
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-PDE-VOLUME-I
Partial Differential Equations (PDE) — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Partial Differential Equations (PDE)University / BS, BSc, MSc and MS/MPhil bridge
Study Partial Differential Equations from characteristics and classification to wave, heat, Laplace/Poisson equations, Fourier and Laplace transforms, Green functions, numerical PDEs, Sobolev spaces, variational methods and nonlinear PDEs. 32 chapters cover classical equations, transforms, Green functions, numerical PDEs, weak formulations, variational methods and nonlinear PDEs.
6 mapped course placements
- BS Mathematics — Partial Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — PDE / Mathematical Methods where the scheme supports it
- Legacy MSc Mathematics — Partial Differential Equations / Applied Mathematics
- MS / MPhil Mathematics — classical-to-modern PDE bridge
- Mathematics Library — separate owner-resource record
- Related from ODE, Numerical Analysis, Fourier Analysis, Functional Analysis, Vector & Tensor Analysis and Mathematical Modelling
BooksLIB-0034
Advances and Trends in Mathematical Modelling, Control and Identification of Vibrating Systems
Beltran-Carbajal, Francisco; Rosas-Caro, Julio Cesar; Ramirez, Juan M; Félix Patrón, Roberto Salvador
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0304
Lines of Inquiry in Mathematical Modelling Research in Education
Stillman, Gloria Ann; Brown, Jill P.
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
Springer Nature · 2019 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0341
Mathematical Modelling and Machine Learning Methods for Bioinformatics and Data Science Applications
Bianchini, Monica; Sampoli, Maria Lucia
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0342
Mathematical Modelling in Biomedicine
Volpert, Vitaly
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0343
Mathematical Modelling in Engineering & Human Behaviour 2018
Carlos Cortés, Juan; Jódar, Lucas; Rodríguez, Luis Acedo
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0344
Mathematical Modelling of Energy Systems and Fluid Machinery
Morini, Mirko; Pinelli, Michele
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0365
Measuring Professional Competence for the Teaching of Mathematical Modelling
Wess, Raphael; Klock, Heiner; Siller, Hans-Stefan; Greefrath, Gilbert
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
Springer Nature · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0583
Teaching and Learning Mathematical Modelling: Approaches and Developments from German Speaking Countries
Greefrath, Gilbert; Vorhölter, Katrin
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
Springer Nature · 2016 · https://creativecommons.org/licenses/by/4.0/