TMOR25 - Multidisciplinary Optimization

Course Code:	TMOR25
Confirmed:	Feb 01, 2025
Valid From:	Sep 01, 2025

Education Cycle:	Second-cycle level
Disciplinary domain:	Natural sciences
Subject group:	Mathematics
Specialised in:	A1N Second cycle, has only first-cycle course/s as entry requirements

Intended Learning Outcomes (ILO)

On completion of the course the student shall:

Knowledge and understanding

display knowledge of different types of optimization algorithms and their use
display knowledge in different types of optimization methods
show understanding about how optimization is used in the realization of sustainable products

Skills and abilities

demonstrate the ability to implement different optimization algorithms
demonstrate the ability to apply optimization methods to solve engineering problems

Judgment and approach

demonstrate the ability to critically evaluate suitable optimization methods for a given problem
demonstrate the ability to critically assess the validity of optimization results

Content

The course enables engineering students to apply optimization methods in the engineering process to optimize various product realization aspects. The applications can be both broad and
multidisciplinary, or highly specific centered around for example detailed engineering design.

The course includes the following elements:

Basic programming: variables, lists, functions, flow control, etc.
Derivatives in multiple dimensions, numerical and automatic differentiation
Univariate optimization, local descent and line search
First-order methods, second-order methods, direct methods and population based methods
Constraints, Lagrange multipliers, KKT-conditions, penalty methods
Sampling, surrogate models, multiobjective optimization, Pareto optimality

Type of instruction

Lectures, laborations and project work.

Language of instruction is in English.

Entry requirements

Passed courses of at least 150 credits in the program Industrial Product Realisation, or a bachelor’s degree (i.e the equivalent of 180 ECTS credits at an accredited university) with at least 90 credits in Mechanical Engineering, Product Development, Materials Engineering, Manufacturing Engineering, Industrial Engineering, Civil or Construction Engineering, or the equivalent. The bachelor’s degree should comprise a minimum of 15 credits in Mathematics. Proof of English proficiency is required.

Examination and grades

The course is graded 5, 4, 3 or U.

The final grade of the course is based on the result from the project, and is issued only when all course units have been passed. Both assignments and project work is examined individually.

Registration of examination:

Name of the Test	Value	Grading
Assignment	4.5 credits	G/U
Project	3 credits	5/4/3/U

COURSE SYLLABUS