Overview
Mathematics Department has offered 4-years BS program in Mathematics. Program has been designed according to the scheme of studies approved by the Higher Education Commission (HEC) of Pakistan to assure the quality education to equalize it with national and international standards. Department has offered a variety of courses under the umbrella of School of Science (SSC) to have the benefit of a flexible curricular program. The program aims to produce quality students who are able to prepare themselves for advance studies, teaching and research in Mathematics as well as careers in other related disciplines. In this regard Mathematics department will provide them with possible facilities and guidance.
Program Objectives
The objectives of BS in mathematics program are to prepare graduates with enhanced skills, knowledge and attributes that will be needed for a successful career and professional accomplishments after graduation. The program aims to produce graduates who:
- Have an appropriate combination of theoretical knowledge and practical skills to advance professionally in mathematics and related fields.
- Are able to use mathematical tools and language to understand the physical world around us.
- Are able to adapt to and succeed in a dynamic global environment.
- Are prepared to participate in lifelong learning opportunities.
- Are prepared for a professional career in education, or in business, industry and research institutions.
- Are prepared to continue formal education and obtain advanced degrees in mathematics or related fields.
- Aspire to evolve as integral part of society through their knowledge and professional skills.
These objectives are consistent with the mission of School of Science (SSC) and hence of University of Management and Technology (UMT), Lahore.
Why degree in BS Mathematics (Specialization in Data Science)
Due to its vast applications in all applied and social sciences mathematics have emerged as one of the most crucial subject of modern age. Today Mathematical languages and tools are being used for problem solving almost everywhere. Real world phenomenon has been modeled mathematically to provide assistance in every walk of life. Keeping in mind the remarkable importance of Mathematics University of Management and Technology (UMT) has started its own B.S. program. To assure quality, we have designed it according to outlines given by Higher Education Commission (HEC) of Pakistan. We aim to produce students having compatibility to the objectives of program to enable them to chose best career which will ultimately help them to become an integral part of university and hence of the society.
Career Opportunities
The role of Mathematics is inevitably important in today's world. Problem solving, thinking logically, and high level quantitative and numerical computational skills are most wanted attributes in most of the organizations. Degree in Mathematics will help students to be highly numerate. They will learn to think clearly and logically, to analyze the situations and to organize accordingly. They will develop very special skills which they can use in devising solutions to complex problems. Having equipped with such skills will enable them to seek for a good career in:
- Research & development in mathematics and related fields
- Applied Sciences
- Physics
- Banking
- Economics
- Computer Sciences
- Finance
- Computing
- Mathematical Modeling in Telecommunications
- Accountancy and Actuarial Work
- Statistician
- Post Graduate study in Mathematics
- Teaching
Program Summary
| Duration |
04 years |
| Semesters |
08 |
| Credit Hours |
137 (minimum) |
| Admission Requirements |
12 years of formal education A Level/FSc or equivalent with Mathematics Intermediate 45% Marks (minimum) UMT entrance test |
Lateral Entry Programs into BS Mathematics
1. Lateral Entry for BA/BSc Degree Holders (14 years education)
| Eligibility Criteria |
14 years of formal education (B.Sc. or equivalent) with Mathematics Intermediate with minimum 50% Marks 50% Marks in BSc (Annual System) with Mathematics UMT entrance test |
| Degree Completion Criteria |
BSc degree considered equivalent to 50 credit hours. Students must complete total of 132 credit hours (including 50 BSc equivalent) with CGPA of 2.00. |
| Program Fee |
Maximum 552,424 PKR (25,000 PKR admission fee + 527,424 PKR tuition for 82 credit hours) |
Study Plan & Roadmap
Program Code: 454
Bridging Semester
| Code | Course Title | Cr. Hrs. |
| MA-111 |
Applied Calculus |
3 |
| MA-105 |
Discrete Mathematics |
3 |
| MA-150 |
Probability and Statistics |
3 |
| MA-223 |
Computational Physics & Numerical Analysis |
3 |
| MA-210 |
Linear Algebra |
3 |
| Semester Credit Hours: 15 |
Semester 5 & 6
| Code | Course Title | Type | Cr. | Prerequisite |
| MA-312 |
Real Analysis –I |
C |
3 |
- - - - |
| MA-321 |
Partial Differential Equations |
C |
3 |
MA-218 |
| MA-330 |
Vector and Tensor Analysis |
E |
3 |
- - - - |
| MA-308 |
Algebra –I |
C |
3 |
- - - - |
| MA-300 |
Calculus-III |
C |
3 |
MA-103 |
| SD-100 |
English Immersion I |
C |
0 |
- - - - |
| - - - - |
Foreign Language |
C |
3 |
- - - - |
| Semester 5 Credit Hours: 18 |
| MA-314 |
Real Analysis –II |
C |
3 |
- - - - |
| MA-315 |
Algebra-II |
C |
3 |
MA-308 |
| PH-101 |
Mechanics |
C |
4 |
- - - - |
| MA-309 |
Affine and Euclidean Geometry |
C |
3 |
- - - - |
| MA-311 |
Differential Geometry |
C |
3 |
- - - - |
| SD-101 |
21st Century Skills |
C |
0 |
- - - - |
| Semester 6 Credit Hours: 16 |
Semester 7 & 8
| Code | Course Title | Type | Cr. | Prerequisite |
| MA-407 |
Fluid Mechanics |
E |
3 |
- - - - |
| MA-403 |
Graph Theory and Combinatorics |
E |
3 |
- - - - |
| MA-404 |
Special Relativity-I |
E |
3 |
- - - - |
| MA-426 |
Functional Analysis |
C |
3 |
- - - - |
| MA-400 |
Measure Theory |
E |
3 |
- - - - |
| MA-324 |
Complex Analysis |
C |
3 |
- - - - |
| Semester 7 Credit Hours: 18 |
| MA-402 |
Simulation and Modeling |
E |
3 |
- - - - |
| MA-411 |
Number Theory and its Application |
C |
3 |
- - - - |
| MA-445 |
Topology |
C |
3 |
- - - - |
| MA-xxx |
Elective Course |
E |
3 |
- - - - |
| MA-xxx |
Elective Course |
E |
3 |
- - - - |
| Semester 8 Credit Hours: 15 |
| Total Credit Hours at UMT: 67 |
2. Lateral Entry for Associate Degree Holders (14 years education)
| Eligibility Criteria |
14 years of formal education (Associate Degree with Mathematics) Intermediate with minimum 50% Marks 2.00 CGPA in Associate Degree UMT entrance test |
| Degree Completion Criteria |
Minimum 132 total credit hours (including ADP credit hours) with CGPA of 2.00. |
| Program Fee |
Maximum 488,104 PKR (25,000 PKR admission fee + 463,104 PKR tuition for 72 credit hours) |
Study Plan & Roadmap
Program Code: 478
Semester 5 & 6
| Code | Course Title | Type | Cr. | Prerequisite |
| MA-312 |
Real Analysis –I |
C |
3 |
- - - - |
| MA-321 |
Partial Differential Equations |
C |
3 |
MA-218 |
| MA-330 |
Vector and Tensor Analysis |
E |
3 |
- - - - |
| MA-308 |
Algebra –I |
C |
3 |
- - - - |
| MA-300 |
Calculus-III |
C |
3 |
MA-103 |
| SD-100 |
English Immersion I |
C |
0 |
- - - - |
| SD-420 |
Foreign Language |
C |
3 |
- - - - |
| Semester 5 Credit Hours: 18 |
| MA-314 |
Real Analysis –II |
C |
3 |
- - - - |
| MA-315 |
Algebra-II |
C |
3 |
MA-308 |
| MA-324 |
Complex Analysis |
C |
3 |
- - - - |
| MA-309 |
Affine and Euclidean Geometry |
C |
3 |
- - - - |
| MA-311 |
Differential Geometry |
C |
3 |
- - - - |
| SD-101 |
21st Century Skills |
C |
0 |
- - - - |
| SS E-I |
Social Science Elective |
E |
3 |
- - - - |
| Semester 6 Credit Hours: 18 |
Semester 7 & 8
| Code | Course Title | Type | Cr. | Prerequisite |
| MA-407 |
Fluid Mechanics |
E |
3 |
- - - - |
| MA-403 |
Graph Theory and Combinatorics |
E |
3 |
- - - - |
| MA-404 |
Special Relativity-I |
E |
3 |
- - - - |
| MA-426 |
Functional Analysis |
C |
3 |
- - - - |
| MA-400 |
Measure Theory |
E |
3 |
- - - - |
| SS E-II |
Social Science Elective |
E |
3 |
- - - - |
| Semester 7 Credit Hours: 18 |
| MA-402 |
Simulation and Modeling |
E |
3 |
- - - - |
| MA-411 |
Number Theory and its Application |
C |
3 |
- - - - |
| MA-445 |
Topology |
C |
3 |
- - - - |
| MA-xxx |
Elective Course |
E |
3 |
- - - - |
| MA-xxx |
Elective Course |
E |
3 |
- - - - |
| MA-xxx |
Elective Course |
E |
3 |
- - - - |
| Semester 8 Credit Hours: 18 |
| Total Credit Hours at UMT: 72 |
* Students may choose mathematical elective course of 03 credit hours in last semester according to course offering.
List of Mathematics and Social Sciences Elective Courses
| Sr. No. | Course Title | Category |
| 1. |
Vector and Tensor Analysis |
Mathematics |
| 2. |
Fluid Mechanics |
Mathematics |
| 3. |
Graph Theory and Combinatorics |
Mathematics |
| 4. |
Measure Theory |
Mathematics |
| 5. |
Simulation and Modeling |
Mathematics |
| 6. |
Special Relativity-I |
Mathematics |
| 7. |
Special Relativity-II |
Mathematics |
| 8. |
Advanced Group Theory |
Mathematics |
| 9. |
Modules Theory |
Mathematics |
| 10. |
Galois Theory |
Mathematics |
| 11. |
Operation Research |
Mathematics |
| 12. |
Fuzzy Set Theory |
Mathematics |
| 13. |
Numerical Solutions of ODEs |
Mathematics |
| 14. |
Numerical Solutions of PDEs |
Mathematics |
| 15. |
History of Mathematics |
Mathematics |
| 16. |
How to teach Mathematics at secondary level |
Mathematics |
| 17. |
Fixed Point Theory |
Mathematics |
| 18. |
Optimization Theory |
Mathematics |
| 19. |
Stochastic Process |
Mathematics |
| 20. |
Fractional Calculus |
Mathematics |
| 21. |
Element of Set Theory |
Mathematics |
| 22. |
Mathematical Economics |
Mathematics |
| 23. |
Entrepreneurship |
Social Sciences |
| 24. |
Economics |
Social Sciences |
| 25. |
Principles of Management |
Social Sciences |
| 26. |
Principles of Marketing |
Social Sciences |
| 27. |
Introduction to Sociology |
Social Sciences |
| 28. |
Introduction to Psychology |
Social Sciences |
| 29. |
Life and Learning |
Social Sciences |
| 30. |
Foreign Language |
Social Sciences |
| 31. |
Research Methods |
Social Sciences |
* Any other course may be offered as per availability of resources.
Why Pursue BS Mathematics?
Pursuing a Bachelor of Science degree in Mathematics offers a profound journey into abstract problem-solving, analytical thinking and rigorous reasoning. With a strong emphasis on logic, calculus, algebra, and statistics, this degree cultivates versatile skills applicable across various disciplines, from finance to technology to academia. Mathematics serves as the language of science, providing a framework for understanding complex phenomena and developing innovative solutions to real-world problems. Moreover, a mathematics degree fosters resilience, creativity, and adaptability, preparing individuals for diverse career paths ranging from data analysis and engineering to research and education. Ultimately, the pursuit of a BS Mathematics degree not only equips individuals with profound intellectual capabilities but also empowers them to make meaningful contributions to society through the application of mathematical principles in a wide array of contexts.
Key Advantages of Specializing in Data Science
- Solid Mathematical Foundation: Mathematics forms the backbone of Data Science. Concepts like calculus, linear algebra, probability, and statistics are fundamental to understanding algorithms and models used in data analysis.
- Understanding Algorithms: Many data science techniques rely heavily on mathematical algorithms. A strong background in mathematics can help you understand the underlying principles of these algorithms, making it easier to implement and improve them.
- Problem-solving Skills: Mathematics teaches rigorous problem-solving skills, which are crucial in data science. Analyzing complex datasets and developing algorithms to extract meaningful insights require a systematic and logical approach, skills honed through mathematical study.
- Versatility: A degree in Mathematics with a specialization in Data Science equips you with versatile skills applicable across various industries. From finance to healthcare, from technology to retail, organizations are increasingly leveraging data science for decision-making, creating diverse career opportunities for graduates with these skills.
- High Demand: Data Science professionals are in high demand across industries. With the proliferation of data and the increasing emphasis on data-driven decision-making, individuals with expertise in data science are highly sought after by employers.
- Innovation and Research Opportunities: Data Science is a rapidly evolving field with plenty of opportunities for innovation and research. A mathematics background can provide you with the analytical and problem-solving skills necessary to contribute to cutting-edge research and development in these areas.
- Competitive Advantage: As Data Science becomes more ubiquitous, having a strong mathematical foundation can give you a competitive edge in the job market. Employers value candidates who not only possess technical skills but also have a deep understanding of the mathematical principles underlying data science.
Why Choose BS Mathematics from UMT Lahore?
- Rigorous curriculum tailored to modern industry demands and academic standards
- Experienced faculty fostering a dynamic learning environment
- Emphasis on practical skills development through hands-on projects, internships, and industry collaborations
- Strategic location in Lahore, offering networking opportunities and access to industry leaders
- Academic excellence coupled with practical relevance, preparing students for diverse career paths.
Overall, pursuing a BS Mathematics degree with a specialization in Data Science can provide you with a solid foundation for a rewarding and intellectually stimulating career in a rapidly growing field.