Analysis Courses and Certifications

Quantitative Analysis for Teachers: Professional Development

A teacher-focused introduction to quantitative decision-making, risk analysis, and project scheduling through business-oriented lessons.

• Study.com
• 2 hours 8 minutes
• Self-Paced
• Paid Course

Probabilistic Systems Analysis and Applied Probability

A course on the modeling and analysis of random phenomena and processes, including the basics of statistical inference.

• MIT OpenCourseWare
• 21 hours
• Self-Paced
• Free Video

Probabilistic Systems Analysis and Applied Probability

This course introduces students to the modeling, quantification, and analysis of uncertainty.

• MIT OpenCourseWare
• 32 hours
• Self-Paced
• Free Video

Career Certificate

Data Analysis for Life Sciences

Learn how to analyze life sciences data using the R programming language.

• edX
• 16 weeks, 2-4 hours a week
• Self-Paced
• $788.00
• 4 courses

Career Certificate

Data Analysis for Genomics

Learn advanced techniques to analyze genomics data

• edX
• 13 weeks, 2-4 hours a week
• Self-Paced
• $591.00
• 3 courses

Real Analysis

A proof-based journey from completeness of ℝ through convergence, topology, continuity, differentiation, uniform convergence, and Riemann integration.

• YouTube
• 15 hours
• Self-Paced
• Free Video

The Bright Side of Mathematics

Complex Analysis

An introduction to complex differentiability, holomorphic functions, power and Laurent series, singularities, and contour integration.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

The Bright Side of Mathematics

Real Analysis

A comprehensive introduction to real analysis, from sequences, limits, and compactness through Taylor’s theorem and Riemann integration.

• YouTube
• 10 hours
• Self-Paced
• Free Video

The Bright Side of Mathematics

Functional Analysis

Study metric, normed, and inner-product spaces through Banach and Hilbert spaces, bounded operators, duality, and spectral theory.

• YouTube
• 4 hours 30 minutes
• Self-Paced
• Free Video

Data Analysis for Social Scientists

Learn probability, estimation, hypothesis testing, regression, instrumental variables, randomized experiments, and data visualization in R to answer social, economic, and policy questions.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Genetics: Analysis and Applications

Analyze the location and type of mutations and chromosomal changes, create mutants of interest, and justify which genetic techniques answer which questions.

• MITx Online
• 7 weeks, 4-6 hours/week
• Self-Paced
• Free Online 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: Convection

Model convective heat and mass transfer: boundary-layer and fully developed forced convection, Taylor dispersion, natural and combined convection, and turbulent convection.

• MITx Online
• 6 weeks, 10-12 hours a week
• Self-Paced
• Free Online Course

Analysis of Transport Phenomena: Electrochemical Transport

Model electrochemical transport in neutral electrolytes and analyze equilibrium double layers and linear electrokinetics in charged electrolytes through mathematical modeling of diffusion and convection.

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

Analysis of Transport Phenomena: Fluid Mechanics

Model fluid flow mathematically: Couette and Poiseuille flows, the Reynolds lubrication equation, Navier–Stokes, creeping and turbulent flow, interfacial tension, and linear stability analysis.

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