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Sc. (Honors) Mathematics - Numerical Analysis - Semester-IV","","B. Sc. (Honors) Mathematics, Semester-IV, course on Numerical Analysis within a CBCS/OBE framework, outlining course code 21BSM41, contact hours, total pedagogy hours, credit value, and marks split between CIE and SEE. The syllabus covers numerical solutions for algebraic and transcendental equations, linear systems, interpolation and extrapolation techniques, numerical differentiation and integration, and initial/boundary value problems. It specifies learning objectives, pedagogy strategies, module-wise content, self-study tasks, teaching-learning processes, and assessment rules for unit tests and assignments.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/b-sc-honors-mathematics-numerical-analysis-semester-iv/388406/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/b-sc-honors-mathematics-numerical-analysis-semester-iv/388406.png","ImageObject",300,407,{"name":92,"@type":93},"Cart","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-25",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the course learning objectives for Numerical Analysis in Semester-IV?","Question",{"text":112,"@type":113},"The course enables students to obtain numerical solutions for algebraic and transcendental equations, solve system of linear equations accurately, apply interpolation and extrapolation methods, handle initial and boundary value problems in differential equations, and use numerical methods in real-life problems.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which teaching-learning process is suggested for each module?",{"text":117,"@type":113},"The syllabus specifies teaching-learning activities such as chalk and talk and PowerPoint presentations, along with module-related self-study tasks and error analysis where applicable.",{"name":119,"@type":110,"acceptedAnswer":120},"How are CIE and SEE marks weighted and how are unit tests and assignments scheduled?",{"text":121,"@type":113},"Continuous Internal Evaluation (CIE) carries 50% and Semester End Exam (SEE) carries 50%. CIE requires three unit tests (20 marks each) at the end of the 5th, 10th, and 15th weeks, plus two assignments (10 marks each) at the end of the 4th and 9th weeks.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},388406,1790601303,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},18829141979164,"https://eur-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","B. Sc. (Honors) Mathematics  \nChoice Based Credit System (CBCS) and Outcome Based Education (OBE)  \nSEMESTER-IV  \n\n| Numerical Analysis |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| Course Code |  |  | 21BSM41 | CIE Marks | 50 |\n| Teaching Hours/Week (L:T:P: S) |  |  | 2:2:0:0 | SEE Marks | 50 |\n| Total Hours of Pedagogy |  |  | 40 | Total Marks | 100 |\n| Credits |  |  | 03 | Exam Hours | 3 hours |\n| Course Learning Objectives: This course will enable the students to:\u003Cbr>• Obtain numerical solutions of algebraic and transcendental equations.\u003Cbr>• Find numerical solutions of system of linear equations and check the accuracy of the solutions.\u003Cbr>• Learn about various interpolating and extrapolating methods.\u003Cbr>• Solve initial and boundary value problems in differential equations using numerical methods.\u003Cbr>• Apply various numerical methods in real life problems. |  |  |  |  |  |\n| Pedagogy (General Instructions): These are sample Strategies, which teachers can use to accelerate the attainment of the various course outcomes.\u003Cbr>• In addition to the traditional lecture method, different types of innovative teaching methods may be adopted so that the delivered lesson shall develop students theoretical and applied mathematical skills.\u003Cbr>• State the need of Mathematics in Science with real-life examples.\u003Cbr>• Support and guide the students for self-study.\u003Cbr>• You will also be responsible for assigning homework, grading assignments and quizzes, and documenting students’ progress.\u003Cbr>• Encourage the students for group learning to improve their creative and analytical skills.\u003Cbr>• Show short related video lectures in following ways:\u003Cbr>• As an introduction to new topics (pre-lecture activity) .\u003Cbr>• As a revision of topics (post-lecture activity) .\u003Cbr>• As additional examples (post-lecture activity) .\u003Cbr>• As an additional material of challenging topics (pre and post lecture activity) .\u003Cbr>• As a model solution of some exercises (post-lecture activity) . |  |  |  |  |  |\n| Module-1: Numerical Methods for Solving Algebraic and Transcendental Equations |  |  |  |  |  |\n| Round-off error and computer arithmetic, Local and global truncation errors, Algorithmsand convergence; Bisection method, False position method, Fixed point iteration method, Newton’s method and Secant method for solving equations. (8 Hours) Self-study: Error analysis for the above methods. |  |  |  |  |  |\n| (RBT Levels: L1, L2 and L3) |  |  |  |  |  |\n| Teaching-Learning Process |  | Chalk and talk method / Power Point Presentation |  |  |  |\n| Module-2: Numerical Methods for Solving Linear System of equations |  |  |  |  |  |\n| Partial and scaled partial pivoting, Lower and upper triangular (LU) decomposition of a matrix and its applications, Cholesky’s method and Crout’s methods. Gauss-Jacobi, Gauss-Seidel and successive over-relaxation (SOR) methods. (8 Hours) Self-study: Thomas method for tridiagonal systems. |  |  |  |  |  |\n| (RBT Levels: L1, L2 and L3) |  |  |  |  |  |\n| Teaching-Learning Process | Chalk and talk method / Power Point Presentation |  |  |  |  |\n\n\n| Module 3: Interpolation |  |  |\n| --- | --- | --- |\n| Interpolation with equal intervals: Finite difference operators, Newton-Gregory forward and backward difference interpolations.\u003Cbr>Interpolation with unequal intervals: Newton divided difference interpolation, Lagrange interpolation.\u003Cbr>Piecewise linear interpolation: Cubic spline interpolation. (8 Hours)\u003Cbr>Self-study: Lagrange Inverse interpolation. |  |  |\n| (RBT Levels: L1, L2 and L3) |  |  |\n| Teaching-Learning Process |  | Chalk and talk method / Power Point Presentation |\n| Module-4: Numerical Differentiation and Integration |  |  |\n| Numerical differentiation: First order and higher order approximation for first derivative, Approximation for second derivative.\u003Cbr>Numerical integration: Generalised quadrature formula, Trapezoidal rule, Simpson's rules and error analysis. (8 Hours) Self-study: Weddle’s rule and Problems. |  |  |\n| ","cbCaii06TJ9QEW4G","https://ap.wps.com/l/cbCaii06TJ9QEW4G","pdf",1981635,32,"English","# Course Details\n## Course Learning Objectives\n## Pedagogy (General Instructions)\n# Modules\n## Module-1: Numerical Methods for Solving Algebraic and Transcendental Equations\n## Module-2: Numerical Methods for Solving Linear System of equations\n## Module 3: Interpolation\n## Module-4: Numerical Differentiation and Integration\n## Module-5: Initial and Boundary Value Problems of Differential Equations\n# Assessment Details\n## CIE and SEE Weightage\n## Unit Tests and Assignments","[{\"question\":\"What are the course learning objectives for Numerical Analysis in Semester-IV?\",\"answer\":\"The course enables students to obtain numerical solutions for algebraic and transcendental equations, solve system of linear equations accurately, apply interpolation and extrapolation methods, handle initial and boundary value problems in differential equations, and use numerical methods in real-life problems.\"},{\"question\":\"Which teaching-learning process is suggested for each module?\",\"answer\":\"The syllabus specifies teaching-learning activities such as chalk and talk and PowerPoint presentations, along with module-related self-study tasks and error analysis where applicable.\"},{\"question\":\"How are CIE and SEE marks weighted and how are unit tests and assignments scheduled?\",\"answer\":\"Continuous Internal Evaluation (CIE) carries 50% and Semester End Exam (SEE) carries 50%. CIE requires three unit tests (20 marks each) at the end of the 5th, 10th, and 15th weeks, plus two assignments (10 marks each) at the end of the 4th and 9th weeks.\"}]","B. Sc. (Honors) Mathematics - Numerical Analysis - Semester-IV | PDF",1790302903,81]