Department of Mathematics

Introduction

The department of mathematics is one of the most emerging department among all departments at Murray College. The department organizes a large number of seminars, colloquia, research schools, intensive courses and lecture series which are open to all students and teachers. The graduates of the department are not only experts of doing mathematics but are also very good presenters, and ethically strong citizens to serve the nation. The specialties of the department are the highly qualified teachers including Ph. D doctors, and merit base admissions. The department also provides a great forum for curricular activities like departmental games, exhibition, presentation, seminars, quiz competition etc. The staff and students in the department can have an early access to large number of books and research journals by using the Digital Library facility extended by HEC under its National Digital Library Programme.

Faculty Members

Prof. Naeed Ahmed

LECTURER

Head of Department
math@murraycollege.edu.pk

Prof. Sohaib Naeem

Lecturer

Prof. Muhammad Safi

Lecturer

BS (Hons) in Mathematics: 4-Year Program

Programs Offered

  1. BS Mathematics

Objective (BS Mathematics)

The BS scheme of studies aims to establish the base for lifelong education by creating essential concepts and equipping the student with necessary techniques, needed to start a career of research, development, teaching or financial applications involving mathematics.

Department of mathematics goals for the BS degree are expressed by the following core attributes we seek for BS graduates in our program:

  1. Graduates will be able to approach challenging problems using a variety of mathematical problem solving skills and methods. They will be able to work with learners to encourage and effectively guide the emergence and growth of their own problem solving abilities.
  2. Graduates will competently engage in mathematical reasoning. They will be able to construct and evaluate mathematical arguments, both formal and informal, and they will have an appreciation for mathematical rigor and mathematical inquiry.
  3. Graduates will be skilled in communicating their mathematical thinking to peers, faculty, and others, in a variety of means. They will be able to fully participate in mathematical discourse by listening to, and respecting, the ideas of others as well as by communicating their own questions and understandings. They will seek to encourage and guide the development of mathematical communication, in this same sense, in their own classrooms.
  4. Graduates will recognize through their own experiences of learning mathematics how they, and others, have built and utilized rich connections among mathematical ideas. They will emphasize in their own classrooms, on their own students, the importance of building useful, connected understanding.
  5. Graduates will skillfully use various ways of representing mathematical ideas, including verbal, graphical, numerical, symbolic, to support and deepen mathematical understandings. They will seek to support, and build on the diversity of representations that their students find useful in their own thinking.
  6. Graduates will adopt technology as an essential tool for thoughtfully teaching, learning, doing and understanding important mathematics.
  7. Graduates will have a thorough understanding of the fundamental principles underlying the school mathematics curriculum and how these principles connect to cognition. This includes a rich, fundamentally grounded understanding of numbers and operations, algebra, geometry, calculus, probability, and statistics.
  8. Graduates will be able to recognize (and design) and use mathematically rich tasks as central pieces in building an instructional practice that focuses on developing and using detailed knowledge of learners work and thinking.
  9. Graduates will appreciate that working effectively with students to build mathematical understanding must be grounded in understanding student thinking, as seen through student discourse and use of various representations, as they engage in mathematical practice.
  10. Graduates will have a clear understanding of the many facets of a teacher work in secondary mathematics classrooms, and the skills to work comfortably in that environment. These skills and understandings will be built and supported by rich field experiences in the public schools.
  11. Graduates will have the skills necessary to observe and to reflect, with care, on how important mathematics can be taught and learned. Students will learn this skill as they are brought into the profession through carefully designed mentored research experiences with faculty.

Eligibility

The applicants must have studied Mathematics in Intermediate and secured at least 45% marks in it.

Scheme of Study

BS (Hons) in Mathematics: 4-Year Program

Total Credit Hours130
Semesters8

Program Overview

The Bachelor of Science in Mathematics program is designed to provide students extensive knowledge and skills in Applied and pure mathematics and the applications of mathematics. The program enhances analytical and critical thinking skills and prepares students for research and teaching mathematics.

SEMESTER – I
S. NoCourse CodeCourse TitleCredit Hours
1ENG-101English –I3
2IT-101Introduction to Computer3
3MATH-101Calculus-I3
4MATH-103Discrete Structures3
5 General-I3
6 General-II3
Total Credit Hours:   18
SEMESTER – II
S. NoCourse CodeCourse TitleCredit Hours
1ENG-102English-II3
2ISL-100Islamic Studies2
3MATH-102Calculus -II3
4IT-102Fundamentals of Information System3
5 General-III3
6 General-IV3
Total Credit Hours:   17
SEMESTER – III
S. NoCourse CodeCourse TitleCredit Hours
1ENG-201English –III (Communication Skills for Mathematicians)3
2MATH-201Calculus- III3
3MATH-202Program Languages for Mathematicians3
4MATH-208Program Languages for Mathematicians (Practical)1
5MATH-205Classical Mechanics3
6 General-V3
7 General-VI2
Total Credit Hours:   18
SEMESTER – IV
S. NoCourse CodeCourse TitleCredit Hours
1MATH-204Algebra- I3
2MATH-203Computing Tools for Mathematicians2
3MATH-207Number Theory3
4PKS-101Pakistan Studies2
5 General-VII3
6 General-VIII3
Total Credit Hours:   16
SEMESTER – V
S. NoCourse CodeCourse TitleCredit Hours
1MATH-305Algebra- II 3
2MATH-306Vector & Tensor Analysis3
3MATH-307Ordinary Differential Equations3
4MATH-301Real Analysis-I3
5MATH-308Complex Analysis3
6MATH-303Differential Geometry-I3
Total Credit Hours:   18
SEMESTER – VI
S. NoCourse CodeCourse TitleCredit Hours
1MATH-302Real Analysis-II3
2MATH-309Algebra- III3
3MATH-304Differential Geometry-II3
4MATH-311Topology3
5MATH-316Mathematical Statistics3
6MATH-310Analytical Mechanics3
Total Credit Hours:   18
SEMESTER – VII
S. NoCourse CodeCourse TitleCredit Hours
1MATH-404Functional Analysis3
2MATH-401Numerical Analysis-I3
3MATH-406Modelling and Simulations3
4MATH-403Partial Diff. Equations3
5 Elective-I3
6 Elective-II3
Total Credit Hours:   18
APPLIED MATHEMATICS (Elective Courses) VII Semester
S. NoCourse CodeCourse TitleCredit Hours
1MATH-410Fluid Mechanics-I3
2MATH-441Special Theory of Relativity3
3MATH-419Optimization Theory3
4MATH-405Research Methodology3
5MATH-412Electromagnetic Theory-I3
6MATH-420Advance Computer Application in Mathematics3
7MATH-414Operational Research-I3
8MATH-416Quantum Mechanics-I3
 
PURE MATHEMATICS (Elective Courses) VII Semester
S. NoCourse CodeCourse TitleCredit Hours
1MATH-434Theories of Rings & Fields3
2MATH-435Advance Group Theory3
3MATH-430Mathematical Statistic-I3
4MATH-436Lie Algebra3
PURE MATHEMATICS (Elective Courses) VII Semester
S. NoCourse CodeCourse TitleCredit Hours
1MATH-434Theories of Rings & Fields3
2MATH-435Advance Group Theory3
3MATH-430Mathematical Statistic-I3
4MATH-436Lie Algebra3
APPLIED MATHEMATICS (Elective Courses) VIII Semester
S. NoCourse CodeCourse TitleCredit Hours
1MATH-413Electromagnetic Theory-II3
2MATH-415Operational Research-II3
3MATH-422Analytical Dynamics3
4MATH-417Quantum Mechanics-II3
5MATH-444General  Theory of  Relativity3
PURE MATHEMATICS (Elective Courses)  VIII Semester
S. NoCourse CodeCourse TitleCredit Hours
1MATH-431Mathematical Statistics-II3
2MATH-438Theory of Modules3
3MATH-437Decomposition of Modules3
4MATH-440Advance Functional Analysis3
5MATH-418Integral Equations3

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