Discrete optimization courses can help you learn linear programming, integer programming, and combinatorial optimization techniques. You can build skills in problem formulation, algorithm design, and solution analysis. Many courses introduce tools such as MATLAB, Python libraries like PuLP and SciPy, and optimization software like CPLEX, showing how these skills are applied to logistics, resource allocation, and scheduling challenges.

Johns Hopkins University
Skills you'll gain: Architectural Design, Sustainable Development, Building Codes, Community Development, Land Development, Sustainable Architecture, Building Design, Sustainable Design, Sustainable Technologies, Sustainable Engineering, Construction, Climate Change Mitigation, Traffic Flow Optimization, Environmental Policy, Environmental Engineering, Policy Analysis, Case Studies
Intermediate · Course · 1 - 4 Weeks

Skills you'll gain: Lean Manufacturing, Lean Six Sigma, Manufacturing Operations, Process Improvement, Process Optimization, Production Planning, Organizational Strategy, Key Performance Indicators (KPIs), Production Management, Manufacturing Processes, Strategic Leadership, Continuous Improvement Process, Operational Analysis, Performance Measurement, Automation Engineering, Change Management, Systems Analysis, Simulation and Simulation Software, Sustainable Business, Operations Research
Beginner · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: Calculus, Integral Calculus, Numerical Analysis, Advanced Mathematics, Mathematical Theory & Analysis, Data Integration, Mathematical Modeling, Data Analysis, Vector Databases, Probability, Geometry, Applied Mathematics, Mechanics, Engineering Calculations, Spatial Data Analysis, Derivatives, Physics
Intermediate · Specialization · 3 - 6 Months

Skills you'll gain: LangChain, Hugging Face, Prompt Engineering, Retrieval-Augmented Generation, Model Evaluation, Large Language Modeling, CrewAI, OpenAI API, Generative AI Agents, LLM Application, Vector Databases, Tool Calling, ChatGPT, Responsible AI, Embeddings, AI Enablement, AI Workflows, OpenAI, Generative AI, Python Programming
Intermediate · Specialization · 1 - 3 Months

University of Pennsylvania
Skills you'll gain: Process Analysis, Operational Performance Management, Capacity Planning, Operational Analysis, Key Performance Indicators (KPIs), Operations Management, Operational Efficiency, Business Operations, Process Optimization, Business Metrics, Business Workflow Analysis, Performance Analysis, Business Process Management, Return On Investment, Customer Analysis, Resource Utilization, Customer experience improvement
Intermediate · Course · 1 - 4 Weeks

Columbia University
Skills you'll gain: Reinforcement Learning, Artificial Intelligence and Machine Learning (AI/ML), Machine Learning, Algorithms, Markov Model, Deep Learning, Data-Driven Decision-Making, Decision Support Systems, Simulations, Probability Distribution, Statistical Methods
Intermediate · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Process Capability, Statistical Process Controls, R (Software), Statistical Analysis, Data Analysis Software, R Programming, Quality Control, Quality Improvement, Statistical Methods, Process Analysis, Data Transformation, Statistical Hypothesis Testing, Probability Distribution
Build toward a degree
Intermediate · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Power Electronics, Electrical Engineering, electromagnetics, Electronic Components, Mathematical Modeling, Thermal Management, Engineering Analysis, Engineering Design Process, Engineering Calculations
Intermediate · Course · 1 - 4 Weeks

Starweaver
Skills you'll gain: Business Workflow Analysis, Workflow Management, Process Improvement, Business Systems Analysis, Diagram Design, Project Scoping, Data Flow Diagrams (DFDs), Process Management, Business Process Management, Business Analysis, Service Design, System Design and Implementation, Business Management, Stakeholder Engagement, Stakeholder Communications
Beginner · Course · 1 - 4 Weeks
Duke University
Skills you'll gain: Responsible AI, Large Language Modeling, Data Ethics, Decision Tree Learning, AI Security, Regression Analysis, Generative AI, Artificial Intelligence, Predictive Modeling, AI Product Strategy, Statistical Modeling, Python Programming, Machine Learning, Model Evaluation, Applied Machine Learning, Logistic Regression, Machine Learning Methods, Deep Learning, Visualization (Computer Graphics), Data Literacy
Intermediate · Specialization · 1 - 3 Months

University of Pittsburgh
Skills you'll gain: Statistical Analysis, NumPy, Probability Distribution, Matplotlib, Statistics, Pandas (Python Package), Data Science, Probability & Statistics, Probability, Statistical Modeling, Predictive Modeling, Data Analysis, Linear Algebra, Predictive Analytics, Statistical Methods, Mathematics and Mathematical Modeling, Applied Mathematics, Python Programming, Machine Learning, Logical Reasoning
Build toward a degree
Beginner · Specialization · 1 - 3 Months

Skills you'll gain: Customer Insights, Microsoft Copilot, Customer Analysis, Persona Development, Marketing Analytics, Marketing, Marketing Strategies, Report Writing, Search Engine Marketing, Generative AI Agents, Target Audience, Prompt Engineering, Search Engine Optimization, Social Media Marketing, Data Import/Export
Beginner · Course · 1 - 4 Weeks