This document outlines the objectives, outcomes, eligibility, and modules of a mathematics course. The objectives are to provide students in arts and commerce backgrounds the mathematics basics for higher education and competitive exams. The outcomes include understanding concepts like quadratic equations, logarithms, probability, calculus, fractions, ratios, and interest. The course is eligible for all BA, BCOM, and non-physics/chemistry BSC students. The modules cover topics such as numbers, equations, logarithms, geometry, probability, calculus, ratios, percentages, averages, interest, and algebra.
2. COURSE OBJECTIVES
• The objectives of this course include preparing students of all
streams, particularly those with arts and commerce back ground
with the basics of mathematics required for their higher studies
and preparing 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.
3. COURSE OUTCOMES
1. Understand the concepts of quadratic equations,
Logarithm, combinatorics
2. Understand the concepts of probability and differential
calculus
3. Understand the concepts of LCM, HCF, Fractions,
Ratio and Proportion and Percentage
4. Understand the concept of simple interest, compound
interest, and time and work and elementary algebra
6. 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.
7. MODULE – 2 (18 HRS)
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)
8. MODULE – 3 (18 HRS)
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)
9. MODULE – 4 (18 HRS)
Simple interest, Compound interest, Time and work,
Work and wages, (Exclude Pipes and Systems from
the core reference), Time and distance, Elementary
mensuration – Area and perimeter of polygons,
Elementary Algebra, (Simplifications of algebraic
expressions)
