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Department of Mathematics Choice Based Credit System PSGR KRISHNAMMAL COLLEGE FOR WOMEN College with Potential for Excellence (An Autonomous College - Affiliated to Bharathiar University) (Re - Accredited with ‘A’ Grade by NAAC) An ISO 9001 : 2008 Certified Institution Peelamedu, Coimbatore 641 004. DEPARTMENT OF MATHEMATICS CHOICE BASED CREDIT SYSTEM & OUTCOME BASED EDUCATION SYLLABUS SYLLABUS FOR B.Sc MATHEMATICS 2016-17 1 PSGR KRISHNAMMAL COLLEGE FOR WOMEN College with Potential for Excellence (An Autonomous College - Affiliated to Bharathiar University) (Re - Accredited with ‘A’ Grade by NAAC) An ISO 9001 : 2008 Certified Institution Peelamedu, Coimbatore 641 004. Program Educational Objectives: Graduates from B.SC Mathematics Program are expected to achieve the following Program Educational Objectives within few years of graduation: 1. Graduates will have the capability to continue their formal education and successfully complete an advanced degree. 2. Graduates will have successful careers using their mathematical and statistical skills. 3. Graduates will have necessary computer skills and knowledge to excel in their professional career in related disciplines. 4. Graduates will Continue their professional development or pursue formal education to earn advanced degrees and / certifications. 5. Graduates will become leaders in their associated organization with team building and managing capabilities. Programme Specific Objectives Graduates will develop necessary computer skills and knowledge to enhance their employability Graduated will became good team players and team leaders. Graduated will acquire adequate mathematical and statistical skills which will enable them to have successful careers Graduates will apply their knowledge in modern industry, teaching, and research. Graduates will become effective collaborators and innovators, leading or participating in ventures that address social, technical and business challenges. Graduates will promote the culture of interdisciplinary research among all disciplines and applied mathematics 2 Programme Outcomes B.Sc. Mathematics will enable the students to be successful in A career that uses mathematics in business, industry or government Teaching mathematics at all levels Carrying out research in mathematics or fields related to mathematics. Competitive examinations like GATE, GRE, SET/NET, TNPSC, UPSC etc. On the successful completion of the programme, the following are the expected outcomes. PROGRAMME OUTCOMES PO PO Statement Number PO1. Students will acquire critical thinking skills to solve problems that can be modeled mathematically. PO2. Students will be able to read and construct mathematical arguments and proofs PO3. Gain proficiency in using computer technology appropriately to solve problems and to promote understanding PO4. Will be able to apply mathematical knowledge to a career related to mathematical sciences in post graduate cum research studies PO5. Students should see a number of contrasting but complementary points of view in the topics (continuous and discrete), techniques (algebraic and geometric), and approaches (theoretical and applied) to mathematics PO6. Communicate mathematics to others in both oral and written form with precision, clarity and organization PO7. Study at least one area of mathematics in depth, drawing on ideas and tools from previous coursework to extend their understanding e.g. real analysis and complex analysis, number theory and abstract algebra, statics and dynamics, statistics and applied statistics or calculus and differential equations and advanced modeling 3 PSGR KRISHNAMMAL COLLEGE FOR WOMEN College with Potential for Excellence (An Autonomous College - Affiliated to Bharathiar University) (Re - Accredited with ‘A’ Grade by NAAC) An ISO 9001 : 2008 Certified Institution Peelamedu, Coimbatore 641 004. DEPARTMENT OF MATHEMATICS Scheme of Examination (Applicable to students admitted during the academic year 2016 – 2017) Examination Marks Subject Title of the Paper Credits Part Code CA ESE (in hours) Semester TOTAL Contact Hours Tutorial Hours Duration Examinationof Instruction hours per week TAM1601/ I I HIN1601/ Language Paper I 6 86 4 3 40 60 100 3 FRE1601 ENG1601/ English Paper I II 6 86 4 3 40 60 100 3 ENG16F1 Functional English Paper I II TH16C01 Classical Algebra with GeoGebra 5 71 4 3 40 60 100 4 I TH16C02 Calculus and SciLab 5 71 4 3 40 60 100 4 TH16A01/ Allied – Mathematical Statistics I/ HI16A01/ Principles of Modern Govt/ ES16A01/ Indian Economic Development / 6 86 4 3 40 60 100 5 ES16A02/ International Marketing/ ENG16A01 English through Classics NME16B1/ Basic Tamil/ I 28/ 2/ 50/5 50/5 100/1 NME16A1/ Advanced Tamil / 2 3 2 V 26 2 0 0 00 NME18ES Introduction to Entrepreneurship TAM1602/ II I HIN1602/ Language Paper II 6 86 4 3 40 60 100 3 FRE1602 ENG1602/ English Paper II II 6 86 4 3 40 60 100 3 ENG16F2 Functional English Paper II II Differential Equations, Laplace TH16C03 5 71 4 3 40 60 100 4 I Transforms and SciLab TH16C04 Analytical Geometry with 5 71 4 3 40 60 100 4 4 Geogebra Allied - Mathematical Statistics II / TH16A05/ Economic Analysis / ES16A03/ Econometrics/ ES16A04/ Monetary Economics / 6 86 4 3 40 60 100 5 ES16A05/ Indian Constitution/ HI16A03/ English for secretarial practice ENG16A01 REG16EE Effective English Communication 2 100 2 I NME16B2/ 28/ 2/ V Basic Tamil/Advanced Tamil 2 3 25 100 100 2 NME16A2 26 4 ** Open Course(Online Courses) - - - - - - - S el f V NM12GAW General Awareness st -- 100 -- 100 -- I u d y TAM1603/ HIN1603/ Language Paper III 6 86 4 3 40 60 100 3 III I FRE1603 Language through Literature level ENG1603/ II III/ Language through Literature 5 71 4 3 40 60 100 3 ENG16F3 Functional Level III II TH16C05 Integral Transforms with SCI lab 3 41 4 3 40 60 100 4 I TH16C06 Statics with GNU - FISICAL lab 4 56 4 3 40 60 100 5 PS16A03/ Allied -Physics / PLO16A01/ Botany / 4 56 4 3 40 60 75 4 AS16A01 Zoology / Paper I PS16AP1/ Allied Physics PL16AP1/ Botany / 3 45 -- -- -- -- -- -- AS16AP1 Zoology / Practicals SB16MA01 SBS - Fundamentals of Data 2 28 1 2 -- -- -- - III Science & R Programming SB16MAP1 “R” programming practical 1 15 - - - - - - NM14VHR Value Education and Human Rights 2 26 4 2 -- -- 100 2 Job Oriented Course -- 3 -- -- Grade -- TAM1604/ IV I HIN1604/ Language Paper IV 5 71 4 3 40 60 100 3 FRE1604 Language through Literature level ENG1604/ IV/ II 6 86 4 3 40 60 100 3 ENG16F4 Language through Literature Functional Level IV II TH16C07 Trigonometry, Vector Calculus , 3 41 4 3 40 60 100 4 5 I Tensors and Maple applications Dynamics with GNU – FISICAL TH16C08 4 56 4 3 40 60 100 5 lab PS16A04/ Allied –Physics / PL16A02/ Botany / 4 56 4 3 40 60 75 4 AS16A02 Zoology / Paper II PS16AP1/ Allied Physics/ PL16AP1/ Botany/ 3 45 3 10 40 50 2 AS16AP1 Zoology Practicals SB16MA01 SBS - Fundamentals of Data 1 14 1 2 25 75 100 4 IV Science & R Programming SB16MAP1 “R” programming practical 2 30 -- 2 40 60 100 2 NSS/NCC/YRC/ECO watch club / -- -- -- -- 100 1 YiNET/ Rotract/ Sports & Games I Internship Two weeks 100 2 V I NM12EVS Environmental Studies 2 26 4 2 -- -- 100 2 V IV Community Oriented Service - - - - - - - Grade V II 10 TH16C09 Real Analysis with Tableau 7 4 3 40 60 100 5 I 1 10 TH16C10 Abstract Algebra with Maple 7 4 3 40 60 100 5 1 Elective I- Number Theory and TH16E01/ 10 Numerical Methods with C/ 7 4 3 40 60 100 4 TH16E02 1 Graph Theory with open Modelica TH16PROJ Group Project 4 60 20 80 100 5 Viva Diss ertat ion SB16MA02 SBS – Data Visualization and 2 29 1 -- -- -- -- Tableau SBS –Practical II SB16MAP2 1 15 NM16IS1/ Information Security Level I / 2 26 4 3 40 60 100 - NM16IS2 Level II TH16AC1 Advanced learners‟ course – -- 3 25 75 100* 5* Astronomy I TH16AC2 Fuzzy Mathematics I -- 3 25 75 100* 5* TH16AC3 Topics in Fluid Dynamics I -- 3 25 75 100* 5* TH16CE Comprehensive Examination Online Examination Grade -- Submi ssion Supportive Course -- -- -- -- -- of Certifi 6 cate II 86 4 VI I TH16C11 Complex Analysis with Tableau 6 3 40 60 100 5 TH16C12 Linear Algebra with Maple 6 86 4 3 40 60 100 5 10 TH16C13 Operations Research with Tora 7 4 3 40 60 100 5 1 Library 1 -- -- -- -- -- TH16E03/ Elective II – Mathematical 10 TH16E04 Modelling with open Modelica / 7 4 3 40 60 100 5 1 Discrete Mathematics TH16AC4 Advanced learners‟ course – -- 3 25 75 100* 5* Astronomy II TH16AC5 Fuzzy Mathematics II -- 3 25 75 100* 5* TH16AC6 Topics in Fluid Dynamics II -- 3 25 75 100* 5* SB16MA02 SBS – Data Visualization and 1 14 1 2 25 75 100 4 Tableau SB16MAP2 Practical II 2 28 2 2 40 60 100 2 Total 3800 140 ** Outside Class Hours QUESTION PAPER PATTERN CORE & ALLIED PAPERS Continuous Internal Assessment : 50 Marks SECTION MARKS TOTAL A – 5 X 2 Marks 10 B – 4 X 5 Marks 20 50 C - 2/3 X 10 Marks 20 End Semester Examination : 100 Marks SECTION WORD LIMIT MARKS TOTAL One or two A-15 X 2 Marks 30 sentences B - 6/8 X 5 Marks 250 30 100 C - 4/6 X 10 Marks 500 40 SKILL BASED SUBJECT Continuous Internal Assessment : 25 Marks SECTION MARKS TOTAL A – 4 / 6 X 4 Marks 16 25 B – 1 / 2 X 9 Marks 9 End Semester Examination : 50 Marks SECTION MARKS TOTAL A- 4 / 6 X 5 Marks 20 50 7 B – 2 / 3 X 15 Marks 30 ADVANCED LEARNERS COURSE (ALC) Continuous Internal Assessment : 25 Marks SECTION MARKS TOTAL A – 4 / 6 X 4 Marks 16 25 B – 1 / 2 X 9 Marks 9 End Semester Examination : 75 Marks SECTION MARKS TOTAL A-5/8X5=25 Marks 25 75 B – 5/8X10=50 Marks 50 VALUE EDUCATION AND HUMAN RIGHTS / WOMEN STUDIES / AMBEDKAR STUDIES / GANDHIAN STUDIES / ENTREPRENEURSHIP / ENVIRONMENTAL STUDIES Continuous Internal Assessment : 50 Marks SECTION MARKS TOTAL A – 4 / 6 X 5 Marks 20 50 B – 2 /3 X 15 Marks 30 Value Education and Human Rights & Environmental Studies two internal tests will be conducted for 50 marks each and the total marks secured will be equated to a maximum of 75 marks and 25 marks is allotted for project / group discussion / presentation of a report.
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