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Mathematical Methods 1 MAT100

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


Course description for study year 2021-2022. Please note that changes may occur.

Facts
Course code

MAT100

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

Norwegian

Offered by

Faculty of Science and Technology, Department of Mathematics and Physics

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.
Content
Complex numbers. Introduction to basic topics in real analysis and their applications : limits, continuity, differentiation, integration and differential equations.
Required prerequisite knowledge
None
Exam
Form of assessment Weight Duration Marks Aid
Written exam 1/1 5 Hours A - F Compilation 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
Course teacher: Sigbjørn Hervik
Course coordinator: 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.
Open for
Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor's Degree Programme Computer Science- Bachelor's degree programme in computer science Control Engineering and Circuit Design - Bachelor's Degree Programme Chemistry and Environmental Engineering - Bachelor's Degree Programme Mechanical Engineering - Bachelor's Degree Programme Mathematics and Physics - Bachelor's Degree Programme Geosciences Engineering - Bachelor's Degree Programme Petroleum Technology - Bachelor's Degree Programme Admission to Single Courses at the Faculty of Science and Technology City and Regional Planning - Master's Degree Programme Environmental Engineering - Master of Science Degree Programme Industrial economics - Master's Degree Programme Industrial economics - Master's Degree Programme - 5 year Industrial Automation and Signal Processing - Master's Degree Programme - 5 year Robot Technology and Signal Processing - Master's Degree Programme Mechanical and Structural Engineering and Materials Science- Master's Degree Programme - 5 years Mathematics and Physics, 5-year integrated Master's Programme Marine- and Subsea Technology - Five-Year Master's Programme Offshore Technology - Master's Degree Programme Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master`s Degree programme in Petroleum Engineering, 5 years Technical Societal Safety - Master's Degree Programme Mathematics - One-year programme
Course assessment
Form and/or discussion
Overlapping courses
Course Reduction (SP)
Mathematical analysis for economists (ØK0025) 3
Mathematical methods 1 (TE0549) 9
Mathematical methods 1 (TE0549) 9
Mathematical analysis for economists (BØK135) 5
Mathematical analysis for economists (BØK135) 5
Mathematical analysis for economy and social science (BØK135) 5
Mathematical methods 1 (ÅMA100) 10
Mathematical methods 2 (TE0561) 5
Literature
Search for literature in Leganto