TY  - BOOK
AU  - Abbott P.
AU  - H. Marshall
TI  - National certificate mathematics
SN  - 340048077
U1  - 510  20
PY  - 1960///
CY  - London
PB  - The english universities press
KW  - Mathematics
N1  - Content

INDICES AND LOGARITHMS
The index notation 
Laws of indices 
Fractional and negative indices
Meaning of a logarithm
Laws of logarithms

LOGARITHMS TO OTHER BASES THAN
Meaning 
General relation between logarithms of a number to two different bases
Naperian logarithms
Relation to common logarithms

QUADRATIC EQUATIONS
Methods of solution 
Imaginary roots 
Simultaneous quadratics 

MENSURATION 1
Areas of plane rectilinear figures 
Formula for area of triangle 
Regular polygons
Irregular rectilinear figures
Areas of irregular curved figures by trapezoidal, mid-ordinate and simpson's rules
Volumes of irregular solids

MENSURATION II
The circle
Intersecting chords and their properties 
Area of sector and of segment
Angular velocity

MENSURATION III
Area and volume of prism and cylinder
Volume of frustum
Area and volume of pyramid and cone
Area and volume of frustum
Area and volume of sphere

PROGRESSIONS
Meaning of a series 
Arithmetic series 
Geometric series 
Sum of n terms 
Approach to infinity
Sum to infinity

THE TRIGONOMETRICAL RATIOS
Sines of angles up to 360
Negative angles
The sine graph 
Cosines of angles up to 360
The cosine graph
Tangents of angles up to 360
Well-known identities
Trigonometrical functions

SOLUTION OF TRIANGLES
Sine rule
The ambiguous case
Cosine rule

THE ADDITION FORMULA 
Expansions of sin (A +B), cos (A+B) 
Ratios of multiple and sub-multiple angles
Trigonometrical equations

THE PLOTTING OF MORE DIFFICULT GRAPHS
Recapitulation of previous work 
Graphs of cubic expressions
Alternative methods
The graphs of y = x(x-a) (x-b), y= ax3 + bx2 + cx +d
The graphs of y=3.5x2.8, y=3

DETERMINATION OF LAWS 
The linear law 
Laws other than linear and their reduction to a straight line 

THE BINOMIAL THEOREM
Meaning of binomial expression 
Simple expansions of (a + b)
Expansion of (a + b)n 

FUNCTIONS-RATE OF INCREASE - DIFFERENTIATION 
Meaning of function 
Dependent and independent variables
Functional notation 
Gradient and slope 
Gradient of straight line 
Gradient of a curve
Velocity at a point
Differentiation from first principles
Differential coefficient
Differentiation of simple functions
Differentiation of y = axn
Differentiation of a sum
Velocity and acceleration by differentiation 

MAXIMA AND MINIMA
The sign of the differential coefficient 
Stationary values 
Turning points 
Maximum and minimum points 
Application to practical problems





; Include Bibliography and index
ER  -