Studyinfo subject DAPE2000 2022 HØST
DAPE2000 Mathematics 2000 with Statistics Course description
 Course name in Norwegian
 Matematikk 2000 med statistikk
 Study programme

Bachelorstudium i ingeniørfag  data
 Weight
 10 ECTS
 Year of study
 2022/2023
 Curriculum

FALL
2022
 Schedule
 Programme description
 Course history

Introduction
This course, together with Mathematics 1000, will give students an understanding of mathematical concepts, issues and solution methods with the focus on applications. The course will also give students an understanding of concepts in statistics and probability theory, problems and solution methods with the focus on applications in their own field and in the engineering field in general.
Recommended preliminary courses
The course builds on DAFE1000 Mathematics 1000.
Required preliminary courses
No requirements over and above the admission requirements.
Learning outcomes
After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge The student is capable of:
 using linear algebra to determine eigenvalues and solving systems of differential equations and solving second order linear differential equations with constant coefficients
 discussing functions of multiple variables and apply partial derivatives to various problems
 explaining convergence and power series representations of functions
 explaining key concepts in set theory, probability theory, parameter estimation, hypothesis testing and choice of model
 explaining normal, binomial, Poisson and exponential probability distributions, as well as typical problems to which they can be applied
Skills
The student is capable of:
 calculating eigenvectors and diagonalising matrices
 applying diagonalisation of matrices to solve systems of differential equations
 determining the convergence of series using the ratio test, and finding the Taylor series of known functions
 describing and discussing functions of multiple variables using e.g. level curves and partial derivatives
 determining and classifying critical points of functions of two variables
 applying statistical principles and concepts from their own field
 basic calculus of probability with discrete and continuous probability distributions and parameter estimation
 calculating confidence intervals and testing hypotheses
 applying mathematical tools to matrices and functions of two variables
General competence
The student is capable of:
 identifying the connection between mathematics and their own field of engineering
 transferring a practical problem from their own field into mathematical form, so it can be solved analytically or numerically
 using mathematical methods and tools that are relevant to the field
 using statistical ways of thinking to solve problems in engineering and communicating them orally and in writing
 solving problems in engineering by use of probability calculations, statistical planning of trials, data collection and analysis
Teaching and learning methods
The course is taught through joint lectures and exercises. In the exercise sessions, the students work on assignments, both individually and in groups, under the supervision of a lecturer.
Course requirements
None.
Assessment
Individual written exam, 3 hours.
The exam result can be appealed.
Permitted exam materials and equipment
Aids enclosed with the exam question paper, and a handheld calculator that cannot be used for wireless communication or to perform symbolic calculations. If the calculator’s internal memory can store data, the memory must be deleted before the exam. Random checks may be carried out.
Grading scale
Grade scale AF.
Examiners
One internal examiner. External examiners are used regularly.