# Mathematics Y2 FY2007

## Course Objectives

The course will provide students with the mathematical skills that are necessary in the course subjects. It will provide students with a foundation that will enable them to progress with the course Mathematics I.

## Course Description

*Derivation:* Derivation of potential functions, basic derivation rules, derived functions of second degree. The Product Rule, the Quotient Rule, the Chain Rule. The derivative of trigonometric, logarithmic and exponential functions. Implicit differentiation. Analysis of functions

*Integration: *Indefinite and definite integrals, substitution, partial integration, partial fraction expansion, area calculations, volume of a revolution (disk-washer method).

*Numerical sequences and series: *Numerical sequences, arithmetical series, convergence and infinite series.

*Differential equations. *Separable differential equations.

*Vectors. *Vectors in 2- and 3-space. Vector coordinates, dot product, cross product and triple product. Lines in 3-space.

## Learning Methods

5 hours of lectures and 5 hours exercises per week.

## Assessment Methods

Two written mid-term tests which count for 50% and a written final examination (4 hours) which counts 50%. All tests have two parts, one with and one without facilities. Both mid-term tests or the final examination must receive passing marks in order to receive a passing mark for the course.

*Minor adjustments may occur during the academic year, subject to the decision of the Dean*

Publisert av / forfatter Unni Stamland Kaasin <Unni.S.KaasinSPAMFILTER@hit.no>,Jens H Aarnes <Jens.H.AarnesSPAMFILTER@hit.no> - 12/05/2011