Applied Mathematics-III Repair & Maintenance 3rd Sem BTEUP Syllabus 2019-2020

Applied Mathematics-III detail BTEUP syllabus for Mechanical Engineering (Repair & Maintenance), effective from 2019-2020, is collected from BTEUP 2017 Syllabus official website and presented for diploma students. PDF download is possible from official site but you can download the istudy mobile app for syllabus on mobile. The course details such as 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 bteup syllabus 3rd sem repair & maintenance 2019-2020 you can visit BTEUP Syllabus 3rd Sem Repair & Maintenance 2019-2020 Subjects. The detail syllabus for applied mathematics-iii is as follows.

Rationale:

Contents of this course provide understanding of some elementary and advanced mathematics algorithms and their applications of solving engineering problems. Content of this course will enable students to use some advanced techniques like Beta-Gamma function, Fourier series, Laplace transform and probability distributions in solving complex engineering problems.

Learning Outcomes:

After undergoing this course, the students will be able to:

• understand matrix operations and uses of matrix in different problems.
• apply elementary row and column operations in finding inverse of a matrix.
• find Eigen values, Eigen vectors of a matrix and their different properties.
• understand degree/order of differential equations and their solution techniques.
• use differential equations in engineering problems of different areas.
• find Fourier series expansion of a function
• apply Laplace transform and their applications in solving engineering problems.
• understand concept of probability distribution and their applications.

1. Matrices (16 Periods)

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.

2. Differential Calculus (15 Periods)

1. Function of two variables, identification of surfaces in space, conicoids
2. Partial Differentiation: Directional derivative, Gradient, Use of gradient f, Partial derivatives, Chain rule, Higher order derivatives, Euler’s theorem for homogeneous functions, Jacobians.
3. Vector Calculus: Vector function, Introduction todouble and triple integral,differentiation and integration of vector functions, gradient, divergence and curl, differential derivatives.

3. Differential Equation (15 Periods)

1. Formation, Order, Degree, Types, Solution: Formation of differential equations through physical, geometrical, mechanical and electrical considerations, Order, Degree of a differential equation, Linear, nonlinear equation.
2. First Order Equations: Variable seperable, equations reducible to seperable forms, Homogeneous equtions, equations reducible to homogeneous forms, Linear and Bernoulli form exact equation and their solutions.
3. Higher Order Linear Equation: Property of solution, Linear differential equation with constant coefficients (PI for X= eax, Sinax, Cosax, Xn, eaxV, XV)
4. Simple Applications: LCR circuit, Motion under gravity, Newton’s law of cooling, radioactive decay, Population growth, Force vibration of a mass point attached to spring with and without damping effect. Equivalence of electrical and mechanical system

4. Integral Calculus (12 Periods)

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5. Probability and Statistics (12 Periods)

1. Probability: Introduction, Addition and Multiplication theorem and simple problem.
2. Distribution: Discrete and continuous distribution, Binomial Distribution, Poisson Distribution, Normal Distribution.

Instructional Strategy:

The content of this course is to be taught on conceptual basis with plenty of real world examples. The basic elements of Laplace transform, differential equations and applications of differential equations can be taught with engineering applications of relevant branch.

Means of Assessment:

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.

Text Books:

1. Elementary Engineering Mathematics by BS Grewal, Khanna Publishers, New Delhi
2. Engineering Mathematics, Vol I & II by SS Sastry, Prentice Hall of India Pvt. Ltd.,
3. Applied Mathematics- III by Chauhan and Chauhan, Krishna Publications, Meerut.
4. Applied Mathematics- II by Kailash Sinha and Varun Kumar; Aarti Publication, Meerut.
5. E-books/e-tools/relevant software to be used as recommended by AICTE/UBTE/NITTTR, Chandigarh.

For detail syllabus of all other subjects of BE Repair & Maintenance, effective from 2019-2020 do visit Repair & Maintenance 3rd Sem BTEUP syllabus for 2019-2020.

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