MA101 CALCULUS S1 Examination Syllabus and Question Paper Format

Modules 1 to 5 are considered for the End semester

Examination of First Semester B-Tech for the course

MA101 CALCULUS.

Open source software packages such as gnuplot, maxima, scilab ,geogebra or R may be used as appropriate for practice and assignment problems.

TUITORIALS: Tuitorials can be ideally conducted by dividing each class in to two groups. Prepare necessary materials from each module that are to be taught using computer. Use it uniformly to every class.

COURSE NO. COURSE NAME CREDITS YEAR OF

INTRODUCTION

MA101 CALCULAS 4 2015

COURSE OBJECTIVES

In this course the students are introduced to some basic tools in Mathematics which are useful

in modelling and analysing physical phenomena involving continuous changes of variables or

parameters. The differential and integral calculus of functions of one or more variables and of

vector functions taught in this course have applications across all branches of engineering. This

course will also provide basic training in plotting and visualising graphs of functions and

intuitively understanding their properties usingappropriate software packages.

Single Variable Calculus and Infinite series, Three dimensional space and functions of more than one

variable, Partial derivatives and its applications, Calculus of vector valued functions, Multiple Integrals.

EXPECTED OUTCOME

At the end of the course the student will be able to model physical phenomena involving

continuous changes of variables and parameters and will also have acquired basic training in

visualising graphs and surfaces using software or otherwise.

TEXT BOOKS

(1) Anton, Bivens, Davis: Calculus, John Wiley and Sons, 10thed

(2) Srimanta Pal, Subodh C Bhunia: Engineering Mathematics, Oxford, 2015

REFERENCES:

1. Advanced Calculus, Sengar and Singh, Cengage Learning, Ist Edition

2. Erwin Kreyszig, Advanced Engineering Mathematics, Wiley India edition, 10thed.

3. B. S. Grewal, Higher Engineering Mathematics, Khanna Publishers, New Delhi.

4. N. P. Bali, Manish Goyal, Engineering Mathematics, Lakshmy Publications 5. D. W.

Jordan, P Smith. Mathematical Techniques, Oxford University Press, 4th Edition.

6. A C Srivastava, P K Srivasthava, Engineering Mathematics Vol 1. PHI Learning

Private Limited, New Delhi.

MA101 CALCULUS QUESTION PAPER FORMAT

Part	MA101 CALCULUS	Marks
A	No Choice Module 1 – 3+3 =6 Module 2 – 3+3 =6 Module 3– 3+3 =6 Module 4 – 3+3 =6 Module 5 – 3+3 =6	30

B	Module 1 to 5 3 questions from each module, answer 2 :– 7 marks each	70
	TOTAL	100