Auxiliary Material
1
install the packages needed by this book; you fill out c(), e.g. c(‘ggplot2’, ‘dplyr’)
Why read this book
Structure of the book
Software information and conventions
Acknowledgments
About the Authors
3
GAMA101- Mathematics for Computer and Information Science-1
3.1
Module-1 Single Variable Calculus and its applications in Computer Science
3.1.1
Instanteneous Average Throughput of a Network using limit
3.2
Refreshing knowledge
3.3
Limit of a Function
3.3.1
Understanding Limits of a Function
3.3.2
Practice Problems
3.3.3
Limit laws
3.3.4
Limit Problems and Solutions
3.3.5
Additional Problems
3.4
Continuity of Functions
3.4.1
Examples of Continuity
3.4.2
Visualization of Continuity
3.4.3
Importance of Continuity in Analysis and Design of Computational Models
3.4.4
Examples of Continuity in Computer Science
3.5
Rate of Change
3.5.1
Definition of Rate of Change
3.5.2
Practical Applications in Computer Science
3.5.3
Takeaway
3.6
Transition from Rate of Change to First Derivative
3.6.1
From Rate of Change to Derivatives
3.6.2
Instantaneous Rate of Change
3.6.3
Definition of the Derivative
3.6.4
Chain Rule in Differentiation
3.6.5
Basic Rules in Differentiation
3.6.6
Implicit Differentiation
3.6.7
Tangents and Normal Lines
3.6.8
Linearization of a Function
3.6.9
Extending from First Derivatives to Higher-Order Derivatives
3.6.10
Convexity and Concavity of Functions
3.7
Module-2 Foundations of Multi variable calculus
3.8
Module-3 Calculus for analysis and un-constrined optimization
3.9
Module-4 Calculus and Constrained optimization
4
Fundamentals of Linear Algebra
4.1
Introduction
4.1.1
1. Systems of Linear Equations
4.2
Solution by Gauss Elimination
4.2.1
Suggested examples
4.2.2
Introduction to the Central Limit Theorem
4.2.3
Example: Analyzing Network Traffic
4.2.4
Python Implementation with Interactive Demonstrations
References
References
Published with bookdown
Auxiliary Material- Mathematics for Computer and Information Sciences
References