• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
  • Coursera Plus
  • Log In
  • Join for Free
    Coursera
    • Browse
    • Dynamic Programming

    Dynamic Programming Courses Online

    Master dynamic programming techniques for solving complex problems. Learn to break down problems into simpler subproblems for efficient solutions.

    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.

    Level
    Required
     *

    Duration
    Required
     *

    Skills
    Required
     *

    Subtitles
    Required
     *

    Educator
    Required
     *

    Explore the Dynamic Programming Course Catalog

    • S

      Stanford University

      Algorithms

      Skills you'll gain: Data Structures, Graph Theory, Algorithms, Bioinformatics, Theoretical Computer Science, Computational Thinking, Network Analysis, Network Routing, Mathematical Theory & Analysis, Analysis, Probability, Design Strategies, Computer Science

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

      Intermediate · Specialization · 3 - 6 Months

    • U

      University of California San Diego

      Introduction to Discrete Mathematics for Computer Science

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

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

      Beginner · Specialization · 3 - 6 Months

    • 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, Statistical Reporting, 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
      ·
      142K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • U

      University of Virginia

      Leading the Modern Day Business

      Skills you'll gain: Design Thinking, Digital Transformation, Creative Problem-Solving, New Product Development, Ideation, Business Transformation, Product Management, Technology Strategies, Agile Product Development, Innovation, Creativity, Product Lifecycle Management, Strategic Thinking, Product Improvement, Market Opportunities, Information Technology, Competitive Analysis, Business Analysis, Business Strategy, Cyber Risk

      4.7
      Rating, 4.7 out of 5 stars
      ·
      20K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free
      Free
      U

      University of California San Diego

      Biology Meets Programming: Bioinformatics for Beginners

      Skills you'll gain: Bioinformatics, Programming Principles, Python Programming, Computational Thinking, Algorithms, Analysis

      4.2
      Rating, 4.2 out of 5 stars
      ·
      1.6K reviews

      Beginner · Course · 1 - 4 Weeks

    • M

      Meta

      Programming with JavaScript

      Skills you'll gain: Jest (JavaScript Testing Framework), Web Development Tools, Javascript, Unit Testing, Object Oriented Programming (OOP), Event-Driven Programming, Node.JS, JSON, Computer Programming, Data Structures, Development Testing, Debugging, Package and Software Management, Functional Design

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

      Beginner · Course · 1 - 3 Months

    • I

      IBM

      IBM AI Developer

      Skills you'll gain: Generative AI, Software Development Life Cycle, Unit Testing, ChatGPT, HTML and CSS, Development Environment, Web Design and Development, Jupyter, Hypertext Markup Language (HTML), Software Engineering, Artificial Intelligence, Cascading Style Sheets (CSS), Web Development, Data Ethics, Application Deployment, Web Applications, Automation, Interviewing Skills, CI/CD, Professional Networking

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      68K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • G

      Google

      Google AI Essentials

      Skills you'll gain: Generative AI, Artificial Intelligence and Machine Learning (AI/ML), Productivity Software, Artificial Intelligence, Data Ethics, Security Awareness, Business Workflow Analysis, Innovation, Automation, Workflow Management, Information Privacy, Human Computer Interaction, Content Creation, Natural Language Processing, Complex Problem Solving

      4.7
      Rating, 4.7 out of 5 stars
      ·
      11K reviews

      Beginner · Course · 1 - 3 Months

    • D

      DeepLearning.AI

      Deep Learning

      Skills you'll gain: Computer Vision, Deep Learning, Image Analysis, Natural Language Processing, Artificial Neural Networks, Artificial Intelligence and Machine Learning (AI/ML), Tensorflow, Supervised Learning, Keras (Neural Network Library), Artificial Intelligence, Applied Machine Learning, PyTorch (Machine Learning Library), Machine Learning, Debugging, Performance Tuning, Machine Learning Methods, Python Programming, Data-Driven Decision-Making, Text Mining, Machine Learning Algorithms

      Build toward a degree

      4.8
      Rating, 4.8 out of 5 stars
      ·
      146K reviews

      Intermediate · Specialization · 3 - 6 Months

    • I

      IBM

      IBM DevOps and Software Engineering

      Skills you'll gain: CI/CD, Istio, Open Web Application Security Project (OWASP), Continuous Integration, Software Development Life Cycle, Linux Commands, Agile Software Development, Unit Testing, Cloud Computing Architecture, Application Deployment, Test Driven Development (TDD), Gherkin (Scripting Language), Jenkins, Kubernetes, Bash (Scripting Language), Cloud Services, Git (Version Control System), DevOps, Jupyter, Grafana

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      59K reviews

      Beginner · Professional Certificate · 3 - 6 Months

    • U

      University of London

      Object Oriented Programming

      Skills you'll gain: Pseudocode, C++ (Programming Language), Object Oriented Programming (OOP), Object Oriented Design, Computer Programming, Development Environment, Programming Principles, Debugging, Data Structures, Algorithms, Interactive Design, Program Development, Data Modeling, Test Data, User Interface (UI), Command-Line Interface, Statistical Programming, Development Testing, Transaction Processing, File Management

      Build toward a degree

      4.7
      Rating, 4.7 out of 5 stars
      ·
      217 reviews

      Intermediate · Specialization · 1 - 3 Months

    • U

      University of Michigan

      Applied Data Science with Python

      Skills you'll gain: Matplotlib, Network Analysis, Feature Engineering, Plot (Graphics), Data Visualization Software, Interactive Data Visualization, Pandas (Python Package), Applied Machine Learning, Supervised Learning, Text Mining, Scikit Learn (Machine Learning Library), Network Model, Jupyter, NumPy, Graph Theory, Data Manipulation, Natural Language Processing, Data Analysis, Data Processing, Unstructured Data

      4.5
      Rating, 4.5 out of 5 stars
      ·
      34K reviews

      Intermediate · Specialization · 3 - 6 Months

    Dynamic Programming learners also search

    C Programming
    Programming
    C
    Beginner Programming
    Development
    C Programming Projects
    Programming Projects
    Computer Programming
    1…456…314

    In summary, here are 10 of our most popular dynamic programming courses

    • Algorithms: Stanford University
    • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
    • IBM Data Science: IBM
    • Leading the Modern Day Business: University of Virginia
    • Biology Meets Programming: Bioinformatics for Beginners: University of California San Diego
    • Programming with JavaScript: Meta
    • IBM AI Developer: IBM
    • Google AI Essentials: Google
    • Deep Learning: DeepLearning.AI
    • IBM DevOps and Software Engineering: IBM

    Skills you can learn in Business Strategy

    Modeling (25)
    Market (economics) (21)
    Plan (19)
    Planning (16)
    Strategic Management (16)
    Business Model (13)
    Operations Management (13)
    Analytics (12)
    Evaluation (12)
    Project Management (11)
    Supply Chain (10)
    Decision-making (9)

    Frequently Asked Questions about Dynamic Programming

    Dynamic programming is an algorithmic technique that solves optimization problems by breaking them down into simpler sub-problems. The solutions to these sub-problems are stored along the way, which ensures that each problem is only solved once. Dynamic programming has become an important technique for efficiently solving complex optimization problems in applications such as reinforcement learning for artificial intelligence (AI) and genome sequencing in bioinformatics.

    The advantages of dynamic programming can be understood in relation to other algorithms used to solve optimization problems. Like divide and conquer algorithms, dynamic programming breaks down a larger problem into smaller pieces; however, unlike divide and conquer, it saves solutions along the way so each problem is only solved once, improving the speed of this approach. By contrast, greedy algorithms also solve each problem only once, but unlike dynamic programming, it does not look back to consider all possible solutions, running the risk that the greedy algorithm will settle on a locally optimal solution that is not globally optimal.

    Ultimately, there is no single “silver bullet” algorithm that is best for every application, and different types of problems will require different techniques. However, dynamic programming’s ability to deliver globally optimal solutions with relative efficiency makes it an important part of any programmer’s skill set.‎

    Dynamic programming is a valuable career skill for programmers working on complex optimization problems in high-tech fields such as data science, artificial intelligence and machine learning, robotics, and bioinformatics. Computer scientists with the ability to find the right approaches to these high-value problems are highly sought after and compensated accordingly by leading companies in these industries. According to the Bureau of Labor Statistics, computer and information research scientists earned a median annual salary of $122,840 per year in 2019, and these jobs are expected to grow much faster than the average across the rest of the economy.‎

    Yes! There are an incredibly wide range of learning opportunities in computer science on Coursera, including courses and Specializations in algorithms and dynamic programming. Coursera lets you learn about dynamic programming remotely from top-ranked universities from around the world such as Stanford University, National Research University Higher School of Economics, and University of Alberta. And, because learners on Coursera pay a significantly lower tuition than on-campus students, you won’t need to use dynamic programming or other algorithmic techniques to determine whether it’s an optimal investment in your career.‎

    The people best suited for roles in dynamic programming are computer programmers and people with experience working with algorithms. Dynamic programming is an algorithmic technique for breaking down a problem into simpler subproblems, so it’s important that people who pursue roles in dynamic programming have experience working in fields that utilize this technique. People who work as aerospace engineers or in economics are best suited for these roles.‎

    A common career path for someone in dynamic programming is a job as a computer and information research scientist. These scientists design software systems and invent new computing languages, which they later test and present to colleagues in academic journals and conferences. Another common career path for someone studying dynamic programming is working with robotics or in computer programming.‎

    It’s important for learners to have a strong handle on algorithms, so topics related to advanced algorithms and complexity, discrete optimization, data structures and algorithms, algorithms on strings, and algorithms on graphs are extremely useful. Reinforcement learning may explore topics related to AI tools and how it is useful in game development, customer interaction, and supply chain. For learners looking to improve their computer programming skills, the fundamentals of computing may help you program and think like a computer scientist. Competitive programming is the next step up and is a great option if you want to explore topics related to dynamic programming and number and graph theories.‎

    Most people with a background in dynamic programming are hired to work in the federal government, according to the U.S. Bureau of Labor Statistics. Some people also work for computer systems and design-related services companies. Research and development companies hire people with a background in dynamic programming as well as software publishers.‎

    Online Dynamic Programming courses offer a convenient and flexible way to enhance your knowledge or learn new Dynamic Programming skills. Choose from a wide range of Dynamic Programming courses offered by top universities and industry leaders tailored to various skill levels.‎

    When looking to enhance your workforce's skills in Dynamic Programming, 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