Course

Real Analysis (MAT210)

Facts

Course code MAT210

Credits (ECTS) 10

Semester tution start Spring

Language of instruction English, Norwegian

Number of semesters 1

Exam semester Spring

Time table View course schedule

Literature Search for literature in Leganto

Introduction

Introduction to the theory of functions of one and several real variables, including convergence/divergence of series.

Content

Convergence, continuity, differentiability, completeness, and compactness in the real numbers. Differentiation and optimisation of functions of several variables. Taylor series, Fourier series.

Learning outcome

  • Understand what is meant by a mathematical proof, and how to communicate mathematical arguments in the form of a mathematical proof.
  • Understand basic topological notions (closed, open, connected and compact sets).
  • Understand the concept of limit, and be able to define continuity and differentiability of functions of one and several real variables.
  • Understand the concepts of convergence and divergence of series and power series of functions of one real variable, and be able to use different convergence tests, especially for finding the radius of convergence of a power series.
  • Get operational knowledge of the basic concepts of multi-variable analysis. Be able to solve extremal value problems in several variables.
  • Be able to find the Taylor and Fourier series of given simple functions.

Required prerequisite knowledge

None

Recommended prerequisites

Mathematical Methods 1 (MAT100)

Exam

Written exam

Weight 1/1

Duration 4 Hours

Marks Letter grades

Aid Basic calculator, Compilation of mathematical formulae (Rottmann)

Written exam is with pen and paper.

Exam questions are provided only in English but may be answered in English or Norwegian.

Coursework requirements

2 compulsory assignments

2 mandatory assignments must be approved to have access to the exam.

The assignments are handed in individual. All aids are allowed.

Method of work

6 hours lectures and problem-solving classes per week.

Overlapping courses

Course Reduction (SP)
Real Analysis (MAT210_1) , Mathematical Methods 2b (MAT220_1) 1
Real Analysis (MAT210_1) , Mathematical Methods 2 (ÅMA260_1) 5
Real Analysis (MAT210_1) , Mathematical methods 2b (ÅMA270_1) 1
Real Analysis (MAT210_1) , Mathematical methods 2c (ÅMA330_1) 5
Real Analysis (MAT210_1) , Mathematics 5 - Complex analysis (ÅMA310_2) 5
Mathematical Methods 2 (MAT200_1) , Real Analysis (MAT210_1) 5
Real Analysis (MAT210_1) , Mathematics 5 - Complex analysis (ÅMA310_1) 6

Open for

Battery and Energy Engineering Civil Engineering Computer Science Computer Science, Part-Time Electrical Engineering, Part-Time Electrical Engineering Energy and Petroleum Engineering Geosciences and Energy Resources Environmental Engineering Mechanical Engineering Medical Technology Medical Technology - Part-Time Advanced teacher education for level 8-13 in science Mathematics and Physics Mathematics Science and Technology

Course assessment

The faculty decides whether early dialogue will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.

Contact

Course coordinator:
Tyson Ritter

Offered by

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1