| Scope and form: 2 hours classroom lectures and 2 hours tutorials pr. week. Weekly practical examples to be solved in groups. 4 laboratory exercises in physics |
Evaluation: Written exam
After 4 hours written examination after each term. Internal examination after the 1. Term. External examination after 2. and 3. Term. |
| Examination: 13-scale |
Aim: The student should be able to
- apply the fundamentals of mathematics to technical problems.
- apply the fundamentals of the physical laws and conceptions to technical problems.
- read and understand technical literature using mathematical and physical conceptions |
Contents: 1. term: Continuity and differentiability of functions of one variable. The computer programme MAPLE. Arcusfuncions and hyperbolic functions. The principle of integration with applications. Taylor series. Limits. Differential equations of 1. order with applications. Vectorfunctions. Curvelength. Acceleration and curvature
2. term: Kinematics. Newton's laws. Centre of mass. Equation of angular momentum. Friction. Impact. Work, energy and power. Rigid bodies moving in a plane. Moment of inertia. Equation of states for an ideal gas. Internal energy. The first law of thermodynamics. Cycles with an ideal gas.
3. term: Complex numbers. Linear 2. order differentiale equations. Functions of two variables: Partial derivatives with applications to thermodynamics. Taylor polynomials of 1. and 2. orders. Extreme values. Line integral. Potential functions |
Remarks: The course is a three-semester course for students taking the bachelor degree in Arctic Engineering. The course is taking place in Sisimiut in Greenland.
The course is approved if the total of the three marks is at least 18. |
| Contact: Christian Pommer, (+45) 4525 5855, c.pommer@mat.dtu.dk |
| Department: 001 Department of Mathematics |
| Updated: 12-11-2001 |
