CALCULUS-II

Course Description

This course provides the methods of differential and integral calculus with applications in geometry, physics and engineering. Topics included are as follows: Sequences and infinite series, properties of sequences, test for convergence, tests for series with both positive and non-positive series, absolutely convergence and conditionally convergence . Power series, Taylor and Maclaurin series, the radius of convergence. Parametric equations and Polar coordinates, the graph of polar equations, the area in polar coordinates, arc length, speed on a curve and derivative of polar equations. Vectors and vector-valued functions, dot product and cross product of two vectors. Lines and Planes. Functions of several variables, their domain, limit and partial derivatives and definite integral of a function over a region.

CALCULUS-II

Evaluation Tools (Active Term)

Course outcomes

1. 01 1. Identify the series and sequences
2. 02 2. decide the convergences of series and sequences.
3. 03 3. analyze the convergence criterion of power series
4. 04 5. Find parametric and polar equations
5. 05 analyze the several variable functions

Course Syllabus

Reference Books & Course Materials

1. 01 Thomas’ Calculus Early Transcendentals, M.D. Weir, J. Hass, F.R. Giordano, 12th Edition, Pearson, ISBN-13: 978-0321888549 ISBN-10: 0321888545
2. 02 Calculus, Larson Edwards, 9th Edition, Brooks/Cole . ISBN-13: 978-1285057095 ISBN-10: 1285057090
3. 03 Calculus, Complete Course, Roberts A. Adams, Eleventh Edition. ISBN-13: 978-0321549280 ISBN-10: 0321549287

Learning Outcomes

1. L01 1. Identify the series and sequences
2. L02 2. decide the convergences of series and sequences.
3. L03 3. analyze the convergence criterion of power series
4. L04 4. Apply multiple integrals
5. L05 5. Find parametric equations and find Taylor series of functions.

Program Outcomes

1. P01 Should have sufficient knowledge in mathematics, science, and subjects specific to the relevant engineering discipline.
2. P02 Should have the ability to use theoretical and applied knowledge in mathematics, science, and related engineering disciplines in complex engineering problems.
3. P03 Should have the ability to detect, define, formulate, and solve complex engineering problems.
4. P04 Should have the ability to select and apply appropriate analysis and modeling methods to solve complex engineering problems.
5. P05 Should have the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions.
6. P06 Should have the ability to apply modern design methods.
7. P07 Should have the ability to develop, select, and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
8. P08 Should have the ability to use information technologies effectively.
9. P09 Should have the ability to design experiments, for the study of complex problems or discipline-specific research topics.
10. P10 Should have the ability to conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research topics.
11. P11 Should have the ability to work in intradisciplinary teams.
12. P12 Should have the ability to work in interdisciplinary teams.
13. P13 Should have the skills to work individually.
14. P14 Should have the ability to communicate effectively verbally and in writing.
15. P15 Should have the knowledge of at least one foreign language.
16. P16 Should be able to write effective reports, understand written reports, and prepare design and production reports.
17. P17 Should have the ability to make effective presentations.
18. P18 Should have the ability to give and have clear and understandable instructions.
19. P19 Should gain consciousness (awareness) about the necessity of lifelong learning.
20. P20 Should have the ability to access information.
21. P21 Should have the ability to follow developments in science and technology and constantly renew himself/herself.
22. P22 Should gain the awareness of professional and ethical responsibility and should act in accordance with ethical principles.
23. P23 Should gain knowledge about the standards used in engineering applications.
24. P24 Should gain knowledge about project management, risk management, and change management practices in business life.
25. P25 Should gain awareness about entrepreneurship, and innovation.
26. P26 Should gain knowledge about development in sustainability.
27. P27 Should gain knowledge about the effects of engineering practices on health, environment, and security at universal and social dimensions and the problems of the age reflected in the field of engineering.
28. P28 Awareness should be gained about the legal consequences of engineering solutions.

Po-Lo Matrix