OPTIMIZATION METHODSOPTIMIZATION METHODS

Сomparison of courses

Master's program "Information and software of the automated

systems"

Comparison Comparison with standards with standards SEFI SEFI

2

Unfortunately, I can not find the standards SEFI for the course "Optimization Techniques".

Comparison with methodologyComparison with methodology of of TUTTUT

3

Optimization Methods (KNITU, RUSSIA)

Optimization Methods (TUT,

Finland)Selective/mandatory Mandatory Selectivemethod of teaching Blended BlendedCourse SEFI level (Core 0, 1, 2 or 3) 3 3Amount of credits 3 5Duration 12 week 7 weeksStudent hours 108 138Lectures 10 28Laboratory work / tutorials 20 18Homework (% mandatory) 35 36Internship 0 0Exam preparation 30 10Exam 3 3

Distribution of study time

Comparison with methodologyComparison with methodology of of TUTTUT

4

Comparison of topics studied

Optimization Methods (KNITU, RUSSIA)Optimization Methods (TUT, Finland)

0. Methods of one-dimensional optimizationPassive search method. Blindman-Walking search. Dichotomous search. Golden-section search

 

1. Linear Optimization 1. Linear OptimizationGraphical method , Simplex Algorithm Simplex Algorithm, Duality, Dual

Simplex Algorithm2. Nonlinear Optimization 2. Nonlinear OptimizationFree optimization: Minimization by regular simplex. Method of cyclic coordinate descent (CCD), Gradient descent method. The steepest descent method. Newton method.

Free optimization (without boundaries), Newton method, Conjugate method, gradient method, quasi-Newton method

3. Constraint Optimization 3. Constraint OptimizationConstraint Optimization: Penalty function method. Method of barrier functions. Random search methods. Lagrange method.

Constraint Optimization: Karesh-Kuhn-Tucker conditions, penalty and barrier function methods, augmented La Grangean Method

Comparison with methodologyComparison with methodology of of TUTTUT

5

Using computers

Optimization Methods (KNITU, RUSSIA)

Optimization Methods (TUT,

Finland)Modern lecture technology? multimedia, BlackBoard MatlabAssignments: handed in, tutorials, or both? Tutorials only TutorialsThird party supporting material online? (Such as Khan Academy) None used None usedIs there supportive teaching or a support center available?

Support available at 20-hour laboratory works

Support available at tutorials

Which tools are used

LMS Black Board, Computer tutorial "Optimization methods", MS Excel, MatLab Moodle, POP, Matlab

 LMS Black Board: file sharing, course information

Moodle: File sharing, course information

 Computer tutorial: labolatory works.

POP: course and exam enrollment, course grades

  MatLab: labolatory works. Matlab: Tutorials

Ideas for modifying courseIdeas for modifying course

6

• The main discrepancy with the program TUT:

smaller number of lectures (almost twice).

Way to solve:

• Using Math-Bridge for increase the lecture material

• Check the quality of the knowledge gained through

mid-term tests..

Ideas for using Math-Bridge in Ideas for using Math-Bridge in course.course.

7

• Using Math-Bridge for increase the lecture material:

To present in Math-Bridge additional topics for study,

practical examples of solving problem.

• Use Math-Bridge to create and apply mid-term tests

on additional topics.

Thank you for your attention.

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