Standard syllabus
Engineering optimization · Graduate · Engineering
Topics
Linear and nonlinear programming
- Optimization problem formulation and convexity
- Linear programming: simplex method and duality
- Sensitivity analysis and shadow prices
- Integer programming and branch-and-bound
- Unconstrained nonlinear optimization algorithms
- Gradient descent, Newton, and quasi-Newton methods
- Constrained optimization: KKT conditions
- Penalty and barrier methods
- Sequential quadratic programming (SQP)
- Global optimization heuristics overview
Specialized engineering formulations
- Least squares and regression as optimization
- Multi-objective optimization and Pareto fronts
- Dynamic programming and optimal control link
- Stochastic programming and chance constraints intro
- Robust optimization under uncertainty
- Topology optimization SIMP method
- Shape optimization and adjoint methods
- Scheduling and network flow problems
- Engineering design optimization case studies
- Convex relaxations for nonconvex problems
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Linear and nonlinear programming
Optimization problem formulation and convexity
Coming soon - Specialized engineering formulations
Least squares and regression as optimization
Coming soon - Computation and software
MATLAB Optimization Toolbox and CVX
Coming soon - Applications across disciplines
Structural weight minimization with constraints
Coming soon
Pricing calculator
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$1,162 · Engineering optimization · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.