Advanced Engineering Mathematics detailed Syllabus for Metallurgical Engineering (DMET), C18 curriculum has been taken from the TSSBTET official website and presented for the diploma students. For Course Code, Course Name, Lectures, Tutorial, Practical/Drawing, Internal Marks, Max Marks, Total Marks, Min Marks and other information, do visit full semester subjects post given below.
For all other Diploma in Metallurgical Engineering (DMET) Syllabus for 4th Sem C18 Curriculum TSSBTET, do visit Diploma in Metallurgical Engineering (DMET) Syllabus for 4th Sem C18 Curriculum TSSBTET Subjects. The detailed Syllabus for advanced engineering mathematics is as follows.
Prerequisites:
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Course Outcomes:
At the end of the course, the student will have the ability to:
- CO 1 Solve simple Homogeneous Linear Differential Equations
- CO 2 Solve simple Non-Homogeneous Linear Differential Equations
- CO 3 Express f(‘x’) as a Fourier series in the given interval
- CO 4 Express f(‘x’) as a Fourier Half-Range Cosine series and Sine series
- CO 5 Find Laplace transforms of simple functions
- CO 6 Find Inverse Laplace transforms of simple functions and solve Linear Differential Equations using Laplace Transformations.
Unit – I Duration: 05 Periods (L:30 – T:20)
Homogeneous Linear Differential equations with constant coefficients Homogenous linear differential equations with constant coefficients of order two and higher with emphasis on second order.
Unit – II Duration: 15 Periods (L:120 – T:30)
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Unit-III Fourier series Duration: 10 Periods (L: 80 – T: 20)
Orthogonality of trigonometric functions, Representation of a function in Fourier series over the interval (c,c+2(pi)) , Eulers formulae, sufficient conditions for existence of Fourier series for a function. Even, Odd functions and Fourier series over the Interval (0,2^(pi)) and (-pi,pi)
Unit – IV Fourier Half-range series Duration: 05 Periods (L: 30 – T: 20)
Representation of a function as Fourier Half-range Sine series and Cosine series over the interval (0,pi)
Unit – V Laplace Transformations: Duration: 10Periods (L: 70 – T:30)
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Unit – VI Inverse Laplace transforms:
Inverse Laplace transforms- shifting theorems and change of scale property, multiplication by s^n and division by s -Inverse Laplace Transform using partial fractions – convolution theorem (no proof) – application of Laplace Transformations to solve ordinary differential equations of second orde with initial conditions.
Recommended Books:
- Higher Engineering Mathematics, B.S.Grewal .
- Laplace Transforms – Murray R. Spigel .
- Ordinary Differential Equations – R. S. Aggarwal.
- Fourier Series – A.R. Vasishtha and Gupta.
Suggested E-Learning references:
For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier..
Suggested Student Activities:
- Student visits Library to refer Standard Books on Mathematics and collect related material.
- Quiz
- Group discussion
- Surprise tests
- Seminars
- Home Assignments.
For detail Syllabus of all other subjects of Metallurgical Engineering, C18 curriculum do visit Diploma In Metallurgical Engineering 4th Sem Syllabus for C18 curriculum.
For all Metallurgical Engineering results, visit TSSBTET DMET all semester results direct links.