Applied Mathematics detail TNDTE Diploma syllabus for 2nd Sem M scheme is extracted from TNDTE official website and presented for diploma students. The course code (30023), 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 applied mathematics is as follows.

#### Rationale:

Many of Physical Engineering Problems like vibration of two side tied strings, Heat flow, decaying of radioactive material comes only in the form of differential equation, solution of differential equation gives solution of Physical Problems.

#### Objectives:

This subject helps the students to acquire knowledge of finding areas and volumes using Integration and various methods of solving first and second order differential equations. This subject also helps the students to become aware of Binomial, Poisson and Normal distributions which can be used in Quality control.

#### Unit 1

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#### Unit 2

**Probability Distribution – 2**

**Poission Distribution**

Definition of Poission distribution. Expressions of mean and variance. Simple Problems.

**Normal Distribution**

Definition of normal and standard normal distribution – statement only. Constants of normal distribution (Results only) Properties of normal distribution – Simple problems using the table of standard normal distribution.

**Curve Fitting**

Fitting of straight line using least square method (Results only), Simple problems.

#### Unit 3

**Application Of Differentiation**

**Velocity And Acceleration**

Velocity and Acceleration – Simple Problems.

**Tangent And Normal**

Tangent and Normal – Simple Problems.

**Maxima And Minima**

Definition of increasing and decreasing functions and turning points. Maxima and Minima of single variable only – Simple Problems.

#### Unit 4

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#### Unit 5

**Application Of Integration – 2**

**Second Order Differential Equation – 1**

Solution of second order differential equation with constant co- efficients. Simple Problems.

**Second Order Differential Equation – 2**

Solution of second order differential equations with constant coefficients. Simple Problems.

**Second Order Differential Equation – 3**

Solution of second order differential equation with constant coefficients. 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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