UPPSALA UNIVERSITET
MATEMATISKA INSTITUTIONEN
Richard Miles
Baskurs i matematik, 5 hp
Höstterminen 2015
Nyckelord i Richard Miles föreläsningar
Föreläsning Nyckelord
Keywords
1
naturliga tal, rationella tal, irrationella tal,
natural numbers, rational numbers, irrational
reella tal, delmängd, intervall, absolutbelopp numbers, real numbers, subset, interval,
absolute value
2
polynom, gradtal, rationella uttryck,
polynomial, degree, rational expression,
konjugat, diskriminant, kvadratkomplettering conjugate, discriminant, completing the
square
3
komplexa tal, komplexkonjugat, realdel,
imaginärdel
complex numbers, complex conjugate, real
part, imaginary part
4
talföljd, summa och produkt symboler,
aritmetiska och geometriska serier, fakultet
sequence, summation and product symbols,
arithmetic and geometric series, factorial
5
Induktion, basfall, induktionsantagande,
induktionsprincip
induction, base case, induction assumption,
principle of induction
6
permutationer, kombinationer, fakultet,
Pascals triangel, binomialkoefficienter,
binomialsatsen, multiplikationsprincipen
permutations, combinations, factorial,
Pascal's triangle, binomial coefficients,
binomial theorem, multiplication principle
7
polynom, gradtal, polynomdivision, delare,
kvot, rest, restsatsen, faktorsatsen
polynomial, degree, polynomial division,
divisor, quotient, remainder, remainder
theorem, factor theorem
8
algebrans fundamentalsats, faktorsatsen,
konjugatpar
fundamental theorem of algebra, factor
theorem, conjugate pair
9
koordinatsystem, avståndsformeln, kurvor i
planet, funktion av 2 variabler, cirkel, ellips
coordinate system, distance formula, planar
curves, function of 2 variables, circle, ellipse
10
parabel, styrlinje, brännpunkt, normal,
symmetrilinje, avbildning
parabola, directrix, focus, normal, axis of
symmetry, transformation
11
radianer, sinus, cosinus, generell lösning,
periodisk, principala värdet, enhets cirkel,
invers funktion
radians, sine, cosine, general solution,
periodic, principal value, unit circle, inverse
function
12
Komplexa talplanet, absolutbeloppet, Argand komplex plane, absolute value, Argand
diagram, argument, polär form
diagram, argument, polar form
13
de Moivres formel
de Moivre's formula
14
Potens, exponent, rötter, irrationellt tal, bas,
logaritmer
Power, exponent, roots, irrational number,
base, logarithms
15
Exponential- och logaritmekvationer
Exponential and logarithm equations
16
komplexa tal i potensform, binomiska
ekvationer
powers and n-th roots of complex numbers,
binomial equations
