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. Should be able to write effective reports, understand written reports, and prepare design and production reports.
2. Should have the ability to make effective presentations.
3. Should have the ability to give and have clear and understandable instructions.
4. Should gain consciousness (awareness) about the necessity of lifelong learning.
5. Should have the ability to access information.
6. Should have the ability to follow developments in science and technology and constantly renew himself/herself.
7. Should gain the awareness of professional and ethical responsibility and should act in accordance with ethical principles.
8. Should gain knowledge about the standards used in engineering applications.
9. Should gain knowledge about project management, risk management, and change management practices in business life.
10. Should gain awareness about entrepreneurship, and innovation.
11. Should gain knowledge about development in sustainability.
12. 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.
13. Awareness should be gained about the legal consequences of engineering solutions.
14. Should have sufficient knowledge in mathematics, science, and subjects specific to the relevant engineering discipline.
15. Should have the ability to use theoretical and applied knowledge in mathematics, science, and related engineering disciplines in complex engineering problems.
16. Should have the ability to detect, define, formulate, and solve complex engineering problems.
17. Should have the ability to select and apply appropriate analysis and modeling methods to solve complex engineering problems.
18. Should have the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions.
19. Should have the ability to apply modern design methods.
20. 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.
21. Should have the ability to use information technologies effectively.
22. Should have the ability to design experiments, for the study of complex problems or discipline-specific research topics.
23. Should have the ability to conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research topics.
24. Should have the ability to work in intradisciplinary teams.
25. Should have the ability to work in interdisciplinary teams.
26. Should have the skills to work individually.
27. Should have the ability to communicate effectively verbally and in writing.
28. Should have the knowledge of at least one foreign language.

Po-Lo Matrix