What you will learn
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Important Formulae and Procedures
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Derivations
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Engineering relevance of critical concepts
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Model Question Paper Problems
Embark on a mathematical odyssey tailored for 4th semester Computer Science Engineering students at Visvesvaraya Technological University (VTU) with course 21MATCS41. Dive deep into the essentials of Logic, explore the intricate realm of Relations & Functions, and venture into the fascinating world of Graph Theory. Harness the power of Statistical Methods, master Curve Fitting techniques, and unravel the mysteries of Probability Distributions. Delve into the realm of Joint Probability Distribution and Sampling Theory, equipping yourself with the tools to navigate complex data landscapes. Join us on this transformative journey through Engineering Mathematics, where theory meets application and innovation thrives.
Understanding Truth Table - Negation Operator
Understanding Truth Table - Logical "And" Operator
Understanding Truth Table - Logical "Or" Operator
Understanding Truth Table - Logical "Implication" Operator
Understanding Truth Table - Logical "Double Implication" Operator
Understanding Tautology and Fallacy
Understanding Logical Equivalence
Introducing Laws of Logic
Introducing Rules of Inference
Introduction to Quantifiers
Introducing Rules of Quantifiers
Quantifiers - Proof of Theorems
Numericals - (Problem 1)
Numericals - (Problem 2)
Numericals - (Problem 3)
Numericals - (Problem 4)
Numericals - (Problem 5)
Numericals - (Problem 6)
Numericals - (Problem 7)
Numericals - (Problem 8)
Types of Functions - One to One
Types of Functions - Onto
Types of Functions - Composite
Properties of Composite Functions
Types of Functions - Inverse
Important Formulae to Remember
Set 1 - Numericals: (Problem 1)
Set 1 - Numericals: (Problem 2)
Set 1 - Numericals: (Problem 3)
Set 1 - Numericals: (Problem 4)
Set 1 - Numericals: (Problem 5)
Set 1 - Numericals: (Problem 6)
Set 1 - Numericals: (Problem 7)
Set 1 - Numericals: (Problem 8)
Set 2 - What you will learn
Introducing Properties of Relations
Properties of Relations - Reflexive and Non-Reflexive Relations
Properties of Relations - Symmetric and Antisymmetric Relations
Properties of Relations - Asymmetric Relation
Properties of Relations - Transitivity Relation
Introduction to Partial Orders (POSET) and Hasse Diagram
Understanding Equivalence Relations and Partitions
Set 2 - Numericals: (Problem 1)
Set 2 - Numericals: (Problem 2)
Set 2 - Numericals: (Problem 3)
Set 2 - Numericals: (Problem 4)
Set 2 - Numericals: (Problem 5)
Set 2 - Numericals: (Problem 6)
Set 3 - What you will learn
Introduction to Graph Theory
Introdution to Subgraphs & Complements
Understanding Graph Ishmorphism
Understanding Vertex Degree
Understanding Euler Trails and Circuits
Set 3 - Numericals: (Problem 1)
Set 3 - Numericals: (Problem 2)
Set 3 - Numericals: (Problem 3)
Set 3 - Numericals: (Problem 4)
Set 3 - Numericals: (Problem 5)
Set 3 - Numericals: (Problem 6)
Set 3 - Numericals: (Problem 7)
Set 3 - Numericals: (Problem 8)
Set 3 - Numericals: (Problem 9)
Introducing the Need for Regression
Understanding Simple Linear Regression
Limitation of Linear Regression
Introducing Correlation Coefficient
Understanding Rank Correlation Coefficient
Set 1 - Numericals: (Problem 1)
Set 1 - Numericals: (Problem 2)
Set 1 - Numericals: (Problem 3)
Set 1 - Numericals: (Problem 4)
Set 1 - Numericals: (Problem 5)
Set 1 - Numericals: (Problem 6)
Set 1 - Numericals: (Problem 7)
Set 1 - Numericals: (Problem 8)
Set 1 - Summary
Fitting a curve of the form
Set 2 - Numericals: (Problem 1 - Linear Curve Fitting)
Set 2 - Numericals: (Problem 2 - Linear Curve Fitting)
Fitting curve of the form
Set 2 - Numericals: (Problem 1 - Exponential Curve Fitting)
Fitting a curve of the form
Set 2 - Numericals: (Problem 1 - Parabolic Curve Fitting)
Set 2 - Numericals: (Problem 2 - Parabolic Curve Fitting)
Set 2 - Summary
Fundamentals of Probability - (Example 1 - Reliability of a Vehicle)
Introduction to Random Variables
Understanding Discrete Random Variables and Probability Mass Function
Understanding Continuous Random Variables and Probability Density Function
Mathematical Expectation - Concept of Mean
Mathematical Expectation - Concept of Variance
Set 2 - Numericals: (Problem 1)
Set 2 - Numericals: (Problem 2 &3)
Understanding Normal Distribution - Introduction (Key Takeaways)
Understanding Normal Distribution - What is a bell curve?
Understanding Normal Distribution - Equation & Interpretation
Understanding Normal Distribution - Cummulative probability
Understanding Normal Distribution - Z-Score & Z-Tables
Understanding Normal Distribution - Data Fitting
Understanding Normal Distribution - Understanding moments (Beyond Curriculum)
Set 3 - Normal Distributions - Numericals: (Problem 1)
Set 3 - Normal Distributions - Numericals: (Problem 2)
Understanding Exponential Distribution - Equation & Interpretation
Set 3 - Exponential Distributions - Numericals: (Problem 1)
Set 3 - Exponential Distributions - Numericals: (Problem 2)
Set 3 - Continuous Probability Distributions - Numericals: (Problem 3)
Set 3 - Continuous Probability Distributions - Numericals: (Problem 4)
Understanding Binomial Distribution - Equation & Interpretation
Litracy for Derivation of Mean & Variance for Binomial & Poisson Distributions
Binomial Distribution - Mean
Binomial Distribution - Variance
Understanding Poisson Distribution - Equation & Interpretation
Poisson Distribution - Mean
Poisson Distribution - Variance
Set 3 - Binomial Distributions - Numericals: (Problem 1)
Set 3 - Binomial Distributions - Numericals: (Problem 2)
Set 3 - Poisson Distributions - Numericals: (Problem 3)
Set 3 - Poisson Distributions - Numericals: (Problem 4)
Numericals: (Problem 1)
Numericals: (Problem 2)
Numericals: (Problem 3)
Numericals: (Problem 4)
Numericals: (Problem 5)
Summary
Understanding Random Sampling & Simple Sampling Attributes
Understanding Sampling Distribution & Standard Error
Example: Sampling Distribution & Standard Error
Hypothesis Testing, Level of Significance, Confidence Limits and Errors
Set 1 - Numericals: (Problem 1)
Set 1 - Numericals: (Problem 2)
Set 1 - Numericals: (Problem 3)
Set 1 - Numericals: (Problem 4)
Set 1 - Numericals: (Problem 5)
Summary
Understanding Central Limit Theorem
Central limit Theorem - Example
Understanding Students t-Distribution & Formulae
Set 1 - Numericals: (Problem 1)
Set 1 - Numericals: (Problem 2)
Set 1 - Numericals: (Problem 3)
Set 1 - Numericals: (Problem 4)
Set 1 - Numericals: (Problem 5)
Set 1 - Numericals: (Problem 6)
Summary
Introduction to Chi-square
Set 2 - Numericals: (Problem 1 - Chi-square)
Set 2 - Numericals: (Problem 2 - Chi-square)
Set 2 - Numericals: (Problem 3 - Chi-square)
Set 2 - Numericals: (Problem 4 - Chi-square)
Set 2 - Numericals: (Problem 5 - Chi-square)
Summary
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₹ 1999.00
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Course Duration0
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Course LevelIntermediate
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Student Enrolled0
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LanguageEnglish
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