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MAT100_1

Mathematical Methods 1

This is the study programme for 2019/2020. It is subject to change.


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.

Contents

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

Required prerequisite knowledge

None.

Exam

Weight Duration Marks Aid
Written exam1/15 hoursA - FCompilation of mathematical formulae (Rottmann).
Specified printed and hand-written means are allowed. Definite, basic calculator allowed.

Coursework requirements

Tre obligatoriske innleveringer
Three mandatory assignments have to be approved before the student is allowed to take the exam.

Course teacher(s)

Course coordinator
Sigbjørn Hervik
Tutor
Matthew Terje Aadne
Course teacher
Sigbjørn Hervik
Head of Department
Bjørn Henrik Auestad

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 courses

Course Reduction (SP)
Mathematical analysis for economists (ØK0025_1) 3
Mathematical methods 1 (TE0549_1) 9
Mathematical methods 1 (TE0549_A) 9
Mathematical analysis for economists (BØK135_1) 5
Mathematical analysis for economists (BØK135_2) 5
Mathematical analysis for economy and social science (BØK135_3) 5
Mathematical methods 1 (ÅMA100_1) 10
Mathematical methods 2 (TE0561_1) 5

Open to

Mathematics - One Year Foundation Programme at the Faculty of Science and Technology.

Bachelor studies at the Faculty of Science and Technology.

Master studies at the Faculty of Science and Technology.

Course assessment

Form and/or discussion

Literature

Text book : Adams & Essex: Calculus. (Pearson). Detailed description of syllabus will be given at the semester start.


This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 17.09.2019

History