Preamble | B. Sc. (Maths Hons.)
The SGT University has brought into force the revised syllabi as per the Credit Based Semester and Grading system for the First year B. Sc. Programme in Mathematics from the academic year 2015-2016. Mathematics has been fundamental to the development of science and technology. In recent decades, the extent of application of Mathematics to real world problems has increased by leaps and bounds. Taking into consideration the rapid changes in science and technology and new approaches in different areas of mathematics and related subjects like Physics, Statistics and Computer Sciences, the board of studies in Mathematics with concern of teachers of Mathematics from Universities has prepared the syllabus of B.Sc. Mathematics. The present syllabi of B.Sc. for Semester I and Semester II has been designed as per U. G. C. Model curriculum so that the students learn Mathematics needed for these branches, learn basic concepts of Mathematics and are exposed to rigorous methods gently and slowly.
Give the students a sufficient knowledge of fundamental principles, methods and a clear perception of innumerous power of mathematical ideas and tools and know how to use them by modeling, solving and interpreting. Reflecting the broad nature of the subject and developing mathematical tools for continuing further study in various fields of science
Enhancing students’ overall development and to equip them with mathematical modeling abilities, problem solving skills, creative talent and power of communication necessary for various kinds of employment. A student should get adequate exposure to global and local concerns that explore them many aspects of Mathematical Sciences.
Duration of Study:
Three year program (with theory , practical & experiential learning in various aspects of Science fields)
The candidate seeking admission to B.Sc.(Hons.) Mathematics course must have passed Senior Secondary Examination (10+2) of the Board of School Education, Haryana, Bhiwani or an examination recognized equivalent thereto with at least 45 % marks (40% marks in case of SC/ST candidates of Haryana State only) as Mathematics as one of the subjects in (10+2) Examination.
Note: The age of the candidate shall be determined as per entry in the Matriculation/Secondary School Examination certificate or any other examination recognized equivalent thereto.
Jobs directly related to your degree include:
- Data analyst
- Investment analyst
- Research scientist (maths)
- Secondary school teacher
- Systems developer
Jobs where your degree would be useful include:
- Civil Service fast streamer
- Operational researcher
- Quantity surveyor
- Software tester
The curriculum based on interdisciplinary approach, is an integrated system of learning. The major thrust remains on practical and problem based learning. The students’ involvement and interaction with the problems faced by them in the Science & Technology will be the main stay of the teaching strategies.
It is assumed that there will be 926 (approximately) teaching hours in one year period of the degree course. Breakup of these hours will be for theory and practical classes. The theory teaching will be of 720 hours and practical will be of 206 hours. The teaching will be on various topics and subtopics.
|Heads||Semester wise||Total hour/year|
|Theory classes||28 hours /week and 360 hours/semester||720|
|Practical classes (in laboratory and field)||08 hours /week 103 hours/semester||206|
The theory teaching will be classroom teaching, including explaining the subject matter by using board (white), multimedia, charts, models, specimens, carrying out group discussion, etc. Lecture delivery will be done keeping in mind the standards of all strata of the students. Formative assessment will be part of the teaching methodology. For the students this kind of assessment will be a sort of fun, fast and friendly (not a burden/stress). It may include verbal interaction, group discussion, MCQs where students will not be judged, but class teacher will get an idea if the student has received what has been delivered.
The course offers various optional subjects in the first two years to fabricate their degree according to the demands of the industry or to persue the academic interest in various fields.
- Duration and Nomenclature:
The duration of B.Sc. (Hons.) Mathematics course shall be of three academic years. Each year shall be divided into two semesters. Thus, the course shall comprise of six semesters will spread over three years. On completion of all the sixt semesters, the student will be awarded B.Sc. (Hons.) Maths degree. The student shall complete all the six semesters within a maximum period of 5 (five) years from the date of admission to the first semester. However, he/she may be given one more year by the Academic Council under special circumstances which will be duly recorded in the Council’s resolution.
- Admission to the Course:
Admission to the above course shall be made on the terms & conditions as prescribed in Chapter 2 of the 1st Ordinance of SGT University, Gurgaon as amended from time to time.
- Admission schedule and receipt of fees:
The admission schedule along with last date for the receipt of admission forms and fees structure shall be fixed by the Vice-Chancellor for every academic year. The candidates will be required to submit their application for admission as per the schedule announced in the Newspaper(s)/ University Website.
- Selection of candidates for admission:
The candidates shall be selected for admission to the above course on the basis of their academic merit to be determined on the basis of marks obtained either in Entrance Examination conducted by SGT University, or in the qualifying examination as decided by the University from time to time.
Syllabus for the course will be as recommended by Board of Studies and approved by Academic Council from time to time.
- Medium of Instruction and Examination:
The medium of instruction and the examination shall be English only.
- Scheme of Examinations:
The Scheme of Examinations shall be as approved by Board of Studies/Academic Council of the University from time to time.
- University Examinations:
(i) End Term Examinations:
The examinations of the 1st, 3rd and 5th semesters shall ordinarily be held in the month of December and those of 2nd, 4th and 6th semesters in the month of May or on such dates as fixed by the Controller of Examinations with the approval of the Vice-Chancellor.
(ii) Supplementary/ Re-appear Examinations:
Supplementary examinations of the 1st, 3rd and 5th semesters will be held along with the regular semester examinations of 1st, 3rd and 5th semesters in December and those of 2nd, 4th and 6th semesters will be held along with regular semester examinations of 2nd, 4th and 6th semesters in May or on such dates as fixed by the Controller of Examinations with the approval of the Vice-Chancellor. However, the supplementary examinations of 5thsemester may be held in the month of May along with that of even semester examinations and that of 6th semester may be held in the month December along with that of odd semester examinations. A student on the rolls of Faculty or an ex-student shall submit his/her application for admission to an examination on the prescribed form with the requisite certificate duly countersigned by the Dean of the Faculty and examination fee.
- Distribution of Marks:
The distribution of marks in various papers shall be as given in the Scheme of Examinations approved by the Board of Studies/the Academic Council.
- Attendance Requirements/Eligibility to Appear in Examination:
The student shall fulfill the following criteria to be eligible for appearing in the end term examinations:
- He/ she should bear a good moral character.
- He/she should be on the rolls of the University during the Semester.
- He/she should have not less than 75% of the attendance during the respective semester. Twenty five (25%) of attendance relaxation shall account for illness and exigencies of serious and unavoidable nature.
- The Dean of the Faculty on his own or on the recommendation of the HOD will have the power to give relaxation up to 5% on genuine grounds over the minimum 75% attendance requirement.
- Further, the Vice Chancellor on his own or on the recommendation of the Dean will have the power to give further relaxation up to 5% on genuine grounds over the above relaxation given by the Dean.
- He/she should not be a defaulter in payment of tuition fees or any other dues of the University and no disciplinary action is pending against him/her.
- Exemption from Attendance / Shortage of Attendance to be condoned:
The shortage of lectures to the maximum limit, to be condoned by the competent authority is as under:
|Sr. No||Exemptible No. of Lectures||Ground of Exemption||Competent Authority|
|1||All periods of the days of blood donation||Voluntarily blood donation to the Blood Bank.||Dean of the Faculty|
|2||Maximum 10 days attendance during a semester||For participation in Intra-University or Inter-Faculty/College Sports Tournaments/ Youth Festivals, NCC/ NSS Camps/ University Educational Excursions/ Mountaineering Courses etc.||-do-|
|3||Maximum 15 days attendance during a semester||For participation in Inter-University Sports Tournaments/ Youth Festivals etc.||-do-|
- that he/she has obtained prior approval of the Dean, Faculty of Physical Sciences.
- that credit will be given only for the dates on which lectures were delivered or tutorials or practical classes were held during the period of participation in aforesaid event.
- Attendance Shortage Warning:
Attendance shortage warning will be displayed on the Faculty’s Notice Board and University Website by 10th day of every month.
- Detained Students:
A student, who does not fulfill the criteria prescribed in Clauses 11, subject to clause 12, will not be eligible for appearing in the end term semester examination in that particular paper and will be deemed as “Detained” in the paper. Such student will repeat the course/paper along with the regular students of the subsequent batch after fulfilling the prescribed conditions to appear in the “End Term” examination of the course/ paper.
- Submission of Examination Forms and Payment of Fees:
The Dean, Faculty of Physical Sciences will submit the examination admission forms of those students who satisfy the eligibility criteria for appearing in the examinations to the Controller of Examinations as per Schedule of Examinations circulated from time to time.
- Setting of Question Papers:
(i) The Head of the Department/Dean of the Faculty shall supply the panel of internal and external examiners well in time duly approved by the Board of Studies, to the Controller of Examinations. The paper(s) will be set by the examiner(s) nominated by the Vice-Chancellor from the panel of examiners.
(ii) At least 50% of the papers will be set by the external examiners.
An examiner shall be allowed to set not more than two papers in a semester examination.
(iv) An examiner will set the question papers as per criteria laid down in the Scheme of Examinations as approved by the Board of Studies/Academic Council of the University.
- Evaluation Process – Theory, Practical and Viva Voce:
(A) Evaluation of Answer Books:
The answer books may be evaluated either by paper setter or by any other internal or external examiner to be nominated by the Controller of Examinations. In case, such examiner does not evaluate the answer books in the given schedule, the Controller of Examinations may get the answer book(s) evaluated from any other expert in the subject with the approval of the Vice-Chancellor.
(B) Re-evaluation of Answer Books:
i) Re-evaluation will be permitted only for the theory papers.
ii) No re-evaluation will be allowed for examinations in practical/Viva-Voce/ Training Report/ Project Report/ Sessionals etc. or in any other paper where there is a joint evaluation by two examiners.
iii) The candidate may apply for re-evaluation in theory paper only on the prescribed form in an examination taken by him/her within ten (10) days of the declaration of the result along with a copy of Detail-Mark Certificate or the downloaded result and prescribed fee. No re-evaluation form will be accepted thereafter under any circumstances.
iv) The University will not be held responsible for any postal delay in the receipt of the evaluation request from the student, if sent by post.
v) Award of Re-Evaluation Marks/Score:
|(a) When increase/decrease is up to 15% of the maximum marks obtained in the paper concerned, the higher marks will be awarded to the student.|
|(b) When increase/decrease is more than 15% of the maximum marks in the paper concerned the answer book will be got evaluated by the second Re-Evaluator and the average of two highest scores will be awarded.|
vi) Final result of re-evaluation favorable or against will be binding on the student and it will supersede the original score/result.
(C) Practical Examinations:
(i) Practical examinations shall be conducted by a Board of Examiners consisting of one internal and one external to be nominated by the Vice-Chancellor from the panel of examiners.
(ii) The student who fails to obtain the pass marks in practical examination can be allowed to re-appear before the Board of Examiners as laid down under (i) of above as per schedule specified for the Supplementary Examinations.
- Project Report /Dissertation will be evaluated jointly by the internal and external examiners.
- Viva-voce for Project/Dissertation shall be conducted by a Board of Examiners consisting of one internal and one external to be nominated by the Vice-Chancellor from the panel of examiners.
- The Viva- voce shall be conducted at the time of practical examinations.
- The marks obtained by the student in the viva-voce shall be taken into account when he/she appears for the said examination under ‘ re-appear’ clause.
- A student who fails to obtain pass marks in viva-voce shall be allowed to re-appear in supplementary examinations before the Board of Examiners as laid down under (i) above as per schedule specified for the Supplementary Examinations.
- Internal Assessment:
(i) Theory Paper: Twenty five (25) per cent marks shall be assigned to theory paper as Internal Assessment which shall be awarded as per the criteria given below:
|Distribution of 20 marks|
|2||Mid-term Test-I||05 marks|
|3||Mid-term Test-II||05 marks|
|4||Assignment/Quiz/Seminar etc.||10 marks|
There will be at least two (2) Internal/Mid Term Tests in each semester. Each test may be of 30 marks of one and half hour duration and should cover 50% of the syllabus covered. The dates of tests will be decided by the Dean/ HOD. The answer books for the same will be supplied by the Examination Branch.
(ii) In case of those ex-students who will be appearing for re-appear / improvement examination in any semester, their previous Internal Assessment marks awarded, will be counted for the purpose. The concerned teacher shall preserve the records on the basis of which the internal assessment marks have been awarded, and shall make the same available to the Controller of Examinations whenever required.
(iii) The Head of the Department/ Dean of the Faculty shall ensure:
(a) that the internal assessment marks are displayed on the Notice Board for information of the students at least seven (07) days before the commencement of the end term examinations of the semester.
- that the internal assessment marks are submitted to the Controller of Examinations at least seven (07) days before the commencement of the examinations of each semester.
- Criteria for Promotion to Higher Semester:
All the students will be automatically promoted to 2nd, 4th and 6th semester without any condition of passing minimum number of papers. For promotion from 2nd to 3rd semester, the student shall have to clear at least 50% papers of 1st and 2nd semester; for promotion from 4th to 5th semester, the student shall have to clear at least 50% papers of 3rd and 4th semesters taken together.
- Pass Percentage:
To pass any examination the minimum score of marks will be 40 percent, separately in theory and practical. The marks of internal assessment will be added in the score if the student gets at least 40% marks in theory and practical separately.
- Improvement Examination:
The student shall be permitted to improve his/her result subject to the following conditions:
(i) The student will be permitted to appear in improvement examinations as a previous batch-student, with the regular batch for the purpose of improvement.
(ii) The student will be permitted to improve his/her grade only in those papers in which he/she has obtained less than 1st division (60%).
(iii) Only one chance for each semester will be given. The chance must be availed within a period of two years after passing of the final examination.
(iv) The student shall be allowed to appear in the improvement examination(s) along with the students of regular batch as and when the concerned course is offered. No separate examination will be held for improvement of the result. In case of any change in the syllabi, the student shall have to appear for improvement in accordance with the changed syllabi of the concerned course applicable to the regular students.
(v) If the status/nature of the student’s result does not change, his/her “improvement
Result” will be declared “PRS” (Previous Result Stands).
- Credit Based Grading System:
(i) Key Definitions:
Programme: An educational programme leading to award of a Degree, Diploma or Certificate.
Course: Usually referred to as ‘paper’, is a component of the programme. All courses may not carry the equal weight.
Credit: A unit by which the course work is measured. One credit is equivalent to one hour of teaching (lecture or tutorial) or two hours for practical work/field work per week.
Credit Points: It is the product of grade point and number of credits for a course i.e. Credit Points = No. of credits in a course X “grade value” of the grade obtained in the course.
Grade Point There are two types of GPA as given under:
Average (GPA): a) Semester Grade Point Average (SGPA)
- b) Cumulative Grade Point Average (CGPA)
Every student earns a distinct SGPA and a distinct CGPA at the end of each specified semester.
Semester Grade SGPA is a measure for performance of a student in a semester. It is
Point Average the ratio of sum of the product of number of credits with the grade
(SGPA): points scored by the student in all the courses taken by him/her divided the sum of the number of credits of all the courses undertaken by the student i.e. SGPA (Si) = ∑ (CixGi) /∑Ci
Cumulative CGPA is a measure of performance up to any specified semester
Grade Point starting from the first semester. It is also computed in the same
Average manner as for SGPA, taking into account all the courses
(CGPA): undertaken by a student during all the semesters of programme i.e. CGPA = ∑(Cix Si) / ∑Ci
Grade Point: It is a numerical weight allotted to each letter grade on a 10-point scale.
Grades: The Grades are denoted by letters O, A+, A, B+, B, C+ , C, D ,F and Ab.
It is an index of the performance of a student in a said course.
(ii) Credits, Semesters, Courses, total Credits:
The six semester programme (Three-year programme) for B.Sc. (Hons.) Maths, in all there will be 164 credits.
(iii) Grading Method:
The grading method for evaluating students’ performance involves award of grade according to the range of total marks in a given course. The range of marks between any two grades is framed in such a manner that the effect of individual marking/checking technique on the overall grading is minimal. The grades will be awarded based on marks obtained out of 100 as under:
|Range of Percentage of Marks||Letter Grade||Grade Points||Range of Grade Points||Classification|
|90 and above||O (Outstanding)||10||9-10||Outstanding|
|80 and above but less than 90||A+ (Excellent)||9||8<9||Excellent|
|70 and above but less than 80||A (Very Good)||8||7<8||1st Div. with Distinction|
|60 and above but less than 70||B+ (Good)||7||6<7||1st Division|
|Above 50 but less than 60||B( Above Average)||6||Above 5<6||2nd Division|
|Below min. pass marks||F(Fail)||0||–||–|
- Computation of SGPA & CGPA
SGPA is computed as the sum of ‘Credit Points’ earned in a semester divided by the sum of all ‘Courses’ Credits’ in that semester.
CGPA is computed by dividing the sum of ‘Credit Points’ by the sum of ‘Courses’ Credits’ of the current semester + that of all pervious semesters.
Example for Computation of SGPA and CGPA:
A) Assuming that Mr. X has registered for four courses in the 1st semester and his performance in these courses in the said semester is a under:
|Course/Paper Code||Course Credit||Grade awarded to the Student||Grade Point||Credit Points|
Computation of SGPA:
‘Credits’ of the Courses registered by Mr. X in 1st Semester = 16
‘Credit Points’ of Mr. X in the Semester = 120
SGPA of 1st Semester (120/16) = 7.5
Computation of CGPA:
‘Credits’ of the courses registered by Mr. X up to 1st Semester = 16
‘Credit Points’ of Mr. X up to 1st Semester = 120
CGPA of the Semester (120/16) = 7.5
B) Assume that the Mr. X has performed in 2ndSemester as under:
|Course/Paper Code||Course Credit||Grade Awarded to the Student||Grade point||Credit Points|
Computation of SGPA of 2nd Semester:
‘Credits’ of the courses registered by Mr. X in 2nd Semester = 16
‘Credit Points’ of Mr. X in 2nd Semester = 100
SGPA of 2nd Semester (100/16) = 6.2
Computation of CGPA up to 2nd Semester:
‘Credits’ of the courses registered by Mr. X in
1st & 2nd Semesters (16+16) = 32
‘Credit Points’ of Mr. X in 1st & 2nd Semesters (120+100) = 220
CGPA up to 2ndSemester (220/32) = 6.87
- Declaration of Results:
(i) After the semester examinations are over, the Controller of Examinations shall declare the results of those students who had appeared in the examinations.
(ii) Each successful student/ the student placed in re-appear, shall be provided a copy of the Detailed Marks Card of each semester examination.
(iii) The student, whose result is declared late due to some reasons, can provisionally attend classes of the next higher semester at his /her own risk and responsibility, subject to his /her passing the concerned semester examination. In case, the student fails to pass the concerned semester examination, his/her attendance/internal assessment in the next higher semester in which he / she was provisionally allowed to attend class, shall stand cancelled.
- Classification of Performance:
Performance of the successful students after the 8th i.e. last semester examinations on basis of final CGPA obtained by him / her in 1st to 8thsemester examinations shall be classified as under:
|CGPA ( with equivalent % marks)||Classification of Performance|
|CGPA of 8.25 (equivalent to 75% marks) or more in first attempt||First Division with Distinction|
|CGPA of 8.25 (equivalent 75%) or more marks in second or subsequent attempt||First Division|
|CGPA of 6.75 (equivalent to 60% marks) or more but less than 8.25(equivalent to 75% marks)||First Division|
|CGPA of 5.75 (equivalent to 50% marks) or more but less than 6.75 (equivalent to 60% marks)||Second Division|
|CGPA above Pass Grade (equivalent to 50% marks) but less than 5.75 (equivalent to 50% marks)||Third Division|
|CGPA less than Pass Grade (equivalent to 50% marks)||Fail|
- A candidate needs to obtain minimum pass marks in Theory/Practical/Viva-Voce/Projects etc. itself. Internal Assessment will be added only if the candidate has obtained the minimum pass marks in Theory/Practical/Project/Viva-Voce etc.
- Similarly wherein Theory & Practical is a single id/code paper in that case also minimum pass marks are required to be obtained separately in both of these components, otherwise student will be declared fail in the concerned component (Theory/Practical as the case may be) wherein he/she has not obtained the minimum pass marks.
- Other Provisions:
- Provisions in Chapter 5 (Conduct of Examinations) of 1st Ordinance of the University will be applicable in the matters that are not covered by the Subject Ordinance.
- Each student has to pass the course “Environmental Science”. . It will be registered by the student in the semester as prescribed in the Scheme of Examinations. It will be a qualifying compulsory paper. Paper for this course will be set and evaluated by the internal examiner to be appointed by the Controller of Examination with the approval of the Vice-Chancellor. Its score will not be taken into account while computing the Division/Grade.
- Nothing in the Ordinance shall debar the University from amending the Ordinance, if required and the same shall be applicable to all the students whether old or new.
- Any other provisions not contained in the Ordinance shall be governed by the rules and regulations framed by the University from time to time.
- In case of any dispute, the Vice-Chancellor will be the competent authority to interpret the rules and his interpretation shall be final and binding.