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Sunday, June 6, 2021
4.53 out of 5
4.53
42 reviews on Udemy

The Complete Mathematics Software Developer Course for 2021

All Mathematics You Need To Know As a Programmer
Instructor:
Martin Yanev
21,203 students enrolled
English [Auto]
Proof Techniques. Mathematical Induction and Recursion Theory.
Mathematical Logic. Propositional and First Order Calculus. Model Theorem.
Programs verifications and Model Checking
Linear Algebra. Matrix Theory in Computer Science.
Boolean Algebra and its applications in Digital Electronics.
Lambda Calculus as a Foundation of Functional Programming
Number Theory and Encryption.
Modern Statistics and Probabilistic Methods in Computer Science.
Functional Analysis and the efficiency of computer algorithms Decision Theory

This course covers all Mathematics needed to become Software Developer. Here we will discuss Linear Algebra, Modern Analysis, Mathematical Logic, Number Theory and Discrete Mathematics. By the end of this course you will be able to analyze and describe computer science concepts and methods. This course is a great opportunity for you to gain deep understanding of all processes a executed in the computer system when programming. The specific objectives of the course are the following:

  1. Learn how to apply proof techniques to your computer program.

  2. Learn encrypting and decrypting messages with Number Theory.

  3. Learn how the software development is related to Discrete Mathematics and Digital Electronics.

  4. Understand how to use mathematical tools to properly analyze any computer algorithm.

  5. Learn how to apply Calculus, Probability Theory and Linear Algebra while computing.

  6. Understand how to apply Lambda Calculus to Functional Programming.

Introduction

1
Introduction
2
Why Learning Mathematics for Computer Science?

Boolean Variables Logic

1
Boolean Variables
2
Truth Tables
3
De Morgan's Law
4
Boolean Exercise - Solution

Boolean Algebra for Digital Electronics

1
Boolean Operations in Computer Hardware
2
Computer Transistors and Gates
3
Circuit Representation and Exercise
4
Circuit Representation: Exercise Solution
5
Simplification of Logical Circuits
6
Set Reset Flip - Flop
7
Logical Circuits and SR Flip-Flop: Exercise Solution

Numerical Systems and Their Applications

1
Decimal Numerical System
2
Binary Numerical System
3
Two's Component Notation
4
Hexadecimal Numbers

Digital Representations and Error Detection

1
Representation of Characters and Numerical Values
2
Digital Representation of Sounds
3
Digital Representation of Images
4
Error-Correction in the Digital Systems

Set Theory

1
Sets Relations
2
Operations With Sets
3
Set Theory Relations

Finite Automata

1
Theory of Computation
2
Finite Automata
3
Deterministic Finite Automata (DFA)
4
DFA Challenge

Non - Deterministic Finite Automata & Regular Operations

1
Non - Deterministic Finite Automata
2
NFA Examples: Practical Exercise
3
Operations With Languages
4
Regular Languages
5
Regular Expressions

Numbers Theory

1
Divisability
2
Euclidean Algorithm
3
Modular Arithmetic
4
Modular Addition and Multiplication
5
Prime Number Functions
6
Prime Number Testing

Cyber Security: Public Key Cryptography

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
RSA Exercise Solution
6
Key Exchange Algorithm of Diffie - Hellman
7
Key Exchange Algorithm: Exercise Solution

Dijkstra Algorithm

1
Dijkstra Algorithm | Part 1
2
Dijkstra Algorithm | Part 2

Bonus Lecture

1
Bonus Lecture
You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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Includes

7 hours on-demand video
1 article
Full lifetime access
Access on mobile and TV
Certificate of Completion