Engineering Mathematics-II detail TNDTE Diploma syllabus for 2nd Sem M scheme is extracted from TNDTE official website and presented for diploma students. The course code (30022), 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 2nd sem syllabus for diploma m scheme tndte you can visit 2nd Sem Syllabus for Diploma M Scheme TNDTE Subjects. The detail syllabus for engineering mathematics-ii is as follows.

#### Rationale:

In many fields of Engineering, there are situations where in the effects due to various factors can be calculated only in a smaller region. To calculate the total effect or effect over a larger region the Integration concept is used. Integration plays vital role in many fields of Engineering.

#### Objectives:

The student will be able to acquire knowledge of algebra of vectors and its application in finding work done, moment, volumes , to acquire knowledge of Integration principles and different methods of Integration.

#### Unit 1

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#### Unit 2

**Vector Algebra – 1**

**Vector – Introduction**

Definition of vector – types, addition, and subtraction of Vectors, Properties of addition and subtraction. Position vector. Resolution of vector in two and three dimensions. Directions cosines, Direction ratios. Simple problems.

**Scalar Product Of Vectors**

Definition of Scalar product of two vectors – Properties – Angle between two vectors. Simple Problems.

**Application Of Scalar Product**

Geometrical meaning of scalar product. Work done by Force. Simple Problems.

#### Unit 3

**Vector Algebra – 2**

**Vector Product Of Two Vectors**

Definition of vector product of two vectors. Geometrical meaning. Properties – Angle between two vectors – unit vector perpendicular to two vectors. Simple Problems.

**Application Of Vector Product Of Two Vectors &Scalar Triple Product**

Definition of moment of a force. Definition of scalar product of three vectors – Geometrical meaning – Coplanar vectors. Simple Problems.

**Vector Triple Product & Product Of More Vectors**

Definition of Vector Triple product, Scalar and Vector product of four vectors Simple Problems.

#### Unit 4

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#### Unit 5

**Integral Calculus – 2**

**Integration By Parts**

Integrals, Simple Problems.

**Bernoulli’S Formula**

Evaluation of the integral, where m <=2 using Bernoulli's formula. Simple Problems.

**Definite Integrals**

Definition of definite Integral. Properties of definite Integrals – Simple Problems.

#### Text Books:

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

#### Reference Books:

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#### 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

Each question in PART C will contain 3 Sub questions, out of these 3 Sub questions 2 Sub questions is to be answered for 5 marks each.

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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