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Mathematics Courses

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.


Popular Mathematics Courses and Certifications


  • Status: Preview
    Preview
    U

    University of Amsterdam

    Logic for Economists

    Skills you'll gain: Computational Logic, Logical Reasoning, Deductive Reasoning, General Mathematics

    4.4
    Rating, 4.4 out of 5 stars
    ·
    298 reviews

    Advanced · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Advanced Statistics for Data Science

    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 Science, Statistics, Mathematical Modeling, Data Analysis, Data Modeling, Applied Mathematics

    4.4
    Rating, 4.4 out of 5 stars
    ·
    783 reviews

    Advanced · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Optical Engineering

    Skills you'll gain: Electrical Engineering, electromagnetics, Performance Tuning, Image Quality, Engineering, Scientific, and Technical Instruments, Simulation and Simulation Software, Engineering Calculations, Design Software, Image Analysis, Engineering Analysis, Computer-Aided Design, Engineering Design Process, Numerical Analysis, Electronic Components, System Design and Implementation, Systems Design, Human Factors, Applied Mathematics, Physics, System Configuration

    Build toward a degree

    4.3
    Rating, 4.3 out of 5 stars
    ·
    375 reviews

    Advanced · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    S

    Stanford University

    Probabilistic Graphical Models

    Skills you'll gain: Bayesian Network, Applied Machine Learning, Graph Theory, Machine Learning Algorithms, Probability Distribution, Network Model, Statistical Modeling, Markov Model, Decision Support Systems, Machine Learning, Probability & Statistics, Network Analysis, Machine Learning Methods, Statistical Inference, Sampling (Statistics), Statistical Methods, Natural Language Processing, Algorithms, Computational Thinking

    4.6
    Rating, 4.6 out of 5 stars
    ·
    1.5K reviews

    Advanced · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Statistical Thermodynamics

    Skills you'll gain: Chemical Engineering, Quantitative Research, Chemistry, Thermal Management, Mechanical Engineering, Engineering Calculations, Process Engineering, Numerical Analysis, Engineering Analysis, Statistical Methods, Differential Equations, Physics, Engineering, Simulation and Simulation Software, Probability Distribution, Mathematical Modeling, Applied Mathematics, Materials science, Open Source Technology, Simulations

    4.5
    Rating, 4.5 out of 5 stars
    ·
    1.1K reviews

    Advanced · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Semiconductor Devices

    Skills you'll gain: Semiconductors, Electrical Engineering, Electronic Systems, Electronic Components, Materials science, Electronic Hardware, Electronics, Electrical and Computer Engineering, Physics, Electronics Engineering, Applied Mathematics, Mathematical Modeling

    Build toward a degree

    4.4
    Rating, 4.4 out of 5 stars
    ·
    612 reviews

    Advanced · Specialization · 1 - 3 Months

What brings you to Coursera today?

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Spacecraft Formation Relative Orbits

    Skills you'll gain: Control Systems, Vibrations, Systems Engineering, Mechanics, Numerical Analysis, Differential Equations, Mathematical Modeling, Simulation and Simulation Software, Engineering Analysis, Simulations, Safety Assurance, Geometry, Linear Algebra, Torque (Physics), Applied Mathematics, Physics, Calculus, Mathematical Theory & Analysis

    5
    Rating, 5 out of 5 stars
    ·
    9 reviews

    Advanced · Specialization · 1 - 3 Months

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  • 2

    28DIGITAL

    I/O-efficient algorithms

    Skills you'll gain: File I/O, Data Structures, Theoretical Computer Science, Data Storage Technologies, Algorithms, Graph Theory, Data Access, Performance Tuning

    4.6
    Rating, 4.6 out of 5 stars
    ·
    60 reviews

    Advanced · Course · 1 - 3 Months

  • Status: Free
    Free
    P

    Princeton University

    Analysis of Algorithms

    Skills you'll gain: Combinatorics, Algorithms, Theoretical Computer Science, Mathematical Theory & Analysis, Graph Theory, Data Structures, Advanced Mathematics, Mathematical Modeling, Probability

    4.4
    Rating, 4.4 out of 5 stars
    ·
    1K reviews

    Advanced · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    S

    Stanford University

    Probabilistic Graphical Models 2: Inference

    Skills you'll gain: Bayesian Network, Machine Learning Methods, Statistical Inference, Markov Model, Graph Theory, Sampling (Statistics), Applied Machine Learning, Statistical Methods, Probability & Statistics, Algorithms, Probability Distribution, Machine Learning Algorithms, Computational Thinking

    4.6
    Rating, 4.6 out of 5 stars
    ·
    488 reviews

    Advanced · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    N

    National Taiwan University

    Operations Research (3): Theory

    Skills you'll gain: Operations Research, Network Model, Applied Machine Learning, Case Studies, Applied Mathematics, Mathematical Modeling, Transportation Operations, Business Analytics, Advanced Mathematics, Linear Algebra, Algorithms

    4.9
    Rating, 4.9 out of 5 stars
    ·
    95 reviews

    Advanced · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Spacecraft Relative Motion Control

    Skills you'll gain: Control Systems, Numerical Analysis, Simulations, Engineering Analysis, Mathematical Modeling, Linear Algebra, Differential Equations, Applied Mathematics, Mathematical Theory & Analysis

    Advanced · Course · 1 - 4 Weeks

What brings you to Coursera today?

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In summary, here are 10 of our most popular mathematics courses

  • Logic for Economists: University of Amsterdam
  • Advanced Statistics for Data Science: Johns Hopkins University
  • Optical Engineering: University of Colorado Boulder
  • Probabilistic Graphical Models: Stanford University
  • Statistical Thermodynamics: University of Colorado Boulder
  • Semiconductor Devices: University of Colorado Boulder
  • Spacecraft Formation Relative Orbits: University of Colorado Boulder
  • I/O-efficient algorithms: 28DIGITAL
  • Analysis of Algorithms: Princeton University
  • Probabilistic Graphical Models 2: Inference: Stanford University

Frequently Asked Questions about Mathematics

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:

  1. Preview the first module of many mathematics courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

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.‎

This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

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