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

http://library.thinkquest.org/2647/algebra/functype.htm

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

http://mathworld.wolfram.com/CircularPermutation.html

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

http://en.wikipedia.org/wiki/Mathematical_induction

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