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DOWNLOAD KTU S1 CALCULUS NOTES
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ABOUT THIS COURSE:
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 using appropriate software packages.
Syllabus
Single Variable Calculus and Infinite series, 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
(i) check convergence of infinite series
(ii) find maxima and minima of functions two variables
(iii) find area and volume using multiple integrals
(iv) apply calculus of vector valued functions in physical applications and
(v) visualize graphs and surfaces using software or otherwise.
Text Books
(1)Anton, Bivens, Davis: Calculus, John Wiley and Sons, 10 ed
(2)Thomas Jr., G. B., Weir, M. D. and Hass, J. R., Thomas’ Calculus, Pearson
References:
1. Sengar and Singh, Advanced Calculus, Cengage Learning, Ist Edition th
2. Erwin Kreyszig, Advanced Engineering Mathematics, Wiley India edition, 10 ed.
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 4 Edition.
6. A C Srivastava, P K Srivasthava, Engineering Mathematics Vol 1. PHI Learning Private Limited,
NewDelhi.
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