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Swayam

Mathematics-I

NITTTR via Swayam

Overview

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This course is designed to give a comprehensive coverage at an introductory level to the subject ofTrigonometry, Differential Calculus and Basic elements of algebra.

Syllabus

Module 1: Introductory module of e-Learning course on angles and their measurement and their conversions, concept of T-Ratios of allied angles

Module 2: Sum, difference and product formulae. T-Ratios of multiple and sub-multiple angles. Graphical representation of trigonometric functions.

Module 3: Concept of functions, limits, differentiation of algebraic, trigonometric functions.

Module 4: Introduction to complex numbers, real & imaginary parts of complex number, representation and conversion from one form to other, conjugate, modulus and amplitude of a complex number, arithmetic operations on complex numbers and De-movier’s theorem and its application.

Module 5: Proper and improper fractions, partial fractions, resolving proper fraction into partial fractions when denominator containing (i) non-repeated linear factors (ii) repeated linear factors and (iii) irreducible non-repeated quadratic factors.

Module 6: Permutations and combinations, Binomial theorem and binomial approximations with applications to engineering problems.

Taught by

Dr. Jagadeeshwar Pashikanti

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