# ICWAI Foundation Syllabus - Business Mathematics and Statistics Fundamentals

**1. Arithmetic 10%**

a) Average,
mixtures, Ratios and proportions, Computation of interest, Discounting of bills

**2. Algebra 15%**

b)
Real and imaginary number, rational and
irrational number, Set theory and simple application of Venn diagram

Truth table and its applications, Indices and surds, Variation, Logarithms

Truth table and its applications, Indices and surds, Variation, Logarithms

c)
Permutations and Combinations, Compound
interest

d)
Linear simultaneous equations (3 variables
only), Quadratic equations, Solution of linear inequalities (by geometric
method only)

**3. Mensuration 15%**

Area and
perimeter of triangles, circles, parallelogram, regular polygon Volume and
surface of cube, prism, cylinder, pyramid, cone, and spheres (including zone
and segments)

**4. Co-ordinate Geometry 10%**
Plain
co-ordinate Geometry ( Rectangular Cartesian co-ordinates only Length of line
segments, Section ratio, Gradient of a line, equation of straight line,
Circles, parabola, ellipse and hyperbola ( standard forms only)

**5.Calculus 15%**
a)
Constant &Variables, Functions, Limit
& Continuity,

b)
Differentiability & Differentiation,
Derivatives and their use, Successive & partial differentiation, Maxima
& Minima, Maxima & Minima under constraint using Lagrange transform

c)
Indefinite Integrals: as primitives,
integration by substitution, integration by part

d)
Definite Integrals: Evaluation of standard
integrals, as area under curve Applications of Calculus

**6. Statistical Methods 35%**

a)
Data tabulation and presentation,
frequency distribution

b)
Measures of Central Tendency (Mean,
Median, mode)

c)
Measurement of Dispersion (range, mean
deviation, standard deviation, variance)

d)
Measures of Skewness & kurtosis