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 Create a user interface in a contemporary object-oriented language to allow users to access business data
2. P02 Identify and analyze user needs and take them into account in the selection, creation, integration, evaluation and administration of computing-based systems
3. P03 Analyze common business functions and identify, design, and develop appropriate information technology solutions
4. P04 Design and develop software solutions for contemporary business environments by employing appropriate problem-solving strategies
5. P05 Configure and administer database server to support contemporary business environments.
6. P06 Administer or mange a relational database for a small to medium size company
7. P07 Be able to effectively integrate IT-based solutions into the user environment
8. P08 Understand professional, ethical, legal, security and social issues and responsibilities
9. P09 Be able to apply effective communication skills consistent with the professional environment
10. P10 Be able to apply effective collaboration skills in teamwork consistent with the professional environment

Po-Lo Matrix