# 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

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