BUSINESS MATHEMATICS AND STATISTICS
SYLLABUS FOR HIGHER SECONDARY FINAL YEAR COURSE
AHSEC CLASS 12 SYLLABUS 2021-22
One
Paper - Three Hours-Marks 100
Unit wise Distribution of Marks and Periods:
Unit
No. |
Title |
Marks |
Periods |
|
GROUP-A : COMMERCIAL MATHEMATICS (60 Marks) |
|
|
Unit-1 Unit-2 Unit-3 |
Simple and Compound Interest Linear inequalities a) Set
Theory b) Determinants c) Matrices |
15 25 20 |
30 50 40 |
|
GROUP
- B : STATISTICS (40 Marks) |
|
|
Unit-4 Unit-5 Unit-6 |
Statistical Average Positional measures Measures of Dispersion (Variation) a) Probability b) Correlation |
12 12 16 |
25 25 30 |
|
Total |
100 |
200 |
Unit wise
Distribution of Course contents:
GROUP-A:
COMMERCIAL MATHEMATICS (60 Marks)
Unit-1: Simple and Compound Interest:
a)
Simple and Compound Interest
b)
Annuity
Unit-2: Linear inequalities:
a)
Linear inequalities
and their graphical representation,
b)
Permutation & Combination (Elementary ideas and
simple problems),
c)
Mathematical
Induction (Simple problems),
d)
Binomial Theorem for positive Integral Index (Omit
Binomial Co-efficient)
Unit-3 : (a) Set Theory: (Elementary Ideas), Elements,
Types of Sets, Subsets (Proper and improper), Union, Intersection and
Difference of Set, Complement of Set, Venn Diagram, Application of Sets (Simple
Problems)
(b) Determinants: (Up to 3rd order),
Meaning, Properties
and Simple problems, Solution of equation by Cramer’s Rule
(c) Matrices: Definition and type of
Matrices, Equality of Matrices, Addition, Subtraction, Scalar Multiplication
and Matrix Multiplication, (Adjoint and Inverse matrices should be excluded)
GROUP -
B: STATISTICS (40 Marks)
Unit-4: Statistical Average:
Meaning, Purpose, Measures, Mean (A.M. G.M. H.M.), Median, Mode
(For all series), their uses, merits and demerits, essential qualities of a
good average.
Positional measures: Quartiles,
Deciles, Percentiles, Graphic method of location of
median, of quartiles and mode
Unit-5: Measures of Dispersion (Variation):
Meaning, objects and function – Measures: Range, Quartile
deviation, Mean deviation, Standard deviation (all series), Lorenz curve, their
uses, merits and demerits, Essential qualities of a good measure of dispersion,
Co-efficient of variation.
Unit-6: (a) Probability: Meaning, Definition
(Mathematical or Classical approach), Event, Trial, Random experiment, Equally
likely events, Mutually exclusive events, Favourable cases to an event.
[Numerical problems on definition of probability only. Addition
and multiplication theorem on probability should be excluded]
(b) Correlation: Meaning, types, Karl Pearson’s Correlation
Co-efficient (Numericals should be excluded) and its significance.
***
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