
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-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
BooksLIB-0705
Multivariable Calculus
Don Shimamoto
CalculusADP / BS / MS-MPhil
Don Shimamoto · 2019 · Attribution
Notes & SolutionsUNS-LAMAR-CALCIII
Paul's Online Math Notes — Calculus III Notes & Practice Solutions
Lamar University / Paul Dawkins
Calculus IIIAssociate Degree (AD) Mathematics; BS Mathematics; Mathematics for Computing & Other Programs
Multivariable/Calculus III practice and solution options.
9 mapped course placements
- Calculus III — Associate Degree (AD) Mathematics
- Calculus III — BS Mathematics
- Calculus III — Mathematics for Computing & Other Programs
- Multivariable Calculus — Associate Degree (AD) Mathematics
- Multivariable Calculus — BS Mathematics
- Multivariable Calculus — Mathematics for Computing & Other Programs
- Vector Analysis — Associate Degree (AD) Mathematics
- Vector Analysis — BS Mathematics
- Vector Analysis — Mathematics for Computing & Other Programs
Notes & SolutionsUNS-MIT-CVAR-18S096
MIT 18.S096 Matrix Calculus — Calculus of Variations Notes & Solutions
MIT OpenCourseWare
Calculus of VariationsBS Mathematics; MS / MPhil Mathematics; Mathematics for Computing & Other Programs
Matrix calculus/calculus of variations notes and solved problems.
12 mapped course placements
- Calculus of Variations — BS Mathematics
- Calculus of Variations — MS / MPhil Mathematics
- Calculus of Variations — Mathematics for Computing & Other Programs
- Linear Algebra — BS Mathematics
- Linear Algebra — MS / MPhil Mathematics
- Linear Algebra — Mathematics for Computing & Other Programs
- Optimization — BS Mathematics
- Optimization — MS / MPhil Mathematics
- Optimization — Mathematics for Computing & Other Programs
- Multivariable Calculus — BS Mathematics
- Multivariable Calculus — MS / MPhil Mathematics
- Multivariable Calculus — Mathematics for Computing & Other Programs
Notes & SolutionsUNS-MC-119
Multivariable Calculus by M Usman Hamid and M Zeeshan Ahmad
MathCity / source contributor
Multivariable CalculusAssociate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
Course Notes · Multivariable Calculus · Associate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
12 mapped course placements
- Multivariable Calculus — Associate Degree (AD) Mathematics
- Multivariable Calculus — BS Mathematics
- Multivariable Calculus — MS / MPhil Mathematics
- Multivariable Calculus — Legacy BSc Mathematics Resources
- Calculus III — Associate Degree (AD) Mathematics
- Calculus III — BS Mathematics
- Calculus III — MS / MPhil Mathematics
- Calculus III — Legacy BSc Mathematics Resources
- Vector Analysis — Associate Degree (AD) Mathematics
- Vector Analysis — BS Mathematics
- Vector Analysis — MS / MPhil Mathematics
- Vector Analysis — Legacy BSc Mathematics Resources
Notes & SolutionsUNS-MC-120
Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
MathCity / source contributor
Multivariable CalculusAssociate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
Course Notes · Multivariable Calculus · Associate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
12 mapped course placements
- Multivariable Calculus — Associate Degree (AD) Mathematics
- Multivariable Calculus — BS Mathematics
- Multivariable Calculus — MS / MPhil Mathematics
- Multivariable Calculus — Legacy BSc Mathematics Resources
- Calculus III — Associate Degree (AD) Mathematics
- Calculus III — BS Mathematics
- Calculus III — MS / MPhil Mathematics
- Calculus III — Legacy BSc Mathematics Resources
- Vector Analysis — Associate Degree (AD) Mathematics
- Vector Analysis — BS Mathematics
- Vector Analysis — MS / MPhil Mathematics
- Vector Analysis — Legacy BSc Mathematics Resources