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Mathematics 2 for the TMUA

Advanced mathematics: functions, coordinate geometry, sequences, trigonometry, and calculus.

36 topics across 8 areas, each a full lesson with worked examples.

Algebra and functions

7 topics
  1. Laws Of Indices For Rational ExponentsMM1.1
  2. Use And Manipulation Of SurdsMM1.2
  3. Quadratic Functions And GraphsMM1.3
  4. Simultaneous Equations SubstitutionMM1.4
  5. Solution Of Linear And Quadratic InequalitiesMM1.5
  6. Polynomial Algebra And TheoremsMM1.6
  7. Function Mappings And Common GraphsMM1.7

Coordinate geometry in the (x,y)-plane

3 topics
  1. Coordinate Geometry Straight LinesMM3.1
  2. Equation Of A CircleMM3.2
  3. Coordinate Geometry Circle PropertiesMM3.3

Differentiation

3 topics
  1. Differentiation Gradient Rate Of ChangeMM6.1
  2. Differentiation Rational PowersMM6.2
  3. Applications Of DifferentiationMM6.3

Exponentials and logarithms

3 topics
  1. Exponential Functions And GraphsMM5.1
  2. Laws Of LogarithmsMM5.2
  3. Solving Exponential And Logarithmic EquationsMM5.3

Graphs of functions

4 topics
  1. Graphs Of FunctionsMM8.1
  2. Graph TransformationsMM8.2
  3. Linear Graphs M And CMM8.3
  4. Graphs Of Quadratic Functions Vertex FormMM8.4

Integration

6 topics
  1. Definite Integration Area Between Curve AxisMM7.1
  2. Integration BasicsMM7.2
  3. Fundamental Theorem Of CalculusMM7.3
  4. Combining Definite IntegralsMM7.4
  5. Trapezium Rule ApproximationMM7.5
  6. Solving Simple Differential EquationsMM7.6

Sequences and series

4 topics
  1. Sequences And SeriesMM2.1
  2. Arithmetic Sequences And SeriesMM2.2
  3. Geometric Series SummationMM2.3
  4. Binomial Expansion Integer PowersMM2.4

Trigonometry

6 topics
  1. Trigonometry Sine Cosine RulesMM4.1
  2. Radian Measure Arc Length Area SectorMM4.2
  3. Exact Trigonometric ValuesMM4.3
  4. Trigonometric Functions Graphs SymmetriesMM4.4
  5. Fundamental Trigonometric IdentitiesMM4.5
  6. Solving Trigonometric EquationsMM4.6