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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

    • U

      University of Colorado System

      Applied Kalman Filtering

      Skills you'll gain: Bayesian Network, Linear Algebra, Numerical Analysis, Mathematical Modeling, Estimation, Matlab, Statistical Modeling, Advanced Mathematics, Simulations, Applied Mathematics, Control Systems, Time Series Analysis and Forecasting, Global Positioning Systems, Simulation and Simulation Software, Probability & Statistics, System Implementation, Systems Of Measurement, Statistical Methods, Differential Equations, Performance Tuning

      4.9
      Rating, 4.9 out of 5 stars
      ·
      20 reviews

      Intermediate · Specialization · 3 - 6 Months

    • J

      Johns Hopkins University

      Data Literacy

      Skills you'll gain: Surveys, Survey Creation, Data Literacy, Data Analysis, Peer Review, Research Design, Statistics, Sampling (Statistics), Regression Analysis, Descriptive Statistics, Research, Probability, Quantitative Research, Statistical Hypothesis Testing, Analytics, Probability Distribution, Analysis, Report Writing, Correlation Analysis, Statistical Inference

      4.6
      Rating, 4.6 out of 5 stars
      ·
      247 reviews

      Beginner · Specialization · 3 - 6 Months

    • 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

      4.6
      Rating, 4.6 out of 5 stars
      ·
      30 reviews

      Advanced · Course · 1 - 4 Weeks

    • P

      Packt

      Python for Finance: Investment Fundamentals & Data Analytics

      Skills you'll gain: Portfolio Management, Capital Budgeting, Financial Modeling, Regression Analysis, Financial Analysis, Investment Management, Risk Analysis, Trend Analysis, Statistical Analysis, Financial Forecasting, Object Oriented Programming (OOP), Python Programming, Simulations, Jupyter, Data Manipulation

      Intermediate · Course · 3 - 6 Months

    • J

      Johns Hopkins University

      Calculus through Data & Modeling: Differentiation Rules

      Skills you'll gain: Calculus, Applied Mathematics, Trigonometry, Advanced Mathematics, Mathematical Modeling, Algebra, Derivatives, Geometry

      4.8
      Rating, 4.8 out of 5 stars
      ·
      97 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      D

      DeepLearning.AI

      How Diffusion Models Work

      Skills you'll gain: Generative AI, Jupyter, PyTorch (Machine Learning Library), Image Analysis, Sampling (Statistics), Artificial Neural Networks, Artificial Intelligence and Machine Learning (AI/ML), Algorithms

      4.6
      Rating, 4.6 out of 5 stars
      ·
      258 reviews

      Intermediate · Project · Less Than 2 Hours

    • Status: Free
      Free
      T

      The University of Melbourne

      Advanced Modeling for Discrete Optimization

      Skills you'll gain: Debugging, Mathematical Modeling, Operations Research, Combinatorics, Algorithms, Geometry, Data Structures

      4.9
      Rating, 4.9 out of 5 stars
      ·
      138 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Activity Design with PhET Simulations for STEM Education

      Skills you'll gain: Simulation and Simulation Software, Mathematics Education, Design Strategies, Chemistry, Physics, Biology

      5
      Rating, 5 out of 5 stars
      ·
      39 reviews

      Intermediate · Course · 1 - 3 Months

    • I

      Imperial College London

      Introduction to Python for Researchers

      Skills you'll gain: Programming Principles, Program Development, Microsoft Visual Studio, Computer Programming, Integrated Development Environments, Python Programming, Debugging, Development Environment

      5
      Rating, 5 out of 5 stars
      ·
      6 reviews

      Beginner · Course · 1 - 4 Weeks

    • U

      University of Colorado Boulder

      Stability and Capability in Quality Improvement

      Skills you'll gain: Process Capability, Statistical Process Controls, Statistical Analysis, Data Analysis Software, R Programming, Quality Control, Statistical Methods, Process Analysis, Data Transformation, Statistical Hypothesis Testing, Process Improvement, Probability Distribution

      Build toward a degree

      4
      Rating, 4 out of 5 stars
      ·
      15 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Pennsylvania

      Statistics for Data Science Essentials

      Skills you'll gain: Probability, Probability & Statistics, Sampling (Statistics), Probability Distribution, Statistics, Data Science, Statistical Inference, Descriptive Statistics, Statistical Analysis, General Mathematics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      7 reviews

      Intermediate · Course · 1 - 4 Weeks

    • R

      Rice University

      Data Analysis for Managerial Decision-Making

      Skills you'll gain: Microsoft Excel, Descriptive Statistics, Business Analytics, Box Plots, Probability Distribution, Data Visualization, Probability, Statistics, Business Mathematics, Spreadsheet Software, Data-Driven Decision-Making, Algebra, Bayesian Statistics, Arithmetic, Statistical Analysis, Quantitative Research, Data Analysis, Regression Analysis, Correlation Analysis

      4.5
      Rating, 4.5 out of 5 stars
      ·
      10 reviews

      Beginner · Course · 1 - 3 Months

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    1…333435…51

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

    • Applied Kalman Filtering: University of Colorado System
    • Data Literacy: Johns Hopkins University
    • Advanced Data Structures, RSA and Quantum Algorithms: University of Colorado Boulder
    • Python for Finance: Investment Fundamentals & Data Analytics: Packt
    • Calculus through Data & Modeling: Differentiation Rules: Johns Hopkins University
    • How Diffusion Models Work: DeepLearning.AI
    • Advanced Modeling for Discrete Optimization: The University of Melbourne
    • Activity Design with PhET Simulations for STEM Education: University of Colorado Boulder
    • Introduction to Python for Researchers: Imperial College London
    • Stability and Capability in Quality Improvement: 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

    Mathematics courses on Coursera provide a comprehensive curriculum designed to strengthen your analytical skills and problem-solving abilities, including:

    • Proficiency in core mathematical principles such as algebra, calculus, and geometry
    • Advanced topics like differential equations and complex variables
    • Application of mathematical theories to real-world problems in engineering, physics, and economics
    • Techniques for logical reasoning and abstract thinking
    • Use of mathematical software tools for computation and visualization‎

    Coursera’s mathematics courses are accessible to learners of all backgrounds:

    • Introductory courses do not require prior experience and start with fundamental concepts.
    • Intermediate courses are suitable for those with basic knowledge in mathematics, expanding into more detailed aspects of the subject.
    • Advanced courses target professionals and students looking to deepen their expertise in specialized mathematical areas.‎

    By participating in Coursera’s mathematics courses, you can earn various credentials that reflect your level of expertise:

    • Course certificates for completing individual modules demonstrating essential mathematical knowledge
    • Professional certificates that signify proficiency in specific mathematical fields such as applied mathematics or statistical analysis
    • Degree courses and specializations that can serve as a substantial academic qualification in mathematics‎

    A strong foundation in mathematics can lead to diverse career opportunities in multiple sectors, including:

    • Actuarial Analyst, utilizing mathematical skills to assess risk in insurance and finance
    • Statistical Researcher, providing insights in healthcare, public policy, and technology
    • Cryptanalyst, securing data and communications with advanced mathematical techniques
    • Quantitative Developer, designing algorithms and models in the finance sector
    • Academic roles in education institutions teaching and developing mathematical curriculum

    These careers utilize deep mathematical knowledge to innovate solutions and drive success across various industries.‎

    Yes, Coursera offers a variety of free courses across many topics, including mathematics. While you can access most course materials for free by auditing the courses, this does not include graded assignments or a completion certificate. For those looking to obtain a certificate to showcase their learning or enhance their professional profile, Coursera provides the option to purchase the course. Additionally, Coursera offers free trials or financial aid to learners who qualify, making certifications more accessible to everyone.‎

    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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