Year 12 Maths Extension 2. A free paper for every topic.
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Year 12 Extension 2
5 topics, 107 subtopics
- Expressions for AccelerationComing soon
- Velocity and Acceleration in Terms of Displacement or VelocityComing soon
- Newton's Laws and F = mẍComing soon
- Resolving Forces and Vector ProjectionsComing soon
- Definition of SHM and the Restoring ForceComing soon
- Verifying Solutions of the SHM EquationComing soon
- Describing SHM: Amplitude, Period, Velocity and ForceComing soon
- Proving Motion Is Simple HarmonicComing soon
- Graphs of Displacement, Velocity and Acceleration in SHMComing soon
- Deriving and Using v² = n²[A² − (x − c)²]Coming soon
- SHM Equations from Initial ConditionsComing soon
- Modelling and Solving SHM ProblemsComing soon
- Equations of Motion Without ResistanceComing soon
- Motion on a Smooth Inclined PlaneComing soon
- Smooth Pulley SystemsComing soon
- Resisted Rectilinear Motion: Acceleration and Velocity–TimeComing soon
- Resisted Rectilinear Motion: Velocity–Displacement and Displacement–TimeComing soon
- Solving Rectilinear Resisted Motion ProblemsComing soon
- Vertical Resisted Motion: Equations of Motion and VelocityComing soon
- Vertical Resisted Motion: Displacement–TimeComing soon
- Terminal VelocityComing soon
- Vertical Resisted Motion: Greatest Height, Time of Flight and ReturnComing soon
- Trajectories With and Without ResistanceComing soon
- Resisted Projectile MotionComing soon
- Trigonometric Products as Sums and DifferencesComing soon
- Trigonometric Equations Using Products as SumsComing soon
- Integrals of Products of Sines and CosinesComing soon
- The t-Formulas and Trigonometric EquationsComing soon
- Integration by SubstitutionComing soon
- Integration Using the t-SubstitutionComing soon
- Partial Fraction DecompositionComing soon
- Integrating with Partial Fractions: Linear and Repeated FactorsComing soon
- Integrating with Partial Fractions: Irreducible Quadratic FactorsComing soon
- Completing the Square on a Quadratic DenominatorComing soon
- Rational Functions with Numerator Degree Not Less Than DenominatorComing soon
- Integration Using Algebraic ManipulationComing soon
- Integration by PartsComing soon
- Repeated Integration by PartsComing soon
- Deriving Recurrence RelationsComing soon
- Using Recurrence RelationsComing soon
- Theoretical Problems Using Multiple TechniquesComing soon
- Practical Problems Using Multiple TechniquesComing soon
- Vector Equations of LinesComing soon
- Direction Vectors, Gradient and Gradient–Intercept FormComing soon
- Lines Through Two Points and the Parameter λComing soon
- Parallel Lines, Points on Lines and CollinearityComing soon
- Intersection of Lines in Two DimensionsComing soon
- Intersecting and Skew Lines in Three DimensionsComing soon
- Vector Equations of CurvesComing soon
- Vector Equations of CirclesComing soon
- Spheres and Problems with Circles and SpheresComing soon
- Cartesian Equations and Graphs of Vector CurvesComing soon
- Properties of the Scalar ProductComing soon
- The Cauchy–Schwarz InequalityComing soon
- Medians, Altitudes and Bisectors in Vector ProofsComing soon
- Geometric Proofs Using VectorsComing soon
- The Number i and Quadratics with Complex RootsComing soon
- The Complex Number SystemComing soon
- Equality of Complex NumbersComing soon
- Adding, Subtracting and Multiplying Complex NumbersComing soon
- Complex Conjugate and ModulusComing soon
- Conjugate Relationships for Re(z), Im(z) and 1/zComing soon
- Dividing Complex NumbersComing soon
- Square Roots of Complex NumbersComing soon
- The Complex Plane, Argument and Principal ArgumentComing soon
- Converting Between Cartesian and Modulus–Argument FormComing soon
- Multiplication, Division and Powers in Polar FormComing soon
- Modulus and Argument IdentitiesComing soon
- Conjugate Identities and the Triangle InequalityComing soon
- Quadratic Equations with Complex CoefficientsComing soon
- Conjugate Roots and the Conjugate Root TheoremComing soon
- Solving Polynomial Equations Using Conjugate RootsComing soon
- Proving de Moivre's TheoremComing soon
- Integer Powers Using de Moivre's TheoremComing soon
- Trigonometric Identities from de Moivre's TheoremComing soon
- Roots of Unity and the nth Roots of −1Coming soon
- The nth Roots of a Complex NumberComing soon
- Complex Numbers as Vectors: Addition and SubtractionComing soon
- Rotation and Dilation on the Complex PlaneComing soon
- Proving Geometric Results with Complex NumbersComing soon
- Problems and Proofs Using nth RootsComing soon
- Lines in the Complex PlaneComing soon
- Circles in the Complex PlaneComing soon
- Rays in the Complex PlaneComing soon
- Regions in the Complex PlaneComing soon
- Loci Using Circle GeometryComing soon
- Statements, Connectives and NegationComing soon
- Implications and ConversesComing soon
- Quantified StatementsComing soon
- Negating Compound and Quantified StatementsComing soon
- Equivalence and If and Only IfComing soon
- Writing and Testing the ContrapositiveComing soon
- Proof by ContrapositiveComing soon
- Proof by ContradictionComing soon
- Examples, Counterexamples and Proofs with IntegersComing soon
- Inequalities from the Definition and Order PropertiesComing soon
- Inequalities Using Squares and Known ResultsComing soon
- The Triangle InequalityComing soon
- The AM–GM InequalityComing soon
- Inequalities in GeometryComing soon
- The Squeeze TheoremComing soon
- Proving Inequalities Using Calculus and GraphsComing soon
- Proving Identities by Mathematical InductionComing soon
- Proving Inequalities by Mathematical InductionComing soon
- Proving Calculus Results by Mathematical InductionComing soon
- Recursive Formulas and InductionComing soon
- Proving Geometric Results by InductionComing soon
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