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 nonpositive series, absolutely convergence and conditionally convergence . Power series, Taylor and Maclourin series, radius of convergence. Parametric equations and Polar coordinates, graph of polar equations, 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 Be able to understand and apply security protocol and tools to security challenges faced in organizations
2. P02 Be able to design security software to combat security issues
3. P03 Be able to identify, categorize, and develop security solutions for computer orientated challenges.
4. P04 Be able to demonstrate autonomy and responsibility in managing computer security projects
5. P05 Be able to follow the state of the arts concepts in computer technology security
6. P06 Be able to design, implement, and evaluate a computational system to meet desired security needs within realistic constraints
7. P07 Be able to use appropriate security techniques, protocols, skills, and tools necessary for securing computer systems
8. P08 Be able to apply effective communication skills consistent with the professional environment
9. P09 Be able to apply effective collaboration skills in teamwork consistent with the professional environment
10. P10 Be able to apply appropriate security technology and techniques to facilitate a safe operation in an organization

Po-Lo Matrix