Dear students, if you are a student of Polytechnic First Year Second Semester of Electrical & Electronics Engineering and you want to know what are the units in Applied Mathematics 2, then you have reached the right place. Today’s post , we will tell you in detail about the Applied Mathematics 2 Syllabus which is approved by BTEUP and this is the Applied Mathematics 2 new syllabus .
Before we start the post one thing you were must know which is, Applied Mathematics 2 is a common subject in all Polytechnic branch. So let’s start the post and read about Applied Mathematics 2 detailed syllabus.
DETAILED CONTENTS OF POLYTECHNIC SECOND SEMESTER APPLIED MATHEMATICS-2 SYLLABUS FOR ELECTRICAL & ELECTRONICS ENGINEERING
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1.) Integral Calculus-I
Methods of Indefinite Integration:-
1.1) Integration by substitution.
1.2) Integration by rational fraction.
1.3) Integration by partial fraction.
1.4) Integration by parts.
1.5) Integration of special function.
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2.) Integral Calculus-II
2.1) Meaning and properties of definite integrals, Evaluation of definite integrals.
2.2) Application : Length of simple curves, Finding areas bounded by simple curves Volume of solids of revolution, centre of mean of plane areas.
2.3) Simpsons 1/3rd and Simpsons 3/8th rule and Trapezoidal Rule: their application in simple cases. Numerical solutions of algebraic equations; Bisections method, Regula-Falsi method, Newton-Raphson’s method(without proof), Numerical solutions of simultaneous equations; Gauss elimination method (without proof).
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3.) Co-ordinate Geometry (2 Dimension)
Circle: Equation of circle in standard form. Centre- Radius form, Diameter form, Two intercept form.
4.) Co-ordinate Geometry (3 Dimension)
4.1) Straight lines and planes in space
Distance between two points in space, direction cosine and direction ratios, Finding equation of a straight line (without proof).
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LEARNING OUTCOMES
After undergoing this course, the students will be able to:
- Calculate simple integration by methods of integration.
- Evaluate the area under curves, surface by using definite integrals.
- Calculate the area and volume under a curve along areas.
- Solve the engineering problems with numerical methods.
- Understand the geometric shapes used in engineering problems by co-ordinate geometry.
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INSTRUCTONAL STRATEGY
Basic elements of Differential Calculus, Integral Calculus and differential equations can be taught conceptually along with real engineering applications in which particular algorithm and theory can be applied. Numerical examples will be helpful in understanding the content of the subject.
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MEANS OF ASSESSMENT
– Assignments and Quiz/Class Tests
– Mid-term and End-term Written Tests
– Model/Prototype Making
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RECOMMENDED 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-II by Chauhan and Chauhan, Krishna Publications, Meerut.
4. Applied Mathematics-I (B) by Kailash Sinha and Varun Kumar; Aarti Publication, Meerut.
5. e-books/e-tools/relevant software to be used as recommended by AICTE/ NITTTR, Chandigarh.
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