Department of Mathematics And Statistics
M.E.S College, Marampally
Monday 3 March 2014
Sunday 8 September 2013
Wednesday 14 August 2013
Friday 29 March 2013
Open Course-Applicable Mathematics (Syllabus)
UG PROGRAMME
MATHEMATICS OPEN COURSE
FIFTH SEMESTER
MM5D02: APPLICABLE MATHEMATICS
4
hours/week 4
credits
The objective of module – 1 & 2 is to prepare students of all
streams, particularly those with arts and commerce back ground for their higher
studies. A detailed study is not necessary from these modules. All
questions asked to be of arts students’ standard.
Module –
1
(18 hours)
Types of numbers, Quadratic equations (Solution of quadratic equations
with real roots only), Logarithms – All rules without proof, Multiplication and
division of numbers, Evaluating expressions of the form xp/q
, x any real number, p & q are integers, Permutations and combinations –
simple applications, Trigonometry introduction, Values of trigonometric ratios
of 00, 300, 450, 600& 900,
Heights and distances – Simple cases - (application of sin x, cos x, tan x,
and their reciprocals only). Two dimensional geometry- Introduction, plotting
points and drawing graph of the lines of the form ax+by+c=0.
Module –
2
(18 hours)
Probability – Introduction – Sample
spaces and events, Simple examples like tossing coin , tossing die etc..,
Differential Calculus - Differentiation – Standard results (derivatives)
without proof, Product rule, Quotient rule and function of function
rule), Integral calculus (Integration simple cases, with and without
limits)
No core text book is needed
for Modules 1 & 2
The objective of
module – 3 & 4
is to prepare students of all streams, particularly those with arts and
commerce back ground to approach competitive examinations. Detailed
explanation and short cut method for solving problems
are to be introduced to students, so that they can acquire better understanding
of concepts and problem solving skill. Assignments not less than 20 questions
may be given from each topic of these modules. ( For University
examinations it is to be specified, whether a problem is solved in detail or
use some short cut method.)
Module –
3
(18 hours)
HCF and LCM of numbers, Fractions,
Squares and square roots, cube and cube roots, simplifications, Ratio and
Proportion, Percentage, Profit and loss, Simple average (No Weighed average).(Sections
– 2, 3, 5, 6, 7, 9,10,11, 13)
Module –
4
(18 hours)
Simple interest,
Compound interest, Time and work, Work and wages, (Exclude Pipes and Systems
from the core reference), Time and distance, Elementary menstruation – Area and
perimeter of polygons, Elementary Algebra, (Simplifications of algebraic
pressions). (Sections - 14, 15, 17, 18, 21, 22,
23)
Core Reference – M. Tyra, & K. Kundan- CONCEPTS
OF
ARITHMETIC,
BSC PUBLISHING COMPANY PVT.LTD.
C – 37, GANESH NAGAR, PANDAV NAGAR COMPLEX
QUESTION PAPER PTTERN
Module
|
Part A
|
Part B
|
Part C
|
Part D
|
||
I
|
3
|
2
|
1
|
1(I or II)
|
1
|
|
II
|
3
|
2
|
1
|
1
|
||
III
|
5
|
2
|
1
(III or IV)
|
1
|
1
(III or IV)
|
1
(III or IV)
|
IV
|
5
|
2
|
1
|
|||
Total
|
16
|
9
|
6
|
3
|
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