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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

      Advanced Data Structures, RSA and Quantum Algorithms

      Skills you'll gain: Public Key Cryptography Standards (PKCS), Cryptography, Data Structures, Data Encryption Standard, Algorithms, Encryption, Theoretical Computer Science, Computer Science, Programming Principles, Computational Thinking, IBM Cloud, Linear Algebra, Mathematical Theory & Analysis, Arithmetic

      4.5
      Rating, 4.5 out of 5 stars
      ·
      32 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Semiconductor Physics

      Skills you'll gain: Semiconductors, Electrical Engineering, Electronic Systems, Electronic Components, Physics, 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

      Design of High-Performance Optical Systems

      Skills you'll gain: Engineering, Scientific, and Technical Instruments, Image Analysis, Laboratory Equipment, Systems Design, Human Factors, Engineering Calculations, Technical Design, Simulation and Simulation Software, Engineering Design Process, Mathematical Modeling, Applied Mathematics

      4.6
      Rating, 4.6 out of 5 stars
      ·
      49 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Electrodynamics: In-depth Solutions for Maxwell’s Equations

      Skills you'll gain: Basic Electrical Systems, Electrical Engineering, Electrical Systems, Differential Equations, Electronic Components, Advanced Mathematics, Integral Calculus, Electronics, Applied Mathematics, Physics, Mathematical Modeling, Engineering Analysis, Linear Algebra

      4.8
      Rating, 4.8 out of 5 stars
      ·
      115 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Analytical Mechanics for Spacecraft Dynamics

      Skills you'll gain: Engineering Analysis, Vibrations, Mechanics, Finite Element Methods, Differential Equations, Applied Mathematics, Mathematical Modeling, Linear Algebra, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      10 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Electrodynamics: Analysis of Electric Fields

      Skills you'll gain: Electrical Engineering, Electronic Components, Basic Electrical Systems, Engineering Analysis, Applied Mathematics, Scientific Visualization, Engineering Calculations, Differential Equations, Advanced Mathematics, Physics, Mathematical Modeling, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      167 reviews

      Advanced · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Kinematics: Describing the Motions of Spacecraft

      Skills you'll gain: Mechanics, Linear Algebra, Numerical Analysis, Engineering Calculations, Engineering Analysis, Differential Equations, Physics, Mathematical Modeling, Applied Mathematics, Verification And Validation, Advanced Mathematics, Estimation

      4.9
      Rating, 4.9 out of 5 stars
      ·
      332 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Control of Nonlinear Spacecraft Attitude Motion

      Skills you'll gain: Control Systems, Vibrations, Torque (Physics), Mathematical Modeling, Differential Equations, Simulation and Simulation Software, Applied Mathematics, Engineering Analysis, Mechanics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      68 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Spacecraft Relative Motion Kinematics and Kinetics

      Skills you'll gain: Mechanics, Differential Equations, Mathematical Modeling, Advanced Mathematics, Linear Algebra, Engineering Calculations, Simulations, Applied Mathematics, Physics, Calculus

      5
      Rating, 5 out of 5 stars
      ·
      7 reviews

      Advanced · Course · 1 - 4 Weeks

    • 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

      Spacecraft Formation Flying and Control Capstone Project

      Skills you'll gain: Vibrations, Control Systems, Systems Engineering, Mathematical Modeling, Simulation and Simulation Software, Engineering Analysis, Engineering Calculations, Engineering Design Process

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Electrodynamics: Electric and Magnetic Fields

      Skills you'll gain: Electrical Engineering, Physics, Electrical Systems, Applied Mathematics, Electronic Systems, Mechanics, Energy and Utilities, Engineering Analysis, Differential Equations, Mathematical Modeling, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      230 reviews

      Advanced · Course · 1 - 3 Months

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

    • Advanced Data Structures, RSA and Quantum Algorithms: University of Colorado Boulder
    • Semiconductor Physics: University of Colorado Boulder
    • Design of High-Performance Optical Systems: University of Colorado Boulder
    • Electrodynamics: In-depth Solutions for Maxwell’s Equations: Korea Advanced Institute of Science and Technology(KAIST)
    • Analytical Mechanics for Spacecraft Dynamics: University of Colorado Boulder
    • Electrodynamics: Analysis of Electric Fields: Korea Advanced Institute of Science and Technology(KAIST)
    • Kinematics: Describing the Motions of Spacecraft: University of Colorado Boulder
    • Control of Nonlinear Spacecraft Attitude Motion: University of Colorado Boulder
    • Spacecraft Relative Motion Kinematics and Kinetics: University of Colorado Boulder
    • First Order Optical System Design: 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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