Calculus 3 Undergraduate Texts In Mathematics Marsden Weinstein Pdf

UNIVERSITY OF DELHI

BACHELOR OF SCIENCE (HONS.) IN MATHEMATICS (B.Sc. (Hons.) Mathematics)

(

Effective from Academic Year 20-- - --)

PROPOSED SYLLABUS

XXXXX Revised Syllabus as approved by Academic Council on XXXX, 2018 and Executive Council on YYYY , 2018

Department of Mathematics, University of Delhi

CONTENTS

Page

About the Department

II. Introduction to CBCS

Scope 4 Definitions 4 CBCS Course Structure for B.Sc. (Hons.) Maths Programme 6 Semester wise Placement of Courses

III. B.Sc. (Hons.) Mathematics Programme Details

Programme Objectives 8

Programme Learning Outcomes 8 Programme Structure 8 Teaching 9 Teaching Pedagogy 9 Eligibility for Admissions 9 Assessment Tasks 9 Assessment of S

tudents' Performance

and Scheme of Examination 9 Pass Percentage & Promotion Criteria: 9 Semester to Semester Progression 9 Conversion of Marks into Grades 9 Grade Points 9 CGPA Calculation 9 Division of Degree into Classes 10 Attendance Requirement 10 Span Period 10 Guidelines for the Award of Internal Assessment Marks 10 B.Sc. (Hons.) Mathematics Programme (Semester Wise) 11 Selection of Elective Courses 12

IV.

Course Wise Content Details for B.Sc. (Hons.) Mathematics Programme

Department of Mathematics, University of Delhi

I. About the Department

The Department of Mathematics, University of Delhi took birth in 1947, with Prof. Ram Behari, an eminent Differential geometer, as Head of the Department. Several distinguished

mathematicians have been part of the Department's long and successful journey s

o far, Prof. R. S. Varma and Prof. U.N. Singh among them. While research activities in Operations Research, Information Theory, Coding Theory, Space Dynamics and Complex Analysis

blossomed under the former's leadership, the latter made the Department a ver

y strong, global research hub for Functional Analysis, Operator Theory and Harmonic Analysis. As the activities of the Department grew exponentially, in 1973, the single department metamorphosed into the Faculty of Mathematical Sciences with four constituent departments: Mathematics, Operations Research, Statistics and Computer Science. The South Campus unit of the Department of Mathematics also came into being in 1973. The Department of Mathematics continues to uphold the high traditions of teaching and research which have shaped it from the very beginning. The Mathematics Department offers a Masters programme in Mathematics besides two research programmes, the M.Phil. and Ph.D. in Mathematics. Nearly hundred students have been awarded Ph.D. degrees in the last five years. The department is also actively involved in

administering the University's undergraduate programmes in Mathematics through constituent

colleges of the University of Delhi. We are supported by grants from DST(FIST), DST(PURSE) and UGC-DRS(SAP). Our excellent and highly experienced faculty, with qualifications from premier institutions and expertise in diverse fields including Algebraic Geometry, Coding Theory, Complex Analysis, Commutative Algebra, Combinatorics, Control Theory, Differential Equations, Dynamical Systems, Ergodic Theory, Field Theory, Fluid Dynamics, Functional Analysis, Harmonic Analysis, Operator Theory, Operator Algebras, Optimization and Topology, has helped us in securing high positions in various national and international rankings. For example, we are ranked 10 in Times Higher Education Ranking in India and 144 in Asia in 2018. Several faculty members are or have been fellows of prestigious national science academies and recipients of awards of excellence from such academies. Many members are also actively involved as consultant/advisor for UGC, DST, CSIR, UPSC, Lok Sabha and are on advisory committees of several universities in the country. The Bachelors programme, B.Sc. (Hons.) Mathematics aims to build strong foundations in core areas of higher mathematics in both the pure and applied areas. It is meant for students who would typically take up careers involving mathematical research or mathematical skills

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in academia or in industry. The training imparted to the students helps them master the art of problem solving, developing logical reasoning and computational capabilities which are essential traits in all walks of life. Additionally, the knowledge of mathematical modeling and computational training which the students acquire during the programme makes them highly sought after. In keeping with the demands of industry and academia, the syllabus is updated regularly, with inputs taken from various stakeholders including students, alumni and parents at different stages of the preparation of the syllabus.