• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
  • Online Degrees
  • Careers
  • Log In
  • Join for Free
    Coursera
    • Browse
    • Numerical Analysis

    Numerical Analysis Courses Online

    Master numerical analysis for solving mathematical problems computationally. Learn about algorithms for approximation, integration, and differential equations.

    Skip to search results

    Filter by

    Subject
    Required
     *

    Language
    Required
     *

    The language used throughout the course, in both instruction and assessments.

    Learning Product
    Required
     *

    Build job-relevant skills in under 2 hours with hands-on tutorials.
    Learn from top instructors with graded assignments, videos, and discussion forums.
    Learn a new tool or skill in an interactive, hands-on environment.
    Get in-depth knowledge of a subject by completing a series of courses and projects.
    Earn career credentials from industry leaders that demonstrate your expertise.
    Earn career credentials while taking courses that count towards your Master’s degree.
    Earn your Bachelor’s or Master’s degree online for a fraction of the cost of in-person learning.
    Complete graduate-level learning without committing to a full degree program.
    Earn a university-issued career credential in a flexible, interactive format.
    Graduate level learning within reach.

    Level
    Required
     *

    Duration
    Required
     *

    Skills
    Required
     *

    Subtitles
    Required
     *

    Educator
    Required
     *

    Explore the Numerical Analysis Course Catalog

    • Status: Free Trial
      Free Trial
      U

      University of Minnesota

      Software Development Lifecycle

      Skills you'll gain: User Story, Agile Software Development, Software Design Patterns, Design Thinking, Software Development Methodologies, Software Design, Agile Methodology, Agile Project Management, Engineering Software, Process Mapping, Software Engineering, Kanban Principles, Software Development Life Cycle, Software Quality Assurance, Program Development, Application Security, Scrum (Software Development), Requirements Analysis, Lean Methodologies, Lean Manufacturing

      4.7
      Rating, 4.7 out of 5 stars
      ·
      9.7K reviews

      Intermediate · Specialization · 3 - 6 Months

    • C

      Coursera Instructor Network

      Root Cause Analysis: Principles and Benefits

      Skills you'll gain: Root Cause Analysis, Operational Efficiency, Corrective and Preventive Action (CAPA), Continuous Improvement Process, Product Quality (QA/QC), Process Improvement, Operational Excellence, Proactivity, Complex Problem Solving

      4.5
      Rating, 4.5 out of 5 stars
      ·
      70 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Illinois Urbana-Champaign

      Financial Management

      Skills you'll gain: Mergers & Acquisitions, Working Capital, Revenue Recognition, Financial Statements, Credit Risk, Accrual Accounting, Financial Analysis, Investments, Corporate Finance, Business Valuation, Cash Flows, Financial Accounting, Financial Statement Analysis, Bookkeeping, Financial Management, Income Statement, Business Ethics, Finance, Return On Investment, Portfolio Management

      Build toward a degree

      4.7
      Rating, 4.7 out of 5 stars
      ·
      6.8K reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      G

      Google

      Análisis de Datos de Google

      Skills you'll gain: Data Storytelling, Presentations, Rmarkdown, Data Presentation, Data Cleansing, Data Visualization, Data Literacy, Ggplot2, Data Validation, Spreadsheet Software, Data Visualization Software, Data Ethics, Data Analysis, Data-Driven Decision-Making, Tableau Software, Data Processing, Dashboard, Business Analysis, Stakeholder Communications, Databases

      4.8
      Rating, 4.8 out of 5 stars
      ·
      12K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      D

      Duke University

      Introduction to Logic and Critical Thinking

      Skills you'll gain: Deductive Reasoning, Logical Reasoning, Computational Logic, Probability, Sampling (Statistics), Persuasive Communication, Research, Writing, Statistics, Scientific Methods, Oral Expression, Correlation Analysis, Interpersonal Communications, Interactive Learning, Learning Strategies, Instructional Strategies

      4.6
      Rating, 4.6 out of 5 stars
      ·
      3.5K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of Michigan

      Capstone: Retrieving, Processing, and Visualizing Data with Python

      Skills you'll gain: Data Processing, Data Collection, Data Visualization Software, Data Manipulation, Python Programming, Exploratory Data Analysis, Algorithms, Data Analysis, Web Scraping, Unstructured Data

      4.7
      Rating, 4.7 out of 5 stars
      ·
      14K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      G

      Google Cloud

      Google Cloud Digital Leader Training

      Skills you'll gain: Cloud Management, Serverless Computing, Google Cloud Platform, Digital Transformation, Data Governance, Cloud Services, Distributed Denial-Of-Service (DDoS) Attacks, Cloud Security, Cloud Infrastructure, Application Programming Interface (API), Real Time Data, Tensorflow, Data Management, Hybrid Cloud Computing, Data Warehousing, Artificial Intelligence, Infrastructure As A Service (IaaS), Cloud Computing, Big Data, Data Security

      4.8
      Rating, 4.8 out of 5 stars
      ·
      4.6K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      D

      Duke University

      Programming Foundations with JavaScript, HTML and CSS

      Skills you'll gain: Hypertext Markup Language (HTML), HTML and CSS, Cascading Style Sheets (CSS), Web Development, Programming Principles, Javascript, Web Design, Computer Programming, Image Analysis, Computational Thinking, Algorithms, Debugging

      4.6
      Rating, 4.6 out of 5 stars
      ·
      15K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of California San Diego

      Object Oriented Java Programming: Data Structures and Beyond

      Skills you'll gain: Unit Testing, Growth Mindedness, Data Structures, Graph Theory, Event-Driven Programming, Interactive Data Visualization, Java, Network Analysis, Object Oriented Programming (OOP), Technical Communication, Development Testing, User Interface (UI), Java Programming, Software Testing, Computer Programming, Adaptability, Object Oriented Design, Performance Tuning, Algorithms, Software Design

      4.7
      Rating, 4.7 out of 5 stars
      ·
      7.2K reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      Status: AI skills
      AI skills
      M

      Microsoft

      Microsoft Cybersecurity Analyst

      Skills you'll gain: Threat Modeling, MITRE ATT&CK Framework, Penetration Testing, Azure Active Directory, Network Security, Computer Systems, Security Information and Event Management (SIEM), Security Testing, Encryption, Cybersecurity, System Testing, Cloud Security, Threat Management, Vulnerability Scanning, Cloud Computing, Business Software, Cyber Attacks, Authentications, Active Directory, Data Management

      4.7
      Rating, 4.7 out of 5 stars
      ·
      2.6K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • D

      DeepLearning.AI

      Machine Learning in Production

      Skills you'll gain: MLOps (Machine Learning Operations), Application Deployment, Continuous Deployment, Software Development Life Cycle, Artificial Intelligence and Machine Learning (AI/ML), Machine Learning, Applied Machine Learning, Data Validation, Feature Engineering, Data Quality, Debugging, Continuous Monitoring, Data Pipelines

      4.8
      Rating, 4.8 out of 5 stars
      ·
      3.3K reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      G

      Google

      Sound the Alarm: Detection and Response

      Skills you'll gain: Incident Response, Computer Security Incident Management, Intrusion Detection and Prevention, Event Monitoring, Threat Detection, Incident Management, Security Information and Event Management (SIEM), Cybersecurity, Cyber Threat Hunting, Continuous Monitoring, Network Security, Network Monitoring, Document Management, Network Analysis, Splunk, Technical Documentation, TCP/IP, Network Protocols

      4.8
      Rating, 4.8 out of 5 stars
      ·
      3K reviews

      Beginner · Course · 1 - 4 Weeks

    Numerical Analysis learners also search

    Statistical Analysis
    Predictive Modeling
    Statistical Modeling
    Predictive Analytics
    Data Modeling
    Beginner Predictive Analytics
    Predictive Analytics Projects
    Regression Analysis
    1…232425…537

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

    • Software Development Lifecycle: University of Minnesota
    • Root Cause Analysis: Principles and Benefits: Coursera Instructor Network
    • Financial Management: University of Illinois Urbana-Champaign
    • Análisis de Datos de Google: Google
    • Introduction to Logic and Critical Thinking: Duke University
    • Capstone: Retrieving, Processing, and Visualizing Data with Python: University of Michigan
    • Google Cloud Digital Leader Training: Google Cloud
    • Programming Foundations with JavaScript, HTML and CSS: Duke University
    • Object Oriented Java Programming: Data Structures and Beyond: University of California San Diego
    • Microsoft Cybersecurity Analyst: Microsoft

    Skills you can learn in Algorithms

    Graphs (22)
    Mathematical Optimization (21)
    Computer Program (20)
    Data Structure (19)
    Problem Solving (19)
    Algebra (12)
    Computer Vision (10)
    Discrete Mathematics (10)
    Graph Theory (10)
    Image Processing (10)
    Linear Algebra (10)
    Reinforcement Learning (10)

    Frequently Asked Questions about Numerical Analysis

    Numerical analysis is a branch of mathematics that focuses on developing algorithms and methods to solve mathematical problems using numerical approximations. It involves studying the accuracy, stability, and efficiency of numerical techniques for solving problems that may be too complex or time-consuming to solve analytically. Numerical analysis plays a crucial role in various fields such as engineering, physics, computer science, and finance, where accurate and efficient numerical solutions are essential.‎

    To become proficient in Numerical Analysis, you need to learn the following skills:

    1. Mathematics: A strong foundation in mathematical concepts such as calculus, linear algebra, and differential equations is crucial for understanding the underlying principles of numerical analysis.

    2. Programming: Proficiency in programming languages like Python, MATLAB, or R is essential for implementing numerical algorithms and solving complex problems. You should also be comfortable with data structures, loops, conditionals, and functions.

    3. Statistics: Understanding statistical concepts will help you analyze and interpret numerical data accurately. Concepts like probability theory, hypothesis testing, and regression analysis will be useful for various numerical analysis techniques.

    4. Numerical Methods: Familiarity with various numerical algorithms, such as root-finding methods, interpolation, numerical integration, and solving linear systems, is essential. You should also know how to apply these methods effectively to solve real-world problems.

    5. Optimization: Knowledge of optimization techniques, including linear and nonlinear programming, gradient descent, and constrained optimization, will enable you to optimize functions and find optimal solutions in numerical analysis scenarios.

    6. Data Visualization: Being able to visually represent numerical data through graphs, charts, and plots is essential for gaining insights and effectively communicating results. Familiarize yourself with data visualization tools and techniques, such as matplotlib or ggplot.

    7. Problem-Solving and Critical Thinking: Numerical analysis often involves encountering complex problems that require analytical thinking and problem-solving skills. Develop your ability to think critically, break down problems into smaller components, and approach them methodically.

    Remember that learning Numerical Analysis is a continuous process, and keeping up with the latest advancements in the field is important. Utilize online courses, books, interactive tutorials, and practice problems to enhance your skills and stay up-to-date with the evolving techniques in this domain.‎

    With Numerical Analysis skills, you can pursue a variety of job opportunities in both academic and professional fields. Some of the possible career paths include:

    1. Data Analyst: Employers across various industries require professionals who can analyze and interpret complex numerical data to drive informed business decisions.

    2. Quantitative Analyst: Banks, investment firms, and hedge funds often hire individuals proficient in Numerical Analysis to develop quantitative models and strategies for financial forecasting and risk management.

    3. Statistician: Statisticians utilize Numerical Analysis techniques to design experiments, collect and analyze data, and make predictions and recommendations in areas such as healthcare, marketing, social sciences, and more.

    4. Actuary: Actuaries use mathematical models, including Numerical Analysis, to evaluate and manage financial risks for insurance companies, ensuring they set accurate premiums and reserves.

    5. Research Scientist: Government agencies, research institutions, and private companies employ research scientists with Numerical Analysis skills to conduct mathematical and statistical research for various fields, like physics, biology, engineering, and more.

    6. Software Developer: Numerical Analysis expertise is beneficial for software developers working on projects involving simulations, algorithms, or mathematical modeling.

    7. Academic Researcher/Professor: Academic institutions often have research and teaching positions where Numerical Analysis knowledge is highly sought after, particularly in mathematics, engineering, physics, and computer science departments.

    Remember, this is not an exhaustive list, and there are many more options available based on your specific interests and industry preferences.‎

    Numerical Analysis is best suited for individuals who have a strong foundation in mathematics and a keen interest in problem-solving. This field requires a deep understanding of calculus, linear algebra, and numerical methods. People who enjoy working with numbers, analyzing data, and developing algorithms will find studying Numerical Analysis highly rewarding. Additionally, individuals pursuing careers in fields such as engineering, computer science, finance, or data analysis can greatly benefit from studying Numerical Analysis as it provides essential tools for solving complex mathematical problems encountered in these domains.‎

    Here are some topics that are related to Numerical Analysis that you can study:

    1. Interpolation and approximation techniques
    2. Numerical integration and differentiation
    3. Solution methods for linear and nonlinear equations
    4. Matrix computation and linear algebra techniques
    5. Algorithms for solving optimization problems
    6. Numerical methods for solving differential equations
    7. Numerical methods for solving partial differential equations
    8. Monte Carlo methods and simulations
    9. Finite element analysis
    10. Computational methods for solving eigenvalue problems

    These topics cover a wide range of numerical analysis techniques and concepts. You can explore them further by taking online courses, watching video tutorials, or reading textbooks on the subject.‎

    Online Numerical Analysis courses offer a convenient and flexible way to enhance your knowledge or learn new Numerical analysis is a branch of mathematics that focuses on developing algorithms and methods to solve mathematical problems using numerical approximations. It involves studying the accuracy, stability, and efficiency of numerical techniques for solving problems that may be too complex or time-consuming to solve analytically. Numerical analysis plays a crucial role in various fields such as engineering, physics, computer science, and finance, where accurate and efficient numerical solutions are essential. skills. Choose from a wide range of Numerical Analysis courses offered by top universities and industry leaders tailored to various skill levels.‎

    When looking to enhance your workforce's skills in Numerical Analysis, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here.‎

    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.

    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

    Technical Skills

    • ChatGPT
    • Coding
    • Computer Science
    • Cybersecurity
    • DevOps
    • Ethical Hacking
    • Generative AI
    • Java Programming
    • Python
    • Web Development

    Analytical Skills

    • Artificial Intelligence
    • Big Data
    • Business Analysis
    • Data Analytics
    • Data Science
    • Financial Modeling
    • Machine Learning
    • Microsoft Excel
    • Microsoft Power BI
    • SQL

    Business Skills

    • Accounting
    • Digital Marketing
    • E-commerce
    • Finance
    • Google
    • Graphic Design
    • IBM
    • Marketing
    • Project Management
    • Social Media Marketing

    Career Resources

    • Essential IT Certifications
    • High-Income Skills to Learn
    • How to Get a PMP Certification
    • How to Learn Artificial Intelligence
    • Popular Cybersecurity Certifications
    • Popular Data Analytics Certifications
    • What Does a Data Analyst Do?
    • Career Development Resources
    • Career Aptitude Test
    • Share your Coursera Learning Story

    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
    • ECTS Credit Recommendations

    Community

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

    More

    • Press
    • Investors
    • Terms
    • Privacy
    • Help
    • Accessibility
    • Contact
    • Articles
    • Directory
    • Affiliates
    • Modern Slavery Statement
    • Manage Cookie Preferences
    Learn Anywhere
    Download on the App Store
    Get it on Google Play
    Logo of Certified B Corporation
    © 2025 Coursera Inc. All rights reserved.
    • Coursera Facebook
    • Coursera Linkedin
    • Coursera Twitter
    • Coursera YouTube
    • Coursera Instagram
    • Coursera TikTok