• 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 California, Irvine

      Project Management & Other Tools for Career Development

      Skills you'll gain: Business Writing, Negotiation, Stakeholder Management, Project Performance, Business Correspondence, Creative Problem-Solving, Problem Solving, Conflict Management, Concision, Project Risk Management, Editing, Decision Making, Change Control, Grammar, Project Management, Creativity, Organizational Effectiveness, Project Planning, Emotional Intelligence, Relationship Building

      4.7
      Rating, 4.7 out of 5 stars
      ·
      37K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      I
      U
      I

      Multiple educators

      Data Science Foundations

      Skills you'll gain: Dashboard, Pseudocode, Jupyter, Algorithms, Data Literacy, Data Mining, Pandas (Python Package), Correlation Analysis, Web Scraping, NumPy, Probability & Statistics, Predictive Modeling, Big Data, Automation, Data Visualization Software, Data Collection, Data Science, GitHub, Machine Learning Algorithms, Unsupervised Learning

      4.6
      Rating, 4.6 out of 5 stars
      ·
      113K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      D

      DeepLearning.AI

      Improving Deep Neural Networks: Hyperparameter Tuning, Regularization and Optimization

      Skills you'll gain: Tensorflow, Deep Learning, Artificial Intelligence and Machine Learning (AI/ML), Performance Tuning, Artificial Neural Networks, Machine Learning Algorithms, Analysis, Debugging

      4.9
      Rating, 4.9 out of 5 stars
      ·
      63K reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Pennsylvania

      Data Analysis Using Python

      Skills you'll gain: Matplotlib, Data Analysis, Pandas (Python Package), Data Cleansing, Pivot Tables And Charts, Data Visualization Software, Data Manipulation, Scatter Plots, NumPy, Data Transformation, Jupyter, Data Validation, Data Import/Export, Histogram, Data Structures, Programming Principles, Scripting Languages

      4.5
      Rating, 4.5 out of 5 stars
      ·
      417 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      I

      Imperial College London

      Survival Analysis in R for Public Health

      Skills you'll gain: Biostatistics, Statistical Analysis, R Programming, Regression Analysis, Exploratory Data Analysis, Time Series Analysis and Forecasting, Data Analysis, Data Import/Export, Statistical Hypothesis Testing, Descriptive Statistics

      4.5
      Rating, 4.5 out of 5 stars
      ·
      323 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      G

      Google

      Prepare Data for Exploration

      Skills you'll gain: Data Ethics, Data Analysis, Data Literacy, Data Security, Google Sheets, Data Cleansing, Databases, Data Access, Data Quality, Data Management, Data Collection, Relational Databases, SQL, Metadata Management, Unstructured Data

      4.8
      Rating, 4.8 out of 5 stars
      ·
      22K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      I

      Interactive Brokers

      Fundamentals of Equities

      Skills you'll gain: Equities, Investments, Financial Statement Analysis, Financial Analysis, Balance Sheet, Risk Management, Securities Trading, Portfolio Management, Income Statement, Business Economics, Cash Flows

      4.3
      Rating, 4.3 out of 5 stars
      ·
      375 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Michigan

      Python Data Structures

      Skills you'll gain: Data Structures, Python Programming, Programming Principles, Data Import/Export, Data Manipulation, Development Environment, File Management

      4.9
      Rating, 4.9 out of 5 stars
      ·
      97K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Illinois Urbana-Champaign

      Financial Analysis of Organizations

      Skills you'll gain: Financial Statements, Financial Statement Analysis, Financial Forecasting, Financial Accounting, Income Statement, Balance Sheet, Financial Analysis, Revenue Forecasting, Cash Flow Forecasting, Financial Data, Financial Modeling, Cash Flows, Equities, Business Valuation, Financial Planning, Capital Expenditure

      4.5
      Rating, 4.5 out of 5 stars
      ·
      117 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Illinois Urbana-Champaign

      Introduction to Financial Analysis - The "Why?"

      Skills you'll gain: Financial Analysis, Finance, Accounting, Business Valuation, Financial Statements, Financial Management, Balance Sheet, Corporate Finance, Return On Investment, Income Statement, Entrepreneurial Finance, Risk Analysis, Cash Flows, Equities, Investment Management, Loans

      4.7
      Rating, 4.7 out of 5 stars
      ·
      285 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      I

      IBM

      Applied Data Science

      Skills you'll gain: Dashboard, Data Visualization Software, Plotly, Data Visualization, Predictive Modeling, Interactive Data Visualization, Exploratory Data Analysis, Data Wrangling, Data Analysis, Jupyter, Matplotlib, Pandas (Python Package), Seaborn, Data Presentation, Data Import/Export, Web Scraping, Automation, Data Science, Data-Driven Decision-Making, Python Programming

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      58K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      G

      Google Cloud

      Preparing for Google Cloud Certification: Cloud Architect

      Skills you'll gain: Cloud Infrastructure, Identity and Access Management, Kubernetes, Google Cloud Platform, Prompt Engineering, Application Deployment, Cloud Storage, Containerization, Infrastructure As A Service (IaaS), Cloud Computing, CI/CD, Cloud Computing Architecture, Cloud Security, Cloud Management, Cloud Services, Load Balancing, Service Level Agreement, Infrastructure as Code (IaC), Virtual Machines, Process Analysis

      4.7
      Rating, 4.7 out of 5 stars
      ·
      59K reviews

      Intermediate · Professional Certificate · 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
    1…91011…537

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

    • Project Management & Other Tools for Career Development: University of California, Irvine
    • Data Science Foundations: IBM
    • Improving Deep Neural Networks: Hyperparameter Tuning, Regularization and Optimization: DeepLearning.AI
    • Data Analysis Using Python: University of Pennsylvania
    • Survival Analysis in R for Public Health: Imperial College London
    • Prepare Data for Exploration: Google
    • Fundamentals of Equities: Interactive Brokers
    • Python Data Structures: University of Michigan
    • Financial Analysis of Organizations: University of Illinois Urbana-Champaign
    • Introduction to Financial Analysis - The "Why?": University of Illinois Urbana-Champaign

    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