Flashcards and recall.

Try this with Specialist Mathematics

1. Write one prompt per card. Use definitions, explanations or examples from your current topic.
2. Answer aloud before turning the card. Split a card if it asks for several unrelated facts.
3. Set aside missed cards and revisit them in a later session.

View Specialist Mathematics resources on ATARMAXXING ↗

Recall topics

• De Moivre's Theorem — statement
• nth roots of unity — formula and count
• Conjugate Root Theorem — statement
• Mathematical Induction — template structure
• Dot product (scalar product) — formula
• Dot product — key properties
• Cross product — formula
• Cross product — key properties
• Scalar triple product — formula and interpretation
• Vector form of a line in R³
• Cartesian form of a line in R³
• Vector form of a plane in R³
• Cartesian form of a plane in R³
• Normal vector from Cartesian plane equation
• Condition for parallel vectors
• Condition for perpendicular vectors
• Equation of a sphere — standard form
• Distance from a point to a plane — formula
• Derivative of a vector function
• Integral of a vector function
• Velocity and acceleration from position vector
• Centripetal acceleration — formula
• Arc length of a curve in space
• Elementary row operations — types
• Row echelon form (REF) — definition
• Reduced row echelon form (RREF) — definition
• Gaussian elimination — purpose and outcome
• Rank of a matrix — definition
• Angle between two lines in R³
• Angle between a line and a plane — formula
• Integration by parts formula — state it.
• Tabular method for integration by parts — when to use and how.
• Standard integral: ∫ 1/(1+x²) dx
• Standard integral: ∫ 1/√(1−x²) dx
• Standard integral: ∫ 1/(x√(x²−1)) dx
• Partial fractions for distinct linear factors: decompose (Ax+B)/((x−a)(x−b))
• Partial fractions for repeated linear factors: decompose (Ax+B)/((x−a)²(x−b))
• Partial fractions for irreducible quadratic: decompose (Ax+B)/((x²+px+q)(x−r)) where x²+px+q has no real roots
• Disk method volume formula — rotating y=f(x) about x-axis from x=a to x=b
• Washer method volume formula — rotating between y=f(x) (outer) and y=g(x) (inner) about x-axis