Mathematical Modeling Courses and Certifications

Dynamical Modeling Methods for Systems Biology

223 ratings at Coursera

Build dynamical models of biological processes in MATLAB: ordinary and partial differential equation models, stochastic simulations, bistable signaling, cell cycle control, and electrical signaling.

• Coursera
• 7 weeks, 3 hours a week
• Self-Paced
• Paid Course

Career Certificate

Infectious Disease Modelling

307 ratings at Coursera

Build infectious disease models in R: develop the SIR model, code interventions, calibrate models to data, and extend the basic structure to richer transmission dynamics.

• Coursera
• 8 weeks, 10 hours a week
• Self-Paced
• Paid Course
• 3 courses

Developing the SIR Model

277 ratings at Coursera

Build compartmental SIR models of infectious disease: interpret rates, durations and proportions, explore the basic reproduction number, and model population turnover, vaccination and waning immunity.

• Coursera
• 4 weeks, 5 hours a week
• Self-Paced
• Paid Course

Quantitative Formal Modeling and Worst-Case Performance Analysis

44 ratings at Coursera

Model systems as token production and consumption: draw Petri-nets, formalize behavior with prefix orders and counting functions, and analyze throughput, latency and buffering in single-rate dataflow graphs.

• Coursera
• 5 weeks, 3 hours a week
• Self-Paced
• Paid Course

Control Systems Analysis: Modeling of Dynamic Systems

141 ratings at Coursera

Model mechanical, electrical, and electromechanical systems as transfer functions with Laplace transforms, then analyze block diagrams, step response specifications, BIBO stability, and Routh's criterion.

• Coursera
• 5 weeks, 3 hours a week
• Self-Paced
• Paid Course

Calculus Applied!

40 ratings at edX

Apply tools of single-variable calculus to create and analyze mathematical models used by real practitioners in social, life, and physical sciences.

• edX
• 10 weeks, 3-6 hours a week
• Self-Paced
• Free Online Course (Audit)

Modeling of Autonomous Systems

25 ratings at Coursera

Model autonomous and cyber-physical systems using state-space equations, timed and hybrid automata, and transition systems, then analyze system behaviors and parallel, serial, and feedback compositions.

• Coursera
• 4 weeks, 2 hours a week
• Self-Paced
• Paid Course

Applied Control Systems 1: autonomous cars: Math + PID + MPC

2015 ratings at Udemy

Modeling + state space systems + PID + Model Predictive Control + Python simulation: lateral control for autonomous cars

• Udemy
• 17 hours 56 minutes
• Self-Paced
• Paid Course

Control Systems Made Simple | Beginner's Guide

1189 ratings at Udemy

Learn fundamentals of Mechanical & electrical system modeling, simulation and control with this unique practical course!

• Udemy
• 7 hours 28 minutes
• Self-Paced
• Paid Course

Career Certificate

Business Problem Solving

33 ratings at Coursera

Identify, analyze, and solve business problems with spreadsheet models, using mathematical tools to uncover key relationships in business data and support data-driven decisions.

• Coursera
• 4 weeks, 10 hours a week
• Self-Paced
• Paid Course
• 3 courses

MathWorks

Designing and Simulating Physical Models

14 ratings at Coursera

Build multi-domain physical models in Simscape and Simulink, simulating components like electric motors, batteries, quadcopters, and robot arms, then integrate them into larger systems.

• Coursera
• 4 weeks, 2 hours a week
• Self-Paced
• Paid Course

Analysis of Transport Phenomena: Asymptotics

Apply asymptotic methods to transport models: regular and singular perturbations for algebraic and differential equations, plus matched asymptotic expansions for heat, mass, and fluid problems.

• MITx Online
• 2 weeks, 10-12 hours/week
• Self-Paced
• Free Online Course

Analysis of Transport Phenomena: Mathematical Formulation

Formulate continuum models of heat and mass transfer, fluid dynamics, and phase transformations, solving them with scaling, dimensional analysis, perturbation methods, matched asymptotics, and eigenfunction expansions.

• MITx Online
• 4 weeks, 10-12 hours/week
• Self-Paced
• Free Online Course

Analysis of Transport Phenomena: Models

Formulate continuum models of heat and mass transfer: derive integral, differential, and interfacial conservation equations and build models of diffusion from random walks.

• MITx Online
• 2 weeks, 10-12 hours/week
• Self-Paced
• Free Online Course

Analysis of Transport Phenomena: Scaling

Model heat and mass transfer, fluid flow, and chemical reactions using dimensional analysis, similarity solutions for linear and nonlinear diffusion, and Green functions with the method of images.

• MITx Online
• 3 weeks, 10-12 hours/week
• Self-Paced
• Free Online Course