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

University of Colorado Boulder
Skills you'll gain: Theoretical Computer Science, Algorithms, Data Structures, Computational Thinking, Computer Programming, Programming Principles, Computer Science, Advanced Mathematics, Mathematical Theory & Analysis, Python Programming, Program Development, Analysis, Data Analysis
Build toward a degree
Advanced · Course · 1 - 4 Weeks
Stanford University
Skills you'll gain: Algorithms, Bioinformatics, Graph Theory, Computational Thinking, Data Structures, Theoretical Computer Science
Intermediate · Course · 1 - 4 Weeks

Duke University
Skills you'll gain: Rust (Programming Language), Containerization, Data Pipelines, CI/CD, Docker (Software), Jenkins, DevOps, Unit Testing, Large Language Modeling, Restful API, Serverless Computing, Generative AI, Amazon Web Services, Software Testing, Maintainability, Command-Line Interface, Prometheus (Software), Natural Language Processing, Computer Programming, Cloud Computing
Beginner · Specialization · 3 - 6 Months

Vanderbilt University
Skills you'll gain: Prompt Engineering, Image Analysis, Data Visualization Software, Matlab, Algorithms, Machine Learning Methods, User Interface (UI), Applied Machine Learning, ChatGPT, Scatter Plots, Object Oriented Programming (OOP), Dimensionality Reduction, Classification And Regression Tree (CART), Computer Programming, Histogram, AI Personalization, Data Processing, Data Analysis, Programming Principles, Debugging
Beginner · Specialization · 3 - 6 Months

University of Alberta
Skills you'll gain: Reinforcement Learning, Machine Learning, Artificial Intelligence, Markov Model, Algorithms, Linear Algebra, Probability Distribution
Intermediate · Course · 1 - 3 Months

Skills you'll gain: C++ (Programming Language), Object Oriented Design, Object Oriented Programming (OOP), Debugging, Computer Programming, Programming Principles, Maintainability, Data Validation
Intermediate · Course · 1 - 4 Weeks

Columbia University
Skills you'll gain: Derivatives, Credit Risk, Financial Market, Capital Markets, Futures Exchange, Equities, Risk Analysis, Risk Management, Market Dynamics, Portfolio Management, Financial Modeling, Mathematical Modeling, Probability Distribution, Computer Programming
Intermediate · Course · 1 - 3 Months

University of Cape Town
Skills you'll gain: Jupyter, Statistical Analysis, Data Visualization, Plot (Graphics), Scientific Visualization, Exploratory Data Analysis, Data Manipulation, Data Science, Other Programming Languages, Statistical Hypothesis Testing, Computer Programming, Mathematical Modeling, Package and Software Management
Beginner · Course · 1 - 4 Weeks

University of Washington
Skills you'll gain: Software Installation, Programming Principles, Other Programming Languages, Functional Design, Computer Programming, Ruby (Programming Language), Theoretical Computer Science, Object Oriented Programming (OOP), Computational Thinking
Intermediate · Course · 1 - 3 Months

LearnQuest
Skills you'll gain: Reinforcement Learning, Responsible AI, Agentic systems, Data Ethics, Artificial Intelligence, Machine Learning Methods, Distributed Computing, Simulations
Beginner · Course · 1 - 4 Weeks

Skills you'll gain: Regression Analysis, Matplotlib, Feature Engineering, Time Series Analysis and Forecasting, Jupyter, Image Analysis, Scikit Learn (Machine Learning Library), Applied Machine Learning, Tensorflow, Data Visualization, Machine Learning Algorithms, Amazon Web Services, Python Programming, Cloud Applications, Data Transformation, Predictive Modeling, Data Processing, Health Informatics, Machine Learning, Artificial Intelligence and Machine Learning (AI/ML)
Beginner · Specialization · 1 - 3 Months

National Taiwan University
Skills you'll gain: Operations Research, Mathematical Modeling, Process Optimization, Report Writing, Business Mathematics, Network Model, Business Modeling, Industrial Engineering, Linear Algebra, Business Operations, Applied Mathematics, Operations Management, Algorithms, Resource Allocation, Case Studies, Engineering Calculations, Project Design, Machine Learning, Program Implementation, Business Analytics
Beginner · Specialization · 3 - 6 Months
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.