Probability (II)
Understand the frequential, classical and axiomatic approaches to probability
Define some terms used in probability (e.g random experiment, sample space, events e.t.c)
Solve problems on dependent and independent events
Solve problems on complements of events. Solve problems on conditional probability.
Understand and use probability trees in solving problems.
Trigonometry
At the end of this lesson, the students should be able to understand Trigonometry
Calculus_Differentiation I
At the end of this lesson, the students should be able to understand Calculus_Differentiation
Calculus_Differentiation II
At the end of this lesson, the students should be able to understand Calculus_Differentiation
Differentiation (ii)
Find limits of a function at a given point
Differentiation from first principle
Differentiating polynomials
Differentiation of special functions like sin x, cos ax, ax
Use rules of differentiation
apply differentiation.
Differentiation(i)
Find limits of a function at a given point
Differentiation from first principle
Differentiating polynomials
Differentiation of special functions like sin x, cos ax, ax
Use rules of differentiation
apply differentiation.
Binomial expansion
Construct the pascal triangle
Write out the binomial expansion for (a+b)n for positive integer, negative integers and fractional values
Apply the binomial expansion to evaluating the power of number e.g (1.06)
Trigonometry functions
Know the six important trigonometric functions of angles of any magnitude
Identify range and dimension of trigonometric ratios
Drawing of graphs of trigonometric ratios
Identifying relationships between graphs of trig ratios e.g sin x and sin 2x graphs
Inverse trigonometric ratios
Solution of equation of trigonometric ratios
Proof of simple trigonometric identities
Logical reasoning ii
Understand basic issues in intelligent system
Give basic definitions of intelligent system
Understand modelling of the world
Learn about propositional and predicate logical resolution
Give introduction to proving of theorem
Polynomials
Define polynomials
Divide a polynomial by a polynomial of lesser degree
Use remainder theorem
Find factor of polynomials
Use roots of the cubic equation to solve a problem on cubic equations
Roots of quadratic equation
Find sum and products of roots of quadratic equation
Form quadratic equation given sum and products of roots
State condition for the quadratic equation to have equal roots, real roots and no roots
Identify related conditions for the given line to intersect a given curve, be tangent to curve, not intersect curve
Solve various types of problems on roots of quadratic equations
Models
Distinguish the models of operations research
Solve practical problems which involve the models
History and nature of operation research
Define operations research
Give the history and nature of operations research
Vectors in two dimension
State the difference between vectors and scalars
Perform simple operations on vectors
Determine the sum, difference of any combination of vectors lying in a plane
Resolve a vector in a given direction
Define the scalar (dot) product and its application
Measures of dispersion
Identify and calculate the measures of dispersion
Measures of location
Students should be able to :
Determine the measures of location of data
The straight line (ii)
Determine the mid-point of a line segment
Determine the gradient of a straight line
Determine the distance between two points
Determine the condition for parallelism and perpendicularity
Determine the equation of a line in different forms
Transform non-linear relationships into linear forms
Determine the areas of triangles and quadrilaterals
The straight line (i)
Determine the mid-point of a line segment
Determine the gradient of a straight line
Determine the distance between two points
Determine the condition for parallelism and perpendicularity
Determine the equation of a line in different forms
Transform non-linear relationships into linear forms
Determine the areas of triangles and quadrilaterals
Sets(ii)
Define a set
Represent in set notation
Distinguish the types of sets
Carry out set operations
Draw and use Venn diagrams in solving real-life problems
More on Binary Operations
Define binary operation
Identify the different laws of binary operations
Draw multiplication table for a binary operation