Notes & SolutionsTMH-PLANE-CURVES-ANALYTIC-GEOMETRY
Plane Curves & Analytic Geometry
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Plane Curves / Analytic Geometry / Conic SectionsUniversity / ADP, BS, legacy BSc, B.Ed specialization and MSc revision
Study Plane Curves & Analytic Geometry for ADP and BS Mathematics with conics, polar and parametric curves, tangents, normals, curve tracing, curvature, 3-D lines, planes and quadric surfaces, plus detailed solved exercises.
8 mapped course placements
- ADP / Associate Degree Mathematics — Books, Notes & Solutions → Geometry / Analytic Geometry
- BS Mathematics — Books, Notes & Solutions → Geometry / Analytic Geometry / Calculus-related geometry
- Legacy BSc Mathematics — Calculus & Analytic Geometry / Geometry
- B.Ed Mathematics specialization — content/elective discovery where applicable
- MSc Mathematics — prerequisite and revision discovery only
- Mathematics Library — separate owner-resource record
- Geometry / Analytic Geometry subject hub — one canonical child card
- Related from Calculus, Differential Geometry, Vector & Tensor Analysis and Mechanics
Notes & SolutionsTMH-LA-COMPLETE-BOOK
Linear Algebra — Complete Course Book, Theorems, Proofs & Solved Problems
Rana Ali Hasan · Mehreen Kanwal
Linear AlgebraUniversity / Undergraduate
19-chapter Linear Algebra resource with matrices, systems, vector spaces, transformations, eigenvalues, orthogonality, spectral theory, canonical forms and computational applications.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- BS Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- Legacy BSc Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- Mathematics Library — separate owner-resource record
- Algebra subject hub — Linear Algebra child card
- Mathematics for Computing & Other Programs — contextual Linear Algebra discovery
Notes & SolutionsTMH-AA1-GROUP-THEORY
Abstract Algebra-I (Algebra-I / Algebra 1): Group Theory — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Group TheoryUniversity / Undergraduate
18-chapter proof-based Group Theory resource covering algebraic preliminaries, groups, subgroups, cyclic groups, cosets, homomorphisms, actions, Cauchy and Sylow theory.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra (where Group Theory is offered)
- BS Mathematics — Books, Notes & Solutions → Algebra / Abstract Algebra
- Legacy BSc Mathematics — Books, Notes & Solutions → Algebra
- Mathematics Library — separate owner-resource record
- Abstract Algebra hub — Algebra-I / Group Theory child card
- Related from Linear Algebra — separate algebra-family resource
Notes & SolutionsTMH-AA2-RINGS-FIELDS-MODULES
Abstract Algebra-II (Algebra-II / Algebra 2): Rings, Fields & Modules — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Rings, Fields & ModulesUniversity / Undergraduate and revision
23-chapter Abstract Algebra-II resource covering rings, ideals, quotient rings, ED/PID/UFD, polynomial rings, finite fields, extensions and modules.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra (where Rings, Fields & Modules is offered)
- BS Mathematics — Books, Notes & Solutions → Algebra / Abstract Algebra
- Legacy BSc/MSc Mathematics — Algebra resources
- Mathematics Library — separate owner-resource record
- Abstract Algebra hub — Algebra-II / Rings, Fields & Modules child card
- Related from Abstract Algebra-I — continuation resource
Notes & SolutionsTMH-QR-V1-2026
Quantitative Reasoning — Volume I Complete 2026
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Quantitative ReasoningUniversity / General Education / Computing & Other Programs
Complete 16-unit quantitative reasoning course resource with explanations, worked examples, exercise banks, a master formula sheet and applied practice.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Quantitative Reasoning
- BS Mathematics — Quantitative Reasoning / General Education resources
- Legacy BSc Mathematics — Supplementary undergraduate quantitative resource
- Mathematics Library — separate owner-resource record: QR-V1-2026
- Quantitative Reasoning hub — individual Volume I card
- Mathematics for Computing & Other Programs — contextual Quantitative Reasoning discovery
Notes & SolutionsTMH-DISCRETE
Discrete Mathematics — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Discrete MathematicsUniversity / Undergraduate
Complete 20-chapter course resource covering logic, proofs, sets, relations, counting, graph theory, algorithms, Boolean algebra, automata and advanced discrete methods.
6 mapped course placements
- ADP / ADP Mathematics — Books, Notes & Solutions
- BS Mathematics — Books, Notes & Solutions / Discrete Structures
- Legacy BSc Mathematics — relevant Discrete Mathematics discovery
- MSc Mathematics — foundation and revision support only
- Mathematics for Computing & Other Programs — primary Discrete Mathematics discovery
- Mathematics Library — separate owner-resource record
Notes & SolutionsTMH-CALC-I
Calculus I Complete Solved Notes
Rana Ali Hasan · Mehreen Kanwal
CalculusUniversity / Undergraduate
Functions, limits, continuity, derivatives, applications, integration and applications of definite integrals with worked examples and practice material.
3 mapped course placements
- ADP Mathematics — Calculus I
- BS Mathematics — Single Variable Calculus
- Legacy BSc — Calculus and Analytic Geometry
Notes & SolutionsTMH-CALC-II
Calculus II Complete Course Book & Solved Notes
Rana Ali Hasan · Mehreen Kanwal
CalculusUniversity / Undergraduate
Integration techniques, improper integrals, sequences, convergence tests, power series, Taylor/Maclaurin series, parametric equations and polar calculus.
3 mapped course placements
- ADP Mathematics — Calculus II
- BS Mathematics — Integral Calculus
- Legacy BSc — Advanced Calculus
Notes & SolutionsTMH-CALC-III
Calculus III Multivariable & Vector Calculus Complete Notes
Rana Ali Hasan · Mehreen Kanwal
CalculusUniversity / Undergraduate
Vectors, partial derivatives, gradients, optimization, multiple integration, vector fields, line integrals, Green, Stokes and Divergence theorems.
3 mapped course placements
- ADP Mathematics — Calculus III
- BS Mathematics — Multivariable Calculus
- MSc Mathematics — Foundation revision
Notes & SolutionsTMH-VT-COMPLETE-BOOK
Vector and Tensor Analysis — Complete Course Book, Solved Examples & Exercises
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Vector and Tensor AnalysisUniversity / Undergraduate and revision
18-chapter Vector and Tensor Analysis resource progressing from vector algebra, fields, integral theorems and curvilinear coordinates to Cartesian tensors, metrics, Christoffel symbols, curvature, applications and potential theory.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Vector & Tensor Analysis / Tensor Analysis
- ADP / Associate Degree Mathematics — where offered or listed as an elective
- Legacy BSc Mathematics — Books, Notes & Solutions → Vector Analysis / Vector & Tensor Analysis
- MSc Mathematics / legacy MSc revision — contextual discovery
- Mathematics Library — separate owner-resource record
- Vector Analysis / Vector Calculus subject discovery
- Tensor Analysis subject discovery
- Related from Multivariable Calculus, Differential Geometry, Mechanics, Mathematical Physics and PDE
Notes & SolutionsTMH-VT-V2-SOLUTIONS
Vector & Tensor Analysis — Volume II Solutions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Vector and Tensor Analysis SolutionsUniversity / Undergraduate and revision
Dedicated Volume II companion with 975 step-by-step solutions across 18 chapters and 96 exercises, from vector algebra and integral theorems to tensor transformations, metrics, Christoffel symbols and curvature.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Vector & Tensor Analysis / Tensor Analysis → Volume II Solutions
- ADP / Associate Degree Mathematics — contextual placement where the subject is offered
- Legacy BSc Mathematics — Vector Analysis / Vector & Tensor Analysis → Solutions
- MSc Mathematics / legacy MSc revision — contextual problem practice
- Mathematics Library — separate owner-resource record labelled Solutions
- Vector and Tensor Analysis subject hub — Volume II child card
- Existing course-book page — Open Volume II Solutions related action
- Related from Calculus III, Differential Geometry, Mechanics, Mathematical Physics and PDE
Notes & SolutionsTMH-NUMBER-THEORY
Number Theory — Complete Course Notes & Book
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Number TheoryUniversity / Undergraduate and advanced bridge
Study Number Theory from divisibility and primes to congruences, quadratic reciprocity, Diophantine equations, continued fractions, algebraic number theory, finite fields and cryptographic applications, with proofs, worked examples and exercises.
8 mapped course placements
- ADP / Associate Degree Mathematics — Books, Notes & Solutions → Number Theory / Pure Mathematics
- BS Mathematics — Books, Notes & Solutions → Number Theory / Pure Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Number Theory / Higher Arithmetic
- Legacy MSc / revision — foundation discovery where Number Theory is relevant
- Mathematics Library — separate owner-resource record
- University Mathematics / Pure Mathematics subject hub — Number Theory child card
- Mathematics for Computing & Other Programs — contextual discovery from Discrete Mathematics, Cryptography and Finite Fields
- Related from Discrete Mathematics, Abstract Algebra and Cryptography — one canonical Number Theory page
Notes & SolutionsUNS-MIT-CONVEX-6253
MIT 6.253 Convex Analysis and Optimization — Notes & Solutions
MIT OpenCourseWare / Dimitri Bertsekas
Convex AnalysisBS Mathematics; MS / MPhil Mathematics; PhD Mathematics; Mathematics for Computing & Other Programs
Complete lecture notes, five homework solution sets and exam solutions.
12 mapped course placements
- Convex Analysis — BS Mathematics
- Convex Analysis — MS / MPhil Mathematics
- Convex Analysis — PhD Mathematics
- Convex Analysis — Mathematics for Computing & Other Programs
- Optimization — BS Mathematics
- Optimization — MS / MPhil Mathematics
- Optimization — PhD Mathematics
- Optimization — Mathematics for Computing & Other Programs
- Variational Inequalities — BS Mathematics
- Variational Inequalities — MS / MPhil Mathematics
- Variational Inequalities — PhD Mathematics
- Variational Inequalities — Mathematics for Computing & Other Programs
Notes & SolutionsUNS-MIT-DIFF-18155
MIT 18.155 Differential Analysis — Graduate Notes & Assignments
MIT OpenCourseWare
Real AnalysisBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Graduate analysis assignments and selected solutions.
9 mapped course placements
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — PhD Mathematics
- Functional Analysis — BS Mathematics
- Functional Analysis — MS / MPhil Mathematics
- Functional Analysis — PhD Mathematics
- Partial Differential Equations — BS Mathematics
- Partial Differential Equations — MS / MPhil Mathematics
- Partial Differential Equations — PhD Mathematics
Notes & SolutionsUNS-TORONTO-RIEMANN-2025
University of Toronto Riemannian Geometry 2025–26 — Course Hub
University of Toronto Mathematics / Fedor Manin
Riemannian GeometryBS Mathematics; MS / MPhil Mathematics
Current cross-listed undergraduate/master's Riemannian Geometry course context.
4 mapped course placements
- Riemannian Geometry — BS Mathematics
- Riemannian Geometry — MS / MPhil Mathematics
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
Notes & SolutionsUNS-UPENN-RIEMANN-660
UPenn Math 660 Riemannian Geometry — Notes & Assignments
University of Pennsylvania Mathematics / Wolfgang Ziller
Riemannian GeometryBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Riemannian Geometry notes and twelve assignments.
6 mapped course placements
- Riemannian Geometry — BS Mathematics
- Riemannian Geometry — MS / MPhil Mathematics
- Riemannian Geometry — PhD Mathematics
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — PhD Mathematics
Notes & SolutionsUNS-COLORADO-SEMIGROUP
University of Colorado Semigroup Theory — Reading & Exercises
University of Colorado Mathematics
Semigroup TheoryBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Semigroup theory topics with structured exercises.
6 mapped course placements
- Semigroup Theory — BS Mathematics
- Semigroup Theory — MS / MPhil Mathematics
- Semigroup Theory — PhD Mathematics
- Advanced Algebra — BS Mathematics
- Advanced Algebra — MS / MPhil Mathematics
- Advanced Algebra — PhD Mathematics
Notes & SolutionsUNS-OXFORD-VI-C46-2026
Oxford C4.6 Nonlinear PDEs 2025–26 — Notes & Solved Problem Sheets
University of Oxford Mathematical Institute / Andrea Mondino
Variational InequalitiesBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Current 2025–26 master's course with 2026 notes and multiple solution files.
15 mapped course placements
- Variational Inequalities — BS Mathematics
- Variational Inequalities — MS / MPhil Mathematics
- Variational Inequalities — PhD Mathematics
- Functional Analysis — BS Mathematics
- Functional Analysis — MS / MPhil Mathematics
- Functional Analysis — PhD Mathematics
- Advanced Functional Analysis — BS Mathematics
- Advanced Functional Analysis — MS / MPhil Mathematics
- Advanced Functional Analysis — PhD Mathematics
- Partial Differential Equations — BS Mathematics
- Partial Differential Equations — MS / MPhil Mathematics
- Partial Differential Equations — PhD Mathematics
