B.Sc. (Hons.) Mathematics Course Structure and SyllabusI.K. Gujral Punjab Technical University
About the B.Sc. (Hons.) Mathematics Program
I.K. Gujral Punjab Technical University (IKGPTU) offers a comprehensive B.Sc. (Hons.) Mathematics program designed to provide students with a strong foundation in mathematical theory, analytical skills, and problem-solving abilities. This program prepares students for various career opportunities in research, education, finance, data analysis, and other quantitative fields.
Program Duration
The B.Sc. (Hons.) Mathematics program is a three-year full-time undergraduate course divided into six semesters.
Eligibility Criteria
- Candidates must have completed 10+2 or equivalent examination with Mathematics as one of the main subjects.
- Minimum aggregate marks typically required: 50% (45% for reserved categories as per university norms).
- Admission is based on merit or entrance examination as per university guidelines.
Course Structure
The B.Sc. (Hons.) Mathematics curriculum is designed to provide a balanced understanding of pure and applied mathematics, along with complementary subjects to develop a well-rounded mathematical perspective.
Program Objectives
- To develop students' understanding of fundamental principles and theories in mathematics
- To enhance problem-solving and analytical skills through mathematical reasoning
- To prepare students for higher studies in mathematics and related fields
- To develop skills in applying mathematical concepts to real-world problems
- To foster research aptitude in mathematics
Credit Distribution
| Component | Credits |
|---|---|
| Core Mathematics Courses | 80-90 credits |
| Elective Courses | 20-30 credits |
| Practical/Laboratory | 10-15 credits |
| Project Work | 6-8 credits |
| Total Credits | 120 credits |
Program Syllabus
Semester 1
| Course Code | Course Name | Credits |
|---|---|---|
| MTH101 | Calculus | 4 |
| MTH102 | Linear Algebra | 4 |
| MTH103 | Discrete Mathematics | 4 |
| MTH104 | Mathematical Logic and Set Theory | 4 |
| MTH105 | Fundamentals of Computer Programming | 4 |
| MTH106 | Mathematics Lab I | 2 |
Semester 2
| Course Code | Course Name | Credits |
|---|---|---|
| MTH201 | Real Analysis | 4 |
| MTH202 | Abstract Algebra | 4 |
| MTH203 | Differential Equations | 4 |
| MTH204 | Numerical Methods | 4 |
| MTH205 | Probability and Statistics | 4 |
| MTH206 | Mathematics Lab II | 2 |
Semester 3
| Course Code | Course Name | Credits |
|---|---|---|
| MTH301 | Complex Analysis | 4 |
| MTH302 | Topology | 4 |
| MTH303 | Advanced Calculus | 4 |
| MTH304 | Linear Programming | 4 |
| MTH305 | Mathematical Modeling | 4 |
| MTH306 | Mathematics Lab III | 2 |
Semester 4
| Course Code | Course Name | Credits |
|---|---|---|
| MTH401 | Ring Theory | 4 |
| MTH402 | Measure Theory | 4 |
| MTH403 | Partial Differential Equations | 4 |
| MTH404 | Graph Theory | 4 |
| MTH405 | Mathematical Methods | 4 |
| MTH406 | Mathematics Lab IV | 2 |
Semester 5
| Course Code | Course Name | Credits |
|---|---|---|
| MTH501 | Functional Analysis | 4 |
| MTH502 | Group Theory | 4 |
| MTH503 | Mathematical Finance | 4 |
| MTH504 | Operation Research | 4 |
| MTH505 | Elective I | 4 |
| MTH506 | Mathematics Lab V | 2 |
Semester 6
| Course Code | Course Name | Credits |
|---|---|---|
| MTH601 | Number Theory | 4 |
| MTH602 | Differential Geometry | 4 |
| MTH603 | Elective II | 4 |
| MTH604 | Elective III | 4 |
| MTH605 | Project Work | 4 |
| MTH606 | Mathematics Lab VI | 2 |
Elective Courses (Choose from)
| Course Code | Course Name |
|---|---|
| MTH507/MTH607 | Fuzzy Mathematics |
| MTH508/MTH608 | Cryptography |
| MTH509/MTH609 | Optimization Techniques |
| MTH510/MTH610 | Mathematical Biology |
| MTH511/MTH611 | Wavelets and Fourier Analysis |
| MTH512/MTH612 | Computational Fluid Dynamics |
| MTH513/MTH613 | Quantum Mechanics |
| MTH514/MTH614 | Data Mining for Mathematics |
Evaluation System
Assessment Methods
Student assessment in the B.Sc. (Hons.) Mathematics program follows a comprehensive evaluation system:
| Component | Weightage |
|---|---|
| Internal Assessments (Assignments, Quizzes, Presentations) | 30% |
| Mid-Semester Examinations | 20% |
| End-Semester Examinations | 50% |
Grading System
| Grade | Percentage Range | Grade Points |
|---|---|---|
| O (Outstanding) | 90% and above | 10 |
| A+ (Excellent) | 80% - 89.9% | 9 |
| A (Very Good) | 70% - 79.9% | 8 |
| B+ (Good) | 60% - 69.9% | 7 |
| B (Above Average) | 50% - 59.9% | 6 |
| C (Average) | 40% - 49.9% | 5 |
| F (Fail) | Below 40% | 0 |
Career Opportunities
Graduates of the B.Sc. (Hons.) Mathematics program from IKGPTU have diverse career opportunities in various sectors:
Higher Education and Research
- M.Sc. in Mathematics or related fields
- Ph.D. in Pure or Applied Mathematics
- Research positions in academic institutions
- Teaching positions in schools and colleges
Industry Opportunities
- Data Analyst/Scientist
- Actuarial Analyst
- Financial Analyst
- Quantitative Analyst
- Market Research Analyst
- Operations Research Analyst
- Quality Control Analyst
- Software Developer/Engineer
- Cryptographer
- Economist
Government and Public Sector
- Statistical Services
- Defense Research and Development
- Space Research Organizations
- Banking and Insurance
- Civil Services
Department of Mathematics
Contact Information
Department: Department of Mathematics, I.K. Gujral Punjab Technical University
Address: I.K. Gujral Punjab Technical University, Kapurthala Highway, Jalandhar, Punjab, India
Email: mathematics@ptu.ac.in
Phone: +91-XXX-XXXXXXX
Office Hours
Monday to Friday: 9:00 AM - 5:00 PM
Saturday: 9:00 AM - 1:00 PM
Admission Enquiry
For admission-related queries, contact:
Email: admissions@ptu.ac.in
Website: www.ptu.ac.in
Download Detailed Syllabus
I. K. Gujral Punjab Technical University B.Sc. (Hons.) Mathematics Course Structure And Sy...
Pharm.D Syllabus (Maharaja Ranjit Singh Punjab Technical University) and Reference File Do...
Punjab Technical University B.Sc Fashion Design Syllabus and Reference File Download Link
Master Of Arts In Economics Syllabus Banaras Hindu University (BH U) MSc Economics Program...