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B.Sc. (Hons) MATHEMATICS-GCU Lahore

May 4, 2015

Course name: B.Sc. (Hons) MATHEMATICS

Course Overview: The Department is the oldest center of Mathematics in the north-western Subcontinent. It was founded by eminent Mathematician, Prof. W. H. Crank in 1864, after he took over as Officiating Principal of Government College Lahore. The Department maintained high standards ever since its inception. Celebrated Number Expert of the Subcontinent, Dr. S. Chawla was a Pre-partition old Raven who later became Chairperson of the Department and served from 1935 to 1947. He conducted research in collaboration with leading Mathematicians of his time including C. Bose and Prof. Art in and his contributions were acknowledged by the American Mathematical Society.

The year 1966 marked the advent of a new era for the Department where Master Programme was launched independently at Government College Lahore, on the initiative of a competent teacher and administrator, Prof. L. M. Chawala, who had earlier launched the publication of the journal of “Natural Sciences and Mathematics” in 1961. An esteemed Ravian (session 1944-1946), a great mathematician of the 20th century, and later Chairperson, Department of Mathematics (1951- 1952), Prof. Salam earned international distinction by receiving over 20 prestigious awards, finally winning the Nobel Prize for Theoretical Physics in 1979.

No. of Semesters: 8

Course duration: 4 years

Requirements:

1. Admission Regulations

  1. Admission will be strictly on merit which shall be determined on the basis of overall marks and Interview.
  2. The applicant (Male/Female) applying for admission to BA/BSc (Hons) 4-years programme must have passed his/her HSSC with at least 50% Marks.
  3. The candidates for admission to B/VBSc (Flans) will be interviewed on the dates notified. And the candidates who remain absent will have no claim to admission. Irrespective of the marks they have obtained in the HSSC Examination.
  4. Candidates who select English Literature and Political Science as their major subject are required to pass a written test conducted by the departments In order to qualify for admission. Merit List shall be prepared on the basis of the candidates’ score in the written test of and interview.
  5. For BSc (Hons) in Physics /Mathematics /Statistics/BS (CS), the candidate must have passed his/her HSSC Examination with Mathematics from any Board of Intermediate and Secondary Education securing at least 50% marks.
  6. Diploma holders DAE/B.Com are not eligible to apply for admission to BA/BSc 1-Years (lions) Programme except BSc (Hons) in Electronics offered by department of Physics, and B.Com (Hons) offered by department of Economics.
  7. Candidate who passed! Corn will be eligible for admission to BA/BSc 4-Years (lions) programmer in only those subjects which are allowed by the concerned department.

How to apply: Admissions for Undergraduate degree programs usually opened once in a year during Fall Semester i.e. August / September.

  • Applications for admission to various Undergraduate degree programs are invited through an advertisement.
    Admission is made purely on merit basis from amongst the applicants.
  • In case the admission form is downloaded from university website (www.gcu.edu.pk), it should be accompanied with a Bank Draft / Pay Order
  • The application forms are available in the prospectus which can be obtained from the Office.
  • The candidates are advised to fill the Application Form carefully after reading the instructions and especially the column for preferences of different disciplines.

Curriculum:

Year – 1

Semester – I

Course Title

Credit Hours

Calculus– I (Major Course)

3

Discrete Structures (Major Course)

3

Basic Mathematics

(Allied Course)

3

Calculus (for students of Physics and Electronics)

(Allied Course)

3

Semester – II

Calculus – II (Major Course)

3

Number Theory (Major Course)

3

Pre Calculus (Allied Course)

 

3

Advanced Calculus (for students of Physics and Electronics) (Allied Course)

 

3

Year – 2

Semester – III

Course Title

Credit Hours

Calculus – III

3

Programming Languages for Mathematicians

3

Differential Equations (for students of Physics and Electronics) (Allied Course)

3

Calculus (for students of Chemistry, Economics,

Statistics and Business Accounting & Finance) (Allied Course)

3

Semester – IV

Algebra – I

3

Computing Tools for Mathematicians

3

Probability Theory

3

Optimization Theory I (for students of Economics, Statistics and Business Accounting & Finance)

3

Coordinate Geometry

(for students of Physics and Electronics)

3

Calculus of Several Variable (for students of Chemistry)

3

Year – 3

Semester – V

Course Title

Credit Hours

Algebra – II

3

Vector & Tensor Analysis

3

Mathematical Statistics

3

Numerical Analysis

3

Ordinary Differential Equations

3

Real Analysis-I

3

Semester – VI

Algebra – III

3

Classical Mechanics

3

Complex Analysis

3

Mathematical Spaces

3

Partial Differential Equations

3

Real Analysis – II

3

Year – 4

Semester – VII

Course Title

Credit Hours

Functional Analysis

3

Elective Course-I

3

Elective Course-II

3

Research Project/Dissertation

3

Students can opt one of the following Elective Course

Abstract Algebra – I

3

Advanced Calculus-I (Numerical Solutions of PDE)

3

Advanced Numerical Analysis – I

3

Astronomy – I

3

Differential Geometry – I

3

Electromagnetism – I

3

Fluid Dynamics – I

3

Group Theory – I (Fundamentals)

3

History and Philosophy of Mathematics-I

3

Measure Theory – I

3

Modern Algebra – I (Galios Theory & Applications)

3

Non-Linear Systems – I

3

Numerical Solutions of Partial Differential Equations-I

3

Operation Research – I

3

Projective Geometry – I

3

Quantum Mechanics – I

3

Relativity – I

3

Software Engineering – I (Design and Development)

3

Theory of Processes – I

3

Theory of Splines – I

3

Topology – I (Topological Dimension Theory)

3

Semester – VIII

Modeling & Simulation

3

Optimization Theory

3

Elective Course

3

Research Project/Dissertation

3

Students can opt one of the following Elective Course

Abstract Algebra – II

3

Advanced Calculus-II (Integral Equations)

3

Advanced Numerical Analysis – II

3

Astronomy – II

3

Differential Geometry – II

3

Electromagnetism – II

3

Fluid Dynamics – II

3

Group Theory – II (Study of Symmetries)

3

History and Philosophy of Mathematics – II

3

Measure Theory – II

3

Modern Algebra – II (Commutative Rings and Fields)

3

Non-Linear Systems – II

3

Numerical Solutions of Partial Differential Equations-II

3

Operation Research – II

3

Projective Geometry – II

3

Quantum Mechanics – II

3

Relativity – II

3

Software Engineering – II (Analysis)

3

Theory of Processes – II

3

Theory of Splines – II

3

Topology – II (Differential Topological)

3

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