UP Polytechnic & Diploma In Computer Science And Engineering | Applied Mathematics - II | 2nd Semester Syllabus | 1st Year | BTEUP - EdufyHUB 4U

APPLIED MATHEMATICS - II

UP Polytechnic/Diploma In Computer Science And Engineering Applied Mathematics - II Syllabus - EdufyHUB 4U

RATIONALE

Basic elements of integral calculus, differential calculus, numerical methods, differential equations included in this course will play a vital role in understanding engineering problem mathematically. This will also develop analytical as well as conceptual abilities among students.

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

DETAILED CONTENTS

1. Integral Calculus - I
(20 Periods)

Methods of Indefinite Integration:-

• Methods of Indefinite Integration:-
  1. Integration By Substitution
  2. Integration By Rational Function
  3. Integration By Partial Fraction
  4. Integration By Parts
  5. Integration Of Special Function

2. Integral Calculus - II
(20 Periods)

1. • Meaning And Properties Of Definite Integrals
   • Evaluation Of Definite Integrals
2. • Application: Length Of Simple Curves
   • Finding Areas Bounded By Simple Curves
   • Volume Of Solids Of Revolution
   • Centre Of Mean Of Plane Areas
3. • Simposns 1/3rd And Simposns 3/8th Rule And Trapezoidal Rule: Their Application In Simple Cases
   • Numerical Solutions Of Algebraic Equations:
   • Bisection Method
   • Regula-Falsi Method
   • Newton-Raphson’s Method (Without Proof)
   • Numerical Solutions Of Simultaneous Equations:
   • Gauss Elimination Method (Without Proof)

3. Co-ordinate Geometry (2 Dimension)
(18 Periods)

1. Circle
• Equation Of Circle In Standard Form
• Centre-Radius Form
• Diameter Form
• Two Intercept Form

4. Co-ordinate Geometry (3 Dimension)
(12 Periods)

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)

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.

MEANS OF ASSESSMENT

Assignments and Quiz/Class Tests

Mid-term and End-term Written Tests

Model/Prototype Making

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

Suggested Distribution of Marks

Topic No.	Time Alloted (Periods)	Marks Allotted (%)
1	20	28
2	20	28
3	10	24
4	12	20
Total	70	100

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Download Official Syllabus
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