Elementary Calculus I
Undergraduate course
- ECTS credits
- 10
- Teaching semesters
- Autumn
- Course code
- MAT101
- Number of semesters
- 1
- Teaching language
- Norwegian
- Resources
- Schedule
Course description
Objectives and Content
Objectives:
The course provides students with an elementary introduction to functions of one variable, focusing on trigonometric and exponential functions, limits, differentiation, integration, and simple differential equations. Additionally, the course includes basic vector algebra. Students learn to use this for simple modeling in biology, natural sciences, and social sciences.
Content:
The course includes an elementary introduction to functions of one variable, focusing on trigonometric and exponential functions, limits, differentiation, integration, and simple differential equations. Additionally, the course includes basic vector algebra.
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
- has insight in the properties of basic functions such as polynomial functions, exponential functions, and trigonometric functions.
- can differentiate functions formed by the basic functions, and they know basic techniques for evaluating indefinite and definite integrals involving these functions
- can discuss the graphs of functions of one variable, basic vector algebra with simple geometrical applications
- can model simple situations involving exponential functions and simple differential equations, and find solutions for the model equations
Skills
The student
- is able to solve problems involving basic functions such as polynomial functions, exponential functions, and trigonometric functions
- is able to differentiate functions formed by the basic functions, and the student can apply basic techniques for evaluating indefinite and definite integrals involving these functions
- is able discuss the graphs of functions of one variable, and is able to apply basic vector algebra on simple geometrical applications
- is able to model simple situations involving exponential functions and simple differential equations, and is able tofind solutions for the model equations
General competence
The student
- can basic mathematical methods and the student can apply them to solve simple practical problems.
- Engage in group work and articulate mathematical reasoning.
Semester of Instruction
Recommended Previous Knowledge
Forms of Assessment
There is portfolio assessment in MAT101 where the grade is based on three parts:
- Points from multiple-choice tasks individually and in groups (weighted equally) throughout the course, with 25%
- Project (peer-reviewed), weight 5%
- Written final exam of 4 hours, weight 70%. The exam must be passed to receive a result in the course.
Assessment elements 1 and 2 are valid for two semesters: the current one + the following spring.
The final grade consists of assessment elements 1-3, and candidates receive a letter grade based on all three assessment elements, weighted as listed above.