Upon successful completion of the course, the student will be able to
explain and apply central concepts connected to functions of one real variable.
account for important results and relations between concepts.
use the most common methods in elementary calculus connected to concepts as limits, continuity, derivative and integral.
apply and justify some central results of calculus.
Course contents
Fundamental algebra and trigonometry. Real numbers and elementary theory about open and closed sets, limits, properties of continuous functions, derivation, techniques to find antiderivatives of elementary functions, integration and the fundamental theorem of calculus. Examples of applications.
Teaching methods
Lectures, group work and compulsory submissions with mutual assessment. The subject has an expected scope of work of around 270 hours.
Examination requirements
Mandatory requirements must be approved in order to sit for the exam. See Canvas for more information.
Assessment methods and criteria
Written 5 hour exam under supervision. Graded grade.
Evaluation
The person responsible for the course decides, in cooperation with student representative, the form of student evaluation and whether the course is to have a midway or end of course evaluation in accordance with the quality system for education, chapter 4.1.