Relationships, Rates, Resources & Population Models
Original concepts, methods, worked examples, exercises and applied revision.
The Math Hub original resource
Tools for Quantitative Reasoning — Volume I
Individual quantitative reasoning notes with six complete strands, worked examples, applications and solutions. Prepared by Rana Ali Hasan and Mehreen Kanwal.
Overview, purpose, benefits and learning outcomes
This independent resource develops quantitative interpretation through formulas, tables, graphs, models, logic, data, probability and applied problem solving. It is not official university material.
Who this resource is for
ADP, BS, BSc, computing, engineering, business and other undergraduate learners where it matches the current scheme of studies.
Six-strand detailed coverage
Graphs & Analytical Models
Original concepts, methods, worked examples, exercises and applied revision.
Inequalities & Optimization
Original concepts, methods, worked examples, exercises and applied revision.
Patterns, Scale & Comparative Quantities
Original concepts, methods, worked examples, exercises and applied revision.
Logic, Arguments, Sets & Venn Diagrams
Original concepts, methods, worked examples, exercises and applied revision.
Data, Statistics & Probability
Original concepts, methods, worked examples, exercises and applied revision.
Coded architecture and matched solutions
420 original items / 472 total coded architecture are shown across the six strands.
Pakistan University / Course Crosswalk
Curriculum discovery context for HEC Pakistan, University of the Punjab, University of Sargodha, COMSATS, UCP, Superior, Minhaj, IBA, Bahria, Habib, Sukkur IBA and other Pakistani institutions. Course placement varies and no endorsement is claimed.
Reference books and further study
Use course-aligned quantitative reasoning, statistics, algebra and problem-solving texts, checking the current university scheme and applicable edition.
Dedicated FAQs
What does this resource cover?
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Is it official university material?
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Can ADP and BS students use it?
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Are all units or strands shown individually?
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About the Authors
Rana Ali Hasan — MPhil Mathematics and Mehreen Kanwal — MPhil Mathematics.
Related resources
ADP Books, Notes & Solutions · BS Mathematics · Mathematics Library