Modules 1 to 5 are considered for the End semester
Examination of First Semester BTech 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.
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

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