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 Apply data science principles and techniques to challenges in real life situations, and effectively communicate their solutions.
2. P02 Identify and implement data analysis methodologies based on theoretical ideas, ethical code, and in-depth knowledge of the underlying data.
3. P03 Analyze the guiding concepts and assessment procedures for information analysis in real-life applications.
4. P04 Design and apply relevant data analysis models to find obscure solutions to business-related problems.
5. P05 Utilize modern computing techniques to handle real-world problems characterized by massive amounts of data, such as parallel and distributed computing and machine learning.
6. P06 Configure and administer the software tools required to efficiently produce usable information from any size of structured and unstructured datasets.
7. P07 Administer or manage data science tools and techniques to organize and complete projects aimed at gaining useful insight from complex data.
8. P08 Think critically and imaginatively, conceiving real-world issues from several angles, and work well in a variety of teams to solve issues cooperatively.
9. P09 Be able to effectively integrate data‐based solutions into the user environment and help non-technical professionals in exploring, visualizing, and using these solutions
10. P10 Understand their obligations under professional and ethical standards in relation to matters like data ownership and citation, data security and sensitivity and the privacy implications of data analysis.

Po-Lo Matrix