8.4 Quiz
Exercise
3.8.5 Solved Problem 4
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3.8.6 Solved Problem 5
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3.8.7 Solved Problem 6
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3.8.8 Solved Problem 7
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3.8.9 Solved Problem 8
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3.8.10 Solved Problem 9
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3.8.11 Solved Problem 10
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3.8.12 Solved Problem 11
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3.8.13 Exercises
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3.9 Lagrange's method of undetermined multipliers
3.9.1 Introduction
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3.9.2 Solved Problem 1
Video
00:09:49
3.9.2 Quiz
Exercise
3.9.3 Solved Problem 2
Video
00:10:24
3.9.3 Quiz
Exercise
3.9.4 Solved Problem 3
Video
00:07:54
3.9.4 Quiz
Exercise
3.9.5 Solved Problem 4
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3.9.6 Solved Problem 5
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3.9.7 Exercises
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Unit - IV: Integral Calculus (MA3151)
51 Exercises • 181 Learning Materials
4.1 Definite Integral
4.1.1 Introduction
Video
00:06:10
4.1.2 Introduction to Integral calculus
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4.1.3 The Definite Integral
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4.1.4 Standard formulae
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4.1.5 Applications
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4.1.6 Solved Problem 1
Video
00:02:42
4.1.6 Quiz
Exercise
4.1.7 Solved Problem 2
Video
00:02:46
4.1.7 Quiz
Exercise
4.1.8 Solved Problem 3
Video
00:03:19
4.1.8 Quiz
Exercise
4.1.9 Solved problem 4
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4.1.10 Solved problem 5
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4.1.11 Solved problem 6
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4.1.12 Solved problem 7
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4.1.13 Solved problem 8
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4.1.14 Solved problem 9
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4.1.15 Exercises
Exercise
4.2 Definite Integral - Reimann Sum
4.2.1 The Definite Integral
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4.2.2 Applications
PDF
4.2.3 Solved Problem 1
Video
00:06:56
4.2.3 Quiz
Exercise
4.2.4 Solved Problem 2
Video
00:06:11
4.2.4 Quiz
Exercise
4.2.5 Solved problem 3
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4.2.6 Solved problem 4
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4.2.7 Solved problem 5
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4.2.8 Solved problem 6
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4.2.9 Solved problem 7
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4.2.10 Solved problem 8
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4.2.11 Solved problem 9
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4.2.12 Exercises
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4.3 Indefinite Integral
4.3.1 Indefinite Integral
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4.3.2 Formulae
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4.3.3 Applications
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4.3.4 Solved Problem 1
Video
00:02:44
4.3.4 Quiz
Exercise
4.3.5 Solved Problem 2
Video
00:01:54
4.3.5 Quiz
Exercise
4.3.6 Solved Problem 3
Video
00:03:24
4.3.6 Quiz
Exercise
4.3.7 Solved problem 4
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4.3.8 Solved problem 5
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4.3.9 Solved problem 6
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4.3.10 Solved problem 7
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4.3.11 Solved problem 8
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4.3.12 Solved problem 9
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4.3.13 Exercises
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4.4 Properties of Definite Integral
4.4.1 Properties of Definite Integral
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4.4.2 Applications
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4.4.3 Solved Problem 1
Video
00:04:09
4.4.3 Quiz
Exercise
4.4.4 Solved Problem 2
Video
00:04:11
4.4.4 Quiz
Exercise
4.4.5 Solved Problem 3
Video
00:03:49
4.4.5 Quiz
Exercise
4.4.6 Solved Problem 4
Video
00:03:22
4.4.6 Quiz
Exercise
4.4.7 Solved problem 5
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4.4.8 Solved problem 6
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4.4.9 Solved problem 7
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4.4.10 Solved problem 8
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4.4.11 Solved problem 9
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4.4.12 Solved problem 10
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4.4.13 Exercises
Exercise
4.5 Substitution Rule
4.5.1 Introduction
Video
00:05:54
4.5.2 Substitution Rule
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4.5.3 Why we need substitution rule in integration
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4.5.4 Applications
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4.5.5 Type I - Algebraic Functions - Solved Problem 1
Video
00:02:30
4.5.5 Quiz
Exercise
4.5.6 Solved Problem 2
Video
00:02:43
4.5.6 Quiz
Exercise
4.5.7 Solved problem 3
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4.5.8 Solved problem 4
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4.5.9 Type II - Logarithmic Functions - Solved Problem 5
Video
00:01:58
4.5.9 Quiz
Exercise
4.5.10 Solved Problem 6
Video
00:02:30
4.5.10 Quiz
Exercise
4.5.11 Solved problem 7
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4.5.12 Solved problem 8
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4.5.13 Type III - Exponential Functions - Solved Problem 9
Video
00:03:17
4.5.13 Quiz
Exercise
4.5.14 Solved Problem 10
Video
00:02:26
4.5.14 Quiz
Exercise
4.5.15 Solved problem 11
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4.5.16 Solved problem 12
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4.5.17 Solved problem 13
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4.5.18 Type IV - Trigonometric Functions - Solved Problem 14
Video
00:02:30
4.5.18 Quiz
Exercise
4.5.19 Solved Problem 15
Video
00:03:25
4.5.19 Quiz
Exercise
4.5.20 Solved problem 16
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4.5.21 Solved problem 17
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4.5.22 Solved problem 18
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4.5.23 Solved problem 19
PDF
4.5.24 Exercises
Exercise
4.6 Integration by Parts
4.6.1 Integration by Parts
Video
00:05:26
4.6.2 Bernoullis Formula for Integration by Parts
Video
00:06:39
4.6.3 Why we need Integration by Parts
PDF
4.6.4 Applications
PDF
4.6.5 Solved Problem 1
Video
00:03:33
4.6.5 Quiz
Exercise
4.6.6 Solved Problem 2
Video
00:03:32
4.6.6 Quiz
Exercise
4.6.7 Solved Problem 3
Video
00:05:45
4.6.7 Quiz
Exercise
4.6.8 Solved Problem 4
Video
00:06:45
4.6.8 Quiz
Exercise
4.6.9 Type I - Problems on Integration by Parts - Solved Problem 1
PDF
4.6.10 Solved Problem 2
PDF
4.6.11 Solved Problem 3
PDF
4.6.12 Solved Problem 4
PDF
4.6.13 Solved Problem 5
PDF
4.6.14 Solved Problem 6
PDF
4.6.15 Solved Problem 7
PDF
4.6.16 Solved Problem 8
PDF
4.6.17 Type II - Problems on Bernoulli's Formula - Solved Problem 9
PDF
4.6.18 Solved Problem 10
PDF
4.6.19 Reduction Formula
PDF
4.6.20 Type III - Problems on Reduction Formula - Solved Problem 11
PDF
4.6.21 Solved Problem 12
PDF
4.6.22 Exercises
Exercise
4.7 Trigonometric Integrals
4.7.1 Type I
PDF
4.7.2 Type II
PDF
4.7.3 Type III
PDF
4.7.4 Solved Problem 1
Video
00:04:47
4.7.4 Quiz
Exercise
4.7.5 Solved Problem 2
Video
00:05:36
4.7.5 Quiz
Exercise
4.7.6 Solved Problem 3
Video
00:04:24
4.7.6 Quiz
Exercise
4.7.7 Solved Problem 4
Video
00:02:19
4.7.7 Quiz
Exercise
4.7.8 Type I - Solved Problem 5
PDF
4.7.9 Solved Problem 6
PDF
4.7.10 Solved Problem 7
PDF
4.7.11 Solved Problem 8
PDF
4.7.12 Solved Problem 9
PDF
4.7.13 Type II - Solved Problem 10
PDF
4.7.14 Solved Problem 11
PDF
4.7.15 Solved Problem 12
PDF
4.7.16 Type III -Solved Problem 13
PDF
4.7.17 Solved Problem 14
PDF
4.7.18 Exercises
PDF
4.8 Trigonometric Substitutions
4.8.1 Trigonometric Substitution
PDF
4.8.2 Solved Problem 1
Video
00:02:50
4.8.2 Quiz
Exercise
4.8.3 Solved Problem 2
Video
00:07:14
4.8.3 Quiz
Exercise
4.8.4 Solved Problem 3
Video
00:04:59
4.8.4 Quiz
Exercise
4.8.5 Solved Problem 4
Video
00:03:50
4.8.5 Quiz
Exercise
4.8.6 Type I - Solved problem 5
PDF
4.8.7 Solved problem 6
PDF
4.8.8 Type II - Solved problem 7
PDF
4.8.9 Solved problem 8
PDF
4.8.10 Type III - Solved problem 9
PDF
4.8.11 Solved problem 10
PDF
4.8.12 Exercises
PDF
4.9 Integration of rational functions by partial fraction
4.9.1 Integration of Rational functions by partial fraction
PDF
4.9.2 Applications
PDF
4.9.3 Solved Problem 1
Video
00:05:27
4.9.3 Quiz
Exercise
4.9.4 Solved Problem 2
Video
00:03:52
4.9.4 Quiz
Exercise
4.9.5 Solved Problem 3
Video
00:05:15
4.9.5 Quiz
Exercise
4.9.6 Solved Problem 4
Video
00:09:05
4.9.6 Quiz
Exercise
4.9.7 Solved Problem 5
Video
00:04:34
4.9.7 Quiz
Exercise
4.9.8 Type 1 Solved problem 6
PDF
4.9.9 Solved problem 7
PDF
4.9.10 Type 2 Solved problem 8
PDF
4.9.11 Solved problem 9
PDF
4.9.12 Type 3 Solved problem 10
PDF
4.9.13 Solved problem 11
PDF
4.9.14 Type 4 Solved problem 12
PDF
4.9.15 Solved problem 13
PDF
4.9.16 Solved problem 14
PDF
4.9.17 Solved problem 15
PDF
4.9.18 Solved problem 16
PDF
4.9.19 Exercises
PDF
4.10 Improper Integrals
4.10.1 Improper Integrals
PDF
4.10.2 I. Definition of an Improper Integral of Type I
PDF
4.10.3 II. Definition of an Improper Integral of Type II
PDF
4.10.4 Examples of Infinite limits of Integration
PDF
4.10.5 Solved Problem 1
Video
00:02:00
4.10.5 Quiz
Exercise
4.10.6 Solved Problem 2
Video
00:03:06
4.10.6 Quiz
Exercise
4.10.7 Solved Problem 3
Video
00:03:17
4.10.7 Quiz
Exercise
4.10.8 Solved Problem 4
Video
00:03:03
4.10.8 Quiz
Exercise
4.10.9 Solved Problem 5
Video
00:03:18
4.10.9 Quiz
Exercise
4.10.10 Solved problem 6
PDF
4.10.11 Solved problem 7
PDF
4.10.12 Solved problem 8
PDF
4.10.13 Solved problem 9
PDF
4.10.14 Solved problem 10
PDF
4.10.15 Solved problem 11
PDF
4.10.16 Solved problem 12
PDF
4.10.17 III. A comparison test for improper integrals
PDF
4.10.18 Solved problem 13
PDF
4.10.19 Solved problem 14
PDF
4.10.20 Exercises
PDF
4.11 Applications - Hydrostatic force and Pressure
4.11.1 Hydrostatic Force and Pressure
PDF
4.11.2 Hydrostatic Force of a submerged plate
PDF
4.11.3 Strategy for finding Hydrostatic Force
PDF
4.11.4 Solved Problem 1
Video
00:09:40
4.11.4 Quiz
Exercise
4.11.5 Solved Problem 2
Video
00:06:56
4.11.5 Quiz
Exercise
4.11.6 Solved Problem 3
PDF
4.11.7 Solved Problem 4
PDF
4.11.8 Solved Problem 5
PDF
4.11.9 Exercises
PDF
4.12 Applications - Moments and center of mass
4.12.1 Moments and center of mass
PDF
4.12.2 Solved Problem 1
Video
00:05:04
4.12.2 Quiz
Exercise
4.12.3 Solved Problem 2
Video
00:07:49
4.12.3 Quiz
Exercise
4.12.4 Solved Problem 3
Video
00:07:40
4.12.4 Quiz
Exercise
4.12.5 Solved Problem 4
PDF
4.12.6 Solved Problem 5
PDF
4.12.7 Solved Problem 6
PDF
4.12.8 Exercises
PDF
Unit - V: Multiple Integrals (MA3151)
35 Exercises • 74 Learning Materials
5.1 Double Integrals
5.1.1 Introduction
PDF
5.1.2 Applications of Multiple Integral in Engineering
PDF
5.1.3 Evaluation of Double Integration in Cartesian Coordinates
PDF
5.1.4 Evaluation of Double Integration in Polar Coordinates
PDF
5.1.5 Properties of Double integrals
PDF
5.1.6 Problem based on Cartesian Form
Video
00:02:46
5.1.6 Quiz
Exercise
5.1.7 Solved problem 2
Video
00:05:13
5.1.7 Quiz
Exercise
5.1.8 Solved problem 3
Video
00:02:30
5.1.8 Quiz
Exercise
5.1.9 Solved problem 4
PDF
5.1.10 Solved problem 5
PDF
5.1.11 Problem based on Region Given
Video
00:05:36
5.1.11 Quiz
Exercise
5.1.12 Solved problem 7
PDF
5.1.13 Solved problem 8
PDF
5.1.14 Solved problem 9
PDF
5.1.15 Problem based on Polar Form
Video
00:02:49
5.1.15 Quiz
Exercise
5.1.16 Solved problem 11
Video
00:03:49
5.1.16 Quiz
Exercise
5.1.17 Solved problem 12
PDF
5.1.18 Exercises
Exercise
5.2 Triple Integrals
5.2.1 Triple integrals
PDF
5.2.2 Problem based on Cartesian Form
Video
00:04:41
5.2.2 Quiz
Exercise
5.2.3 Solved problem 2
Video
00:03:40
5.2.3 Quiz
Exercise
5.2.4 Solved problem 3
PDF
5.2.5 Solved problem 4
PDF
5.2.6 Solved problem 5
PDF
5.2.7 Problem based on Region Given
Video
00:04:40
5.2.7 Quiz
Exercise
5.2.8 Solved problem 7
PDF
5.2.9 Solved Problem 8
Video
00:04:19
5.2.9 Quiz
Exercise
5.2.10 Exercises
Exercise
5.3 Change the Order of Integration
5.3.1 Change of order of integration
PDF
5.3.2 Solved problem 1
Video
00:04:57
5.3.2 Quiz
Exercise
5.3.3 Solved problem 2
Video
00:09:15
5.3.3 Quiz
Exercise
5.3.4 Solved problem 3
Video
00:06:34
5.3.4 Quiz
Exercise
5.3.5 Solved problem 4
Video
00:11:58
5.3.6 Solved problem 5
PDF
5.3.7 Solved problem 6
PDF
5.3.8 Exercise
Exercise
5.4 Change of Variables (Double Integral)
5.4.1 Change of Variables (Double Integral)
PDF
5.4.2 Changing cartesian to polar coordinates
PDF
5.4.3 Solved problem 1
Video
00:05:39
5.4.3 Quiz
Exercise
5.4.4 Solved problem 2
Video
00:05:21
5.4.4 Quiz
Exercise
5.4.5 Solved problem 3
Video
00:05:20
5.4.5 Quiz
Exercise
5.4.6 Solved problem 4
PDF
5.4.7 Solved problem 5
PDF
5.4.8 Exercise
Exercise
5.5 Change of Variables (Triple Integral)
5.5.1 Change of Variables (Triple Integral)
PDF
5.5.2 Change of Cartesian to Spherical Co-Ordinates
PDF
5.5.3 Change of Cartesian to Cylindrical Co-Ordinates
PDF
5.5.4 problem based on Cylindrical Co-Ordinates
Video
00:04:54
5.5.4 Quiz
Exercise
5.5.5 Solved problem 2
Video
00:05:35
5.5.5 Quiz
Exercise
5.5.6 Solved problem 3
PDF
5.5.7 problem based on Spherical Co-Ordinates
Video
00:05:27
5.5.7 Quiz
Exercise
5.5.8 Solved problem 5
Video
00:06:22
5.5.8 Quiz
Exercise
5.5.9 Solved problem 6
PDF
5.5.10 Exercise
Exercise
5.6 Application of Double Integral (Area)
5.6.1 Area as Double integral
PDF
5.6.2 problem based on Cartesian Form
Video
00:05:16
5.6.2 Quiz
Exercise
5.6.3 Solved problem 2
Video
00:05:55
5.6.3 Quiz
Exercise
5.6.4 Solved problem 3
PDF
5.6.5 Solved problem 4
PDF
5.6.6 Solved problem 5
PDF
5.6.7 problem based on Polar Form
Video
00:04:01
5.6.7 Quiz
Exercise
5.6.8 Solved problem 7
PDF
5.6.9 Solved problem 8
PDF
5.6.10 Exercise
Exercise
5.7 Application of Triple Integral (Volume)
5.7.1 Volume as Triple Integral
PDF
5.7.2 Solved problem 1
Video
00:05:01
5.7.2 Quiz
Exercise
5.7.3 Solved problem 2
Video
00:05:55
5.7.3 Quiz
Exercise
5.7.4 Solved problem 3
Video
00:05:46
5.7.4 Quiz
Exercise
5.7.5 Solved problem 4
PDF
5.7.6 Solved problem 5
PDF
5.7.7 Solved problem 6
PDF
5.7.8 Solved problem 7
PDF
5.7.9 Exercise
Exercise
5.8 Moments and Centre of Mass, Moment of Inertia
5.8.1 Moments and centres of mass, Moment of Inertia
PDF
5.8.2 Solved problem 1
Video
00:11:30
5.8.2 Quiz
Exercise
5.8.3 Solved problem 2
Video
00:12:22
5.8.3 Quiz
Exercise
5.8.4 Solved problem 3
PDF
5.8.5 Solved problem 4
PDF
5.8.6 Solved problem 5
PDF
5.8.7 Solved problem 6
PDF
5.8.8 Exercises
PDF
Calculator video (MA3151)
9 Learning Materials
How to use scientific calculator
To find Roots of cubic equation
Video
00:02:50
To find Roots of cubic equation with complex numbers
Video
00:03:35
To find x, y, z
Video
00:04:25
To find A^2
Video
00:05:30
To find A^3
Video
00:05:01
To find AB
Video
00:07:33
To find A^-1
Video
00:05:02
To find Det(A)
Video
00:04:43
To find Adj(A)
Video
00:05:37
University Solved Question Paper (MA3151)
24 Learning Materials
April/May 2024
Part A
PDF
Part B: Q&A - 11
PDF
Part B: Q&A - 12
PDF
Part B: Q&A - 13
PDF
Part B: Q&A - 14
PDF
Part B: Q&A - 15
PDF
November/December 2023
Part A
PDF
Part B: Q&A - 11
PDF
Part B: Q&A - 12
PDF
Part B: Q&A - 13
PDF
Part B: Q&A - 14
PDF
Part B: Q&A - 15
PDF
April/May 2023
Part A
PDF
Part B: Q&A - 11
PDF
Part B: Q&A - 12
PDF
Part B: Q&A - 13
PDF
Part B: Q&A - 14
PDF
Part B: Q&A - 15
PDF
January 2022
Part A
PDF
Part B: Q&A - 11
PDF
Part B: Q&A - 12
PDF
Part B: Q&A - 13
PDF
Part B: Q&A - 14
PDF
Part B: Q&A - 15
PDF
Important Q&A (MA3151)
101 Learning Materials
1. Matrices
1.1 Part A: Q&A
PDF
1.2 Part B: Q&A - 1
PDF
1.3 Part B: Q&A - 2
PDF
1.4 Part B: Q&A - 3
PDF
1.5 Part B: Q&A - 4
PDF
1.6 Part B: Q&A - 5
PDF
1.7 Part B: Q&A - 6
PDF
1.8 Part B: Q&A - 7
PDF
1.9 Part B: Q&A - 8
PDF
1.10 Part B: Q&A - 9
PDF
1.11 Part B: Q&A - 10
PDF
1.12 Part B: Q&A - 11
PDF
1.13 Part B: Q&A - 12
PDF
1.14 Part B: Q&A - 13
PDF
1.15 Part B: Q&A - 14
PDF
1.16 Part B: Q&A - 15
PDF
1.17 Part B: Q&A - 16
PDF
2. Differential Calculus
Standard Differentiation Formulas
PDF
2.1 Part A: Q&A
PDF
2.2 Part B: Q&A - 1
PDF
2.3 Part B: Q&A - 2
PDF
2.4 Part B: Q&A - 3
PDF
2.5 Part B: Q&A - 4
PDF
2.6 Part B: Q&A - 5
PDF
2.7 Part B: Q&A - 6
PDF
2.8 Part B: Q&A - 7
PDF
2.9 Part B: Q&A - 8
PDF
2.10 Part B: Q&A - 9
PDF
2.11 Part B: Q&A - 10
PDF
2.12 Part B: Q&A - 11
PDF
2.13 Part B: Q&A - 12
PDF
2.14 Part B: Q&A - 13
PDF
2.15 Part B: Q&A - 14
PDF
2.16 Part B: Q&A - 15
PDF
3. Functions of Several Variables
3.1 Part A: Q&A
PDF
3.2 Part B: Q&A - 1
PDF
3.3 Part B: Q&A - 2
PDF
3.4 Part B: Q&A - 3
PDF
3.5 Part B: Q&A - 4
PDF
3.6 Part B: Q&A - 5
PDF
3.7 Part B: Q&A - 6
PDF
3.8 Part B: Q&A - 7
PDF
3.9 Part B: Q&A - 8
PDF
3.10 Part B: Q&A - 9
PDF
3.11 Part B: Q&A - 10
PDF
3.12 Part B: Q&A - 11
PDF
3.13 Part B: Q&A - 12
PDF
3.14 Part B: Q&A - 13
PDF
3.15 Part B: Q&A - 14
PDF
3.16 Part B: Q&A - 15
PDF
3.17 Part B: Q&A - 16
PDF
3.18 Part B: Q&A - 17
PDF
3.19 Part B: Q&A - 18
PDF
3.20 Part B: Q&A - 19
PDF
3.21 Part B: Q&A - 20
PDF
3.22 Part B: Q&A - 21
PDF
3.23 Part B: Q&A - 22
PDF
3.24 Part B: Q&A - 23
PDF
4. Integral Calculus
Standard Integration Formulas
PDF
4.1 Part A: Q&A
PDF
4.2 Part B: Q&A - 1
PDF
4.3 Part B: Q&A - 2
PDF
4.4 Part B: Q&A - 3
PDF
4.5 Part B: Q&A - 4
PDF
4.6 Part B: Q&A - 5
PDF
4.7 Part B: Q&A - 6
PDF
4.8 Part B: Q&A - 7
PDF
4.9 Part B: Q&A - 8
PDF
4.10 Part B: Q&A - 9
PDF
4.11 Part B: Q&A - 10
PDF
4.12 Part B: Q&A - 11
PDF
4.13 Part B: Q&A - 12
PDF
4.14 Part B: Q&A - 13
PDF
4.15 Part B: Q&A - 14
PDF
4.16 Part B: Q&A - 15
PDF
4.17 Part B: Q&A - 16
PDF
4.18 Part B: Q&A - 17
PDF
5. Multiple Integrals
5.1 Part A: (Q&A)
PDF
5.2 Part B: Q&A - 1
PDF
5.3 Part B: Q&A - 2
PDF
5.4 Part B: Q&A - 3
PDF
5.5 Part B: Q&A - 4
PDF
5.6 Part B: Q&A - 5
PDF
5.7 Part B: Q&A - 6
PDF
5.8 Part B: Q&A - 7
PDF
5.9 Part B: Q&A - 8
PDF
5.10 Part B: Q&A - 9
PDF
5.11 Part B: Q&A - 10
PDF
5.12 Part B: Q&A - 11
PDF
5.13 Part B: Q&A - 12
PDF
5.14 Part B: Q&A - 13
PDF
5.15 Part B: Q&A - 14
PDF
5.16 Part B: Q&A - 15
PDF
5.17 Part B: Q&A - 16
PDF
5.18 Part B: Q&A - 17
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5.19 Part B: Q&A - 18
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5.20 Part B: Q&A - 19
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5.21 Part B: Q&A - 20
PDF
5.22 Part B: Q&A - 21
PDF
5.23 Part B: Q&A - 22
PDF
5.24 Part B: Q&A - 23
PDF
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