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 PO1: To identify and use theoretical and applied knowledge as well as up-to-date/cutting edge laboratory techniques and analyses methods in the field of molecular biology and genetics.
2. P02 PO2: To identify problems related to molecular biology and genetics.
3. P03 PO3: To design and conduct experiments through hypothesis driven scientific research; and to analyze and interpret data to find solutions to molecular biology and genetics related problems.
4. P04 PO4: To work independently and as part of research group in a multidisciplinary team setting
5. P05 PO5: To apply the principles of scientific research ethics and academic integrity
6. P06 PO6: To interpret, explain and present primary scientific literature and novel findings in oral, written and visual presentation formats
7. P07 PO7: To evaluate experimental data and theoretical findings by using critical and analytical thinking techniques.
8. P08 PO8: To use the currently acceptable process of preparing research proposals and manuscripts for publishing in scientific journals.
9. P09 PO9: To apply the principles of molecular biology and genetics in generating/finding solutions to social problems / issues.
10. P10 PO10: To identify and implement environmental and laboratory safety procedures.
11. P11 PO11: To identify and apply the necessary professional skill set in projects and jobs involving independent and competitive careers in academia, industrial, medical or clinical research, science education, scientific writing and communication, health care, health care policy and civil service.

Po-Lo Matrix