# 2019/2020

## Prerequisite/Recommended prerequisite for participation in the module

The module builds on knowledge gained in Linear Algebra or similar

## Content, progress and pedagogy of the module

### Learning objectives

#### Knowledge

Students who have passed the module

• Should have knowledge about definitions, results and techniques within the theory of differentiation and integration of functions of two or more variables
• Should know trigonometric functions and their inverse functions
• Should have knowledge about simple surfaces in right-angled, polar and spherical coordinates
• Should have knowledge about complex numbers their calculation rules and representations
• Should have knowledge about factorization of polynomia of complex numbers
• Should have knowledge about the complex exponential function, its properties and its connection with trigonometric functions
• Should have knowledge about the theory for second order linear differential equations with constant coefficients

#### Skills

• Can visualize functions of two and three variables by means of graphs, level curves and level planes
• Can determine local and global extremes for functions of two and three variables
• Can determine area, volume, inertia moment by use of integration theory
• Can approximate functions of a variable by means of Taylor’s equation and use linear approximation for functions with two or three variables
• Are capable of calculations using complex numbers
• Can find the roots of the complex quadratic equation and perform factorization of polynomia in simple cases
• Can solve linear second order differential equations with constant coefficients, generally and with starting conditions
• Can reason with the concepts, results and theories of the course in simple concrete and abstract problems

#### Competences

• Can develop and strengthen the knowledge, understanding and application of mathematical theories and methods within other fields
• Can reason and argue using mathematical concepts from given prerequisites

### Type of instruction

Lectures and calculation exercises

150 hours

## Exam

### Exams

 Name of exam Calculus Type of exam Written or oral exam ECTS 5 Assessment 7-point grading scale Type of grading Internal examination Criteria of assessment As stated in the Joint Programme Regulations