{"id":31633,"date":"2023-04-25T02:06:14","date_gmt":"2023-04-25T02:06:14","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/bmats201-mathematics-for-cse-stream-ii-syllabus-cse-stream-physics-group-2022-scheme\/"},"modified":"2023-04-25T02:06:14","modified_gmt":"2023-04-25T02:06:14","slug":"bmats201-mathematics-for-cse-stream-ii-syllabus-cse-stream-physics-group-2022-scheme","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/bmats201-mathematics-for-cse-stream-ii-syllabus-cse-stream-physics-group-2022-scheme\/","title":{"rendered":"BMATS201: Mathematics for CSE Stream-II syllabus CSE Stream Physics Group 2022 Scheme"},"content":{"rendered":"

Mathematics for CSE Stream-II detailed syllabus for CSE Stream Physics Group 2022 Scheme curriculum has been taken from the VTUs<\/a> official website and presented for the CSE 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. <\/p>\n

For CSE Stream Physics Group 2nd Sem scheme and its subjects, do visit CSE Stream Physics Group 2nd Sem 2022 Scheme scheme<\/a>. The detailed syllabus of mathematics for cse stream-ii is as follows. <\/p>\n

Mathematics for CSE Stream-II<\/title><\/p>\n<h4>Course Objectives:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all Syllabus, QPs and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Teaching-Learning Process<\/h4>\n<p> <i>Pedagogy (General Instructions):<\/i> These are sample Strategies, which teachers can use to accelerate the attainment of the various course outcomes.<\/p>\n<ol>\n<li>In addition to the traditional lecture method, different types of innovative teaching methods may be adopted so that the delivered lessons shall develop students\u2019 theoretical and applied mathematical skills.<\/li>\n<li>State the need for Mathematics with Engineering Studies and Provide real-life examples.<\/li>\n<li>Support and guide the students for self-study.<\/li>\n<li>You will also be responsible for assigning homework, grading assignments and quizzes, and documenting students’ progress.<\/li>\n<li>Encourage the students to group learning to improve their creative and analytical skills.<\/li>\n<li>Show short related video lectures in the following ways:\n<ul>\n<li>As an introduction to new topics (pre-lecture activity).<\/li>\n<li>As a revision of topics (post-lecture activity).<\/li>\n<li>As additional examples (post-lecture activity).<\/li>\n<li>As an additional material of challenging topics (pre-and post-lecture activity).<\/li>\n<li>As a model solution of some exercises (post-lecture activity).<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h4>Module 1:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all Syllabus, QPs and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Module 2:<\/h4>\n<p> Vector Calculus(8 hours) Introduction to Vector Calculus in Computer Science & Engineering. Scalar and vector fields. Gradient, directional derivative, curl and divergence – physical interpretation, solenoidal and irrotational vector fields. Problems. Curvilinear coordinates: Scale factors, base vectors, Cylindrical polar coordinates, Spherical polar coordinates, transformation between cartesian and curvilinear systems, orthogonality. Problems.<br \/>\n <i>Self-Study:<\/i> Vector integration and Vector line integral.<br \/>\n <i>Applications:<\/i> Conservation of laws, Electrostatics, Analysis of streamlines.<\/p>\n<h4>Module 3:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all Syllabus, QPs and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Module 4:<\/h4>\n<p> Numerical Methods -1(8 hours) Importance of numerical methods for discrete data in the field of computer science & engineering. Solution of algebraic and transcendental equations – Regula-Falsi and Newton-Raphson methods (only formulae). Problems. Finite differences, Interpolation using Newton\u2019s forward and backward difference formulae, Newton\u2019s divided difference formula and Lagrange\u2019s interpolation formula (All formulae without proof). Problems. Numerical integration: Trapezoidal, Simpson’s (1\/3)rd and (3\/8)th rules(without proof). Problems.<br \/>\n <i>Self-Study:<\/i> Bisection method, Lagrange\u2019s inverse Interpolation.<br \/>\n <i>Applications:<\/i> Estimating the approximate roots, extremum values, Area, volume, and surface area. Errors in finite precision. (RBT Levels: L1, L2 and L3)<\/p>\n<h4>Module 5:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all Syllabus, QPs and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>List of Laboratory Experiments<\/h4>\n<p> (2 hours\/week per batch\/ batch strength 15) 10 lab sessions + 1 repetition class + 1 Lab Assessment<\/p>\n<ol>\n<li>Program to compute area, surface area, volume and centre of gravity<\/li>\n<li>Evaluation of improper integrals<\/li>\n<li>Finding gradient, divergent, curl and their geometrical interpretation<\/li>\n<li>Computation of basis and dimension for a vector space and Graphical representation of linear transformation<\/li>\n<li>Computing the inner product and orthogonality<\/li>\n<li>Solution of algebraic and transcendental equations by Ramanujan\u2019s, Regula-Falsi and Newton-Raphson method<\/li>\n<li>Interpolation\/Extrapolation using Newton\u2019s forward and backward difference formula<\/li>\n<li>Computation of area under the curve using Trapezoidal, Simpson\u2019s (1\/3)rd and (3\/8)th rule<\/li>\n<li>Solution of ODE of first order and first degree by Taylor\u2019s series and Modified Euler\u2019s method<\/li>\n<li>Solution of ODE of first order and first degree by Runge-Kutta 4th order and Milne\u2019s predictor-corrector method<\/li>\n<\/ol>\n<p> <i>Suggested Software\u2019S:<\/i> Mathematica\/MatLab\/Python\/Scilab<\/p>\n<h4>Course Outcomes:<\/h4>\n<p> (Course Skill Set) At the end of the course the student will be able to:<\/p>\n<ol>\n<li>Apply the concept of change of order of integration and variables to evaluate multiple integrals and their usage in computing area and volume.<\/li>\n<li>Understand the applications of vector calculus refer to solenoidal, and irrotational vectors.Orthogonal curvilinear coordinates.<\/li>\n<li>Demonstrate the idea of Linear dependence and independence of sets in the vector space, and linear transformation<\/li>\n<li>Apply the knowledge of numerical methods in analysing the discrete data and solving the physical and engineering problems.<\/li>\n<li>Get familiarize with modern mathematical tools namely MATHEMATICA\/ MATLAB \/PYTHON\/ SCILAB<\/li>\n<\/ol>\n<h4>Text Books:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all Syllabus, QPs and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px;text-align:center\"><\/a><\/h4>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>V. Ramana: \u201cHigher Engineering Mathematics\u201d McGraw-Hill Education, 11th Ed., 2017<\/li>\n<li>Srimanta Pal & Subodh C.Bhunia: \u201cEngineering Mathematics\u201d Oxford University Press, 3rd Ed., 2016.<\/li>\n<li>N.P Bali and Manish Goyal: \u201cA Textbook of Engineering Mathematics\u201d Laxmi Publications, 10th Ed., 2022.<\/li>\n<li>C. Ray Wylie, Louis C. Barrett: \u201cAdvanced Engineering Mathematics\u201d McGraw – Hill Book Co., New York, 6th Ed., 2017.<\/li>\n<li>Gupta C.B, Sing S.R and Mukesh Kumar: \u201cEngineering Mathematic for Semester I and II\u201d, Mc-Graw Hill Education(India) Pvt. Ltd 2015.<\/li>\n<li>H. K. Dass and Er. Rajnish Verma: \u201cHigher Engineering Mathematics\u201d S. Chand Publication, 3rd Ed., 2014.<\/li>\n<li>James Stewart: \u201cCalculus\u201d Cengage Publications, 7thEd., 2019.<\/li>\n<li>David C Lay: \u201cLinear Algebra and its Applications\u201d, Pearson Publishers, 4th Ed., 2018.<\/li>\n<li>Gareth Williams: \u201cLinear Algebra with applications\u201d, Jones Bartlett Publishers Inc., 6th Ed., 2017.<\/li>\n<li>Gilbert Strang: \u201cLinear Algebra and its Applications\u201d, Cengage Publications, 4th Ed., 2022.<\/li>\n<\/ol>\n<h4>Web links and Video Lectures (e-Resources):<\/h4>\n<ul>\n<li>http:\/\/nptel.ac.in\/courses.php?disciplineID=111<\/li>\n<li>http:\/\/www.class-central.com\/subject\/math(MOOCs)<\/li>\n<li>http:\/\/academicearth.org\/<\/li>\n<li>VTU e-Shikshana Program<\/li>\n<li>VTU EDUSAT Program<\/li>\n<\/ul>\n<h4>Activity-Based Learning<\/h4>\n<p> (Suggested Activities in Class)\/ Practical-Based Learning<\/p>\n<ul>\n<li>Quizzes<\/li>\n<li>Assignments<\/li>\n<li>Seminar<\/li>\n<\/ul>\n<p align=\"justify\">For detailed syllabus of all other subjects of CSE Stream Physics Group, 2022 Scheme curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/physics-group-cse-stream+2nd-sem\">CSE Stream Physics Group 2nd Sem subject syllabuses for 2022 Scheme<\/a>. <\/p>\n<p align=\"justify\">For all CSE Stream Physics Group results, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/vtu\/vtu-be-btech-results\/\">VTU CSE Stream Physics Group all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics for CSE Stream-II detailed syllabus for CSE Stream Physics Group 2022 Scheme curriculum has been taken from the VTUs official website and presented for the CSE Stream Physics Group […]<\/p>\n","protected":false},"author":2298,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[3,97],"tags":[],"class_list":["post-31633","post","type-post","status-publish","format-standard","hentry","category-2nd-sem","category-physics-group-cse-stream"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/31633","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/users\/2298"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/comments?post=31633"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/posts\/31633\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/media?parent=31633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/categories?post=31633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/vtu\/wp-json\/wp\/v2\/tags?post=31633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}