The operation of computers started only after advances in mathematics and logic. The mathematical foundation of computers is logic. Other fields like calculus, probability theory, and set theory are mathematical fields that are applied in computers programs but are not very important. However, logic can be a basis for all types of mathematics. 

Find out the fascinating history of Mathematics.

In academic terms, people who take up courses in computer science do a lot of Linear Algebra. More practically, good understanding of mathematical concepts helps students to understand computers. People with good understanding of mathematical concepts easily understand how logic controllers workhow to write better algorithms, and how encryption works.

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Relationship Between Maths and Computing

Mathematics is the foundation on which Computer Science is built. It will not be an exaggeration to say that a course in Computer Science is a subset of a general course in Mathematical Sciences. Here are some points that demonstrate this.

Computers run on maths
Ever wondered what maths is good for? Look no further than your laptop (Source: Pixabay.com - Monoar)

Discrete Mathematics: The Foundation of Computer Science

Logic Notation, Set Theory, Combinatorics, Graph Theory, Probability, Number Theory, Algebra, are all a part of Discrete Mathematics and also a basic foundation for Programming and Computer Science.

Discover the link between mathematics and art.

Mathematics and the Usage of Algorithms

Algorithms are a fundamental part of Computer Science and every student enrolled in a Computer Science course in university must have heard of them one way or another. Essentially, algorithms are a set of instructions that demonstrate the implementation of a program or an application.

Mathematics to Acquire Analytical Skills for Computer Science Mastery

Analytical skills are a necessity for learning problem-solving and data analysis. And, mathematics is the first place where you get to use these skills! Mathematics, as a discipline, compels students to analyze equations and understand the derivation flow in case a mistake is made. This mistake needs to be fixed in order to obtain the final solution.

Move ahead with this guide to essential Maths vocabulary.

Learn Communication Through Abstract Language

A computer programme has its own languages, which are very abstract. Using syntax, one must represent specific processes, commands, and visuals through punctuation, symbols, and single words.  Abstract programming languages are very similar to the mathematical language that students learn in math class.

From simple equalities to complex mathematical representations, learning mathematics teaches students the art of reading, comprehending, formulating thoughts, and communicating with abstract language.

Applications of Mathematics in Computer Science

There are various types of mathematics in computer science. Computer science examines the principles and use of computers in processing information, designing hardware and software, and using applications. Possessing a strong foundational knowledge of mathematics is vital to gaining an understanding of how computers work. Mathematics is a fundamental scholarly tool in computing.

Binary Math

Binary math is the heart of computer operation and among the most essential types of math used in computer science. Binary is used to symbolize every number within the computer. The binary number system is an alternative to the decimal system.

Using this system simplifies computer design. Reading and simple mathematical operations are vital for hardware low-level programming. Knowing how to work with a hexadecimal number system is necessary for various programming functions, including setting the color of an item.

Standard arithmetic is utilized in numerous functions of computer programming. In nearly every written computer programme, addition, subtraction, multiplication, and division are used. Binary math is essential if you are looking for jobs in mathematics and computing.

College Algebra

College algebra covers various concepts, including linear equations, operations, factoring, exponents, polynomials, quadratic equations, rational expressions, radicals, ratios, proportions, and rectangular coordinates.

computer science
Maths is at the heart of computer programmes. | Image source: Caspar Camille Rubin on Unsplash

College Algebra focuses on algebraic relationships, graphs, and functions and students learn to solve for one or two unknown variables in various complex equations. Students also learn how to graph algebraic functions.

How has the teaching of Mathematics changed over time?

Algebra is used in computer science in the development of algorithms and software for working with mathematical objects. It is also used to design formulas that are used in numerical programs and for complete scientific computations.

Statistics

Statistics is a form of math used in computer science that uses quantified models, representations, and synopses for a provided collection of experimental data or actual studies. The field studies methodologies to obtain, review, evaluate, and form conclusions from data.

Some statistical measures include mean, skewness, regression analysis, variance, analysis of variance, and kurtosis. Statistics is used for data mining, speech recognition, vision and image analysis,  data compression, traffic modelling, and even artificial intelligence and for simulations. A background in statistics is needed to understand the algorithms and statistical properties of computer science.

Calculus

Calculus is the examination of continuous change and the rates change occurs. It handles the finding and properties of integrals and derivatives of functions. There are 2 types of calculus, namely differential calculus and integral calculus.

Read about one of the greatest scientific minds, Albert Einstein, and his contribution to Maths.

Differential calculus deals with the rate of change of a quantity. Integral calculus determines the quantity where the change rate is known. Calculus is used in an array of computer science areas, including creating graphs or visuals, simulations, problem-solving applications, coding in applications, creating statistic solvers, and the design and analysis of algorithms.

Careers in Mathematics and Computer Science

Courses in mathematics and its applications in computer science can land you in your dream job right after college. For this, you need to study in a university programme that offers the chance to study with this interdisciplinary approach.

Here are the top universities and colleges in India offering a degree course in mathematics and computer science. Enrol in these advanced courses and seek guidance from private maths tutors near me. Soon, you will find yourself in a company of international repute!

B.Tech Mathematics and Computing, Sikkim Manipal University

This is a 4-year undergraduate programme providing a combination of Mathematics and Computer Science. It concentrates on areas where mathematics and computing are most relevant to each other.

The basic academic qualifications for this programme are the completion of 10+2 with a minimum of 60%. Candidates can also appear for various entrance tests to get admission to this course. The average fees range from INR 50,000 to 5 Lacs per annum.

On completion of this course, students can:

  • Easily get jobs as a Software Engineer, Testing Engineer, Technical Support in various IT firms.
  • Learn skills like software development, programming languages, building websites, etc.
  • Opt for jobs in numerous sectors such as MNCs, Software Firms, the Banking sector, etc.

Learn how to avoid these popular misconceptions in mathematics.

Mathematics and Computer Science Major, Ashoka University

The interdisciplinary major in Mathematics and Computer Science requires students to take a total of 18 courses, nine under each discipline. The academic requirement for this interdisciplinary major include:

  • Critical Thinking Seminars:
    • Computer Science: CS-CTS 1: Discrete Math
    • Mathematics: Introduction to Proofs
  • Compulsory Courses:
    • Computer Science:
      • Introduction to Computer Programing
      • Computer Organization and Systems
      • Algorithm Design and Analysis
      • Computer Networks
      • Advanced Programming
    • Mathematics:
      • Multivariate Calculus
      • Real Analysis
      • Probability 1
      • Abstract Algebra 1
      • Linear Algebra

Here is all you need to know about the evolution of the perceptions towards and pedagogy of Mathematics.

B.Tech in Mathematics and Computing, IIT Ropar

The mathematics department at IIT Ropar, in collaboration with the computer science department, is offering a 4-year B. Tech programme in Mathematics and Computing with an emphasis on Artificial Intelligence (AI).

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Data scientists
With the advent of Big Data, the importance of mathematics in computing has become even more pronounced. | Image source: northeastern.edu.com

The course is designed to prepare graduates well for advanced degrees and careers in a variety of fields across various industries. The curriculum is designed in such a way that this programme provides a perfect platform for those who seek strong mathematical and analytical components with a specialization in AI.

Highlights of the Programme

  • The programme core consists of 40% Mathematics, 30% core CS and 30% AI-related courses.
  • The students have the flexibility to choose elective courses from a broad spectrum of courses depending on their interests.
  • The majority of the courses are designed to offer both theoretical knowledge and practical training through Labs/Practicals/Case studies.
  • Option to do projects in other departments/research labs/industries/foreign universities.
  • Apart from the capstone project, a six months industry internship option is available.

The course is an amalgamation of mathematics with computer science and financial engineering, covering the major areas in demand today. The course provides students with comprehensive theoretical knowledge and also practical training in computer science, numerical computing, and mathematical finance.

What are some examples of maths in art?

The IIT introduced this programme due to the need for sophisticated mathematics for modern scientific investigations and technological developments. The curriculum is designed to provide students with an in-depth theoretical background and practical training in computer science, numerical computing, and mathematical finance.

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Shreyanjana

Shreyanjana is an archaeologist who ironically finds the written word to be the most powerful means of storytelling. A travel buff and a photography enthusiast, she has been writing and sharing stories of all sorts ever since she can remember.