Program Overview

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Introduction to Numerical Analysis (NumIntro)

The course "Introduction to Numerical Analysis" is designed to provide students with a comprehensive understanding of numerical methods for solving mathematical problems. Numerical analysis is a field of mathematics that develops methods for calculating solutions to problems where explicit formulas cannot be applied. These methods are often based on recursion, iteration, or more general algorithms.

Course Content

The course covers a range of topics, including:

• Non-linear equations
• Linear systems of equations
• Eigenvalues
• Interpolation
• Differentiation and integration
• Differential equations
• Optimization and control

Learning Objectives

Upon completing the course, students will have acquired knowledge of:

• Standard numerical methods for solving various mathematical problems
• Simple programming in an imperative language, including procedures/functions, variables, statements, numerical expressions, and scope

Students will also develop skills in:

• Setting up simple models for numerical solution of non-linear equations, linear systems of equations, and eigenvalue problems
• Setting up simple models for approximating functions, differential quotients, and integrals
• Numerical solution of differential equations
• Numerical solution of small optimization problems
• Implementing and solving the above problems in an imperative programming language

Competencies

Students will be able to work independently on open-ended problems, present mathematical solutions in writing, use an imperative programming language to write and execute small programs, and explain the difference between "exact mathematics" and "numerical mathematics."

Teaching Methods

The course consists of 7 weeks of teaching, comprising lectures (4 hours per week) combined with theoretical and practical exercises (4 hours per week). Students are expected to work independently or in study groups (approximately 8 hours per week on average) and prepare for lectures and exercises.

Recommended Prerequisites

• Analysis 0
• Analysis 1
• Linear algebra in mathematical subjects

Notes

All participants must have a laptop for exercises, programming assignments, and exams. The course is also aimed at bachelor's programs in computer science, physical sciences, chemistry, and other bachelor's and master's programs with relevant prerequisites.

Feedback

Continuous feedback during the course

Examination

• ECTS: 7.5
• Exam form: Written on-site exam, 4 hours with supervision
• Exam details: The evaluation consists of a 4-hour written exam. The exam is divided into two parts, each lasting 2 hours.

Examination Requirements

It is a requirement to participate in the exam that 2 out of 3 assignment tasks are approved and valid. Assignment tasks can be submitted in groups of up to four people.

Aids

Only certain aids are allowed (see description below)

• For the first part of the exam, all written aids and calculators can be used.
• For the second part of the exam, all aids can be used except AI and internet access.

Assessment Form

7-point scale No external censorship Multiple internal assessors

Re-examination

25-minute oral exam in full curriculum without preparation

Criteria for Assessment

The student must satisfactorily demonstrate that they meet the course's learning objectives.

Course Type

Single subject daytime course (empty space arrangement)

Workload

• Category
• Hours
• Lectures
• 28
• Preparation (estimated)
• 68
• Exercises
• 28
• Study groups
• 56
• Exam
• 26
• Total
• 206

Course Information

• Language of instruction: Danish
• Course number: NMAA09005U
• ECTS: 7.5
• Level: Bachelor
• Duration: 1 block, 7 weeks of teaching
• Placement: Block 1
• Schedule group: C
• Capacity: No limit – unless you sign up in the late registration period (BA and KA) or as a merit or single-subject student.
• Study board: Study board for Mathematics and Computer Science

Responsible Institute

• Institute for Mathematical Sciences

Responsible Faculty

• Faculty of Natural and Biochemical Sciences

Course Responsible

• Giovanni Pantuso

Timetable

• 25E-B1-1; Hold 01;; Introduction to Numerical Analysis
• 25E-B1-1; Hold 02;; Introduction to Numerical Analysis
• 25E-B1-1; Hold 03;; Introduction to Numerical Analysis
• 25E-B1-1; Hold 04;; Introduction to Numerical Analysis
• 25E-B1-1; Hold 05;; Introduction to Numerical Analysis

Are You a BA or KA Student?

If you are a bachelor or kandidat student, find the course in the course catalog for students.