H645 learning checklist

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Specification clauses and resources
Reviewed	Topic and clause	Teaching	Selected practice	Assessment
Reviewed	Composite functions core · Assumed A-level Mathematics knowledge	Solving quadratic equations The factor theorem Composite functions Inverse functions Arithmetic series Geometric series Differentiating powers Tangents and normals Stationary points Trigonometric equations in intervals Linear sequence nth terms Sketching a curve from its derivative Lesson and examples	Solve a linear equation Quadratic equations Simultaneous equations Use the factor theorem Binomial coefficients Composite functions Inverse functions Restrict a quadratic inverse Arithmetic sequences Arithmetic series Finite geometric series Differentiate a polynomial Equation of a tangent Equation of a normal Find a stationary point Non-linear simultaneous equations Trigonometric equations in an interval Gradient with a negative integer power Complete factorisation of a cubic	Select this course to see available tests Make a practice test
Reviewed	Matrix multiplication core · Matrices	Matrix multiplication Determinants and singular matrices Inverse matrices Lesson and examples	Multiply two matrices Determinants Inverse of a matrix A parameter that makes a matrix singular	Select this course to see available tests Make a practice test
Reviewed	Complex number arithmetic core · Complex numbers	Complex arithmetic Modulus and argument De Moivre and complex roots Complex loci Lesson and examples	Multiply complex numbers Divide complex numbers Recover a real quadratic Powers of a complex number All arguments of complex roots An Argand perpendicular bisector Intersecting an Argand circle and line	Select this course to see available tests Make a practice test
Reviewed	Proof by induction core · Proof	Proof by induction	An induction step The algebra in a telescoping induction step	Select this course to see available tests Make a practice test
Reviewed	Sums of powers core · Further algebra	Sums of integer powers	Divide polynomials	Select this course to see available tests Make a practice test
Reviewed	Integration methods core · Further calculus	Integration and exact area Maclaurin series	Definite polynomial integrals Maclaurin polynomials A logarithm Maclaurin expansion A negative-power binomial expansion An exact integral of an even sine power	Select this course to see available tests Make a practice test
Reviewed	Areas in polar coordinates core · Polar coordinates	Areas in polar coordinates	Area of a polar circle Area of a limaçon Area of one polar rose petal Area swept by a polar spiral	Select this course to see available tests Make a practice test
Reviewed	Hyperbolic functions core · Hyperbolic functions	Hyperbolic functions	Exact hyperbolic values Recovering e^x from a hyperbolic value Hyperbolic double angles	Select this course to see available tests Make a practice test
Reviewed	First order differential equations core · Differential equations	First order differential equations	Exponential differential equations Second-order differential equations A differential equation with a repeated root A polynomial particular integral A first-order equation with a forcing term	Select this course to see available tests Make a practice test
Reviewed	Scalar products and vector geometry core · Vectors	Scalar products and angles	Scalar products Find a point on a line Intersecting a line and a plane The closest point on a line	Select this course to see available tests Make a practice test
Reviewed	Binomial probabilities Y422 · Discrete random variables	Binomial probabilities Expectation of a discrete random variable Lesson and examples	Binomial probability Expected value	Select this course to see available tests Make a practice test
Reviewed	Binomial probabilities Y432 · Discrete random variables	Binomial probabilities Expectation of a discrete random variable Lesson and examples	Binomial probability Expected value	Select this course to see available tests Make a practice test
Reviewed	Shortest paths Y433 · Modelling with algorithms	Shortest paths with Dijkstra’s algorithm	Shortest paths A minimum spanning tree	Select this course to see available tests Make a practice test
Reviewed	Momentum and impulse Y421 · Momentum and impulse	Momentum and impulse	Conservation of momentum A one-dimensional collision with restitution	Select this course to see available tests Make a practice test
Reviewed	Momentum and impulse Y431 · Momentum and impulse	Momentum and impulse	Conservation of momentum A one-dimensional collision with restitution	Select this course to see available tests Make a practice test
Reviewed	Constant acceleration Y421 · Assumed A-level Mathematics mechanics knowledge	No lesson yet Lesson and examples	Constant acceleration	Select this course to see available tests Make a practice test
Reviewed	Constant acceleration Y431 · Assumed A-level Mathematics mechanics knowledge	No lesson yet Lesson and examples	Constant acceleration	Select this course to see available tests Make a practice test
Reviewed	Partial fractions core · Further calculus prerequisites	Partial fractions	Partial fractions	Select this course to see available tests Make a practice test
Reviewed	Linear recurrence calculation Y435 · Recurrence relations	No lesson yet	Linear recurrence	Select this course to see available tests Make a practice test
Reviewed	One Newton-Raphson iteration Y434 · Numerical methods	Newton-Raphson iteration Bisection and root brackets	One Newton–Raphson step One bisection step	Select this course to see available tests Make a practice test
Reviewed	Eigenvalues of a 2 × 2 matrix Y435 · Matrices	Eigenvalues and eigenvectors	Eigenvalues of a matrix An eigenvector component Eigenvalues of a non-triangular matrix An eigenvector of a non-triangular matrix A matrix power acting on a vector	Select this course to see available tests Make a practice test
Reviewed	A one-sided binomial critical region Y422 · Hypothesis tests	No lesson yet Lesson and examples	A binomial critical region	Select this course to see available tests Make a practice test
Reviewed	A one-sided binomial critical region Y432 · Hypothesis tests	No lesson yet Lesson and examples	A binomial critical region	Select this course to see available tests Make a practice test
Reviewed	Conditional probability Y422 · Probability	No lesson yet	Conditional probability	Select this course to see available tests Make a practice test
Reviewed	Conditional probability Y432 · Probability	No lesson yet	Conditional probability	Select this course to see available tests Make a practice test
Reviewed	Critical path in an activity network Y433 · Networks	No lesson yet	Critical path duration	Select this course to see available tests Make a practice test
Reviewed	A geometric waiting-time probability Y422 · SR16–R17 Geometric distributions	Expectation of a discrete random variable	A geometric waiting-time probability	Select this course to see available tests Make a practice test
Reviewed	A geometric waiting-time probability Y432 · SR16–R17 Geometric distributions	Expectation of a discrete random variable	A geometric waiting-time probability	Select this course to see available tests Make a practice test