This website uses cookies to ensure you get the best experience on our website. Learn more

Mathematics Notes Quantitative Methods - Mathematics (MA107) Notes

Ma107 Formulas Notes

Updated Ma107 Formulas Notes

Quantitative Methods - Mathematics (MA107) Notes

Quantitative Methods - Mathematics (MA107)

Approximately 5 pages

Formula sheet with all necessary formulas for exam and step-by-step methods on how to answer specific types of questions (e.g. how to solve a second order differential equation). ...

The following is a more accessible plain text extract of the PDF sample above, taken from our Quantitative Methods - Mathematics (MA107) Notes. Due to the challenges of extracting text from PDFs, it will have odd formatting:

MA107 Formulas TAX Excise Tax: qs(p) ---> qs(p - T) Percentage Tax: qs(p) ---> qs[p(1-r)] Maximum Tax for Market to Function: qT* > 0 (solve inequality) Revenue Maximising Tax Maximum Point on qT*(T) Incidence of Tax on Consumer Co-efficient of T in pT* RECURRENCE EQUATIONS General Form yt = ayt-1 + b Time-Independent Solution y* = b/(1-a) Substitute Into: yt = y* + (y0 - y*) at Interest P[(1 + r/m)m] n C(P) = Pern P(C) = Ce-rn where p is amount invested and C is capital growth Cobweb Model qt = qs(pt-1), pt = pd(qt) p* = c+a/b+d where qs(p) = bp - a, qd(p) = c - dp pt = p* + (p0 - p*)(-b/d)t Stability if b < d, if b = d cyclic |-b/d| < 1 --> oscillations decrease in magnitude DIFFERENTIATION Product Rule u'v + uv' Quotient Rule (u'v-uv')/v2 Chain Rule u'(v(x)) * v'(x) OPTIMISATION: APPLICATIONS Efficient Small Firm Profit Function Fixed Costs Startup Point Breakeven Point Marginal Cost ps(q) = C'(q) p(q) = qC'(q) - C(q) C(0) p(qs) = p(0) = -C(0) p=0 C'(q)

Buy the full version of these notes or essay plans and more in our Quantitative Methods - Mathematics (MA107) Notes.