Mathematics courses can help you learn algebra, calculus, statistics, and discrete mathematics. You can build skills in problem-solving, logical reasoning, and data analysis, that support interpreting complex information. Many courses introduce tools like graphing calculators, statistical software, and programming languages such as Python, showing how these skills apply in fields like finance, engineering, and data science.

Johns Hopkins University
Skills you'll gain: Statistical Hypothesis Testing, Sampling (Statistics), Regression Analysis, Bayesian Statistics, Statistical Analysis, Probability & Statistics, Statistical Inference, Statistical Methods, Statistical Modeling, Linear Algebra, Probability, Probability Distribution, R Programming, Biostatistics, Data Analysis, Data Science, Statistics, Mathematical Modeling, Data Modeling, Applied Mathematics
★ 4.4 (800) · Advanced · Specialization · 3 - 6 Months

Princeton University
Skills you'll gain: Combinatorics, Algorithms, Theoretical Computer Science, Mathematical Theory & Analysis, Data Structures, Advanced Mathematics, Mathematical Modeling, Probability, Applied Mathematics, Calculus
★ 4.4 (1.1K) · Advanced · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Quantum computing, Public Key Cryptography Standards (PKCS), Cryptography, Data Structures, Cryptographic Protocols, Algorithms, Encryption, Theoretical Computer Science, Computer Science, Programming Principles, Mathematical Software, Advanced Mathematics
★ 4.6 (69) · Advanced · Course · 1 - 4 Weeks
Stanford Online
Skills you'll gain: Bayesian Network, Applied Machine Learning, Decision Intelligence, Bayesian Statistics, Graph Theory, Machine Learning Algorithms, Probability Distribution, Network Model, Statistical Modeling, Machine Learning Methods, Markov Model, Machine Learning, Unsupervised Learning, Probability & Statistics, Network Analysis, Statistical Inference, Model Training, Statistical Machine Learning, Model Optimization, Sampling (Statistics)
★ 4.6 (1.6K) · Advanced · Specialization · 3 - 6 Months

University of Amsterdam
Skills you'll gain: Computational Logic, Logical Reasoning, Deductive Reasoning, General Mathematics, Theoretical Computer Science
★ 4.4 (300) · Advanced · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Control Systems, Simulation and Simulation Software, Mechanics, Numerical Analysis, Differential Equations, Mathematical Modeling, Engineering Analysis, Simulations, Engineering Calculations, Advanced Mathematics, Linear Algebra, Engineering Design Process, Torque (Physics), Trigonometry, Program Development, Applied Mathematics, Physics, Calculus, Mathematical Theory & Analysis
★ 4.6 (12) · Advanced · Specialization · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Graph Theory, Data Structures, Algorithms, Tree Maps, Theoretical Computer Science, Analysis, Python Programming
★ 4.6 (192) · Advanced · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Theoretical Computer Science, Algorithms, Computational Thinking, Data Structures, Design Strategies, Quantum computing, Applied Mathematics, Python Programming, Analysis
★ 4.7 (277) · Advanced · Course · 1 - 4 Weeks

École Polytechnique Fédérale de Lausanne
Skills you'll gain: Portfolio Risk, Derivatives, Financial Market, Risk Modeling, Securities (Finance), Futures Exchange, Risk Management, Investments, Financial Modeling, Market Data, Portfolio Management, Mathematical Modeling, Finance, Probability, Statistical Modeling, Estimation, Applied Mathematics
★ 4.5 (198) · Advanced · Course · 1 - 3 Months
Stanford Online
Skills you'll gain: Game Theory, Bidding, Social Sciences, Resource Allocation, Economics, Social Impact, Behavioral Economics, Decision Making, Mathematical Theory & Analysis
★ 4.7 (652) · Advanced · Course · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Regression Analysis, Linear Algebra, R Programming, Data Science, Probability Distribution, Statistical Modeling, Statistical Methods, Probability & Statistics, Applied Mathematics, Statistical Analysis, Statistics, Statistical Inference, Probability, Model Evaluation, Integral Calculus
★ 4.6 (108) · Advanced · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: File I/O, C and C++, Data Import/Export, C++ (Programming Language), Communication Systems, C (Programming Language)
★ 4.6 (14) · Advanced · Course · 1 - 3 Months
High-quality free Mathematics courses you can start today.
Top-rated Mathematics courses offered by University of Colorado Boulder on Coursera.
Earn a certificate in Mathematics from top universities and companies.
Mathematics is the study of numbers, shapes, patterns, and relationships. It serves as a foundational tool for understanding the world around us and is crucial in various fields, including science, engineering, economics, and technology. The importance of mathematics lies in its ability to provide logical reasoning and problem-solving skills, which are essential for making informed decisions and innovations.‎
A background in mathematics opens doors to a variety of career paths. Potential job roles include data analyst, statistician, actuary, financial analyst, and operations researcher. Additionally, mathematics is integral in fields such as engineering, computer science, and academia, where analytical skills are highly valued.‎
To succeed in mathematics, you should develop a strong foundation in basic arithmetic, algebra, geometry, and calculus. Critical thinking and problem-solving skills are also essential. Familiarity with mathematical software and programming languages can enhance your capabilities, especially in data analysis and engineering contexts.‎
Some of the best online mathematics courses include the Mathematics for Engineering Specialization and the Mathematics for Machine Learning and Data Science Specialization. These courses cover essential concepts and applications, making them suitable for various learners.‎
es. You can start learning mathematics on Coursera for free in two ways:
If you want to keep learning, earn a certificate in mathematics, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎
Mathematics courses typically cover a range of topics, including algebra, calculus, statistics, linear algebra, and discrete mathematics. Advanced courses may explore specialized areas such as mathematical modeling, optimization, and numerical methods.‎
For training and upskilling employees, courses like the Mathematics for Engineers Specialization and the Foundational Mathematics for AI are excellent choices. These programs equip learners with the mathematical skills necessary for engineering and data science roles.‎