Studiehandboken 06/07 del 4 - KTH

KTH Studiehandbok 2006-2007
Differentialkalkyl i flera variabler: En orientering om funktioner av flera
variabler och deras användning i ekonomiska modeller, innefattande något om
partiella derivator, differentierbarhet, Jacobimatris, gradient och
riktningsderivata och eventuellt också något om optimering av funktioner av
flera variabler
Linjär algebra: Linjära ekvationssystem, matriser, determinanter, vektorer,
invers matris, något om linjära avbildningar
Förkunskaper
Gymnasiets kurs Matematik C
Kursfordringar
Kontinuerlig examination och en tentamen (TEN1; 6p). Utformningen av den
kontinuerliga examinationen bestäms av kursansvarig lärare
Kurslitteratur
Meddelas vid kursstart. Preliminärt används Hoy et al: Mathematics for
economics eller Sydsaeter et al: Essential mathematics for economic analysis
• See how mathematics can be
used in economical models
Syllabus
Basic one-variable calculus: functions
and economical models. Elementary
functions, especially polynomials,
exponential functions and logarithms.
Continuity, derivative, rules of
derivation. Applications of derivatives,
especially extreme value problems.
Taylor’s formula. Some simple facts of
sequences and series.
Beginning multivariable calculus: some
simple facts of functions of severable
variables and their role in economical
modelling, including partial derivatives,
differentiability, Jacobi matrix, gradient,
directional derivative and an orientation
about optimization in several variables
may be included.
Linear algebra: Linear systems of
equations, matrices, determinants,
vectors, inverse matrix, an orientation
about linear transformations
Prerequisites
High school mathematics course C
Requirements
Continuous examination and an exam
(TEN 1; 6p). The nature of the
continuous examination will be decided
on by the teacher
Required Reading
Will be specified at the beginning of the
course. A preliminary choice would be
Hoy et al: Mathematics for economics.
Or Sydsaeter et al: Essential
mathematics for economic analysis
5B Matematik 175