Discrete Mathematics courses can help you learn logic, set theory, combinatorics, and graph theory. You can build skills in problem-solving, algorithm design, and mathematical reasoning, which are valuable in computer science and cryptography. Many courses introduce tools such as MATLAB or Python for implementing algorithms and visualizing mathematical concepts, allowing you to see how these skills apply in areas like data analysis and network design.

University of California San Diego
Skills you'll gain: Graph Theory, Logical Reasoning, Combinatorics, Computational Logic, Deductive Reasoning, Cryptography, Probability, Computational Thinking, Encryption, Probability Distribution, Network Analysis, Public Key Cryptography Standards (PKCS), Theoretical Computer Science, Bayesian Statistics, Python Programming, Data Structures, Cybersecurity, Algorithms, Arithmetic, Visualization (Computer Graphics)
Beginner · Specialization · 3 - 6 Months

Shanghai Jiao Tong University
Skills you'll gain: Combinatorics, Graph Theory, Theoretical Computer Science, Mathematical Theory & Analysis, Advanced Mathematics, Network Analysis, Computational Thinking, Algorithms, Data Structures, Computer Science
Intermediate · Course · 1 - 3 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Theoretical Computer Science, Applied Mathematics, Algorithms, Cryptography, Relational Databases, Data Management
Beginner · Course · 1 - 3 Months

Peking University
Skills you'll gain: Graph Theory, Computational Logic, Theoretical Computer Science, Logical Reasoning, Network Analysis, Spatial Analysis, Deductive Reasoning, Computational Thinking, Mathematical Modeling, Computer Science, Algebra, Algorithms
Beginner · Course · 3 - 6 Months
Stanford University
Skills you'll gain: Mathematical Theory & Analysis, Mathematics and Mathematical Modeling, Calculus, Deductive Reasoning, Logical Reasoning
Intermediate · Course · 1 - 3 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Data Analysis, Computational Logic, Engineering Calculations, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Analytical Skills, Bayesian Statistics, Differential Equations, Programming Principles, Statistical Inference, Theoretical Computer Science, Numerical Analysis, Descriptive Analytics, Applied Mathematics
Beginner · Specialization · 3 - 6 Months

Imperial College London
Skills you'll gain: Linear Algebra, Dimensionality Reduction, NumPy, Regression Analysis, Calculus, Applied Mathematics, Data Preprocessing, Unsupervised Learning, Feature Engineering, Machine Learning Algorithms, Jupyter, Advanced Mathematics, Statistics, Artificial Neural Networks, Algorithms, Mathematical Modeling, Python Programming, Derivatives
Beginner · Specialization · 3 - 6 Months

The Hong Kong University of Science and Technology
Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Calculations, Engineering Analysis, Numerical Analysis, Finite Element Methods, Integral Calculus, Mathematical Software, Mechanical Engineering, Calculus, electromagnetics, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Simulation and Simulation Software, Advanced Mathematics, Geometry, Computational Thinking
Beginner · Specialization · 3 - 6 Months

DeepLearning.AI
Skills you'll gain: Descriptive Statistics, Bayesian Statistics, Statistical Hypothesis Testing, Probability & Statistics, Sampling (Statistics), Probability Distribution, Linear Algebra, Statistical Inference, A/B Testing, Statistical Analysis, Applied Mathematics, NumPy, Probability, Calculus, Dimensionality Reduction, Numerical Analysis, Machine Learning Algorithms, Data Preprocessing, Machine Learning, Machine Learning Methods
Intermediate · Specialization · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, Advanced Mathematics, Artificial Intelligence and Machine Learning (AI/ML), Mathematical Modeling, Engineering Analysis, Mathematical Theory & Analysis, Numerical Analysis, Geometry, Data Transformation, Applied Machine Learning, Dimensionality Reduction, Markov Model, Probability
Beginner · Specialization · 3 - 6 Months
University of London
Skills you'll gain: Arithmetic, Applied Mathematics, Computer Science, Computational Thinking, General Mathematics, Mathematical Theory & Analysis, Algebra, Cryptography, Systems Of Measurement
Beginner · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Probability, Statistical Inference, Estimation, Probability & Statistics, Probability Distribution, Statistical Methods, Statistics, Markov Model, Bayesian Statistics, Data Literacy, Statistical Analysis, Sampling (Statistics), Applied Mathematics, Artificial Intelligence, Generative AI, Data Analysis, Data Science, Theoretical Computer Science, Machine Learning Algorithms, Mathematical Theory & Analysis
Build toward a degree
Intermediate · Specialization · 3 - 6 Months
Discrete mathematics is a branch of mathematics that deals with discrete elements that use algebra and arithmetic. It encompasses a variety of topics such as logic, set theory, graph theory, and combinatorics. Discrete mathematics is crucial because it provides the foundational concepts necessary for computer science, cryptography, and algorithm design. Understanding these principles helps in developing efficient algorithms and data structures, which are essential in programming and software development.‎
A background in discrete mathematics can lead to various career opportunities. Positions such as data analyst, software developer, systems analyst, and operations researcher often require knowledge of discrete mathematics. Additionally, roles in academia and research, particularly in fields like computer science and engineering, value this expertise. As technology continues to advance, the demand for professionals skilled in discrete mathematics is likely to grow.‎
To learn discrete mathematics effectively, you should focus on several key skills. These include logical reasoning, problem-solving, and analytical thinking. Familiarity with mathematical proofs and the ability to work with algorithms and data structures are also important. Additionally, programming skills can enhance your understanding of how discrete mathematics applies in real-world scenarios, particularly in computer science.‎
There are several excellent online courses available for studying discrete mathematics. Notable options include the Discrete Mathematics course, which covers essential topics and applications. The Introduction to Discrete Mathematics for Computer Science Specialization is another comprehensive choice, providing a deeper dive into the subject tailored for aspiring computer scientists.‎
Yes. You can start learning discrete mathematics on Coursera for free in two ways:
If you want to keep learning, earn a certificate in discrete mathematics, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎
To learn discrete mathematics, start by identifying your learning goals and preferred study methods. You can enroll in online courses, such as the Discrete Mathematics for Computer Science and Engineering course, which provides structured content. Supplement your learning with textbooks, practice problems, and online forums to discuss concepts with peers. Consistent practice and application of concepts will reinforce your understanding.‎
Typical topics covered in discrete mathematics courses include logic, set theory, functions, relations, combinatorics, graph theory, and algorithms. These subjects form the backbone of many computer science applications, enabling learners to understand complex systems and solve problems effectively. Courses often emphasize both theoretical concepts and practical applications, ensuring a well-rounded understanding.‎
For training and upskilling employees, courses like the Introduction to Discrete Mathematics for Computer Science Specialization are highly beneficial. They provide a comprehensive overview of discrete mathematics tailored for professionals in tech and engineering fields. Such courses can enhance problem-solving skills and analytical thinking, making them valuable for workforce development. ‎