Mehreen Kanwal is an experienced mathematics lecturer, academic writer and mathematics resource developer based in Sargodha, Punjab, Pakistan. She holds an MPhil in Mathematics and serves as a Lecturer in Mathematics at Dar-e-Arqam Girls College, Sargodha.
Her professional work combines classroom teaching with academic writing, course development and student-focused mathematics resources. She contributes to mathematics books, comprehensive notes, chapter-wise worked solutions, structured courses, practice material and assessment resources for school, college and university learners.
Through institutional teaching and independent academic resource development, she presents mathematics from foundational concepts through advanced undergraduate and postgraduate topics in a clear, structured and learner-friendly manner.
Areas of mathematical expertise
Foundational Mathematics
Arithmetic, algebra, complex numbers, matrices, vectors, functions, trigonometry, Euclidean and coordinate geometry, precalculus and calculus.
Pure Mathematics
Linear and abstract algebra, group, ring and module theory, number theory, real and complex analysis, functional analysis, measure theory, topology and differential geometry.
Applied Mathematics
Ordinary and partial differential equations, integral equations, vector and tensor analysis, mechanics, fluid dynamics, mathematical physics, modelling, dynamical systems, calculus of variations, optimisation and operations research.
Numerical & Computational Mathematics
Numerical analysis, numerical linear algebra, scientific computing, computational algebra, symbolic computation, mathematical algorithms and computational modelling.
Probability, Statistics & Discrete Mathematics
Probability, mathematical statistics, stochastic processes, statistical methods, data analysis, set theory, logic, combinatorics, graph theory, discrete structures and recurrence relations.
Teaching & Academic Development
Her work beyond classroom instruction includes:
- Mathematics book and academic content development
- Comprehensive notes for school, college and university learners
- Chapter-wise worked solutions
- Structured course planning
- Problem development and practice material
- Assessment and examination resources
- Curriculum-oriented academic material
- Concept-based and step-by-step mathematics instruction
Her teaching and academic writing center on conceptual understanding, mathematical reasoning, organised presentation and progressive problem solving, helping students build confidence from elementary topics to advanced mathematics.