What you’ll learn
- 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 includes:
- 6.5 hours on-demand video
- 1 article
- 2 downloadable resources
- Access on mobile and TV
- Certificate of completion
Description
This course covers all the math needed to become a software developer. Here we will cover linear algebra, modern analysis, mathematical logic, number theory and discrete mathematics. At the end of this course you will be able to analyze and explain computer science concepts and methods. This course is a great opportunity for you to gain an in-depth understanding of all the processes involved in programming on computer systems. The specific objectives of this course are as follows:
Learn how to apply proof techniques to your computer programs.
Learn how to encrypt and decrypt messages using Number Theory.
Learn how software development relates to discrete mathematics and digital electronics.
Learn how to use math tools to properly analyze computer algorithms.
Learn how to apply calculus, probability, and linear algebra to calculations.
Find out how to apply lambda calculi to functional programming.
Discrete mathematics is the study of mathematical structures which are inherently discrete and discontinuous. Unlike real numbers, which have the property of varying “smoothly”, objects studied in discrete mathematics – such as integers, graphs, and expressions in logic – do not vary in this smooth way, but instead have distinct discrete values. Therefore, discrete mathematics excludes subjects from “continuous mathematics” such as calculus or Euclidean geometry. Discrete objects can often be enumerated using integers. More formally, discrete mathematics is characterized as the branch of mathematics that deals with countable sets (finish sets or sets with the same cardinality as natural numbers). However, there is no precise definition for the term “discrete mathematics”. In fact, discrete mathematics is explained less by what it includes than what it excludes: continuously varying quantities and related concepts.
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