IB Analysis & Approaches
Course map expanded with calculus extensions, differential equations and advanced integration.
Functions
Domain, range, transformations and modulus functions.
FunctionsQuadratics
Parabolas, roots and vertex form.
AlgebraAlgebra and Polynomials
Binomial expansion, roots, rational functions and partial fractions.
SequencesSequences and Series
Arithmetic, geometric and infinite series.
TrigonometryTrigonometry
Bearings, non-right triangles and circular functions.
AA HLComplex Numbers
Argand diagrams, modulus, argument and roots.
VectorsVectors and 3D Geometry
Scalar products, cross products, planes and angles.
CalculusApplications of Differentiation
Stationary points, tangents, normals and optimisation.
CalculusIntegration
Indefinite and definite integrals.
AA HLAdvanced Integration
Substitution, trigonometric substitution and by-parts extensions.
CalculusDifferential Equations
Separable equations, Euler’s method and integrating factors.
ApplicationsKinematics with Calculus
Velocity, acceleration, displacement and distance.
ProbabilityProbability
Venn diagrams, tree diagrams and conditional probability.
StatisticsStatistics
Normal distribution, histograms, regression and chi-squared testing.