Sulphur

Properties of group VIA elements
Electron configuration of sulphur
Meaning of allotropy
Allotropes of sulphur
Uses of sulphur
Common compounds of sulphur
Oxidation states of sulphur in its major compounds
Industrial preparation of H2SO4 by the contact process
Uses of H2SO4

Nitrogens

General properties of group VA elements
Laboratory preparation of nitrogen
Industrial preparation of nitrogen from liquid air
Properties of nitrogen
Uses of nitrogen
The oxides of nitrogen
Nitrogen cycle.
Huber process for the preparation of ammonia
Uses of ammonia

Nitrogens

General properties of group VA elements
Laboratory preparation of nitrogen
Industrial preparation of nitrogen from liquid air
Properties of nitrogen
Uses of nitrogen
The oxides of nitrogen
Nitrogen cycle.
Huber process for the preparation of ammonia
Uses of ammonia

Dynamics

State Newtons laws of motion
Explain clearly each of the laws
Apply Newtons laws to practical problems
Solve problems on motion along on inclined plane
Work down equations of motion of connected particles
Explain the concepts of work, energy and power
Solve problems on work, energy and power
Solve problems on impulse and momentum
Understand the concept of projectiles
Solve problems on motion of projectiles

Dynamics

State Newtons laws of motion
Explain clearly each of the laws
Apply Newtons laws to practical problems
Solve problems on motion along on inclined plane
Work down equations of motion of connected particles
Explain the concepts of work, energy and power
Solve problems on work, energy and power
Solve problems on impulse and momentum
Understand the concept of projectiles
Solve problems on motion of projectiles

Probability

Understand the frequential, classical and axiomatic approach 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.

Conic section: the circle

Define a circle
Explain why circles can be regarded as a conic section
Find equations of a circle given radius and center
Find the equation of a tangent to the circle
Find length of tangent to circle from extended point

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)

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

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