26E083OPM3 - Selected Topics in Mathematics 3 with Applications
Course specification | ||||
---|---|---|---|---|
Course title | Selected Topics in Mathematics 3 with Applications | |||
Acronym | 26E083OPM3 | |||
Study programme | Electrical Engineering and Computing | |||
Module | Computer Engineering and Informatics | |||
Type of study | bachelor academic studies | |||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 3.0 | Status | elective | |
Condition | ||||
The goal | Familiarizing students with the concepts of mathematical analysis in n-dimensional real space and methods to determine extreme values of multivariable real functions, convex sets and multivariable convex functions, with the goal to be able to solve problems of applied mathematics in various areas of Electrical and Computer Engineering. | |||
The outcome | The student is competent to determine extreme values of multivariable real functions and multivariable convex functions and to apply these techniques to solve problems in various fields of Electrical and Computer Engineering. | |||
Contents | ||||
Contents of lectures | Multivariable functions: differentiability, differential operators, extreme values, Taylor’s formula, unconditional and conditional extreme values, Lagrange multipliers, Karush-Kuhn-Tucker theorem, convex sets, multivatiable convex functions, first and second order convexity conditions. | |||
Contents of exercises | Through examples and problems, students learn how to apply the theorems and concepts learned in theory, and to solve specific problems using mathematical software such as Matlab and Python with libraries. Students are prepared to solve optimisation problems in Electrical and Computer Engineering. | |||
Literature | ||||
| ||||
Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
1 | 1 | 0.5 | ||
Methods of teaching | Lectures, exercises, discussions, help with homework using mathematical software such as Matlab and Python with libraries | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | 0 | Test paper | 50 | |
Practical lessons | 30 | Oral examination | 20 | |
Projects | ||||
Colloquia | 0 | |||
Seminars | 0 |