IR102005 Calculus 1 (Matematiske metoder 1)

Minimum college entrance requirements with additional 3MX/3MN (3 years of Mathematics in upper secondary school, general subjects)

After completion of the course the students should
- be familiar with the concepts of functions, continuity and differentiation
- be able to use differentials
- be familiar with applications giving
particular integrals
- be able to use appropriate methods for solving integrals
- be able to calculate integrals using CAS (computer algebra system).

- The concept of boundary, continuity and differentiation of functions.
- Inverse functions such as arcsin and arctan.
- Differentials applied to uncertainty and other variables. Models and problem solving using differentiation and differentials.
- Linearization of functions.
- Riemann sums which becomes integral
- Calculation using the fundamental theorem of calculus
- Calculations using definite integrals. A brief introduction to numerical methods

Lectures and problem solvings

At the beginning of the course the professor can decide if the students have to do some obligatory exercises

5-hour written exam in two parts: