• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Degrees
​
Log In
Join for Free
  • Browse
  • Functional Analysis

Functional Analysis Courses

Functional analysis courses can help you learn about normed spaces, Banach and Hilbert spaces, and linear operators. You can build skills in understanding convergence, continuity, and spectral theory, which are vital for various applications. Many courses introduce tools like MATLAB or Python for numerical analysis and simulations, allowing you to apply theoretical concepts to real-world problems in physics, engineering, and economics.


Popular Functional Analysis Courses and Certifications


  • T

    The University of Sydney

    Introduction to Linear Algebra

    Skills you'll gain: Linear Algebra, Markov Model, Geometry, Arithmetic, Algebra, General Mathematics, Advanced Mathematics, Probability, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Mathematical Modeling, Applied Mathematics, Statistical Methods, Vector Databases, Engineering Analysis, Computational Logic

    4.8
    Rating, 4.8 out of 5 stars
    ·
    38 reviews

    Intermediate · Course · 1 - 4 Weeks

  • T

    The University of Sydney

    Introduction to Advanced Calculus

    Skills you'll gain: Advanced Mathematics, Integral Calculus, Calculus, Mathematical Theory & Analysis, Differential Equations, Applied Mathematics, Engineering Calculations, Mathematical Modeling, Linear Algebra, Physics, Derivatives

    4.6
    Rating, 4.6 out of 5 stars
    ·
    25 reviews

    Intermediate · Course · 1 - 4 Weeks

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Integral Calculus and Numerical Analysis for Data Science

    Skills you'll gain: Integral Calculus, Numerical Analysis, Calculus, Data Science, Mathematical Theory & Analysis, Applied Mathematics, Linear Algebra, Derivatives

    4.6
    Rating, 4.6 out of 5 stars
    ·
    109 reviews

    Intermediate · Course · 1 - 4 Weeks

  • Status: Free Trial
    Free Trial
    I

    Intuit

    Financial Statement Analysis

    Skills you'll gain: Reconciliation, Financial Statements, Financial Statement Analysis, Income Statement, Balance Sheet, Financial Reporting, Financial Analysis, Accounting, Analysis, Business Metrics, General Accounting, Cash Flows, Sales Tax, Accounts Payable, Equities, Payroll

    4.6
    Rating, 4.6 out of 5 stars
    ·
    791 reviews

    Beginner · Course · 1 - 4 Weeks

  • Status: New
    New
    Status: Free Trial
    Free Trial
    R

    Real Madrid Graduate School Universidad Europea

    Must-Know Concepts - Basic requirements for data analysis

    Skills you'll gain: Data Presentation, Matplotlib, Analytics, Probability Distribution, Data Processing, Statistical Methods, Exploratory Data Analysis, Statistical Analysis, Probability, Data Cleansing, Computer Programming Tools, Data Collection, Performance Measurement, Python Programming, Technical Analysis

    Beginner · Course · 1 - 4 Weeks

  • Status: New
    New
    Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Foundations of Probability and Statistics

    Skills you'll gain: Probability, Statistical Inference, Estimation, Probability & Statistics, Probability Distribution, Statistical Methods, Statistics, Markov Model, Bayesian Statistics, Data Literacy, Statistical Analysis, Sampling (Statistics), Applied Mathematics, Artificial Intelligence, Generative AI, Data Analysis, Data Science, Theoretical Computer Science, Machine Learning Algorithms, Mathematical Theory & Analysis

    Build toward a degree

    4.4
    Rating, 4.4 out of 5 stars
    ·
    335 reviews

    Intermediate · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Calculus through Data & Modelling: Vector Calculus

    Skills you'll gain: Integral Calculus, Calculus, Data Integration, Vector Databases, Mathematical Theory & Analysis, Advanced Mathematics, Applied Mathematics, Mathematical Modeling, Spatial Data Analysis, Geometry, Physics

    4.7
    Rating, 4.7 out of 5 stars
    ·
    46 reviews

    Intermediate · Course · 1 - 4 Weeks

  • Status: Preview
    Preview
    Y

    Yonsei University

    Advanced Functional Ceramics

    Skills you'll gain: Materials science, Semiconductors, Thermal Management, Electrical Engineering, Engineering, Manufacturing Processes, Chemical Engineering, Electronic Components, Physics

    4.7
    Rating, 4.7 out of 5 stars
    ·
    159 reviews

    Mixed · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    T

    The Hong Kong University of Science and Technology

    Vector Calculus for Engineers

    Skills you'll gain: Integral Calculus, Engineering Calculations, Calculus, Engineering Analysis, electromagnetics, Engineering, Geometry, Advanced Mathematics, Mechanical Engineering, Applied Mathematics, Mechanics, Electrical Engineering, Physics, Derivatives

    4.8
    Rating, 4.8 out of 5 stars
    ·
    1.4K reviews

    Beginner · Course · 1 - 3 Months

  • Status: Preview
    Preview
    T

    The Hong Kong University of Science and Technology

    Calculus for Engineers

    Skills you'll gain: Calculus, Numerical Analysis, Integral Calculus, Engineering Calculations, Applied Mathematics, Differential Equations, Algebra, Trigonometry, Engineering Analysis, Advanced Mathematics, General Mathematics, Physics, Geometry, Arithmetic, Mathematical Theory & Analysis, Mathematical Modeling, Derivatives, Graphing, Deductive Reasoning

    4.9
    Rating, 4.9 out of 5 stars
    ·
    23 reviews

    Beginner · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    I

    IBM

    Statistical Analysis Fundamentals using Excel

    Skills you'll gain: Data Visualization, Descriptive Statistics, Regression Analysis, Forecasting, Business Analytics, Data Analysis, Statistical Analysis, Statistical Methods, Microsoft Excel, Statistics, Spreadsheet Software, Predictive Analytics, Probability

    4.6
    Rating, 4.6 out of 5 stars
    ·
    137 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    É

    École Polytechnique Fédérale de Lausanne

    Functional Programming Principles in Scala (Scala 2 version)

    Skills you'll gain: Scala Programming, Programming Principles, Data Structures, Functional Design, Object Oriented Programming (OOP), Algorithms, Integrated Development Environments

    4.8
    Rating, 4.8 out of 5 stars
    ·
    65 reviews

    Intermediate · Course · 1 - 3 Months

1234…730

In summary, here are 10 of our most popular functional analysis courses

  • Introduction to Linear Algebra: The University of Sydney
  • Introduction to Advanced Calculus: The University of Sydney
  • Integral Calculus and Numerical Analysis for Data Science: University of Colorado Boulder
  • Financial Statement Analysis: Intuit
  • Must-Know Concepts - Basic requirements for data analysis: Real Madrid Graduate School Universidad Europea
  • Foundations of Probability and Statistics: University of Colorado Boulder
  • Calculus through Data & Modelling: Vector Calculus: Johns Hopkins University
  • Advanced Functional Ceramics: Yonsei University
  • Vector Calculus for Engineers: The Hong Kong University of Science and Technology
  • Calculus for Engineers: The Hong Kong University of Science and Technology

Other topics to explore

Arts and Humanities
338 courses
Business
1095 courses
Computer Science
668 courses
Data Science
425 courses
Information Technology
145 courses
Health
471 courses
Math and Logic
70 courses
Personal Development
137 courses
Physical Science and Engineering
413 courses
Social Sciences
401 courses
Language Learning
150 courses

Coursera Footer

Skills

  • Artificial Intelligence (AI)
  • Cybersecurity
  • Data Analytics
  • Digital Marketing
  • English Speaking
  • Generative AI (GenAI)
  • Microsoft Excel
  • Microsoft Power BI
  • Project Management
  • Python

Certificates & Programs

  • Google Cybersecurity Certificate
  • Google Data Analytics Certificate
  • Google IT Support Certificate
  • Google Project Management Certificate
  • Google UX Design Certificate
  • IBM Data Analyst Certificate
  • IBM Data Science Certificate
  • Machine Learning Certificate
  • Microsoft Power BI Data Analyst Certificate
  • UI / UX Design Certificate

Industries & Careers

  • Business
  • Computer Science
  • Data Science
  • Education & Teaching
  • Engineering
  • Finance
  • Healthcare
  • Human Resources (HR)
  • Information Technology (IT)
  • Marketing

Career Resources

  • Career Aptitude Test
  • Examples of Strengths and Weaknesses for Job Interviews
  • High-Income Skills to Learn
  • How Does Cryptocurrency Work?
  • How to Highlight Duplicates in Google Sheets
  • How to Learn Artificial Intelligence
  • Popular Cybersecurity Certifications
  • Preparing for the PMP Certification
  • Signs You Will Get the Job After an Interview
  • What Is Artificial Intelligence?

Coursera

  • About
  • What We Offer
  • Leadership
  • Careers
  • Catalog
  • Coursera Plus
  • Professional Certificates
  • MasterTrack® Certificates
  • Degrees
  • For Enterprise
  • For Government
  • For Campus
  • Become a Partner
  • Social Impact
  • Free Courses
  • Share your Coursera learning story

Community

  • Learners
  • Partners
  • Beta Testers
  • Blog
  • The Coursera Podcast
  • Tech Blog

More

  • Press
  • Investors
  • Terms
  • Privacy
  • Help
  • Accessibility
  • Contact
  • Articles
  • Directory
  • Affiliates
  • Modern Slavery Statement
  • Do Not Sell/Share
Learn Anywhere
Download on the App Store
Get it on Google Play
Logo of Certified B Corporation
© 2026 Coursera Inc. All rights reserved.
  • Coursera Facebook
  • Coursera Linkedin
  • Coursera Twitter
  • Coursera YouTube
  • Coursera Instagram
  • Coursera TikTok