• 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
      I

      IBM

      Introduction to Data Analytics

      Skills you'll gain: Big Data, Data Analysis, Statistical Analysis, Apache Hadoop, Apache Hive, Data Warehousing, Apache Spark, Data Cleansing, Data Lakes, Data Visualization Software, Relational Databases

      4.8
      Rating, 4.8 out of 5 stars
      ·
      19K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      Status: AI skills
      AI skills
      I

      IBM

      IBM Data Science

      Skills you'll gain: Dashboard, Data Visualization Software, Data Wrangling, Data Visualization, SQL, Supervised Learning, Feature Engineering, Plotly, Interactive Data Visualization, Jupyter, Data Literacy, Exploratory Data Analysis, Data Mining, Data Cleansing, Matplotlib, Data Analysis, Unsupervised Learning, Generative AI, Pandas (Python Package), Professional Networking

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      143K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      D
      S

      Multiple educators

      Machine Learning

      Skills you'll gain: Unsupervised Learning, Supervised Learning, Machine Learning Methods, Classification And Regression Tree (CART), Artificial Intelligence and Machine Learning (AI/ML), Applied Machine Learning, Machine Learning Algorithms, Machine Learning, Jupyter, Data Ethics, Decision Tree Learning, Tensorflow, Scikit Learn (Machine Learning Library), Artificial Intelligence, NumPy, Predictive Modeling, Deep Learning, Reinforcement Learning, Random Forest Algorithm, Feature Engineering

      Build toward a degree

      4.9
      Rating, 4.9 out of 5 stars
      ·
      34K reviews

      Beginner · Specialization · 1 - 3 Months

    • Status: New
      New
      Status: Free Trial
      Free Trial
      V

      Vanderbilt University

      ChatGPT + Excel: AI-Enhanced Data Analysis & Insight

      Skills you'll gain: Data Storytelling, Prompt Engineering, Data Presentation, ChatGPT, Excel Macros, Excel Formulas, Data Synthesis, Microsoft Excel, Productivity, Infographics, Data Visualization, Spreadsheet Software, Data Analysis, Generative AI, Artificial Intelligence, Data Cleansing, Large Language Modeling, Interactive Data Visualization, Data Import/Export, Statistical Reporting

      4.8
      Rating, 4.8 out of 5 stars
      ·
      5.9K reviews

      Beginner · Specialization · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      Status: New AI skills
      New AI skills
      G

      Google

      Google Digital Marketing & E-commerce

      Skills you'll gain: Media Planning, Search Engine Marketing, Email Marketing, Data Storytelling, Social Media Strategy, Search Engine Optimization, Social Media Marketing, Content Creation, Order Fulfillment, Google Ads, Professional Networking, Online Advertising, A/B Testing, Social Media Campaigns, E-Commerce, Customer Retention, Customer experience strategy (CX), Customer Relationship Management, Campaign Management, Interviewing Skills

      Build toward a degree

      4.8
      Rating, 4.8 out of 5 stars
      ·
      39K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      I

      IBM

      IBM Generative AI Engineering

      Skills you'll gain: Prompt Engineering, Data Wrangling, Large Language Modeling, Unit Testing, Supervised Learning, Feature Engineering, Generative AI, Keras (Neural Network Library), Deep Learning, Artificial Intelligence, ChatGPT, Natural Language Processing, Data Cleansing, Jupyter, Data Analysis, Unsupervised Learning, Data Manipulation, PyTorch (Machine Learning Library), Data Import/Export, Exploratory Data Analysis

      4.6
      Rating, 4.6 out of 5 stars
      ·
      87K reviews

      Beginner · Professional Certificate · 3 - 6 Months

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

      Meta

      Meta Social Media Marketing

      Skills you'll gain: Paid media, Social Media Management, Social Media Marketing, Social Media, Marketing Analytics, Target Audience, Content Creation, Instagram, Marketing Budgets, Social Media Strategy, Social Media Campaigns, Campaign Management, Marketing Effectiveness, Marketing, Performance Analysis, Key Performance Indicators (KPIs), Goal Setting, Advertising, Facebook, Presentations

      Build toward a degree

      4.8
      Rating, 4.8 out of 5 stars
      ·
      21K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of Toronto

      GIS, Mapping, and Spatial Analysis

      Skills you'll gain: ArcGIS, Spatial Data Analysis, Spatial Analysis, Geographic Information Systems, Geospatial Mapping, GIS Software, Data Mapping, Data Visualization, Metadata Management, Query Languages, Global Positioning Systems, Quantitative Research, Data Compilation, Data Modeling, Typography, Data Manipulation, Data Processing, Data Storytelling, Design Elements And Principles, Image Analysis

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

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of California San Diego

      Introduction to Discrete Mathematics for Computer Science

      Skills you'll gain: Graph Theory, Logical Reasoning, Combinatorics, Computational Logic, Deductive Reasoning, Cryptography, Probability, Key Management, Computational Thinking, Encryption, Network Analysis, Public Key Cryptography Standards (PKCS), Algorithms, Theoretical Computer Science, Python Programming, Data Structures, Cybersecurity, Arithmetic, Computer Programming, Mathematical Modeling

      4.5
      Rating, 4.5 out of 5 stars
      ·
      3.6K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      I

      IBM

      IBM Business Intelligence (BI) Analyst

      Skills you'll gain: Dashboard, Data Storytelling, Data Warehousing, SQL, Database Design, MySQL, Presentations, Descriptive Statistics, Extract, Transform, Load, Business Intelligence, IBM DB2, Tableau Software, Relational Databases, Star Schema, Data Visualization Software, Interactive Data Visualization, Regression Analysis, Data-Driven Decision-Making, Excel Formulas, Microsoft Excel

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

      Beginner · Professional Certificate · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of Pennsylvania

      Business and Financial Modeling

      Skills you'll gain: Risk Modeling, Financial Statements, Probability Distribution, Mathematical Modeling, Statistical Modeling, Portfolio Management, Regression Analysis, Business Modeling, Financial Modeling, Strategic Decision-Making, Risk Management, Presentations, Decision Making, Data Visualization, Microsoft PowerPoint, Predictive Modeling, Investment Management, Data-Driven Decision-Making, Spreadsheet Software, Google Sheets

      4.5
      Rating, 4.5 out of 5 stars
      ·
      11K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      P

      PwC

      Data Analysis and Presentation Skills: the PwC Approach

      Skills you'll gain: Analytics, Business Analytics, Data Analysis, Microsoft PowerPoint, Data Presentation, Presentations, Excel Formulas, Data-Driven Decision-Making, Dashboard, Data Storytelling, Business Intelligence, Microsoft Excel, Customer Analysis, Data Visualization, Data Visualization Software, Data Literacy, Big Data, Verbal Communication Skills, Data Cleansing, Spreadsheet Software

      4.6
      Rating, 4.6 out of 5 stars
      ·
      11K reviews

      Beginner · Specialization · 3 - 6 Months

    Numerical Analysis learners also search

    Statistical Analysis
    Predictive Modeling
    Statistical Modeling
    Predictive Analytics
    Data Modeling
    Beginner Predictive Analytics
    Predictive Analytics Projects
    Regression Analysis
    1234…537

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

    • Introduction to Data Analytics: IBM
    • IBM Data Science: IBM
    • Machine Learning: DeepLearning.AI
    • ChatGPT + Excel: AI-Enhanced Data Analysis & Insight: Vanderbilt University
    • Google Digital Marketing & E-commerce: Google
    • IBM Generative AI Engineering: IBM
    • Meta Social Media Marketing: Meta
    • GIS, Mapping, and Spatial Analysis: University of Toronto
    • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
    • IBM Business Intelligence (BI) Analyst: IBM

    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