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-DIFFERENTIAL-GEOMETRY-COMPLETE
Differential Geometry — Complete Solved Notes
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Differential Geometry / Curves and SurfacesUniversity / BS, BSc, MSc, MS/MPhil foundation and revision
451-page, 30-chapter Differential Geometry resource covering curves, surfaces, curvature, fundamental forms, geodesics, Gauss–Bonnet and an introductory manifold/Riemannian bridge with fully solved mathematics.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Differential Geometry / Geometry
- MSc and legacy MSc Mathematics — Differential Geometry / Applicable Differential Geometry revision
- Legacy BSc Mathematics — Applicable Differential Geometry / curves and surfaces
- ADP Mathematics — contextual discovery where the subject is offered or needed for BS completion
- MS/MPhil Mathematics — foundation/revision and bridge to Riemannian Geometry / manifolds, not a complete research text
- Mathematics Library — separate owner-resource record
- Differential Geometry subject hub — one canonical child card
- Related from Vector & Tensor Analysis, Multivariable Calculus, Topology, Mechanics, Mathematical Physics and Relativity
Notes & SolutionsTMH-COMPLEX-ANALYSIS-VOLUME-I
Complex Analysis — Volume I: Complete Course Book, Theorems, Proofs & Solved Problems
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Complex Analysis / Complex VariablesUniversity / ADP, BS, BSc, MSc and revision
Study Complex Analysis Volume I in 54 chapters with rigorous theorems, proofs, worked examples, solved problems, contour integration, residues and conformal mapping. 54 chapters and 249 A4 pages, with Cauchy theory, series, residues, conformal mapping, harmonic methods, normal families, Picard theorems and Runge approximation.
7 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Complex Analysis where the programme supports the subject
- BS Mathematics — Books, Notes & Solutions → Complex Analysis / Complex Analysis I / Complex Variables
- Legacy BSc Mathematics — Books, Notes & Solutions → Complex Analysis / Complex Variables
- MSc / Master’s Mathematics — Complex Analysis revision and advanced one-variable function theory
- Mathematics Library — separate owner-resource record
- University Mathematics / Complex Analysis subject family — one canonical child page
- Related from Real Analysis, Calculus, ODE/PDE, Mathematical Physics, Numerical Analysis, Functional Analysis and Topology
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-ODE-COMPLETE-BOOK
Ordinary Differential Equations (ODE) — Complete Course Notes & Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Ordinary Differential Equations (ODE)University / ADP, BS, BSc and MSc revision
Study Ordinary Differential Equations (ODE) with first-order methods, Laplace transforms, systems, series, Sturm–Liouville, numerical methods and applications. 26 visible chapters progress from first-order equations to dynamical systems, Sturm–Liouville theory, numerical methods and asymptotics.
7 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- BS Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Differential Equations
- Legacy MSc Mathematics — Books, Notes & Solutions → Differential Equations / Mathematical Methods
- Mathematics Library — separate owner-resource record
- Mathematics for Computing & Other Programs — contextual ODE discovery where relevant
- Related from Numerical Analysis, PDE, Mathematical Modelling, Calculus and Linear Algebra
Notes & SolutionsTMH-NUMERICAL-ANALYSIS-I
Numerical Analysis-I / Numerical Methods — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Numerical Analysis / Numerical MethodsUniversity / ADP, BS, BSc, MSc and Computing
Study Numerical Analysis-I / Numerical Methods in a 40-chapter Math Hub course book with 293 worked examples covering errors, roots, linear systems, interpolation, ODEs, PDEs, FEM, optimization and FFT.
7 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Numerical Analysis / Numerical Methods
- ADP / Associate Degree Mathematics — relevant Numerical Methods discovery
- Legacy BSc/MSc Mathematics — Numerical Analysis / Numerical Methods revision
- Mathematics for Computing & Other Programs — contextual numerical-computing discovery
- Mathematics Library — separate owner-resource record
- Numerical Analysis subject hub — one canonical child resource
- Related from Linear Algebra, ODE, PDE, Calculus and Mathematical Computing
Notes & SolutionsTMH-REAL-ANALYSIS-I
Real Analysis I — Volume I — Complete Solved Notes
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Real Analysis IUniversity / ADP, BS, BSc, MSc and revision
Study Real Analysis I with rigorous definitions, expanded proofs, worked examples and exercises across real numbers, sequences, series, limits, continuity, differentiation, integration and multivariable analysis. Verified structure: 20 chapters, 133 sections, 295 theorem/result boxes and 174 worked examples.
7 mapped course placements
- ADP Mathematics — Real Analysis / Analysis discovery
- BS Mathematics — Real Analysis / Mathematical Analysis
- Legacy BSc Mathematics — Real Analysis revision
- Legacy MSc Mathematics — Real Analysis-I / Analysis revision
- Mathematics Library — separate owner-resource record
- Real Analysis I family — Volume I child card
- Related from Calculus, Topology/Metric Spaces, Numerical Analysis, ODE/PDE and Real Analysis II
Notes & SolutionsTMH-REAL-ANALYSIS-I-VOLUME-III
Real Analysis I — Volume III Complete Solved Notes
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Real Analysis IUniversity / ADP, BS, BSc, MSc and revision
Real Analysis I Volume III solved notes with rigorous proofs, worked examples and solved exercises on real numbers, sequences, series, limits, continuity, differentiation and Riemann integration. Verified review structure: 454 A4 pages, 6 chapters, 68 section/exercise pairs and topic exercises solved.
6 mapped course placements
- ADP Mathematics — Real Analysis / Analysis discovery
- BS Mathematics — Real Analysis I / Mathematical Analysis discovery
- Legacy BSc and MSc Mathematics — Real Analysis revision
- Real Analysis I family — Volume III child card
- Mathematics Library — separate owner-resource record
- Related from Calculus, Topology/Metric Spaces, Complex Analysis, Measure Theory and Real Analysis II
Notes & SolutionsTMH-REAL-ANALYSIS-II
Real Analysis II — Complete Course Notes, Proofs & Solved Problems
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Real Analysis IIUniversity / BS, BSc, MSc, MS and MPhil revision
A complete 20-chapter Real Analysis II course resource covering rigorous Riemann and Riemann-Stieltjes integration, bounded variation, improper integrals, uniform convergence, power series, approximation, Fourier series, Euclidean spaces, multivariable analysis and multiple Riemann integration.
6 mapped course placements
- BS Mathematics — Real Analysis II / Advanced Analysis discovery
- Legacy BSc / MSc Mathematics — Real Analysis and advanced calculus revision
- ADP Mathematics — relevant analysis overlap where offered
- MS / MPhil Mathematics — rigorous refresher and research preparation
- Mathematics Library — separate owner-resource record
- Related from Calculus, Measure Theory, Functional Analysis and Topology
BooksLIB-0687
Introduction to GNU Octave: A brief tutorial for linear algebra and calculus students
Jason Lachniet
AlgebraADP / BS / MS-MPhil
Jason Lachniet · 2017 · Attribution-ShareAlike
BooksLIB-0488
Precalculus
David H. Collingwood; K. David Prince; Matthew M. Conroy
AlgebraIntermediate / ADP
University of Washington / Authors · 2025 edition · Educational/scholarly-use permission; see official page
BooksLIB-0489
Precalculus – College Algebra – Trigonometry
Carl Stitz; Jeff Zeager
AlgebraIntermediate / ADP / BS
Authors · Current open edition · CC BY-NC-SA
BooksLIB-0706
Informal Calculus with Applications to Biological and Environmental Sciences
Tyler Seacrest
Applied MathematicsADP / BS / MS-MPhil
TRAILS · 2021 · Attribution
BooksLIB-0004
A Collection of Papers on Chaos Theory and Its Applications
Bracken, Paul; Uzunov, Dimo I.
CalculusADP / BS / MS-MPhil
IntechOpen · 2021 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0015
Active Calculus
Matthew Boelkins
CalculusADP / BS
Author / Active Calculus · Current open edition · CC BY-SA
BooksLIB-0643
Active Calculus 2.0
Matt Boelkins
CalculusADP / BS / MS-MPhil
Grand Valley State University · 2017 · Attribution-NonCommercial-ShareAlike
BooksLIB-0678
Active Calculus Multivariable
Steve Schlicker
CalculusADP / BS / MS-MPhil
Grand Valley State University · 2017 · Attribution-NonCommercial-ShareAlike
BooksLIB-0028
Advanced Problems in Mathematics
Siklos, Stephen
CalculusBS / MS-MPhil / PhD
Open Book Publishers · 2019 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0045
Advances in Dynamical Systems Theory, Models, Algorithms and Applications
Carpentieri, Bruno
CalculusADP / BS / MS-MPhil
IntechOpen · 2021 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0073
APEX Calculus
Gregory Hartman; Brian Heinold; Troy Siemers; Dimplekumar Chalishajar
CalculusADP / BS
Authors · Version 4.0 · CC BY-NC
BooksLIB-0695
APEX PreCalculus
Amy Givler Chapman
CalculusADP / BS / MS-MPhil
APEX Calculus · 2017 · Attribution-NonCommercial
BooksLIB-0091
Applied Mathematics and Fractional Calculus
González, Francisco Martínez; Kaabar, Mohammed K. A.
CalculusBS / MS-MPhil / PhD
Not listed in snapshot · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0092
Applied Mathematics and Fractional Calculus II
González, Francisco Martínez; Kaabar, Mohammed K. A.
CalculusBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0105
Basic Numerical Methods in Meteorology and Oceanography
Döös, Kristofer; Lundberg, Peter; Aldama-Campino, Aitor
CalculusADP / BS / MS-MPhil
Stockholm University Press · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0112
Business Calculus with Excel
Mike May; Anneke Bart
CalculusADP / BS
Saint Louis University / Authors · Current open edition · CC BY-NC-SA
BooksLIB-0113
Calculus
Gilbert Strang
CalculusADP / BS
MIT OpenCourseWare / Wellesley-Cambridge Press · 3rd ed. · See MIT OCW / book terms
