# Slides from Lectures and Tutorials

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**Day 1: Introduction and Applications of Optimization**

**Day 2: Case Study and Methods for Unconstrained Optimization**

**Day 3: Newton and Conjugate Gradient Methods**

**Day 4: Trust-Region Methods and Bound Constrained Optimization**- Restricted Step Methods
- Methods for Bound Constrained Optimization
- Tutorial 4 new version of the Matlab routines Zip archive with Matlab routines you can modify

**Day 5: Optimality Conditions, Convexity, and Duality**

**Day 6: Linear and Quadratic Programming**- Linear Programming
- Quadratic Programming
- Tutorial 6
- Data file for transshipment model network.dat
- Data file for portfolio model portfolio.dat
- Part of Student.mod model file part.mod

**Day 7: Nonlinear Programming Methods Part I**- Sequential Quadratic Programming
- Interior-Point and Augmented Lagrangian Methods
- Tutorial 7
- Data files for sparse optimization SparseOpt.dat, lasso6_20_2.dat, lasso20_100_14.dat

**Day 8: Nonlinear Programming Methods Part II**

**Day 9: Optimization Problems with Equilibrium Constraints**- Optimization Problems with Equilibrium Constraints
- Optimization Problems with Equilibrium Constraints
- Tutorial 9
- Model file for optimal taxation example TaxBeer.mod
- Model file for optimal taxation
*small*example TaxBeerSmall.mod

**Day 10: Mixed-Integer Nonlinear Optimization**- Introduction to Mixed-Integer Nonlinear optimization
- Branch-and-Bound for Mixed-Integer Nonlinear optimization
- The Real Tutorial 10 A tutorial on te cutting stock problem by Meenarli, Prashant, and Devanand
- Small Example: scpSmall.ampl, cspSmall.dat, cspSmall.mod
- Larger Example: colGen.ampl, csp.dat, csp.mod

- Alternative Tutorial 10
- Model and data file for water network optimization water-net.mod, water-net.dat

**Day 11: Mixed-Integer Nonlinear Optimization**

**Day 12: Mixed-Integer Nonlinear Optimization**- Case Study in MINLP
- Mixed-Integer PDE Constrained Optimization
- Tutorial: Column Generation model file csp.mod, data file csp.dat, and run file colGen.ampl