Advanced Math for Computer Science Mastery

سرفصل های دوره

From Basics to Advanced Operations

1. Boolean Variables and De Morgans Law

1. Boolean Variables

2. Boolean Variables Truth Variables

3. Boolean Variables De Morgans Law

4. Boolean Variables De Morgans Law Part 2

2. Digital Logic and Circuitry

1. Boolean Operations in Computer Hardware

2. Computer Transistors and Gates

3. Circuit Representation and Exercise

4. Circuit Representation and Exercise Solutions

5. Simplification of Logical Circuits

6. Set Reset Flip - Flop

3. Number Systems Fundamentals

1. Decimal Numerical System

2. Binary Numerical System

3. Twos Component Notation

4. Hexadecimal Notation

4. Digital Data Representation and Error-Correction

1. Representation of Characters and Numeric Values

2. Digital Representation of Sounds

3. Digital Representation of Images

4. Error-Correction in the Digital Systems

5. Challenge Solution

5. Set Theory and Operations

1. Operations with Sets

2. Set Theory Relations

6. Introduction to Finite Automata

1. Theory of Computation

2. Finite Automata (FA)

3. DFA Graphs and Exercise

7. NFA and Regular Languages

1. DFA Challenge

2. Nondeterministic Finite Automata (NFA)

3. Practical Exercise NFA Examples

4. Operations with Languages

5. Regular Languages

6. Regular Expressions

8. Number Theory and Modular Arithmetic

1. Divisibility

2. Euclidean Algorithm

3. Modular Arithmetic

4. Prime Number Functions

5. Finding Prime Numbers

6. Modular Addition and Multiplication

9. Advanced Cryptography and Key Exchange

1. Encryption and Decryption of Public Keys

2. Encryption and Decryption of Schemes

3. Advanced RSA Algorithm

4. Key Generation with RSA Practical Exercise

5. Key Exchange Algorithm of Diffie - Hellman

6. Key Exchange Algorithm Practical Exercise

7. Key Exchange Algorithm Exercise Solution

10. Dijkstras Algorithm and Practice

1. Dijkstra Algorithm

2. Dijkstra Algorithm Exercise

11. Introduction to Linked Lists and Operations

1. Linked List Introduction

2. Single Linked List

3. Double Linked List

4. Linked List Operations

5. Exercise Linked List Operations

6. Exercise Solution

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