General Mathematics flashcards

148 QCE General Mathematics cards across 2 modules (40 definitions, 52 key facts, 26 fill-the-gap, 30 formulas). Each session gives you 20 cards, due cards first. Swipe right for easy, left for hard, down for again. Keyboard: Space to flip, 1 to 4 to rate.

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What this deck covers

Unit 3: Bivariate data and time series analysis, sequences and Earth geometry (70 cards, 12 dot points)
Unit 4: Investing and networking (78 cards, 14 dot points)

Sample cards from this deck

Definition
Association and causation: QCE General Mathematics Unit 3 Bivariate data analysis 2
Define Causation
Causation means that a change in one variable produces a change in the other. Causation always produces an association, but an association can arise without any causation at all. So an association, however strong, cannot by itself prove causation.
Definition
Annuities and superannuation: the future value of an annuity (QCE General Mathematics Unit 4)
Define Accumulation
Regular contributions over a working life build a balance: $A_{FV} = d\left(\frac{(1 + i)^n - 1}{i}\right)$ .
Definition
Bivariate data analysis and correlation (QCE General Mathematics Unit 3)
Define Strength
How closely the points follow the pattern: strong, moderate or weak. If there is no pattern at all, say there is no association.
Definition
Assignment problems and the Hungarian algorithm (QCE General Mathematics Unit 4)
Define Row reduction
Subtract the smallest entry in each row from every entry in that row.
Definition
Data transformation and linearisation (QCE General Mathematics Unit 3 extension)
Define Data transformation
Data transformation is the standard fix: change the scale of one variable (square it, take its logarithm, or take its reciprocal) so that the scatter becomes straight, then fit and use a least-squares line on the new scale.
Definition
Comparing investments and effective interest rates (QCE General Mathematics Unit 4)
Define The gains shrink quickly
Going from annual to six-monthly adds 0.09 percentage points; going from weekly to daily adds only 0.003. That is why a slightly higher nominal rate with less frequent compounding often beats a lower nominal rate with more frequent compounding.
Definition
Depreciation models in sequences (QCE General Mathematics Unit 3)
Define Constant difference
Constant difference (subtract consecutive values): arithmetic, straight-line depreciation. The difference is the yearly loss.
Definition
Compound interest loans and investments: QCE General Mathematics Unit 4 Loans, investments and annuities 1
Define Interest rate
Rearrange to $(1 + i)^n = \dfrac{A}{P}$ and take the $n$ th root: $1 + i = \left(\dfrac{A}{P}\right)^{1/n}$ . If $8000 grows to $9500 in 4 years compounding annually, $1 + i = (1.1875)^{1/4} \approx 1.0439$ , a rate of about 4.39% p.a. If the compounding is monthly, the root gives the monthly rate; multiply by 12 for the nominal annual rate.
Definition
Latitude, longitude and great-circle distances (QCE General Mathematics Unit 3)
Define Latitude
Latitude is the angle north (N) or south (S) of the equator, measured at the centre of the Earth, from $0\degree$ at the equator to $90\degree$ at the poles. Lines of equal latitude are parallels.
Definition
Critical path analysis and scheduling (QCE General Mathematics Unit 4)
Define LST
LST is the latest time at its end node minus its duration. Take the minimum because the node must be reached in time for every activity that leaves it. The start node's latest time should come back to 0; if it does not, there is an arithmetic slip.