BS Mathematics

BACHELOR OF SCIENCE IN Mathematics BS(Mathematics)

This four years (eight semesters) degree program, after intermediate or equivalent is designed to produce graduates who can function as responsible member of the society with an awareness of the social and ethical ramifications of their work. We teach them to become valued employees in a wide variety of occupations in industry, government and academia, in particular as Mathematician; and to pursue life-long learning and professional development to remain current in an ever changing technological world so that they can contribute positively to their communities and society.

We enable them to develop good communi cation skill s so that they can communicate their solution strongly and enhance analytical skills to solve problems. BS(Mathematics) Program aims at learning to appreciate the role that computers play in a society and to be able to direct the use of technology in a beneficial way. Equipped with a thorough understanding of the development process of software including design, documentation, testing and implementation are the core themes of BS(Mathematics) programme.

Admission and Registration:-

i. A candidate holding Intermediate Certificate, with Mathematics (Pre-Eng. / ICS ) or A level or an equivalent certificate from any recognized Institute with at least 50% marks shall be eligible to apply for admission.

ii. Admission will be on open merit basis.

iii. Students with Mathematics (as a Major Subject) will be given preference.

iv. AGE:Acandidate must not be more than23years of age on

a. 1^st October of the year of admission, however, the Vice Chancellor may relax the age limit in very exceptional cases.

b. The date of the commencement of the Spring Semester.

Academic Standing:-

i. Grade Point Average

Maximum grade point average 4.00

Minimum grade point average for obtaining the Degree 2.50

ii. A student who does not meet the requirement for promotion in the next semester (for the 1st time) must repeat the same semester. In case the same situation occur again (for the 2nd time) the student shall cease to be on the university roll.

iii. The course grades that a student earns in the repeated semester shall replace the previously earned course grades.

iv. In the 8th semester, if a student fails to achieve 2.5 CGPA, After the minimum residency he /she shall have to repeat the course/ courses with lowest grades, so as to make CGPA of 2.5 within the maximum time period (12 semesters) allowed for the degree.

v. To remain on the roll of the university, a student shall be required to maintain the minimum CGPA required in each semester, as given below.

Semester	CGPA
1st	0.75
2nd	1.00
3rd	1.25
4th	1.50
5th	1.75
6th	2.00
7th	2.25
8th	2.50

Elective Courses

Sr. No.	Code	Course Title	Credit Hours
1	MATH-605	Integral Equations	3(3-0)
2	MATH-606	Fluid Mechanics	3(3-0)
3	MATH-607	Combinatorics	3(3-0)
4	MATH-608	Special Functions	3(3-0)
5	MATH-609	Modeling and Simulation	3(2-2)
6	MATH-610	Optimization	3(3-0)
7	MATH-611	Analytical Dynamics	3(3-0)
8	MATH-612	Quantum Mechanics	3(3-0)
9	MATH-613	Special Relativity	3(3-0)
10	MATH-614	Galois Theory	3(3-0)
11	MATH-615	Measure Theory	3(3-0)
12	MATH-616	Advanced Complex Analysis	3(3-0)
13	MATH-617	Operations Research	3(3-0)

Core Courses

Sr. No.	Code	Course Title	Credit Hours
1	MATH-301	Calculus & Analytical Geometry-1	3(3-0)
2	MATH-302	Set Theory and Logic	3(3-0)
3	MATH-303	Calculus & Analytical Geometry-2	3(3-0)
4	MATH-401	Vector Calculus and Complex Numbers	3(3-0)
5	MATH-402	Discrete Mathematics	3(3-0)
6	MATH-402	Algebra	3(3-0)
7	MATH-404	Vector and Tensor Analysis	3(3-0)
8	MATH-405	Linear Algebra	3(3-0)
9	MATH-406	Introduction to Ordinary Differential Equations	3(3-0)
10	MATH-407	Number Theory	3(3-0)
11	MATH-501	Real Analysis-1	3(3-0)

Major Courses

Sr. No.	Code	Course Title	Credit Hours
1	MATH-502	Group Theory	3(3-0)
2	MATH-503	Ordinary Differential Equations	3(3-0)
3	MATH-504	Analytical Mechanics	3(3-0)
4	MATH-505	Real Analysis-2	3(3-0)
5	MATH-506	Partial Differential Equations	3(3-0)
6	MATH-507	Numerical Analysis	3(3-0)
7	MATH-508	Complex Analysis	3(3-0)
8	MATH-509	Topology	3(3-0)
9	MATH-601	Functional Analysis	3(3-0)
10	MATH-602	Mathematical Physics	3(3-0)
11	MATH-603	Differential Geometry	3(3-0)
12	MATH-604	Rings and Fields	3(3-0)
13	MATH-604	Rings and Fields	3(3-0)

General Courses

Sr. No.	Code	Course Title	Credit Hours
1	STAT-301	Introductory Statistics	3(3-0)
2	PHY-301	Mechanics	3(3-0)
3	PHY-302	Waves and Oscillations	3(3-0)
4	PHY-302	Waves and Oscillations	3(3-0)
5	MGT-391	Bussiness Mathematics	3(3-0)
6	CS-323	Programming Fundamentals	4(3-2)
7	STAT-501	Statistics & Probability	3(3-0)
8	ECON-507	Mathematics for Economics	3(3-0)

Compulsory Courses

Sr. No.	Code	Course Title	Credit Hours
1	ENG-301	Functional English	3(3-0)
2	ENMG-302	Communication Skills	3(3-0)
3	SSH-302	Pakistan Studies	2(2-0)
4	SSH-305	Foreign Languages	3(3-0)
5	CS-300	Introduction to Information & Communication Technologies	4(3-2)
6	IS-302/ET-302	Islamic Studies/Ethics	2(2-0)
7	SOS-301	Moral Foundation of Education	2(2-0)
8	ENG-401	Technical Writing and Presentation Skills	3(3-0)

Semester I

Sr. No.	Code	Course Title	Credit Hours
1	ENG-301	Funtional English	3(3-0)
2	SSH-302	Pakistan Studies	2(2-0)
3	CS-300	Introduction to Communication & Computing Tools	4(3-2)
4	MATH-301	Calculus & Analytical Geometry-1	3(3-0)
5	MATH-302	Set Theory and Logic	3(3-0)
6	STAT-301	Introductry Statistics	3(3-0)

Semester II

Sr. No.	Code	Course Title	Credit Hours
1	ENG-302	Communication Skills	3(3-0)
2	IS-302/ET-302	Islamic Studies/Ethics	2(2-0)
3	CS-301	Software Packages	4(3-2)
4	SOS-301	Moral Function of Education	2(2-0)
5	MATH-303	Calculus & Analytical Geometry-2	3(3-0)
6	STAT-302	Introduction to Probability and Probability Distributions	3

Semester III

Sr. No.	Code	Course Title	Credit Hours
1	ENG-401	Technical Writing and Presentation Skills	3(3-0)
2	PHY-401	Mechanincs	3(3-0)
3	MATH-401	Vector Calculus and Complex Numbers	3(3-0)
4	MATH-402	Discrete Mathematics	3(3-0)
5	MATH-403	Algebra	3(3-0)
6	MGT-391	Business Mathematics	3(3-0)

Semester IV

Sr. No.	Code	Course Title	Credit Hours
1	SSH-305	Foreign Language	3(3-0)
2	PHY-402	Waves and Oscillations	3(3-0)
3	MATH-404	Vector and Tensor Analysis	3(3-0)
4	MATH-405	Linear Algebra	3(3-0)
5	MATH-406	Introduction to Ordinary Differential Equations	3(3-0)
6	MATH-407	Number Theory	3(3-0)

Semester V

Sr. No.	Code	Course Title	Credit Hours
1	MATH-501	Real Analysis-1	3(3-0)
2	MATH-502	Group Theory	3(3-0)
3	MATH-503	Ordinary Differential Equations	3(3-0)
4	MATH-504	Analytical Mechanics	3(3-0)
5	CS-323	Programming Fundamentals	4(3-2)

Semester VI

Sr. No.	Code	Course Title	Credit Hours
1	MATH-505	Real Analysis-2	3(3-0)
2	MATH-506	Partial Differential Equations	3(3-0)
3	MATH-507	Numerical Analysis	3(3-0)
4	MATH-508	Complex Analysis	3(3-0)
5	MATH-509	Topology	3(3-0)
6	ECON-507	Mathematics for Economist	3(3-0)

Semester VII

Sr. No.	Code	Course Title	Credit Hours
1	MATH-601	Functional Analysis	3(3-0)
2	MATH-602	Mathematical Physics	3(3-0)
3	MATH-603	Differential Geometry	3(3-0)
4	MATH-604	Rings and Fields	3(3-0)
5	MATH-	Elective-1	3(3-0)

Semester VIII

Sr. No.	Code	Course Title	Credit Hours
1	MATH-	Elective-2	3(3-0)
2	MATH-	Elective-3	3(3-0)
3	MATH-	Elective-4	3(3-0)
4	MATH-618	Research Project	3(0-3)
5	MATH-620	Seminar	1(1-0)