{"id":31875,"date":"2023-04-25T02:24:39","date_gmt":"2023-04-25T02:24:39","guid":{"rendered":"https:\/\/www.inspirenignite.com\/vtu\/bmate201-mathematics-for-ees-ii-syllabus-eee-stream-chemistry-group-2022-scheme\/"},"modified":"2023-04-25T02:24:39","modified_gmt":"2023-04-25T02:24:39","slug":"bmate201-mathematics-for-ees-ii-syllabus-eee-stream-chemistry-group-2022-scheme","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/vtu\/bmate201-mathematics-for-ees-ii-syllabus-eee-stream-chemistry-group-2022-scheme\/","title":{"rendered":"BMATE201: Mathematics for EES-II syllabus EEE Stream Chemistry Group 2022 Scheme"},"content":{"rendered":"

Mathematics for EES-II detailed syllabus for EEE Stream Chemistry Group 2022 Scheme curriculum has been taken from the VTUs<\/a> official website and presented for the EEE Stream Chemistry 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 EEE Stream Chemistry Group 2nd Sem scheme and its subjects, do visit EEE Stream Chemistry Group 2nd Sem 2022 Scheme scheme<\/a>. The detailed syllabus of mathematics for ees-ii is as follows. <\/p>\n

Mathematics for EES-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 Space and Linear Transformations^ hours) Importance of Vector Space and Linear Transformations in the field of EC & EE engineering applications. Vector spaces: Definition and examples, subspace, linear span, Linearly independent and dependent sets, Basis and dimension. Linear transformations: Definition and examples, Algebra of transformations, Matrix of a linear transformation. Change of coordinates, Rank and nullity of a linear operator, Rank-Nullity theorem. Inner product spaces and orthogonality. Self-study: Angles and Projections.Rotation, reflection, contraction and expansion.<br \/>\n <i>Applications:<\/i> Image processing, AI & ML, Graphs and networks, Computer graphics. (RBT Levels: L1, L2 and L3)<\/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 EC & EE engineering applications. Solution of algebraic and transcendental equations: Regula-Falsi method and Newton-Raphson method (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, Weddle’s rule.<br \/>\n <i>Applications:<\/i> Estimating the approximate roots, extremum values, area, volume, and surface area. (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 1 Finding gradient, divergent, curl and their geometrical interpretation and Verification of Green\u2019s theorem 2 Computation of basis and dimension for a vector space and Graphical representation of linear transformation 3 Visualization in time and frequency domain of standard functions 4 Computing inverse Laplace transform of standard functions 5 Laplace transform of convolution of two functions 6 Solution of algebraic and transcendental equations by Regula-Falsi and Newton-Raphson method 7 Interpolation\/Extrapolation using Newton\u2019s forward and backward difference formula 8 Computation of area under the curve using Trapezoidal, Simpson\u2019s (1\/3)rd and (3\/8)th rule 9 Solution of ODE of first order and first degree by Taylor\u2019s series and Modified Euler\u2019s method 10 Solution of ODE of first order and first degree by Runge-Kutta 4th order and Milne\u2019s predictor-corrector method<br \/>\n <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>Understand the applications of vector calculus refer to solenoidal, irrotational vectors, lineintegral and surface integral.<\/li>\n<li>Demonstrate the idea of Linear dependence and independence of sets in the vector space, and linear transformation<\/li>\n<li>To understand the concept of Laplace transform and to solve initial value problems.<\/li>\n<li>Apply the knowledge of numerical methods in solving physical and engineering phenomena.<\/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, 3rdEd., 2016.<\/li>\n<li>N.P Bali and Manish Goyal: \u201cA Textbook of Engineering Mathematics\u201d Laxmi Publications, 10thEd., 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<\/ol>\n<h4>10. Gilbert Strang: \u201cLinear Algebra and its Applications\u201d, Cengage Publications, 4th Ed., 2022. 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 EEE Stream Chemistry Group, 2022 Scheme curriculum do visit <a class=\"rank-math-link\" href=\"..\/category\/chemistry-group-eee-stream+2nd-sem\">EEE Stream Chemistry Group 2nd Sem subject syllabuses for 2022 Scheme<\/a>. <\/p>\n<p align=\"justify\">For all EEE Stream Chemistry Group results, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/vtu\/vtu-be-btech-results\/\">VTU EEE Stream Chemistry Group all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics for EES-II detailed syllabus for EEE Stream Chemistry Group 2022 Scheme curriculum has been taken from the VTUs official website and presented for the EEE Stream Chemistry Group students. 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