IR101201 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 classify and solve selected types of differential equations
- be able to calculate integrals and solve differential equations 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
- Common differential equations. Solution of separable 1st. and 2nd. order differential equations.

Lectures and problem solvings

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

3-hour written exams