VU Apex Campus

Bachelor of Science in Mathematics

The Bachelor of Science in Mathematics program is a specialized academic program designed for students who want to pursue their studies in the field of Mathematics. Mathematics is a powerful and creative discipline that offers a wide range of opportunities for problem-solving and critical thinking. It plays a vital role in various areas of our society, including science, engineering, economics, and technology.

The program aims to provide students with a comprehensive understanding of mathematical concepts and theories, including algebra, calculus, geometry, and statistics. It focuses on developing the skills and knowledge necessary for students to succeed in their future careers. The program offers a variety of core courses and elective options, allowing students to tailor their studies to their interests and career goals.

Bachelor of Science in Mathematics

Graduates of the program are highly sought after in many industries and sectors due to their advanced problem-solving, analytical, and numeracy skills. Many graduates pursue careers in teaching, where they can share their knowledge and expertise with others. Others find employment in the financial industry, such as investment banking and finance, where mathematical modeling and analysis are essential. The civil service, pharmaceutical industry, and medicine statistics are other areas where mathematical graduates can obtain well-paid work.

Mathematics graduates are highly employable due to their rigorous and systematic approach to problem-solving, critical thinking, and analytical reasoning. They possess a broad skill set that enables them to adapt to a range of job opportunities, including those outside the traditional fields of mathematics. Mathematics graduates have the potential to make a significant contribution to society and have a rewarding and fulfilling career.

Objectives

  • To provide students with a solid foundation in mathematical concepts and theories, including algebra, calculus, geometry, and statistics.
  • To develop students’ problem-solving skills and critical thinking abilities through rigorous coursework and practical applications.
  • To offer a variety of core courses and elective options that allow students to tailor their studies to their interests and career goals.
  • To equip students with the skills and knowledge necessary to succeed in a range of careers, including teaching, finance, statistics, and the civil service.
  • To help students develop a systematic and analytical approach to problem-solving, which can be applied to various industries and sectors.
  • To encourage students to think creatively and apply their mathematical knowledge to real-world problems and challenges.
  • To foster a love of learning and a passion for mathematics that will continue to inspire students throughout their careers.
  • To provide students with opportunities for research and collaboration with faculty members and other students, allowing them to gain valuable experience and insights into the field of mathematics.

Eligibility

  • Intermediate / ‘A’ level / equivalent relevant qualification with Mathematics having a minimum of 45% marks.
  • Candidates who have completed ‘A’ levels must provide an equivalence certificate from the Inter Board Committee of the Chairman in Islamabad
  • Candidates with less than 45% marks are not eligible for the program.

Course Exemption

Students who have already completed 14 years of education and those wishing to transfer their credit hours from other universities are eligible for course exemption.

Degree Duration

This program is a four-year full-time course, divided into eight semesters, each semester has at least 18 weeks for teaching and examinations.

Study Scheme 

Semester 1

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
CS101
Introduction to Computing
Required
3 (Theory:3), Practical:0)
GSC101
General Science
Required
3 (Theory:3), Practical:0)
ENG101
English Comprehension
Required
3 (Theory:3), Practical:0)
MTH102
Basic Algebra and Trigonometry
Required
3 (Theory:3), Practical:0)
MTH104
Sets and Logic
Required
3 (Theory:3), Practical:0)
ETH202
Ethics (for Non-Muslims)
Elective
2 (Theory:2), Practical:0)
ISL202
Islamic Studies
Elective
2 (Theory:2), Practical:0)
VU001
Introduction to e-Learning
Required
1 (Theory:1), Practical:0)

Semester 2

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
CS201
Introduction to Programming
Required
3 (Theory:3), Practical:0)
ENG201
Business and Technical English Writing
Required
3 (Theory:3), Practical:0)
MTH101
Calculus And Analytical Geometry
Required
3 (Theory:3), Practical:0)
MTH202
Discrete Mathematics
Required
3 (Theory:3), Practical:0)
PHY101
Physics
Required
3 (Theory:3), Practical:0)
PAK301
Pakistan Studies
Required
2 (Theory:2, Practical:0)

Semester 3

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
ECO401
Economics
Required
3 (Theory:3), Practical:0)
ENG301
Business Communication
Required
3 (Theory:3), Practical:0)
MTH304
Statics
Required
3 (Theory:3), Practical:0)
MTH401
Differential Equations
Required
3 (Theory:3), Practical:0)
MTH403
Calculus and Analytical Geometry – II
Required
3 (Theory:3), Practical:0)
MTH405
Elementary Topics in Pure Mathematics
Required
3 (Theory:3, Practical:0)

Semester 4

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
MGT211
Introduction To Business
Required
3 (Theory:3), Practical:0)
MTH201
Multivariable Calculus
Required
3 (Theory:3), Practical:0)
MTH404
Dynamics
Required
3 (Theory:3), Practical:0)
MTH501
Linear Algebra
Required
3 (Theory:3), Practical:0)
SOC101
Introduction to Sociology
Required
3 (Theory:3), Practical:0)
CS301
Data Structures
Elective
3 (Theory:3, Practical:0)
ECO402
Microeconomics
Elective
3 (Theory:3, Practical:0)
STA301
Statistics and Probability
Elective
3 (Theory:3, Practical:0)

Semester 5

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
MTH621
Real Analysis I
Required
3 (Theory:3), Practical:0)
MTH622
Vectors and Classical Mechanics
Required
3 (Theory:3), Practical:0)
MTH633
Group Theory
Required
3 (Theory:3), Practical:0)
MTH643
Introduction to MATLAB
Required
3 (Theory:3), Practical:0)
CS502
Fundamentals of Algorithms
Elective
3 (Theory:3), Practical:0)
CS602
Computer Graphics
Elective
3 (Theory:3, Practical:0)
ECO403
Macroeconomics
Elective
3 (Theory:3, Practical:0)
ECO606
Mathematical Economics I
Elective
3 (Theory:3, Practical:0)
STA630
Research Methods
Elective
3 (Theory:3, Practical:0)
STA632
Sampling Techniques
Elective
3 (Theory:3, Practical:0)

Semester 6

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
MTH603
Numerical Analysis
Required
3 (Theory:3), Practical:0)
MTH623
Tensor Analysis and its Applications
Required
3 (Theory:3), Practical:0)
MTH631
Real Analysis II
Required
3 (Theory:3), Practical:0)
MTH634
Topology
Required
3 (Theory:3), Practical:0)
CS402
Theory of Automata
Elective
3 (Theory:3), Practical:0)
ECO607
Mathematical Economics II
Elective
3 (Theory:3, Practical:0)
STA642
Probability Distributions
Elective
3 (Theory:3, Practical:0)

Semester 7

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
MTH600A
MTH600A
Required
3 (Theory:3), Practical:0)
MTH601
Operations Research
Required
3 (Theory:3), Practical:0)
MTH632
Complex Analysis and Differential Geometry
Required
3 (Theory:3), Practical:0)
MTH641
Functional Analysis
Required
3 (Theory:3), Practical:0)
MTH642
Fluid Mechanics
Required
3 (Theory:3), Practical:0)

Semester 8

Course Code Subject Title Type Pre Requisite Credit Hours Specialization
MTH600B
Final Project for Mathematics-II
Required
3 (Theory:3), Practical:0)
MTH644
Measure Theory
Required
3 (Theory:3), Practical:0)
MTH645
Fuzzy Logic and Applications
Required
3 (Theory:3), Practical:0)
MTH646
Partial Differential Equations
Required
3 (Theory:3), Practical:0)
MTH647
Methods in Mathematical Physics
Required
3 (Theory:3), Practical:0)

Assessment of Study Progress

The evaluation of student’s academic progress is based on continuous assessment throughout the semester, including assignments, online quizzes, Graded Discussion Boards (GDBs), mid-term and final-term exams. The mid and final-term exams are conducted at VU’s designated exam centers and typically account for 80-85% of the total marks for a course.

Project

In order to fulfill the requirements of the BS Mathematics degree program, students must complete a 6-credit hour project during their 7th and 8th semesters, according to the prescribed scheme of studies. The topic of the project is chosen by the student, but they are required to consult with their advisor. Upon completion, students must submit a detailed write-up of the project and may also be asked to give a presentation.

Degree Awarded

  • The minimum requirement for eligibility is the completion of the BS Mathematics degree, which must add up to at least 134 credit hours.
  • A minimum CGPA (Cumulative Grade Point Average) of 2.0 out of 4.0 is required in order to be considered eligible.

Fee Structure

Degree Program Admission Fee Registration Fee Security Fee Admission Processing Fee Semester Enrollment Fee Per credit hour fee Fee of Convocation Fee payable at admission
BS
3,000
2,500
2,000
500
1,000
850
2,000
11,650

Semester Fee within Pakistan

Semester fee Approximately Rs. 17000/-

Fee Structure for Overseas

Disclaimer

  • The courses are regularly reviewed to ensure they are up-to-date with those taught at top universities, taking into account the needs of local industry and the job market.
  • The University may change its fee structure from time to time.
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