Relationship of Mathematics With Other Subjects

1. BED 104 : UNDERSTANDING DISCIPLINES AND
SUBJECTS
TOPIC : RELATIONSHIP OF MATHEMATICS
WITH OTHER SUBJECTS
Presented by
Manoj Kumar Gautam
School of Education
Babasaheb Bhimrao Ambedkar University
( A Central University )
Vidya Vihar, Raebareli Road, Lucknow - 226025
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 1 / 18

2. OUTLINE
1 INTRODUCTION
2 CORRELATION OF MATHEMATICS WITH OTHER
SUBJECTS
3 PHYSICAL SCIENCE
4 BIOLOGICAL SCIENCE
5 ENGINEERING
6 SOCIAL SCIENCE
7 LANGUAGE AND LITERATURE
8 ART AND ARCHITECTURE
9 PSYCHOLOGY
10 ASTRONOMY
11 CONCLUSION
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 2 / 18

3. INTRODUCTION
What is Mathematics ?
Mathematics is an old, broad and deep discipline (field of study).
People working to improve math education need to understand
”What is Mathematics?”
1 The roots of mathematics go back much more than 5,000
years.
2 Humans have faced the need to measure and communicate
about time, quantity, and distance. Then they developed
mathematics.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 3 / 18

4. CORRELATION OF MATHEMATICS WITH OTHER
SUBJECTS
What is correlation ?
1 “ Correlation ” in simplest form is “ connect ” or “ to be connected ”.
2 Correlation means mutual relation of two or more subjects.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 4 / 18

5. PHYSICAL SCIENCE
“ Mathematics is the gate and key of the sciences. ”
- Roger Bacon
1 Physical science without mathematics is
totally meaningless.
2 Chemical reactions, scientific theories of
physical science and detail of elements
are only counted with the help of
mathematics.
3 All laws and principle of physics are
expressed as equations and formula
using mathematical language and
symbols.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 5 / 18

6. BIOLOGICAL SCIENCE
“ The claim of any particular branch of natural philosophy to be
considered as a science can be assessed only on the basis of the
amount of mathematics employed in it. ”
- Comte
Mathematical and
theoretical biology is an
interdisciplinary scientific
research field with a range
of applications. The field
is sometimes called
mathematical biology or
bio-mathematics. Cell Division
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 6 / 18

7. BIOLOGICAL SCIENCE
1
Using mathematics we can
create a mathematical
model of biological problem
in a paper.
2
Using mathematical tool we
understand and analysis the
biological system in a better
way.
Example :
Prey - Predator Model
dx
dt
= ax − bf (x, y)
dy
dt
= −by + cf (x, y)
where,
x = Prey - Population
y = Predator- Population
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 7 / 18

8. ENGINEERING
“ Mathematics is the tool specially suited for dealing with
abstract concepts of any kind and there is no limit to its power in
this field. ”
- P. Dirac
1
An Engineer can be a good
and successful engineer, only
if he is good in mathematics.
2
Mathematics form a stable
base to for all engineering
courses.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 8 / 18

9. ENGINEERING
1
Engineering deals with
surveying, levelling,
designing, estimating,
construction etc. In all these
process, application of
mathematics is very
important.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 9 / 18

10. SOCIAL SCIENCE
“ The social sciences mathematically developed are to be
controlling factors in civilization. ”
- W.F. White
1 History, geography, economics
and all the social sciences
subjects are also correlated to
mathematics.
2 Mathematics helps in calculating
the dates and days of various
historical events and predicting
the future based on the past
events.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 10 / 18

11. SOCIAL SCIENCE
1
In geography,
mathematics helps in
drawing the maps to the
scale, locating that
place and estimating the
distance between
different places.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 11 / 18

12. LANGUAGE AND LITERATURE
1 Language is the vehicle for
communications and mathematics can
not be learned without the use of
language.
2 Mathematics helps the students to learn
the language with clarity and exactness.
3 Certain mathematical concepts specially
abstract concepts can be learned only in
the form of verbal statement known as
definitions.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 12 / 18

13. ART AND ARCHITECTURE
“ Music is a hidden exercise in arithmetic of a mind unconscious
of dealing with numbers.”
- Leibnitz
1 Mathematics is a knowledge of truth
and realities.
2 Only mathematical mind can appreciate
beautiful piece of architecture with some
sense of confidence.
3 Appreciation of rhythm, proportion,
balance, and symmetry postulates a
mathematical mind.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 13 / 18

14. PSYCHOLOGY
“ It is not only possible but necessary that mathematics be
applied to psychology. ”
- Herbert
1 Experimental educational psychology
has become highly mathematical due to
its concern with such factors as
intelligence quotient, standard deviation,
mean, median, mode, correlation
coefficients and probable errors.
2 Statistical analysis is the only reliable
method of attacking social and
psychological phenomena.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 14 / 18

15. ASTRONOMY
1 Astronomers use mathematics all
over time.
2 All laws of astronomy, majority
of them understood by
mathematical concept.
3 Mathematics provides a basis of
find out the distance between
planets, number of stars in
galaxy, numbers of planets and
their satellite etc.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 15 / 18

16. CONCLUSION
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 16 / 18

17. BIBLIOGRAPHY
The Teaching Of Mathematics by Kulbir Singh Sidhu.
https://www.ukessays.com/essays/mathematics/correlation-of-mathematics-with-other-
school-subjects.php.
Manoj Kumar Gautam (BBAU Lucknow) BBAU Lucknow November 18, 2017 17 / 18

18. THANKS FOR YOUR ATTENTION