BMATE101: Mathematics for EEE Streams-I syllabus EEE Stream Physics Group 2022 Scheme

Mathematics for EEE Streams-I detailed syllabus for EEE Stream Physics Group 2022 Scheme curriculum has been taken from the VTUs official website and presented for the EEE Stream Physics Group students. For course code, course name, duration, number of credits for a course and other scheme related information, do visit full semester subjects post given below.

For EEE Stream Physics Group 1st Sem scheme and its subjects, do visit EEE Stream Physics Group 1st Sem 2022 Scheme scheme. The detailed syllabus of mathematics for eee streams-i is as follows.

Course Objectives:

Download the iStudy App for all Syllabus, QPs and other updates.

Teaching-Learning Process

Pedagogy (General Instructions): These are sample Strategies, which teachers can use to accelerate the attainment of the various course outcomes.

1. In addition to the traditional lecture method, different types of innovative teaching methods may be adopted so that the delivered lessons shall develop students’ theoretical and applied mathematical skills.
2. State the need for Mathematics with Engineering Studies and Provide real-life examples.
3. Support and guide the students for self-study.
4. You will also be responsible for assigning homework, grading assignments and quizzes, and documenting students’ progress.
5. Encourage the students to group learning to improve their creative and analytical skills.
6. Show short related video lectures in the following ways:
   • As an introduction to new topics (pre-lecture activity).
   • As a revision of topics (post-lecture activity).
   • As additional examples (post-lecture activity).
   • As an additional material of challenging topics (pre-and post-lecture activity).
   • As a model solution of some exercises (post-lecture activity).

Module 1:

Download the iStudy App for all Syllabus, QPs and other updates.

Module 2:

Series Expansion and Multivariable Calculus (8 hours) Introduction of series expansion and partial differentiation in EC & EE Engineering applications. Taylor’s and Maclaurin’s series expansion for one variable (Statement only) – problems. Indeterminate forms – L’Hospital’s rule – Problems. Partial differentiation, total derivative – differentiation of composite functions. Jacobian and problems. Maxima and minima for a function of two variables. Problems.
Self-Study: Euler’s Theorem and problems. Method of Lagrange’s undetermined multipliers with single constraint.
Applications: Series expansion in communication signals, Errors and approximations, and vector calculus. (RBT Levels: L1, L2 and L3)

Module 3:

Download the iStudy App for all Syllabus, QPs and other updates.

Module 4:

Integral Calculus(8 hours) Introduction to Integral Calculus in EC & EE Engineering applications. Multiple Integrals: Evaluation of double and triple integrals, evaluation of double integrals by change of order of integration, changing into polar coordinates. Applications to find Area and Volume by double integral.Problems. Beta and Gamma functions: Definitions, properties, relation between Beta and Gamma functions. Problems.
Self-Study: Volume by triple integration, Center of gravity.
Applications: Antenna and wave propagation, Calculation of optimum power in electrical circuits, field theory. (RBT Levels: L1, L2 and L3)

Module 5:

Download the iStudy App for all Syllabus, QPs and other updates.

List of Laboratory Experiments

(2 hours/week per batch/ batch strength 15) 10 lab sessions + 1 repetition class + 1 Lab Assessment

1. 2D plots for Cartesian and polar curves
2. Finding angle between polar curves, curvature and radius of curvature of a given curve
3. Finding partial derivatives and Jacobian
4. Applications to Maxima and Minima of two variables
5. Solution of first-order ordinary differential equation and plotting the solution curves
6. Program to compute area, volume and centre of gravity
7. Evaluation of improper integrals
8. Numerical solution of system of linear equations, test for consistency and graphical representation
9. Solution of system of linear equations using Gauss-Seidel iteration
10. Compute eigenvalues and eigenvectors and find the largest and smallest eigenvalue by Rayleigh power method.

Suggested Software’S: Mathematica/MatLab/Python/Scilab

Course Outcomes:

(Course Skill Set) At the end of the course the student will be able to:

1. apply the knowledge of calculus to solve problems related to polar curves and learn the notion of partial differentiation to compute rate of change of multivariate functions
2. analyze the solution of linear and nonlinear ordinary differential equations
3. apply the concept of change of order of integration and variables to evaluate multiple integrals and their usage in computing area and volume
4. make use of matrix theory for solving the system of linear equations and compute eigenvalues and eigenvectors
5. familiarize with modern mathematical tools namely MATHEMATICA/ MATLAB/ PYTHON/SCILAB

Text Books:

Download the iStudy App for all Syllabus, QPs and other updates.

Reference Books:

1. V. Ramana: “Higher Engineering Mathematics” McGraw-Hill Education, 11th Ed., 2017
2. Srimanta Pal & Subodh C.Bhunia: “Engineering Mathematics” Oxford University Press, 3rd Ed., 2016.
3. N.P Bali and Manish Goyal: “A Textbook of Engineering Mathematics” Laxmi Publications, 10th Ed., 2022.
4. C. Ray Wylie, Louis C. Barrett: “Advanced Engineering Mathematics” McGraw – Hill Book Co., New York, 6th Ed., 2017.
5. Gupta C.B, Sing S.R and Mukesh Kumar: “Engineering Mathematic for Semester I and II”, Mc-Graw Hill Education(India) Pvt. Ltd 2015.
6. H. K. Dass and Er. Rajnish Verma: “Higher Engineering Mathematics” S. Chand Publication, 3rd Ed., 2014.
7. James Stewart: “Calculus” Cengage Publications, 7thEd., 2019.
8. David C Lay: “Linear Algebra and its Applications”, Pearson Publishers, 4th Ed., 2018.
9. Gareth Williams: “Linear Algebra with Applications”, Jones Bartlett Publishers Inc., 6th Ed., 2017.
10. Gilbert Strang: “Linear Algebra and its Applications”, Cengage Publications, 4th Ed. 2022.

Web links and Video Lectures (e-Resources):

• http://nptel.ac.in/courses.php?disciplineID=111
• http://www.class-central.com/subject/math(MOOCs)
• http://academicearth.org/
• VTU e-Shikshana Program
• VTU EDUSAT Program

Activity Based Learning

(Suggested Activities in Class)/ Practical Based learning

• Quizzes
• Assignments
• Seminar

For detailed syllabus of all other subjects of EEE Stream Physics Group, 2022 Scheme curriculum do visit EEE Stream Physics Group 1st Sem subject syllabuses for 2022 Scheme.

For all EEE Stream Physics Group results, visit VTU EEE Stream Physics Group all semester results direct link.