Program Learning Outcomes

BS (Mathematics) curriculum has been prepared as per HEC guidelines and mutual consent of faculty members working in the diverse fields of pure and applied mathematics. In the department of BSRS, students seeking a BS degree in mathematics will acquire fundamental concepts in mathematics and will be prepared to deal with problems being emerged in several other fields of science, engineering, and health care. In addition, the faculty members of the BSRS department are also teaching various mathematics courses to engineering departments of the university. Having completed the courses taught by the BSRS department, students will be able to:        
 

Program Learning Outcomes
PLO Title Description
01 Mathematics Knowledge Learn the fundamental and advanced topics of mathematics and apply the concepts to the solution of scientific problems in the fields of applied mathematics, science, health care, and engineering.
02 Problem Analysis Identify, formulate and analyze scientific problems reaching substantiated conclusions using the first principles of mathematics, natural sciences, and engineering sciences.
03 Design/Development of Solutions Design solutions for scientific problems and develop methods that meet specified needs with appropriate consideration for public health and safety, cultural, societal, and environmental considerations.
04 Investigation Investigate scientific problems in a methodical way including analysis and interpretation of data and synthesis of the information to derive valid conclusions using first principles of mathematics, natural sciences, and engineering sciences.
05 Modern Tool Usage Create, select and apply appropriate techniques, resources, and modern mathematical and IT tools, including prediction and modeling, to scientific activities, with an understanding of the limitations.
06 The Mathematician and Society Apply reasoning informed by the contextual knowledge to assess societal, health, safety, legal and cultural issues and the consequent responsibilities relevant to professional practice and solution to scientific problems.
07 Environment and Sustainability Understand the impact of professional scientific solutions in societal and environmental contexts and demonstrate knowledge of and need for sustainable development.
08 Ethics Apply ethical principles and commit to professional ethics and responsibilities and norms of general practice.
09 Individual and Teamwork Work effectively, as an individual or in a team, in multifaceted and /or multidisciplinary settings.
10 Communication Communicate effectively, orally as well as in writing, on scientific activities with the scientific community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, and give and receive clear instructions.
11 Task Management Demonstrate management skills and apply mathematical principles to one’s own work, as a member and/or leader in a team, to manage tasks in a multidisciplinary environment.
12 Lifelong Learning Recognize the importance of and pursue lifelong learning in the broader context of innovation and technological developments.

Mapping of BS (Mathematics) Subjects to PLOs

Program Learning Outcomes
Semester Course Title 1 2 3 4 5 6 7 8 9 10 11 12
01 Calculus-I ✔ ✔ ✔                  
Set Theory ✔                      
Functional English   ✔         ✔         ✔
Islamic Studies/Ethics           ✔   ✔        
Physics-I                        
Introduction to Computers                        
02 Calculus II   ✔ ✔                  
Discrete Mathematics & Graph Theory ✔ ✔ ✔ ✔                
Statistics & Probability ✔ ✔ ✔ ✔                
Communication Skills                        
Pakistan Studies               ✔     ✔  
Physics-II                        
03 Differential Equations & Fourier Series ✔ ✔ ✔ ✔                
Linear Algebra ✔ ✔ ✔                  
Economics                        
Technical Report Writing & Presentation Skills                        
Classical Mechanics &Vector Analysis ✔ ✔ ✔                  
04 Dynamics ✔                      
Number Theory ✔                      
C++ Programming & MATLAB ✔       ✔             ✔
Group Theory ✔                      
Topology ✔ ✔ ✔                  
05 Algebraic Topology ✔                      
Differential Geometry & Tensor Analysis ✔                      
Partial Differential Equations   ✔ ✔ ✔                
Real Analysis- I ✔                      
Rings & Fields ✔                      
06 Introduction to Simulaion Software         ✔       ✔ ✔   ✔
Transforms ✔ ✔ ✔ ✔                
Complex Analysis ✔ ✔ ✔                  
Analytical Dynamics   ✔ ✔                  
Real Analysis-II ✔ ✔ ✔                  
07 Numerical Analysis-I   ✔ ✔           ✔ ✔   ✔
Functional Analysis ✔                      
Fluid Mechanics ✔ ✔ ✔                  
Optimization Techniques ✔ ✔ ✔                  
Mathematical Physics   ✔ ✔                  
08 Inferential Statistics   ✔ ✔                  
Numerical Analysis-II   ✔ ✔           ✔ ✔   ✔
Integral Equations ✔ ✔ ✔                  
Econometrics   ✔ ✔                  
Operations Research   ✔ ✔                  
Comprehensive Examination ✔             ✔ ✔ ✔ ✔ ✔