GCE Core Mathematics 2

GCE Core Mathematics 2

1. Algebra & functions

   • Divide polynomial
   • Factor Theorem
   • Remainder theorem

2. The sine & cosine rule

   • Sine Rule
   • 2 Solutions
   • Cosine
   • Trigonometric ratios
   • Pythagoras' theorem
   • Area

3. Exponentials & logarithms

   • Power
   • Logarithm
   • Base 10 using calculators
   • Law of logarithms
   • ax = b
   • Base of logarithm

4. Coordinate geometry in the (x,y) plane

   • Mid-point
   • Perpendicular
   • Distance
   • Equation of Circle
   • Chord
   • Tangent

5. The binomial expansion

   • Pascal's triangle
   • Factorial notation
   • Binomial theorem

6. Radian measure & its applications

   • Radian
   • Length of arc
   • Area of sector
   • Area of segment

7. Geometric sequences & series

   • Geometric Sequence
   • Sum of geometric series
   • Sum of infinity of geometric series

8. Graph of trigonometric functions

   • Trigonometric functions
   • Quadrants
   • Graphs of sin, cos, tan
   • Transformations on graphs of sin, cos, tan

9. Differentiation

   • Increasing & decreasing functions
   • Stationary Points
   • Apply knowledge to solve problems

10. Trigonometrical identities & simple equations

11. Integration

    • Area beneath curve
    • Area between line & curve
    • Trapezium rule