Sunday 8 September 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,                               
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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