1st Sem, Syllabus

30012: Engineering Mathematics-I 1st Sem Syllabus for Diploma TNDTE M Scheme

Engineering Mathematics-I detail TNDTE Diploma syllabus for 1st Sem M scheme is extracted from TNDTE official website and presented for diploma students. The course code (30012), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.

For all other 1st sem syllabus for diploma m scheme tndte you can visit 1st Sem Syllabus for Diploma M Scheme TNDTE Subjects. The detail syllabus for engineering mathematics-i is as follows.

Rationale:

This subject being a branch of Logic is classified as one of the basic sciences and intends to teach students, basic facts, concepts and principles of mathematics as a tool to analyse Engineering problems. Mathematics lay down foundation for understanding core technology subjects.

Objectives:

This subject helps the students to develop logical thinking which is useful in Comprehending the principles of all other subjects. Analytical and systematic approach towards any problem is developed through learning of this subject. Mathematics being a versatile subject can be used at every stage of human life. The student will be able to acquire knowledge of algebra of complex numbers and its uses to solve equations having non-real solutions and knowledge of differentiation, principles and different methods, develop the ability to apply these methods to solve technical problems to execute management plans with precision.

Unit 1

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Unit 2

Complex Numbers


Algebra Of Complex Numbers

Definition – Real and Imaginary parts, Conjugates, Modulus and amplitude form, Polar form of a complex number, multiplication and division of complex numbers (geometrical proof not needed)- Simple Problems .Argand Diagram – Collinear points, four points forming square, rectangle, rhombusandparallelogram only.SimpleProblems.

De Moiver’S Theorem

Demoivre’s Theorem (statementonly)-relatedsimpleproblems.

Roots Of Complex Numbers

Finding the n th roots of unity – solving equation of the form xn 1 = 0 where n < 7 Simple Problems.

Unit 3

Trigonometry
Compound Angles

Expansion of sin(AB), cos(AB) and tan(AB) [withoutproof] . Problems using above expansions.

Multiple Angles

Trigonometrical ratios of multiple angles of 2A and 3A and sub multiple angles. Simple Problems.

Sum And Product Formulae

Trigonometrical ratiosofsum andproductformulae. SimpleProblems.

Unit 4

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Unit 5

Differential Calculus – 2


Differentiation Methods

Differentiation of function functions (chain rule), Inverse Trigonometric functions and Implicit functions. Simple Problems.

Successive Differentiation

Successive differentiation up to second order (parametric form not included) Definition of differential equation, order and degree, formation of differential equation. Simple Problems.

Partial Differentiation

Definition – Partial differentiation of two variables up to second order only. Simple Problems.

Text Books:

  1. Mathematics for Higher Secondary – I year and II year (Tamil Nadu Text Book Corporation)

Reference Books:

For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. It’s a lightweight, easy to use, no images, no pdfs platform to make students life easier.

Question paper pattern:

PART A – 5 Questions to be answered out of 8 for 2 marks each.

PART B – 5 Questions to be answered out of 8 for 3 marks each.

PART C – All the 5 Questions to be answered

Out of the 3 Sub questions in PART C, one sub question must be on problem based to test the analytical ability/logical ability /diagnostic ability/conceptual ability relevant to that subject content. Equal weightage is to be given to whole syllabus.

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Wish you a great luck ahead.

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