Math Methods flashcards

181 QCE Math Methods cards across 4 modules (33 definitions, 88 key facts, 6 fill-the-gap, 54 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.

Loading flashcards…

What this deck covers

Sample cards from this deck

Definition
Functions and graphs: QCE Math Methods Unit 1 Year 11
Define Linear
$y = mx + c$ . Straight line, gradient $m$ , $y$ -intercept $c$ .
Definition
Chain, product and quotient rules for polynomial and power functions (QCE Math Methods Unit 2)
Define Chain rule
Differentiate the outer function, keep the inner function, then multiply by the derivative of the inner function.
Definition
Optimisation and rates of change (QCE Mathematical Methods Unit 3)
Define Identify and label
Draw a diagram. Define the variables. Identify what is to be maximised or minimised.
Definition
Area and kinematics applications of integration: QCE Maths Methods Unit 4
Define Compute averages, peak values, or time-to-reach thresholds
5. Discuss the model's limitations and refinements (boundary cases, real-world constraints not in the model).
Definition
Linear and quadratic functions (QCE Math Methods Unit 1)
Define Inequalities
Solve as equations, but reverse the inequality sign when multiplying or dividing by a negative number.
Definition
Exponential, logarithmic and trigonometric functions: QCE Math Methods Unit 2 Year 11
Define Transformations
$y = A\sin(B(x - C)) + D$ : amplitude $|A|$ , period $2\pi/|B|$ , phase shift $C$ , vertical shift $D$ .
Definition
The binomial distribution (QCE Mathematical Methods Unit 3)
Define B (Binary)
Each trial has two outcomes labelled success or failure.
Definition
Further differentiation and applications: QCE Maths Methods Unit 4
Define Differentiate both sides with respect to $x$
Use the chain rule on the left ( $\frac{d}{dx}(\ln y) = \frac{1}{y} \frac{dy}{dx}$ ) and the product / quotient rules on the right.
Definition
Index and log laws, polynomial equations: QCE Math Methods Unit 1 Year 11
Define Polynomial
Factor where possible. Find rational roots first; polynomial division for higher degree.
Definition
Exponential functions and their graphs (QCE Math Methods Unit 2)
Define Horizontal asymptote
Always $y = k$ (the value the function approaches as the exponent goes to negative infinity for $b > 1$ , or positive infinity for $b < 1$ ).