Course

Mathematical Methods 1 (MAT100)

Complex numbers. Introduction to basic topics in real analysis and their applications : limits, continuity, differentiation, integration and differential equations.


Dette er emnebeskrivelsen for studieåret 2021-2022. Merk at det kan komme endringer.

See course description and exam/assesment information for this semester (2024-2025)

Semesters

Fakta

Emnekode

MAT100

Vekting (stp)

10

Semester undervisningsstart

Autumn

Undervisningsspråk

Norwegian

Antall semestre

1

Vurderingssemester

Autumn

Timeplan

Vis timeplan

Litteratur

Pensumlisten finner du i Leganto

Content

Complex numbers. Introduction to basic topics in real analysis and their applications : limits, continuity, differentiation, integration and differential equations.

Learning outcome

After completing this course the student will be able to:
  • Compute with complex numbers on Cartesian and exponential form, and use de Moivre's theorem.
  • Use the limit concept to define continuity, differentiability and integration.
  • Differentiate all elementary functions, and use the derivative of a function to describe its properties, in particular, to determine its extremal values.
  • Use Leibniz notation to solve problems on related rates.
  • Compute antiderivatives by using substitution, partial integration, partial fraction decomposition and inverse trigonometric substitutions.
  • Compute areas, lengths and volumes by integration.
  • Apply and solve first order linear and separable differential equations, and second order linear differential equations with constant coefficients.

Forkunnskapskrav

Ingen

Exam

Form of assessment Weight Duration Marks Aid Exam system Withdrawal deadline Exam date
Written exam 1/1 5 Hours Letter grades Basic calculator specified in general exam regulations, Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed — — —


Vilkår for å gå opp til eksamen/vurdering

, Four compulsory assignments
Three mandatory assignments have to be approved before the student is allowed to take the exam.

Fagperson(er)

Head of Department:

Bjørn Henrik Auestad

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Sigbjørn Hervik

Course teacher:

Sigbjørn Hervik

Method of work

6 hours lectures, 2 hours exercises. Three compulsory assigned exercises. Mandatory work demands (such as hand in assignments, lab- assignments, projects, etc) must be approved by subject teacher three weeks ahead of examination date.

Overlapping

Emne Reduksjon (SP)
Mathematical Methods 1 (MAT100_1) , Mathematical analysis for economists (ØK0025_1) 3
Mathematical Methods 1 (MAT100_1) , Mathematical methods 1 (TE0549_1) 9
Mathematical Methods 1 (MAT100_1) , Mathematical methods 1 (TE0549_A) 9
Mathematical analysis for economists (BØK135_1) , Mathematical Methods 1 (MAT100_1) 5
Mathematical analysis for economists (BØK135_2) , Mathematical Methods 1 (MAT100_1) 5
Mathematical analysis for economy and social science (BØK135_3) , Mathematical Methods 1 (MAT100_1) 5
Mathematical Methods 1 (MAT100_1) , Mathematical methods 1 (ÅMA100_1) 10
Mathematical Methods 1 (MAT100_1) , Mathematical methods 2 (TE0561_1) 5

Åpent for

Battery and Energy Engineering - Bachelor in Engineering Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Computer Science - Bachelor in Engineering, Part-Time Electrical Engineering - Bachelor's Degree Programme, part-time Electrical Engineering - Bachelor's Degree Programme Energy and Petroleum Engineering, Vocational Path - Bachelor in Engineering Energy and Petroleum Engineering - Bachelor in Engineering Geosciences and Energy Resources - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering Mathematics and Physics - Bachelor's Degree Programme Medical technology - Bachelor in Engineering Medical Technology - Bachelor in Engineering - part time Geosciences Engineering - Bachelor in Engineering Petroleum Technology - Bachelor in Engineering
Admission to Single Courses at the Faculty of Science and Technology
City and Regional Planning - Master of Science Degree Programme, Five Years Environmental Engineering - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme, Five Year Industrial Automation and Signal Processing - Master's Degree Programme - 5 year Robot Technology and Signal Processing - Master's Degree Programme Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years Advanced teacher education for level 8-13 in science Mathematics and Physics - Five Year Integrated Master's Degree Programme Marine and Subsea Technology, Master of Science Degree Programme, Five Years Offshore Technology - Master's Degree Programme Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme, Five Years Master's Degree Programme in Societal Safety, Specialisation in Technical Social Safety Mathematics - One-Year Programme Science and Technology - one-year programme

Emneevaluering

Form and/or discussion

Litteratur

Book

Calculus: a complete course Adams, Robert, Adams, Robert, Essex, Christopher, Pearson Education, 2021, isbn:9780135732588,

Kontakt

Head of Department:

Bjørn Henrik Auestad

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Sigbjørn Hervik

Course teacher:

Sigbjørn Hervik

Tilbys av

Faculty of Science and Technology

Department of Mathematics and Physics

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