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    Mathematics Courses

    Mathematics courses can help you learn how to think analytically, solve problems logically, and apply quantitative reasoning across academic and professional fields.

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    Find the Best Mathematics Course for Your Goals

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Semiconductor Devices

      Skills you'll gain: Semiconductors, Electrical Engineering, Electronic Components, Power Electronics, Electronic Systems, Electronics, Physics, Electronics Engineering, Differential Equations, Applied Mathematics

      Build toward a degree

      4.4
      Rating, 4.4 out of 5 stars
      ·
      601 reviews

      Advanced · Specialization · 1 - 3 Months

    • 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, Advanced Mathematics, Linear Algebra, Engineering Design Process, Engineering Calculations, Applied Mathematics, Physics, Calculus

      5
      Rating, 5 out of 5 stars
      ·
      7 reviews

      Advanced · Specialization · 1 - 3 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, Statistical Modeling, Bayesian Statistics, Markov Model, Decision Support Systems, Machine Learning, Probability & Statistics, Network Analysis, 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, Mechanics, Mathematical Software, Engineering Analysis, Numerical Analysis, Engineering Calculations, Statistical Methods, Differential Equations, Physics, Probability Distribution, Mathematical Modeling, Semiconductors, Applied Mathematics, Simulation and Simulation Software, Simulations, Physical Science, Estimation

      4.5
      Rating, 4.5 out of 5 stars
      ·
      1K reviews

      Advanced · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Spacecraft Dynamics and Control

      Skills you'll gain: Control Systems, Mechanics, Torque (Physics), Vibrations, Linear Algebra, Numerical Analysis, Engineering Calculations, Simulations, Engineering Analysis, Differential Equations, Physics, Mathematical Modeling, Visualization (Computer Graphics), Simulation and Simulation Software, Applied Mathematics, Engineering, Verification And Validation, Advanced Mathematics, Estimation, Matlab

      4.8
      Rating, 4.8 out of 5 stars
      ·
      427 reviews

      Advanced · Specialization · 3 - 6 Months

    • S

      Stanford University

      Game Theory II: Advanced Applications

      Skills you'll gain: Game Theory, Bidding, Social Sciences, Resource Allocation, Political Sciences, Economics, Behavioral Economics, Negotiation, Mathematical Theory & Analysis, Probability & Statistics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      642 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      First Order Optical System Design

      Skills you'll gain: Engineering, Scientific, and Technical Instruments, Equipment Design, Engineering Calculations, Electrical Engineering, Computer-Aided Design, Engineering Design Process, Engineering Analysis, Performance Tuning, Simulation and Simulation Software, z/OS, Applied Mathematics, Medical Imaging, Linear Algebra, Physics

      4.3
      Rating, 4.3 out of 5 stars
      ·
      330 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Semiconductor Physics

      Skills you'll gain: Semiconductors, Electrical Engineering, Electronic Components, Physics, Electronics, Differential Equations, Applied Mathematics

      4.4
      Rating, 4.4 out of 5 stars
      ·
      291 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Dynamic Programming, Greedy Algorithms

      Skills you'll gain: Theoretical Computer Science, Algorithms, Computational Thinking, Data Structures, Design Strategies, Programming Principles, Computer Science, Advanced Mathematics, Linear Algebra, Analysis

      4.6
      Rating, 4.6 out of 5 stars
      ·
      221 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Approximation Algorithms and Linear Programming

      Skills you'll gain: Operations Research, Algorithms, Applied Mathematics, Graph Theory, Network Model, Linear Algebra, Combinatorics, Computational Thinking, Mathematical Modeling, Theoretical Computer Science, Python Programming, Network Analysis

      Build toward a degree

      4.9
      Rating, 4.9 out of 5 stars
      ·
      44 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Optical Efficiency and Resolution

      Skills you'll gain: Electrical Engineering, Simulation and Simulation Software, System Design and Implementation, Image Analysis, Medical Imaging, Engineering Analysis, Applied Mathematics, Physics

      4.2
      Rating, 4.2 out of 5 stars
      ·
      62 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Design of High-Performance Optical Systems

      Skills you'll gain: Display Devices, Electrical Engineering, Systems Design, Computer Displays, System Requirements, Engineering Calculations, Technical Design, Image Analysis, Design Software, Simulation and Simulation Software, Mathematical Modeling, Applied Mathematics, Engineering Design Process

      4.6
      Rating, 4.6 out of 5 stars
      ·
      49 reviews

      Advanced · Course · 1 - 3 Months

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    1234

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

    • Semiconductor Devices: University of Colorado Boulder
    • Spacecraft Formation Relative Orbits: University of Colorado Boulder
    • Probabilistic Graphical Models: Stanford University
    • Statistical Thermodynamics: University of Colorado Boulder
    • Spacecraft Dynamics and Control: University of Colorado Boulder
    • Game Theory II: Advanced Applications: Stanford University
    • First Order Optical System Design: University of Colorado Boulder
    • Semiconductor Physics: University of Colorado Boulder
    • Dynamic Programming, Greedy Algorithms: University of Colorado Boulder
    • Approximation Algorithms and Linear Programming : University of Colorado Boulder

    Why Learn Mathematics?

    Mathematics is the language of patterns, structures, and logical thinking—used to model real-world systems and solve complex problems. It underpins disciplines like science, engineering, finance, and data analytics. Learning mathematics can strengthen your problem-solving skills, support academic success, and open doors to a wide range of careers.

    Frequently Asked Questions about Mathematics

    Top courses include Introduction to Mathematical Thinking from Stanford University, Mathematics for Machine Learning and Data Science from DeepLearning.AI, and Introduction to Discrete Mathematics for Computer Science from UC San Diego. These programs cover topics from basic algebra to calculus, linear algebra, and applications in data science.‎

    Yes. Many mathematics courses offer a free audit option, allowing learners to access video lessons and reading materials at no cost. To complete assignments or earn a certificate, you’ll need to upgrade or apply for financial aid.‎

    You’ll learn core topics like algebra, calculus, probability, and discrete mathematics. Some courses also cover applied topics like statistics, mathematical modeling, and math for engineering or computer science.‎

    Not at all. Many Coursera courses are beginner-friendly and start with foundational concepts, making them great for learners who want to build skills step by step. Advanced learners can find specialized courses on topics like differential equations, linear algebra, or mathematical proofs.‎

    Yes. Mathematics is essential in many fields, including engineering, economics, data science, and computer programming. Coursera courses can help you build skills that support academic success, strengthen job readiness, and open doors to careers in STEM and analytical 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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