`These SmartGirl Study Notes Include:Summary of proofs (for Trigonometry & Euclidean Geometry)Algebra, Sequences & Series & Polynomials:	Revision of grade 11 concepts	Linear, Quadratic & Exponential Patterns	Arithmetic Series	Geometric Series	Geometric Series - sum to infinity	Sigma notation	Practical Applications of Sequences & Series	PolynomialsTrigonometry & Trig graphs:	Revision of basic trigonometry	Summary of grade 11 concepts: trig identities, reduction formulae, special angles & specific & general solutions	Trig graphs	Compound angles	Double angles	Using double angles with identities	General & specific solutions with double & compound angles	Equations with compound & double angles	Restrictions on identities & equations	Trigonometry in 3 dimensionsFunctions:	Parabolas	Hyperbolas	Exponential Functions	Functions & Inverse Functions	Exponential & Log functionsProbability & Statistics:	Notation	Mutually exclusive events, complementary events, independent & dependent events	The product rule & the addition rule	Venn diagrams, tree diagrams & contingency tables	The fundamental counting principle (includes examples)	Five number summaries & percentiles	Histograms & Frequency polygons	Variance & standard deviation	Ogives	Normal distribution, symmetrical & skewed data	Scatter plots	Regression lines	Correlation coefficients	Interpolation & extrapolationEuclidean & Analytical Geometry:	Grade 11 Revision of Analytical Geometry Formulas	Equations of circles	Tangents to a circle	Problem solving with circles	Summary of basic Euclidean geometry concepts (from grade 8 - 10)	Summary of circle geometry (grade 11)	Congruency	Similar polygons	The midpoint theorem	The proportionality theorem	Equiangular triangles	Triangles with proportional sides & similarity	The Pythagorean theorem & similarity	Proofs	Summary of grade 12 theoremsFinancial Mathematics:	Simple growth and decay	Compound growth and decay	The effects of different compounding periods	Timelines (interest rate changes and additional withdrawals & deposits)	Nominal & Effective Interest Rates	Future Value Annuities	Present Value Annuities	Loan Values	Differing Final payments	Deferred Payments	Sinking Funds	Pyramid SchemesDifferential Calculus & Cubic Graphs:	Differential Calculus	Limits	First Principles	Rules of Differentiation	Differentiation shortcut	Gradient at a point	Equation of a tangent	Stationary points	Cubic graphs	Calculus & Problem solving`