Click for 2023-24 Curriculum
Bachelor of Science (BS) Economics and Mathematics
Curriculum Structure | |
---|---|
Duration | 4 years |
Semesters | 8 |
Courses | 40 |
Final Year Project in Economics or Mathematics | 1 |
Total credit hours (40 courses and 1 project) | 128 |
Personal Effectiveness (non-credit short course) | 1 |
Responsible Citizen Initiative (Social Internship) | 1 |
Corporate Internship | 1 |
Course Categories and Credit Hours
Course category | Courses | Credit hours |
---|---|---|
University core courses | 4 | 12 |
Economics core courses | 11 | 35 |
Economics electives | 2 | 6 |
Mathematics core courses | 11 | 35 |
Mathematics electives | 2 | 6 |
Non-specialization courses (6 core and 4 electives) | 10 | 30 |
Final Year Project Economics or Mathematics | 1 | 4 |
Total | 41 | 128 |
Semester-wise sequence of courses
Freshman | Semester 1 | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 | Principles of Microeconomics | ECO103 | 3 | - | Economics core |
2 | Calculus I | MTS101 | 3 | - | Mathematics core |
3 | Introduction to Statistics | MTS102 | 3 | - | Non-specialization core |
4 | Critical Reading and Writing | SSC101 | 3 | - | University core |
5 | Islamic Scholarly Traditions (IST)/ Philosophy, Logic and Ethics (PLE)* | SSC301/HUM357 | 3 | - | University core |
Semester 2 | Course code | Credit hours | Pre-requisite | Course category | |
1 | Principles of Macroeconomics | ECO104 | 3 | - | Economics core |
2 | Calculus II | MTS113 | 3 | MTS101 | Mathematics core |
3 | Statistical Inference | MTS202 | 3 | MTS102 | Non-specialization core |
4 | Speech Communication | HUM201 | 3 | - | University core |
5 | Pakistan History | SSC151 | 3 | - | University core |
Sophomore | Semester 3 | Course code | Credit hours | Pre-requisite | Course category |
1 | Intermediate Microeconomics | ECO201 | 3 | ECO103 | Economics core |
2 | Intermediate Macroeconomics | ECO202 | 3 | ECO104 | Economics core |
3 | Discrete Mathematics | MTS211 | 3 | - | Mathematics core |
4 | Multivariable Calculus | MTS242 | 4 | MTS113 | Mathematics core |
5 | Essential Software | MTS111 | 3 | - | Non-specialization core |
Semester 4 | Course code | Credit hours | Pre-requisite | Course category | |
1 | Microeconomic Theory | ECO312 | 3 | ECO201 | Economics core |
2 | Macroeconomic Theory | ECO313 | 3 | ECO202 | Economics core |
3 | Linear Algebra | MTS203 | 3 | MTS101 | Mathematics core |
4 | Probability Theory | MTS231 | 3 | MTS102 | Non-specialization core |
5 | Foundations to Data Science | CSE306 | 3 | - | Non-specialization core |
Junior | Semester 5 | Course code | Credit hours | Pre-requisite | Course category |
1 | Applied Econometrics I | ECO343 | 4 | MTS202 | Economics core |
2 | Introduction to Differential Equations | MTS241 | 3 | MTS101 | Mathematics core |
3 | Real Analysis I | MTS341 | 4 | MTS113 | Mathematics core |
4 | Introduction to Academic Writing | SSC236 | 3 | - | Non-specialization core |
5 | Non-specialization elective I | - | 3 | - | Non-specialization elective |
Semester 6 | Course code | Credit hours | Pre-requisite | Course category | |
1 | Applied Econometrics II | ECO344 | 4 | ECO343 | Economics core |
2 | Research Methods for Economics | ECO411 | 3 | ECO343 | Economics core |
3 | Stochastic Processes | MTS304 | 3 | MTS231 | Mathematics core |
4 | Optimization Techniques | MTS330 | 3 | MTS101/MTS203 | Mathematics core |
5 | Non-specialization elective II | - | 3 | - | Non-specialization elective |
6 | Personal Effectiveness ** | SSC240 | - | Core | |
Senior | Semester 7 | Course code | Credit hours | Pre-requisite | Course category |
1 | Development Economics | ECO301 | 3 | ECO104 | Economics core |
2 | Partial Differential Equations | MTS436 | 3 | MTS241 | Mathematics core |
3 | Economics elective I | ECO | 3 | - | Economics elective |
4 | Mathematics elective I | MTS | 3 | - | Mathematics elective |
5 | Non-specialization elective III | - | 3 | - | Non-specialization elective |
6 | Final Year Economics Project or Final Year Mathematics Project*** | ECO441/MTS471 | 4 | - | Project |
Semester 8 | Course code | Credit hours | Pre-requisite | Course category | |
1 | International Trade or International Economics | ECO466/ECO305 | 3 | ECO103, ECO104 | Economics core |
2 | Probability and Statistical Models | MTS430 | 3 | MTS231 | Mathematics core |
3 | Economics elective II | ECO | 3 | Economics elective | |
4 | Mathematics elective II | MTS | 3 | Mathematics elective | |
5 | Non-specialization elective IV | - | 3 | Non-specialization elective |
*All Muslim students are required to register for IST. Non-Muslim students may take either IST or PLE.
**Personal Effectiveness will be offered in either the 5th or 6th semester. This is a non-credit course and is a part of graduation requirement. It consists of five 2-hour workshops distributed over the whole semester.
*** Students can take either Final Year Project in Economics (ECO441) or Final Year Project in Mathematics (MTS471).
Note:
Students should complete their Responsible Citizen Initiative (Social Internship) after completing their 2nd semester at IBA and must fulfill this graduation requirement before the end of their 6th semester.
Students should engage in their corporate internship after completing their 6th semester of the coursework, preferably during the summer break.
Critical Reading and Writing is equivalent to English, Grammar and Composition
Islamic Scholarly Traditions is equivalent to Socio Economic Philosophy of Islam
Economics elective courses (2 courses to be selected)
Course title | Course code | Credit hours | Pre requisite |
---|---|---|---|
Major Issues in Pakistan's Economy | ECO403 | 3 | ECO203 |
History of Economic Thought | ECO467 | 3 | ECO104 |
Contemporary Issues in Global Economics | ECO404 | 3 | EOC104 |
Public Economics | ECO401 | 3 | ECO201 |
Machine Learning for Economists | ECO405 | 3 | MTS111 |
Public Finance | ECO451 | 3 | ECO104 |
Monetary Economics | ECO452 | 3 | ECO202 |
Time Series Econometrics | ECO457 | 3 | ECO343 |
Climate Change Economics | ECO458 | 3 | ECO103 |
International Finance | ECO459 | 3 | ECO104 |
Environmental Economics | ECO450 | 3 | ECO201 |
Natural Recourse and Environmental economics | ECO461 | 3 | ECO201 |
Game Theory | ECO464 | 3 | ECO201 |
Health Economics | ECO471 | 3 | ECO201 |
Labour Economics | ECO472 | 3 | ECO201 |
Energy Economics | ECO463 | 3 | - |
Energy Systems & Policy | ECO474 | 3 | - |
Behavioral Economics | ECO470 | 3 | ECO103 |
Modern Quantitative Methods | ECO473 | 3 | ECO344 |
Mathematics elective courses (2 courses to be selected)
Course title | Course code | Credit hours | Pre requisite |
---|---|---|---|
Complex Analysis | MTS302 | 3 | MTS341 |
Abstract Algebra I | MTS305 | 3 | MTS203 |
Numerical Analysis | MTS306 | 3 | MTS113 |
Functional Analysis I | MTS411 | 3 | MTS341 |
Functional Analysis II | MTS412 | 3 | MTS411 |
Abstract Algebra II | MTS413 | 3 | MTS305 |
Numerical Solutions of PDE | MTS431 | 3 | MTS414 |
Integral Equations | MTS432 | 3 | MTS303 |
Advanced Numerical Analysis I | MTS433 | 3 | MTS414 |
Advanced Numerical Analysis II | MTS434 | 3 | MTS433 |
Differential Geometry | MTS435 | 3 | MTS204, MTS203 |
Fluid Dynamics I | MTS437 | 3 | - |
Fluid Dynamics II | MTS438 | 3 | - |
Financial Mathematics with a computational approach | MTS441 | 3 | - |
Computational Finance | MTS442 | 3 | - |
Topology I | MTS451 | 3 | MTS341 |
Scientific Computing for Linear PDE's | MTS414 | 3 | MTS413 |
Modern Algebra I (Galois Theory and Application) | MTS443 | 3 | MTS413 |
Modern Algebra II (Commutative Rings and Fields) | MTS444 | 3 | MTS413 |
Measure Theory I | MTS445 | 3 | - |
Measure Theory II | MTS446 | 3 | - |
Operations Research I | MTS447 | 3 | - |
Operations Research II | MTS448 | 3 | - |
Introduction to Differential Topology | MTS452 | 3 | MTS451 |
Financial Engineering | MTS453 | 3 | MTS441 |
Non-specialization electives courses
Four courses are to be chosen from courses other than Economics and Mathematics. These non-specialization elective courses may be from different subject areas including Accounting, Finance, Marketing, Management, Social Sciences and Liberal Arts, Computer Sciences, or any other field.
Curriculum Structure | |
---|---|
Duration |
4 years |
Semesters |
8 |
Courses |
42 |
Capstone Project |
1 |
Internship |
1 |
Total credit hours (41 courses, 1 project, 1 internship) |
129 |
Personal Effectiveness (non-credit short course) |
1 |
Responsible Citizen Initiative (non-credit social internship) |
1 |
Required Courses, Internships, and Project | |||
---|---|---|---|
Section |
Course Category |
Courses |
Credit Hours |
A |
General Education |
12 |
31 |
B |
Economics Core |
11 |
35 |
C |
Economics Elective |
2 |
6 |
D |
Mathematics Core |
11 |
33 |
E |
Mathematics Elective |
2 |
6 |
F |
Interdisciplinary/Allied |
4 |
12 |
G |
Capstone Project |
1 |
3 |
H |
Internship |
1 |
3 |
I |
Personal Effectiveness (non-credit short course) |
1 |
- |
J |
Responsible Citizen Initiative ((non-credit social internship) |
1 |
- |
Total |
129 |
A. GENERAL EDUCATION COURSES
S. No. | Course Title | Course Code | Credit hours | Prerequisite |
---|---|---|---|---|
1 |
Entrepreneurship |
BUS103 |
2 |
- |
2 |
Civic and Community Engagement |
SSC215 |
2 |
- |
3 |
Introduction to Computer Applications |
MIS103 |
3 |
- |
4 |
Islamic Scholarly Tradition/Philosophy Logic and Ethics* |
SSC313/HUMXXX |
2 |
- |
5 |
Pakistan History |
SSC153 |
2 |
- |
6 |
Critical Reading and Speech Communication |
SSC108 |
3 |
- |
7 |
Introduction to Academic Writing |
SSC236 |
3 |
- |
8 |
Introduction to Statistics |
MTS102 |
3 |
- |
9 |
Statistical Inference |
MTS202 |
3 |
MTS102 |
10 |
Introduction to Philosophy |
HUM102 |
2 |
- |
11 |
Physics/Mechanics/Electricity, Magnetism and Waves** |
SCI201/PHYXXX/PHY102 |
3 |
- |
12 |
Introduction to Psychology/Anthropology/Sociology ** |
SSC218/SSCXXX/SSCXXX |
3 |
- |
*All Muslim students are required to register for Islamic Scholarly Tradition (IST), Non-Muslim students may take Philosophy Logic and Ethics (PLE)
** Students are required to take any one of these three courses.
B. ECONOMICS CORE COURSES
S. No. | Course Title | Course Code | Credit Hours | Prerequisite |
---|---|---|---|---|
1 |
Principles of Microeconomics |
ECO103 |
3 |
- |
2 |
Principles of Macroeconomics |
ECO104 |
3 |
- |
3 |
Intermediate Microeconomics |
ECO201 |
3 |
ECO103 |
4 |
Intermediate Macroeconomics |
ECO202 |
3 |
ECO104 |
5 |
Microeconomic Theory |
ECO312 |
3 |
ECO201 |
6 |
Macroeconomic Theory |
ECO313 |
3 |
ECO202 |
7 |
Applied Econometrics I |
ECO343 |
4 |
MTS202 |
8 |
Applied Econometrics II |
ECO344 |
4 |
ECO343 |
9 |
Research Methods in Economics |
ECO411 |
3 |
ECO343 |
10 |
Development Economics |
ECO301 |
3 |
ECO104 |
11 |
International Trade |
ECO466 |
3 |
ECO103 |
C. ECONOMICS ELECTIVE COURSES
Students are required to take two economics elective courses. Currently, the following elective courses are being offered:
S. No. | Course Title | Course Code | Credit Hours | Prerequisite |
---|---|---|---|---|
1 |
Public Economics |
ECO401 |
3 |
ECO201 |
2 |
Machine Learning for Economists |
ECO405 |
3 |
MTS111 |
3 |
Public Finance |
ECO451 |
3 |
ECO104 |
4 |
Monetary Economics |
ECO452 |
3 |
ECO202 |
5 |
Time Series Econometrics |
ECO457 |
3 |
ECO343 |
6 |
Climate Change Economics |
ECO458 |
3 |
ECO103 |
7 |
International Finance |
ECO459 |
3 |
ECO104 |
8 |
Environmental Economics |
ECO450 |
3 |
ECO201 |
9 |
Natural Resource and Environmental Economics |
ECO461 |
3 |
ECO201 |
10 |
Game Theory |
ECO464 |
3 |
ECO201 |
11 |
Health Economics |
ECO471 |
3 |
ECO201 |
12 |
Labour Economics |
ECO472 |
3 |
ECO201 |
13 |
Energy Economics |
ECO463 |
3 |
- |
14 |
Energy Systems & Policy |
ECO474 |
3 |
- |
15 |
Behavioral Economics |
ECO470 |
3 |
ECO103 |
16 |
Spatial Economics |
ECO477 |
3 |
- |
17 |
Economics of Education |
ECO479 |
3 |
- |
D. MATHEMATICS CORE COURSES
S. No. | Course Title | Course Code | Credit Hours | Prerequisite |
---|---|---|---|---|
1 |
Calculus-I |
MTS101 |
3 |
- |
2 |
Calculus-II |
MTS232 |
3 |
MTS101 |
3 |
Multivariable Calculus |
MTS424 |
3 |
MTS232 |
4 |
Linear Algebra |
MTS203 |
3 |
MTS101 |
5 |
Discrete Mathematics |
MTS211 |
3 |
- |
6 |
Introduction to Differential Equations |
MTS241 |
3 |
MTS101 |
7 |
Stochastic Process |
MTS304 |
3 |
MTS231 |
8 |
Optimization Techniques |
MTS330 |
3 |
MTS101, MTS203 |
9 |
Partial Differential Equations |
MTS436 |
3 |
MTS241 |
10 |
Real Analysis I |
MTS341 |
3 |
MTS232 |
11 |
Probability Theory |
MTS231 |
3 |
- |
E. MATHEMATICS ELECTIVE COURSES
Students are required to take two mathematics elective courses. Currently, the following elective courses are being offered.
S. No. | Course Title | Course Code | Credit Hours | Prerequisite |
---|---|---|---|---|
1 |
Complex Analysis |
MTS302 |
3 |
MTS341 |
2 |
Abstract Algebra I |
MTS305 |
3 |
MTS203 |
3 |
Numerical Analysis |
MTS306 |
3 |
MTS232 |
4 |
Functional Analysis I |
MTS411 |
3 |
MTS341 |
5 |
Functional Analysis II |
MTS412 |
3 |
MTS411 |
6 |
Abstract Algebra II |
MTS413 |
3 |
MTS305 |
7 |
Numerical Solutions of PDE |
MTS431 |
3 |
MTS414 |
8 |
Integral Equations |
MTS432 |
3 |
MTS303 |
9 |
Advanced Numerical Analysis I |
MTS433 |
3 |
MTS414 |
10 |
Advanced Numerical Analysis II |
MTS434 |
3 |
MTS433 |
11 |
Differential Geometry |
MTS435 |
3 |
MTS204, MTS203 |
12 |
Fluid Dynamics I |
MTS437 |
3 |
- |
13 |
Fluid Dynamics II |
MTS438 |
3 |
- |
14 |
Financial Mathematics with a Computational Approach |
MTS441 |
3 |
- |
15 |
Computational Finance |
MTS442 |
3 |
- |
16 |
Topology I |
MTS451 |
3 |
MTS341 |
17 |
Scientific Computing for Linear PDE’s |
MTS414 |
3 |
MTS413 |
18 |
Modern Algebra I (Galois Theory and Application) |
MTS443 |
3 |
MTS413 |
19 |
Modern Algebra II (Commutative Rings and Fields) |
MTS444 |
3 |
MTS413 |
20 |
Measure Theory I |
MTS445 |
3 |
- |
21 |
Measure Theory II |
MTS446 |
3 |
- |
22 |
Operations Research I |
MTS447 |
3 |
- |
23 |
Operations Research II |
MTS448 |
3 |
- |
24 |
Introduction to Differential Topology |
MTS452 |
3 |
MTS451 |
25 |
Financial Engineering |
MTS453 |
3 |
MTS441 |
F. INTERDISCIPLINARY/ALLIED COURSES
Students are required to take the following Interdisciplinary/Allied courses. Students must select two Interdisciplinary/Allied elective courses from Finance, Social Sciences, Data Science, and Computer Science.
S. No. | Course Title | Course Code | Credit Hours | Prerequisite |
---|---|---|---|---|
1 |
Essential Software |
MTS111 |
3 |
- |
2 |
Data Analytics for Economists |
ECO304 |
3 |
ECO304 |
3 |
Interdisciplinary/Allied Elective I |
- |
3 |
- |
4 |
Interdisciplinary/Allied Elective II |
- |
3 |
- |
G. CAPSTONE PROJECT:
Students must complete one Capstone project of 3 credit hours in the final year.
S. No. | Course Title | Course Code | Credit Hours | Prerequisite |
---|---|---|---|---|
1 |
Capstone Project in Economics / Capstone Project in Economics Mathematics |
ECO412/MTS439 |
3 |
- |
INTERNSHIP: Students must engage in an internship of 3 credit hours after completing their 6th semester of the coursework, preferably during the summer break.
PERSONAL EFFECTIVENESS: Personal Effectiveness is offered in either the 5th or 6th semester for BS Economics and Mathematics students. This is a non-credit course and is a part of the graduation requirement. It consists of five 2-hour workshops distributed over the whole semester.ing
RESPONSIBLE CITIZEN INITIATIVE (SOCIAL INTERNSHIP): Students must complete their Responsible Citizen Internship (Social Internship) after completing their 2nd semester at IBA and fulfill this graduation requirement before the end of their 6th semester.
SEMESTER-WISE SEQUENCE OF COURSES
S. No. | Semester 1 | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Principles of Microeconomics |
ECO103 |
3 |
- |
Economics core |
2 |
Calculus I |
MTS101 |
3 |
- |
Mathematics core |
3 |
Introduction to Computer Applications |
MIS103 |
3 |
- |
General Education |
4 |
Introduction to Statistics |
MTS102 |
3 |
- |
General Education |
5 |
Critical Reading and Speech Communication |
SSC108 |
3 |
- |
General Education |
S. No. | Semester 2 | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Principles of Macroeconomics |
ECO104 |
3 |
- |
Economics core |
2 |
Calculus II |
MTS232 |
3 |
- |
Mathematics core |
3 |
Statistical Inference |
MTS202 |
3 |
MTS102 |
General Education |
4 |
Introduction to Psychology/Anthropology/Sociology |
SSC218 |
3 |
- |
General Education |
5 |
Pakistan History |
SSC153 |
2 |
- |
General Education |
6 |
Islamic Scholarly Traditions / Philosophy, Logic, and Ethics * |
SSC313/ HUMXXX |
2 |
- |
General Education |
S. No. | Semester 3 | Course code | Credit hours | Pre-requisiteh | Course category |
---|---|---|---|---|---|
1 |
Intermediate Microeconomics |
ECO201 |
3 |
ECO103 |
Economics core |
2 |
Discrete Mathematics |
MTS211 |
3 |
- |
Mathematics core |
3 |
Multivariable Calculus |
MTS242 |
3 |
MTS232 |
Mathematics core |
4 |
Introduction to Academic Writing |
SSC236 |
3 |
- |
General Education |
5 |
Entrepreneurship |
BUS103 |
2 |
- |
General Education |
6 |
Civic and Community Engagement |
SSC215 |
2 |
- |
General Education |
S. No. | Semester 4 | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Intermediate Macroeconomics |
ECO202 |
3 |
ECO103 |
Economics core |
2 |
Linear Algebra |
MTS203 |
3 |
MTS101 |
Mathematics core |
3 |
Probability Theory |
MTS231 |
3 |
MTS102 |
Mathematics core |
4 |
Essential Software |
MTS111 |
3 |
- |
Interdisciplinary/ Allied |
5 |
Physics/Mechanics/Electricity, Magnetism, Waves |
SCI201/ PHYXXX/ PHY102 |
3 |
- |
General Education |
6 |
Intro to Philosophy |
SSC102 |
2 |
- |
General Education |
S. No. | Semester 5 | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Applied Econometrics I |
ECO343 |
4 |
MTS202 |
Economics core |
2 |
Microeconomic Theory |
ECO312 |
3 |
ECO201 |
Economics core |
3 |
Macroeconomic Theory |
ECO313 |
3 |
ECO202 |
Economics core |
4 |
Introduction to Differential Equations |
MTS241 |
3 |
MTS101 |
Mathematics core |
5 |
Real Analysis I |
MTS341 |
3 |
MTS232 |
Mathematics core |
S. No. | Semester 6 | Course code | Credit Hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Applied Econometrics II |
ECO344 |
4 |
ECO343 |
Economics core |
2 |
Research Methods for Economics |
ECO411 |
3 |
ECO343 |
Economics core |
3 |
International Trade |
ECO466 |
3 |
ECO103, ECO104 |
Economics core |
4 |
Partial Differential Equations |
MTS436 |
3 |
MTS241 |
Mathematics core |
5 |
Data Analytics for Economics |
ECO304 |
3 |
- |
Interdisciplinary/ Allied |
6 |
Personal Effectiveness |
SSC240 |
- |
- |
Non-credit mandatory |
S. No. | Summer Semester | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Internship |
- |
3 |
- |
Internship |
S. No./strong> | Semester 7 | >Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Development Economics |
ECO301 |
3 |
ECO104 |
Economics core |
2 |
Economics elective I |
ECO |
3 |
- |
Economics elective |
3 |
Stochastic Processes |
MTS304 |
3 |
MTS231 |
Mathematics core |
4 |
Mathematics elective I |
MTS |
3 |
- |
Mathematics elective |
5 |
Interdisciplinary/Allied elective I ** |
- |
3 |
- |
Interdisciplinary/Allied |
6 |
Capstone Project in Economics/ Capstone Project in Mathematics |
ECO412/ MTS439 |
0 |
- |
Provisional for starting Capstone |
S. No. | Semester 8 | Course code | Credit hours | Pre-requisite | Course category |
---|---|---|---|---|---|
1 |
Optimization Techniques |
MTS330 |
3 |
MTS101/ MTS203 |
Mathematics core |
2 |
Mathematics elective II |
MTS |
3 |
- |
Mathematic elective |
3 |
Economics elective II |
ECO |
3 |
- |
Economics elective |
4 |
Interdisciplinary/Allied Elective II ** |
- |
3 |
- |
Interdisciplinary/Allied elective |
5 |
Capstone Project in Economics/ Capstone Project in Mathematics*** |
ECO412/ MTS439 |
3 |
- |
Capstone Project |
* All Muslim students are required to register for Islamic Scholarly Tradition (IST), Non-Muslim students may take Philosophy Logic and Ethics (PLE)
** Students must select two Interdisciplinary/Allied elective courses from Finance, Social Sciences, Data Science, and Computer Science.
*** Students can take either the Capstone Project in Economics (ECO412) or the Capstone Project in Mathematics (MTS439).