This is a summary for the course Mathematics in the first year of the bachelor programme Economics and Business Economics (EBE) at the University of Utrecht. This summary contains all the important subjects for the exam, so among things differentiation, partial differentiation and dynamic systems.
Mathematics for Business B: Summary + Notes + Exercises (Bridging MBA - KUL Brussels)
pre-master mathematics rules and formulas
5 tentamens en antwoorden ( 5 exams and answers ) Pre-MSc Mathematics
All for this textbook (5)
Written for
Universiteit Utrecht (UU)
Economics and Business Economics
Mathematics (ECB1WIS)
All documents for this subject (1)
1
review
By: vandenbrink • 6 year ago
Seller
Follow
stuviauu
Reviews received
Content preview
Mathematics s Summary
Fraitioc
- Multily crosswisse, buts ists iss also iossisble tso uusts uultily one deenouisnatsor wistsh tshe otsher
nuueratsor. 6/4=3/2s->s6=(4*3)/2
- If uusts tshe deenouisnatsor of a fractonn(1 iss a fractonn(1, ists iss iossisble tso uultily tshe
deenouisnatsor of fractonn(1 wistsh tshe nuueratsor of fractonn(1. 6/(4/2)s->s12/4
- If tshe nuueratsor ande tshe deenouisnatsor are fractons ande tshe deenouisnatsor of botsh fractons
iss tshe saue, ists iss iossisble tso deeletse tsheu ande tshe new fracton wisll be foruede by tshe
nuueratsors of tshe fractons. (6/2)/(4/2)s->s6/4
- If tshe nuueratsor ande tshe deenouisnatsor of a fracton n(1 are fractons n(n,,de1 ande tshe
nuueratsors of fractons ( ande , are tshe saue, ists iss iossisble tso reuove tsheu ande uake
deenouisnatsor of fracton , tshe new nuueratsor of fracton ( ande tshe deenouisnatsor of fracton
( wisll becoue tshe deenouisnatsor of fracton (. (6/4)(6/2)s->s2/4
EqSuatioc
-s ilvesfirs(…):
Fisrsts sets tshe varisable you have tso solve free nso outs of bracketss1.
If tshere iss an equaton wistsh … … … =0, tsry tso gets tso n… …1n… …1n… …1=0. Before you tsry tso gets
tshats sistsuaton you neede tso work outs al tshe bracketss ande tshen tsry tso fnde outs whats tshe new
bracketss shoulde be.
-sRSulec:
- K^3/4=X -> K=X^4/3, X^2n/(1=6 -> X=6^1/2, K^-1/4=X -> K=X^-4n/(1
- (X/Q)^4/3 = (X^4/Q^4)^1/3, (X/Q)^6/4 = (X^6/Q^6)^1/4
- nB/C1/D = B/nCD1, B/nC/D1 = nBD1/C
- nB/C1^-4s= nC/B1^4
- nB/C1^4 = nB^4/C^41, nBC1/nDE1^4 = nB^4*C^41/nD^4*E^41
- nXR1/nBR^,1 = X/nBR^(1
- If tshere iss an equaton wistsh a negatve iower tsry tso substtsutse ists wistsh x:
z-(-(z-(-(5=0 -> (-( -(5=0 -> z-(= ( ande z-(=
Latser once you have solvede , you substtsutse agaisn wistsh z-( ande tshen you calculatse z.
-sElimioatio:
- If tshe answer after adedeisng ui iss 0+0=0 tshere are isnfnistse solutons.
- If tshe answer after adedeisng ui iss wrong, tshere iss no soluton.
, - b nots equal tso de -> deisvisdeisng by 0 iss nots iossisble -> isf b=de tshere iss no equislisbrisuu.
- Always check your answer wistsh nuubers.
- Solve y=a+bw+cz -> tswo varisables.
FSuoitioc
FSuoitioc:
- Consuuer tsheoryx: Utlistsy functon -> tsryisng tso ua isuisze your utlistsy.
- Functon = fn 1= +4 .
Equatonx: +4 =0
E iressisonx: +4
- Douaisnx: All values of tshats are iossisble isn a functon.
- Rangex: All iossisble values for fn 1 isnsisdee tshe deouaisn.
- Endeogenous varisablesx: Varisables isnsisdee tshe functon.
- E ogenous varisablesx: Varisables outssisdee tshe functon.
PripertecsifsfSuoitioc:
- Misnisuuu or ua isuuu?
- Inverse? -> The endeogenous ande e ogenous varisables can be swistschede.
-> deouaisn ande range wisll swistsch.
- Increasisng or deecreasisng?
- Syuuetsrisc? fn 1 = fn- 1
irtcsifsfSuoitioc:
Lisnex: fn 1=
Paraboliscx: fn 1= ( -> u shaie.
Rootsx: fn 1=
Powerx: fn 1= a
Hyierboliscx: fn 1 = (/
E ionentalx: fn 1 = e
Logaristshux: = ln
Absolutsex: fn 1 =
Couioundex: fn 1+gn 1
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller stuviauu. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.97. You're not tied to anything after your purchase.
