Shree
G.K. & C. K. Bosamia College, Jetpur
Department
of Business Administration (BBA)
Semester
– I Programme
SYLLABUS
OF BUSINESS MATHEMATICS – I
(There will be 3 lectures per week for each
subject)
Prof. Usha Jogi
Unit |
Title |
Subtopics |
Book Reference |
Web Reference |
Approx. weight |
Approx. Duration (lectures) |
|
1 |
Variables,
Constants, Functions & graph of functions |
1 |
Definition |
Business Mathematics:
D. C. Sancheti & V. K. Kapoor (S. Chand & Sons) Business Mathematics:
B.S.Shah Publication |
http://cnx.org/content/m18719/latest/ |
3 |
1 |
2 |
Types of function |
2 |
|||||
3 |
Related examples |
2 |
|||||
4 |
Graphs for Linear,
Quadratic. |
http://www.mathwarehouse.com/system-of-equations/how-to-solve-linear-quadratic-system.php |
2 |
2 |
|||
5 |
Graphs for Exponential
and Logarithm |
http://www.sosmath.com/algebra/logs/log4/log42/log42.html |
2 |
2 |
|||
|
Total |
|
|
|
|
20% |
9 |
2 |
Limit
& Continuity |
1 |
Meaning of ‘X tends to
a’ |
Business
Mathematics: D. C. Sancheti & V. K. Kapoor (S. Chand & Sons) Business Mathematics:
B.S.Shah Publication |
http://www.goiit.com/posts/show/0/content-limits-and-continuity-804300.htm |
2 |
1 |
2 |
Right hand and left
hand limits |
2 |
|||||
3 |
Some fundamental
results on limits |
3 |
1 |
||||
4 |
Rule to evaluate the
limit of a function |
3 |
1 |
||||
5 |
Limit at Infinity and
infinite limits |
5 |
1 |
||||
6 |
Meaning of x tents to
∞ and -∞ |
2 |
|||||
7 |
Related examples |
5 |
2 |
||||
8 |
Continuity at a point,
Continuity in an interval |
5 |
2 |
||||
9 |
Properties of
continuous function |
5 |
1 |
||||
|
TOTAL |
|
|
|
|
20% |
9 |
3 |
Progression |
1 |
Definition |
Business
Mathematics: D. C. Sancheti & V. K. Kapoor (S. Chand & Sons) Business Mathematics:
B.S.Shah Publication |
http://rbmix.com/math/progressions/seq.html |
2 |
1 |
2 |
Arithmetic Progression |
5 |
2 |
||||
3 |
Geometric Progression |
5 |
2 |
||||
4 |
Harmonic Progression |
5 |
1 |
||||
5 |
n th
term and sum of first n terms of AP, GP,HP with proof. |
5 |
2 |
||||
|
|
6 |
Relation between A.M.,
G.M., and H.M. |
http://www.askiitians.com/iit_jee-Progressions_and_Series/Relation_between_AM_GM_and_HM |
5 |
1 |
|
|
TOTAL |
|
|
|
|
20% |
9 |
4 |
Permutations
& combination. |
1 |
Meaning of Permutation |
Business
Mathematics: D. C. Sancheti & V. K. Kapoor (S. Chand & Sons) Business Mathematics:
B.S.Shah Publication |
http://betterexplained.com/articles/easy-permutations-and-combinations/ |
2 |
1 |
2 |
Permutation of n
different things |
http://www.math-for-all-grades.com/permutations.html |
5 |
||||
3 |
Circular permutations |
5 |
2 |
||||
4 |
Permutations of things
not all different |
http://www.themathpage.com/aprecalc/permutations-combinations.htm |
5 |
1 |
|||
5 |
Restricted Permutations |
5 |
|||||
6 |
Meaning of Combinations |
http://betterexplained.com/articles/easy-permutations-and-combinations/ |
2 |
1 |
|||
7 |
Complementary Theorems |
3 |
1 |
||||
8 |
Restricted Combinations |
http://www.tutors4you.com/restrictedcombinations.htm |
5 |
1 |
|||
9 |
Combinations of things
not all different |
http://www.mathsisfun.com/combinatorics/combinations-permutations.html |
5 |
1 |
|||
|
TOTAL |
|
|
|
|
20% |
8 |
5 |
Mathematical Induction and Binomial Theorem |
1 |
Introduction
Mathematical induction |
Business
Mathematics: D. C. Sancheti & V. K. Kapoor (S. Chand & Sons) Business Mathematics:
B.S.Shah Publication |
3 |
1 |
|
2 |
Principles of
Mathematical induction and related examples |
5 |
2 |
||||
3 |
Introduction of
Binomial Theorem, position of Terms |
http://en.wikipedia.org/wiki/Binomial_theorem |
5 |
3 |
|||
4 |
Binomial Coefficients,
Binomial Theorem with any Index |
5 |
3 |
||||
|
|
|
|
20% |
9 |
||
|
TOTAL |
|
|
|
|
100% |
44 |