Research Posters
Registration of peer-reviewed academic discoveries, conceptual insights, and empirical studies from various academic departments.
Reliable Medical Image Analysis Using Vision - Language Model
The increasing use of medical imaging technologies such as CT, MRI, and X-ray has significantly increased the volume of diagnostic data generated in healthcare systems. Radiologists must analyze large numbers of images and produce detailed reports, making the process time-consuming and sometimes inconsistent. Although artificial intelligence has shown promising results in medical image analysis, many existing systems focus mainly on prediction accuracy and often lack reliability, interpretability, and seamless integration with clinical workflows. This research proposes a Reliable Medical Report Analyzer using Visual–Language Models (VLMs) that can jointly understand medical images and textual medical knowledge to support automated report analysis. The proposed framework performs preprocessing and feature extraction from medical images to capture relevant visual patterns. These visual representations are then integrated with language modeling components to enable cross-modal understanding between imaging data and medical terminology. To improve system reliability, uncertainty estimation and calibration techniques are incorporated to assess the confidence of model predictions. The proposed approach aims to assist radiologists by providing consistent and reliable automated analysis, reducing workload and supporting the integration of AI-based tools into real clinical workflows.
Mathematical Modelling Of Bridge Structures: Application Of Cag In Civil Engineering
This project examines how calculus and analytical geometry support modern bridge design, focusing on suspension, arch, cable-stayed, and beam structures. Conic sections and polynomials are used to model arches and cables, while differentiation aids in optimization and stress analysis. Integration calculates areas, volumes, and load distributions, and vector calculus helps analyze forces in three dimensions. By combining mathematical modeling with real-world case studies, the project highlights the critical role of these concepts in civil engineering.
Trigonometry
This project explores how trigonometry models real-world spatial and periodic phenomena, from structural design to wave mechanics. By analyzing fundamental ratios and identities, the study demonstrates how trigonometric functions enable precise calculations in navigation, engineering, and physics. Ultimately, the research highlights trigonometry as a vital tool for bridging theoretical mathematics with practical technological applications
Domain & Range
This project explores how trigonometry models real-world spatial and periodic phenomena, from structural design to wave mechanics. By analyzing fundamental ratios and identities, the study demonstrates how trigonometric functions enable precise calculations in navigation, engineering, and physics. Ultimately, the research highlights trigonometry as a vital tool for bridging theoretical mathematics with practical technological applications
Functions
This project investigates how calculus specifically the study of exponential functions, derivatives, limits, and integrals can be applied to model the concentration of a drug in the human bloodstream over time. Using Ibuprofen as a case study, we define a mathematical function f(t) = D \cdot e^{-kt}, compute its derivative to analyze the rate of drug elimination, evaluate limits to determine long-term behavior, and use definite integrals to calculate total drug exposure. The results are interpreted within the clinical concept of the therapeutic window to demonstrate why doctors prescribe specific dosages and time intervals.
Finding The Perfect Shot: Kinematic Analysis And Optimization Of A Free Throw
This project uses kinematics and calculus to optimize real-world sports applications. Motion is modeled as projectile motion, and differentiation is used to find optimal launch angles, match landing slopes safely, and maximize distance. The results demonstrate how calculus applies to real-world sports performance.
Coordinate Geometry
This project explores the intersection of calculus and coordinate geometry within Computer Science and AI. We analyze how derivatives optimize neural network learning, and how limits resolve graphical rendering errors. By mapping software glitches onto a Cartesian plane, we demonstrate that complex computational problems can be solved through elegant mathematical principles.
Kinematics
This project explores how calculus is applied in kinematics to analyze motion. We use derivatives and integrals to find velocity, acceleration, displacement and time for moving objects. It shows how mathematical models help us understand real world motion and solve practical problems in physics and engineering.
Domain & Range
This project explores the fundamental roles of domain and range in the analysis of mathematical functions within the context of Calculus. By identifying the set of possible inputs and resulting outputs, we examine how restrictions, such as non-negative radicands and non-zero denominators, determine the continuity and differentiability of a function. The study highlights how understanding these boundaries is essential for sketching accurate graphs, evaluating limits, and solving real-world optimization problems where physical constraints define the functional limits.
Concepts And Applications Of Continuity And Discontinuity
Continuity and discontinuity are essential concepts in calculus that describe the behavior of functions. A function is continuous when it has no breaks or gaps, while discontinuity occurs when interruptions such as jumps, holes, or infinite values appear. This project examines the definitions and types of continuity and discontinuity using limits and graphical analysis. It also explores real-life applications, where continuity models smooth changes like motion and temperature, and discontinuity represents sudden changes such as signal shifts or market fluctuations.
Limits & Differentiation.
In the modern corporate landscape, businesses must navigate complex trade-offs between cost, price, and demand to remain competitive. This project explores the practical application of mathematical calculus—specifically limits and differentiation—as a primary tool for strategic business optimization. By applying the First and Second Derivative Tests, we demonstrate how firms can mathematically identify critical points to maximize profit and revenue while minimizing operational costs. Through real-world scenarios, including production planning and inventory control, this study illustrates that calculus is not merely an academic exercise but a foundational framework for data-driven decision-making, leading to improved resource allocation and higher profit margins.
Graphs
This project focuses on the importance of graphs in understanding the fundamental concepts of calculas. It explains how graphs visually represent functions and help in analysing limits, derivatives,and integrals. Derivatives describe the rate of change and slope of curves, while integrals represent the area under a curve. Through different types of graphs, complex mathematical ideas become easier to understand and apply in real-life situations.
Derivatives
A derivative is a fundamental concept in calculus that measures how a function changes as its input changes. It represents the rate of change or the slope of a curve at a specific point. Derivatives are widely used in science, engineering, and economics to model real-world phenomena such as motion, growth, and optimization. They help determine maximum and minimum values, analyze trends, and understand how different variables are related.
Integration & Straight Line
This project demonstrates that integration and straight-line mathematics are not merely abstract classroom topics — they are the quantitative foundation upon which the entire field of modern AI is built. The NNO-2025 model concretely shows how these concepts operate together inside a working deep learning system: integration governs how errors are measured and how weights are updated, while linear functions define the computational structure of every neuron. By bridging theoretical mathematics and practical implementation, this project equips students with both the intuition and the code to understand — and build — real AI systems.
Average Heart Rate During Exercise
Topics of calculus such as polynomials, conics, continuity, differentiation, integration, and vectors are used to model heart rate (HR) behavior in kinesiology. For software engineers, these mathematical ideas form the basis of fitness tracking and performance analysis systems, helping to create accurate and efficient health-monitoring applications.
Optimizing Karachi'S Emergency Response
This project presents a Mathematical Framework for Emergency Logistics Optimization within a complex urban environment. By identifying three strategic high-traffic landmarks as vertices, we established a Geospatial Rescue Zone mapped onto a precise coordinate system.The methodology involves transforming physical transport routes into Linear Mathematical Functions, allowing for a rigorous analysis of the service territory's boundaries. At the core of the model, we utilize Calculus-based Optimization to derive the Centroid ($G$), identifying the singular point that minimizes the mean response time for emergency interventions. To conclude the analysis, Definite Integration is applied to quantify the total coverage area, providing a data-driven model for resource allocation and service capacity. This study bridges the gap between Theoretical Calculus and Practical Urban Engineering, offering a scalable solution for modern emergency management systems.
Derivatives
Calculus: The Mechanics of Derivatives. This project explores derivatives as the mathematical engine for understanding dynamic systems. By measuring the instantaneous rate of change and mapping the slope of a curve at any specific point, derivatives allow us to transition from static data to predictive modeling. We demonstrate how finding critical points (where the slope is zero) is essential for optimization, allowing us to identify maximum peaks and minimum valleys. Through interactive visualization, this research bridges theoretical calculus with practical applications in physics, economics, and computational algorithms.
Limits & Differentiation.
Calculus is built on the fundamental concepts of limits and differentiation. A limit describes the value that a function approaches as the input gets closer to a certain point. Differentiation, based on limits, is used to determine the rate at which a function changes. These concepts help in finding slopes of curves and understanding changes in quantities. Together, limits and differentiation play an important role in solving real-world problems in science, engineering, and mathematics.
Hiretrack
HireTrack is a web-based job tracker for students and recent grads that replaces spreadsheets with a structured pipeline. It organizes applications by stage, provides analytics on response rates and source effectiveness, and tracks contacts, resume versions, and interviews while flagging stale applications. Built with HCI principles like mental model alignment and instant feedback, it turns job searching from an anxious, memory-dependent process into a clear, data-driven workflow.
Attendify
Attendify is a smart QR-based attendance system that allows students to mark their presence by scanning a code, making the process fast, secure, & free from proxy issues.
Shesafe
SheSafe is a women safety and travel assistance application designed to help users travel securely. It provides safe route navigation, nearby emergency services, weather updates, transport planning, ride sharing, and SOS alerts. The system also includes family tracking, child safety, virtual blood bank, and e-challan notifications. Its main goal is to improve user safety and provide quick help during emergencies.
Shu Pool
SHU Pool is a university carpooling platform that connects students traveling on similar routes to share rides. It helps reduce transportation costs, save time, and provide a reliable commuting solution while promoting resource sharing and convenience within the university community.