Skip to main content

What mathematics are required for computer science?

May 12, 2023. Mathematics for Computer Science. Free MIT course online 

Mathematics is the science (formal study) of quantities and shapes. Computer science is the study of computational systems.

The Massachusetts Institute of Technology (MIT) offers a free online course on the Mathematics of Computer Science. Consider enrolling today. The mathematicians and computer scientists of the distant future have not been born yet. This is the best time to jump into math and computer science. 

MIT's online course covers three areas:

  •     Fundamental concepts of mathematics.
  •     Discrete structures used in mathematics.
  •     Discrete probability theory.

1. The fundamental concepts of mathematics are "functional diapers": mathematical functions on definitions, ideas, axioms, proofs, examples, relations, sets ("diapers").

  • Definitions are lists of properties or characteristics giving meaning to a mathematical symbol.
  • Proofs are inferential arguments demonstrating by logic that certain assumptions in statements guarantee certain results. 
  • Axioms are statements that are taken as true without proof, serving as foundational blocks for the viability of a mathematical system.
  • Sets are collections of mathematical objects such as numbers, symbols, shapes, points, lines, etc.
  • Relations are value comparisons that can be reflexive, irreflexive, symmetric, anti-symmetric, or transitive.
  • Functions are data processing operations transforming input into output.

2. Discrete mathematical structures are sets or combinations of other sets or substructures. Graphs are points connected by lines. State machines are apparatuses or devices that transitions from one value (state) into another by functional processing of input into output.

3. Discrete probability theory studies the distribution of possible outcomes or events in sets where a specific result cannot be predicted with certainty yet the amount of possible results (events or outcomes) is finite rather than infinite.

Learn more about the Mathematics of Computer Science online course offered by MIT.

Artificial intelligence is the next frontier in mathematics and computer science. At Creatix AI Consulting, the mission and vision is helping clients succeed with AI. We are researching and learning the relevant topics and sharing them as we go. Join us online at Creatix.one, AI for everyone. 




Comments

Post a Comment

Popular posts from this blog

Will Tariffs Reduce the National Debt?

Creatix / June 30, 2025 The U.S. national debt has surpassed $34.7 trillion , and the cost of servicing that debt— just the interest payments—has soared to over $1 trillion annually as of mid-2025. This marks a historic shift: we now spend more just paying interest on the National debt than on defense, Medicare, or any single discretionary program. Economists warn that unless fiscal policy changes, interest costs will crowd out critical investments in infrastructure, education, and innovation, deepening the structural debt burden for future generations. From Osama to MAGA OBBA: the path to U.S. bankruptcy. Osama Bin Laden "succeeded" in putting us in a path to bankruptcy. The U.S. national debt began to increase dramatically after 9/11, marking a sharp departure from the budget surpluses of the late 1990s. In response to the terrorist attacks, the U.S. launched costly wars in Afghanistan and Iraq, while also implementing sweeping tax cuts under the Bush administration. These...
Post a Comment
Read more

Chinese AI Robots Everywhere By the 2050s: Are you Ready?

Creatix / November 8, 2026 AI Robots Everywhere by the 2050s: Are You Ready? By the 2050s , artificial intelligence and robotics could merge into the most transformative household revolution since electricity. Analysts forecast trillions in market value for humanoid and service robots, and billions of units operating globally. The question isn’t if they’ll be everywhere—it’s whether we’re ready for it. The 2050s Robot Boom By mid-century, expect AI robots to clean, cook, carry, and even care. Thanks to exponential progress in AI reasoning, computer vision, and robotics hardware , the machines we see today in factories or labs will become accessible home companions. Costs will plummet as production scales, while software will learn from vast shared data networks—meaning every robot gets smarter as one learns. Economic studies suggest the global humanoid-robot market could exceed $5 trillion by 2050 , transforming domestic life, eldercare, and even education. What smartphones did f...
Post a Comment
Read more

When will the Tesla bubble burst?

December 11, 2024 When will the Tesla bubble burst?  We don't know Fools rush in. It's impossible to know exactly when the Tesla bubble will finally burst. Unfortunately for us at Creatix, we began shorting Tesla too soon. We are down almost 40% on our position as of today. We are not fooling ourselves thinking that we were ever make money on the short position. We truly doubt that Tesla can go down 40% any time soon.  We would love to add to the short position, but it would exceed our $3,000 limit on the stupid bets that we do for fun. We're not Mr. Beast. We have a very limited budget for ridiculousness. We would love to short Tesla tomorrow morning at the ridiculous share price of $424. Tesla is trading at an incredible 116 times earnings, which gives Tesla a market capitalization of $1.32 Trillion. Elon Musk added today $13.4 billion to his fortune. Yes, $13 billion in one day. Yesterday, he had added $11 billion. Yes, that's $24 billion in 2 days.  Six months ago, ...
Post a Comment
Read more