Courses: MAT112 Calculus II - Spring 2019
Credits
10.0Language of Instruction
Norwegian
Teaching semester
Spring
Objectives and Content
Objectives:
The objective of the course is to give an introduction to the central ideas and results from real analysis
Content:
An introduction to real analysis with an emphasis on the Riemann integral, basic properties of curves and surfaces, convergence of sequences and series, and also vectors and functions of several variables. Complex numbers are also introduced
Learning Outcomes
On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
The student..
- knows the basic properties of continuous functions, including the notion of uniform continuity.
- knows the theory of the Riemann integral for bounded functions.
- knows the basic concepts in the theory of sequences and series.
- knows the basic theory of plane curves.
- knows the theory of functions of several variables, including the notions of continuity and differentiability.
- knows the theory of extreme values for functions of several variables.
Skills
The student ..
- can determine if a bounded function is integrable.
- can use a variety of tests to check convergence of sequences and series.
- can compute the length of a curve and the area bounded by a closed course.
- can compute the partial derivates of functions of several variables and use this to solve various problems, including extreme value problems.
General Competence
The student
- has gained a basic understanding of central ideas and results from calculus that enables the student to apply these methods in an independent fashion in relevant situations
Recommended Previous Knowledge
MAT111
Compulsory Assignments and Attendance
Excercises
Forms of Assessment
Written examination: 5 hours
Examination support materials: Non- programmable calculator, according to model listed in faculty regulations
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Subject Overlap
M101: 9 ECTS