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Department of Mathematics

Overview

BS Mathematics is a 4-year degree program accredited by Higher Education Commission (HEC). The overall purpose of this program is to serve as the foundation of advancements in the areas of mathematics and to introduce the students with the fundamentals of the core mathematics to prepare them for the emerging future of the mathematics area. However, we aim to set benchmark in producing the most efficient and proficient graduates.

Vision

To provide an environment where students can learn analytical and quantitative reasoning skills and promote Mathematical thinking as a significant part of human thought.

Mission

The department of Mathematics is committed to the following goals:

Develop skills and abilities to discuss and implement mathematical ideas effectively to solve practical problems.
Impart the capacity to become an independent learner, critical thinker, and problem solver who can make effective contribution to the society.
Provide an ideal environment for the continued growth of faculty members with the meaningful research.

Program Educational Objectives

Objectives of the BS (Math) programme are:

To develop the ability to its students to discuss mathematical ideas effectively and to use these skills to solve practical problems.
To impart the capacity to become an independent learner, critical thinker and problem-solver.
To provide an ideal environment for the continued growth of faculty members with meaningful research.

Scheme of Studies

Total Credit Hours = 128

Semester 1
Code	Course	Theory	Lab	Pre-req
MTH-121	Calculus I	3	0
MTH-124	Probability and Statistics I	3	0
ENG-110	Functional English	3	0
CS-100	Quantitative and Computational Reasoning	3	1
SS-102	Isamic Studies and Ehtics	3	0
QS-110	Quranic Studies I	0	0
		15	1
Semester 2
Code	Course	Theory	Lab	Pre-req
MTH-126	Calculus II	3	0	MTH-121
MTH-123	Linear Algebra I	3	0
SS-106	Iqbaliyat	2	0
ENG-111	Technical Writing and Communication	3	0
CS-129	Introduction to Programming	3	1
SS-103	Pakistan Studies	3	0
QS-120	Quranic Studies II	0	0
		17	1
Semester 3
Code	Course	Theory	Lab	Pre-req
MTH-225	Calculus III	3	0	MTH-121, 126
MTH-422	Discrete Mathematics	3	0
MTH-221	Ordinary Differential Equations	3	0	MTH-121, 126
GS-100	Principles of Science	3	0
PHY-121	Physics I	3	1
SS-104	Great Books	2	0
QS-230	Quranic Studies III	0	0
		17	1
Semester 4
Code	Course	Theory	Lab	Pre-req
MTH-231	Real Analysis 1	3	0
MTH-224	Algebra-I (Group Theory)	3	0
MTH-431	Probability and Statistics II	3	0
PHY-122	Physics II	3	1
ENG-112	Creative Rhetoric and Writing	3	0
QS-240	Quranic Studies IV	0	0
Total Credit Hours		15	1
Semester 5
Code	Course	Theory	Lab	Pre-req
MTH-331	Real analysis II	3	0	MTH-231
MTH-232	Numercial Methods	3	0
	Elective 1	3	0
MTH-323	Affine and Euclidean Geometry	3	0
ENG-113	Oral Communication/Foreign Language**	3	0
		15	0
Semester 6
Code	Course	Theory	Lab	Pre-req
MTH-321	Complex Variables	3	0	MTH-121
MTH-434	Introduction to Linear Programming and Optimization	3	0
	Elective II	3	0
SS-101	Introduction to Philosophy	3	0
MTH-322	Algebra II (Ring Theory)	3	0
		15	0
Semester 7
Code	Course	Theory	Lab	Pre-req
MTH-421	Topology	3	0
SS-112	Introduction to Psychology	3	0
MTH-332	Partial Differential Equations	3	0	MTH-221
	Elective III	3	0
MTH-450	Project 1	3	0
		15	0
Semester 8
Code	Course	Theory	Lab	Pre-req
ACC-213/ECO-310	Introduction to Accounting and Finance/ Economics	3	0
MTH-334	Functional Analysis	3	0
MTH-333	Differential Geometry	3	0
*	Elective IV	3	0
MTH-451	Project 2	3	0
		15	0

Foreign Language
Code	Course	Credit Hours
SS-109	Chinese Language	3
SS-105	Arabic Language	3
SS-114	Persian Language	3
SS-115	French Language	3

List of Courses in each of the three Specializations:

Data Science
Code	Major Course Title	Credit Hours
CS-360	Introduction to Data Science	3
CS-230	Data Structures and Algorithms	3
MTH-313	Linear Statistical Models	3
CS-350	Machine Learning	3
CS-361	Data Mining	3
CS-354	Computer Vision	3
CS-359	Time Series Analysis	3
DAN-448	Econometrics	3
MTH-319	Stochastic Processes	3
MTH-320	Numerical Linear Algebra	3
MTH-324	Mathematical Modelling	3
MTH-325	Image Processing	3
CS-232	Database Systems	3
CS-310	Data Analysis and Visualization	3

Pure Mathematics
Code	Major Course Title	Credit Hours
MTH-328	Linear Algebra II	3
MTH-348	Matrix Analysis	3
MTH-349	Graph Theory	3
MTH-350	Measure Theory	3
MTH-351	Lie Algebra	3
MTH-352	History of Mathematics	3
MTH-353	Algebraic Topology	3
MTH-354	Convex Analysis	3
MTH-355	Advanced Functional Analysis	3
MTH-356	Advanced Group Theory	3

Applied and Computational Mathematics
Code	Major Course Title	Credit Hours
MTH-328	Linear Algebra II	3
MTH-329	Exact Solutions of Dynamical System	3
PHY-131	Electricity and Magnetism	3
PHY-301	Introduction to Quantum Physics	3
PHY-336	Mathematical Physics	3
PHY-337	Statistical Physics	3
PHY-338	Computational Physics	3
PHY-339	Condensed Matter Physics I	3
PHY-340	Condensed Matter Physics II	3
MTH-320	Numerical Linear Algebra	3
MTH-324	Mathematical Modelling	3
MTH-341	Approximation Theory	3
MTH-342	Mathematical Biology	3
MTH-343	Dynamical Systems	3
MTH-344	Applications of Non-Linear Waves	3
MTH-345	Lie Symmetry Analysis	3
MTH-346	Solitary Wave Solutions	3
MTH-347	Theory of Ordinary Differential Equations	3

Disclaimer

The details of the program specification and information contained herein are subject to change in accordance with the policies, rules and regulations of the Namal Institute, Mianwali. Such changes will be notified to the enrolled students through email. Course offerings also depend on the availability of faculty of the subject area.