Applied Mathematics

Class XII | SUBJECT CODE (840)
Special efforts has been made in order to connect it’s application in various fields, so that, students who are opting for Social Science based subjects or Commerce based subjects or skill based subjects at senior secondary level can also fulfill their urge of learning mathematics joyfully.

Course Objective

a). To develop an understanding of basic mathematical and statistical tools and their application in Science, Business, Finance, Economics, and other fields.
b). To develop logical reasoning skills and enhance problem-solving abilities.

Course Features

Applied mathematics involves the application of mathematics to problems which arise in various areas, e.g., science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new problems.
Instructor in Agriculture
“Applied Mathematics has been designed with an intention to orient the students towards the mathematical tools relevant in life.”

Course Content

Basics of Limits & continuity, differentiation of non-trigonometric functions, Basic applications of derivatives in finding Marginal cost, Marginal Revenues etc. Increasing and Decreasing Functions, Maxima / Minima. Integration as reverse process of differentiation, integration of simple algebraic functions.
Introduction of Matrices, Algebra of Matrices, Determinants of Square matrices (Application only).
Number series, Coding, decoding and odd man out, direction tests, blood relations, syllogism, Binary numbers, logical operations and truth table.
Calculating EMI, calculations of Returns, Compound annual growth rate (CAGR), Stocks, Shares, Debenture, valuation of Bonds, GST, Concept of Banking.
Introduction to probability of an event, Mutually exclusive events, conditional probability, Law of Total probability. Basic application of Probability Distribution (Binomial Distribution, Poisson Distribution and Normal Distribution).
Slope of a line, equation of a line in point slope form, slope intercept form and two point form.
Introduction, related terminology such as constraints, objective function, optimization, different types of LP, mathematical formulation of LP problem, graphical method of solution for problems in two variables.
a. Index numbers: meaning and uses of index number, construction of index numbers, construction of consumer price indices.
b. Time series & trend analysis: Component of time series, additive models, Finding trends by moving the average method.