Advanced Math for Computer Science Mastery

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Stefan Toshkov Zhelyazkov

7:08:11

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1. Boolean Variables and De Morgans Law

1. Boolean Variables.mp4

06:49

2. Boolean Variables Truth Variables.mp4

12:12

3. Boolean Variables De Morgans Law.mp4

12:16

4. Boolean Variables De Morgans Law Part 2.mp4

08:47

2. Digital Logic and Circuitry

1. Boolean Operations in Computer Hardware.mp4

13:34

2. Computer Transistors and Gates.mp4

06:29

3. Circuit Representation and Exercise.mp4

09:26

4. Circuit Representation and Exercise Solutions.mp4

06:34

5. Simplification of Logical Circuits.mp4

09:07

6. Set Reset Flip - Flop.mp4

13:29

3. Number Systems Fundamentals

1. Decimal Numerical System.mp4

04:45

2. Binary Numerical System.mp4

13:43

3. Twos Component Notation.mp4

09:04

4. Hexadecimal Notation.mp4

04:27

4. Digital Data Representation and Error-Correction

1. Representation of Characters and Numeric Values.mp4

07:53

2. Digital Representation of Sounds.mp4

07:39

3. Digital Representation of Images.mp4

07:59

4. Error-Correction in the Digital Systems.mp4

10:26

5. Challenge Solution.mp4

10:02

5. Set Theory and Operations

1. Operations with Sets.mp4

05:14

2. Set Theory Relations.mp4

06:35

6. Introduction to Finite Automata

1. Theory of Computation.mp4

05:24

2. Finite Automata (FA).mp4

07:16

3. DFA Graphs and Exercise.mp4

08:13

7. NFA and Regular Languages

1. DFA Challenge.mp4

06:06

2. Nondeterministic Finite Automata (NFA).mp4

04:14

3. Practical Exercise NFA Examples.mp4

13:44

4. Operations with Languages.mp4

03:30

5. Regular Languages.mp4

02:12

6. Regular Expressions.mp4

05:17

8. Number Theory and Modular Arithmetic

1. Divisibility.mp4

04:25

2. Euclidean Algorithm.mp4

09:31

3. Modular Arithmetic.mp4

07:39

4. Prime Number Functions.mp4

06:39

5. Finding Prime Numbers.mp4

08:55

6. Modular Addition and Multiplication.mp4

07:33

9. Advanced Cryptography and Key Exchange

1. Encryption and Decryption of Public Keys.mp4

05:04

2. Encryption and Decryption of Schemes.mp4

04:08

3. Advanced RSA Algorithm.mp4

06:51

4. Key Generation with RSA Practical Exercise.mp4

19:57

5. Key Exchange Algorithm of Diffie - Hellman.mp4

05:07

6. Key Exchange Algorithm Practical Exercise.mp4

05:45

7. Key Exchange Algorithm Exercise Solution.mp4

03:10

10. Dijkstras Algorithm and Practice

1. Dijkstra Algorithm.mp4

10:48

2. Dijkstra Algorithm Exercise.mp4

17:41

11. Introduction to Linked Lists and Operations

1. Linked List Introduction.mp4

06:45

2. Single Linked List.mp4

15:07

3. Double Linked List.mp4

11:24

4. Linked List Operations.mp4

10:52

5. Exercise Linked List Operations.mp4

03:03

6. Exercise Solution.mp4

15:21

Description

From Basics to Advanced Operations

What You'll Learn?

Explore fundamental proof techniques such as mathematical induction and recursion theory to establish the validity of mathematical propositions.
Delve into the realm of mathematical logic, encompassing propositional and first-order calculus, and gain insights into the Model Theorem.
Grasp the essential principles of program verification and model checking to ensure the correctness and reliability of computer programs.
Uncover the significance of linear algebra and matrix theory in the context of computer science, offering powerful tools for various applications.
Examine Boolean algebra and its practical applications in digital electronics, playing a pivotal role in digital circuit design.
Investigate Lambda Calculus as the foundational concept of functional programming, enabling the creation of elegant and efficient software solutions.
Explore the world of number theory and its vital role in encryption methods, safeguarding sensitive information in the digital age.
Embrace modern statistics and probabilistic methods in computer science, offering powerful tools for data analysis, machine learning, and decision-making.
Gain a deep understanding of functional analysis and its relevance to the efficiency of computer algorithms, optimizing computational processes.
Dive into decision theory to make informed choices and maximize the benefits of computer systems and applications.

Who is this for?

Computer Science Enthusiasts

Aspiring Programmers

Mathematics Enthusiasts

Students

What You Need to Know?

Basic Computer Skills

Mathematics Fundamentals

Desire to Learn

More details

Description
This course comprehensively addresses the mathematical foundations essential for aspiring software developers. It delves into a diverse range of mathematical concepts, including Linear Algebra, Modern Analysis, Mathematical Logic, Number Theory, and Discrete Mathematics. Upon completing this course, you will possess the skills to scrutinize and elucidate principles and techniques within the realm of computer science. It offers a remarkable opportunity to acquire a profound grasp of the intricate workings of computer systems during programming. The specific objectives of the course encompass the following:
Master the art of applying proof techniques to your computer programs.
Gain proficiency in encrypting and decrypting messages through Number Theory.
Explore the interconnectedness of software development with Discrete Mathematics and Digital Electronics.
Develop a keen aptitude for utilizing mathematical tools to adeptly analyse any computer algorithm.
Harness the power of Calculus, Probability Theory, and Linear Algebra in computational tasks.
Grasp the application of Lambda Calculus in the realm of Functional Programming.
Discrete mathematics, in essence, centres around the study of mathematical structures that exhibit a fundamental discreteness rather than continuity. Unlike real numbers, which exhibit smooth variations, discrete mathematics revolves around entities like integers, graphs, and logical statements, which do not exhibit such smooth transitions but instead feature distinct and separated values. Consequently, discrete mathematics excludes topics encompassed by "continuous mathematics," such as calculus or Euclidean geometry. Discrete objects are often countable through integers. To succinctly put it, discrete mathematics focuses on countable sets, which may include finite sets or sets with a cardinality analogous to the natural numbers. Nonetheless, the term "discrete mathematics" lacks a precise definition and is more accurately characterized by what it omits, specifically the domain of continuously varying quantities and related concepts.

Who this course is for:
Computer Science Enthusiasts
Aspiring Programmers
Mathematics Enthusiasts
Students

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Hello, I'm an experienced AI engineer and natural language processing enthusiast with a passion for building intelligent chatbot applications. I hold a Master's degree in Computer Science and have spent over a decade in the field of artificial intelligence, specializing in language modeling and chatbot development. My teaching style is all about making complex AI concepts accessible and practical for learners of all levels. I believe in providing clear explanations, real-world examples, and hands-on projects that reinforce the concepts learned. You'll find a supportive and engaging learning environment in my courses, where questions are encouraged, and curiosity is nurtured.

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