SeoulTechPSE.github.io/index.qmd at main · SeoulTechPSE/SeoulTechPSE.github.io · GitHub

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## Welcome {.unnumbered}

**Chemical engineering** occupies a unique position at the interface between molecular sciences and engineering. Intimately linked with the fundamental subjects of chemistry, biology, **mathematics**, and physics — and in close collaboration with fellow engineering disciplines like materials science, computer science, and mechanical, electrical, and civil engineering — chemical engineering offers unparalleled opportunities to do great things

<!-- [Lecture Notes (pdf)](Engineering-Mathematics.pdf) -->

---

## Contents {.unnumbered}

### Part I

* [Introduction to Differential Equations](ch_01_Introduction_to_Differential_Equations.qmd)
* [First-Order Differential Equations](ch_02_First-Order_Differential_Equations.qmd)
* [Higher-Order Differential Equations](ch_03_Higher-Order_Differential_Equations.qmd)
* [The Laplace Transform](ch_04_The_Laplace_Transform.qmd)
* [Series Solutions of Linear Differential Equations](ch_05_Series_Solutions_of_Linear_Differential_Equations.qmd)
* [Matrices](ch_08_Matrices.qmd)
* [Systems of Linear Differential Equations](ch_10_Systems_of_Linear_Differential_Equations.qmd)
* [Systems of Nonlinear Differential Equations](ch_11_Systems_of_Nonlinear_Differential_Equations.qmd)

---

### Part II

* [Vectors](ch_07_Vectors.qmd)
* [Vector Calculus](ch_09_Vector_Calculus.qmd)
* [Orthogonal Functions and Fourier Series](ch_12_Orthogonal_Functions_and_Fourier_Series.qmd)
* [Parabolic Partial Differential Equations](ch_x1_Parabolic_PDEs.qmd)
* [Hyperbolic Partial Differential Equations](ch_x2_Hyperbolic_PDEs.qmd)
* [Elliptic Partial Differential Equations](ch_x3_Elliptic_PDEs.qmd)

---

![](qrcode_seoultechpse.github.io.png){width=150px}

### Scientific Computing in Python

* [Numpy: Vectors, Matrices, and Multidimensional Arrays](x_numpy_vectors_matrices_and_multidimensional_arrays.qmd)
* [Sympy: Symbolic Computing](x_sympy_symbolic_computing.qmd)
* [Sympy: Laplace Transform](x_sympy_Laplace_transform.qmd)
* [Equation Solving](x_equation_solving.qmd)
* [Optimization](x_optimization.qmd)
* [Interpolation](x_interpolation.qmd)
* [Integration](x_integration.qmd)
* [Ordinary Differential Equations](x_ordinary_differential_equations.qmd)
* [Double Pendulum](x_double_pendulum.qmd)
* [Partial Differential Equations - Dedalus](x_PDE_dedalus.qmd)
* [Partial Differential Equations - FEniCS](x_PDE_FEniCS.qmd)

---

### Ploting and Data Analysis in Python

* [Matplotlib](x_matplotlib.qmd)
* [Mandelbrot Set in Python](x_Mandelbrot_set.qmd)
* [Hydrogen Atomic Orbitals](x_hydrogen_orbital.qmd)
<!-- * [Pandas](x_pandas.qmd) -->

---

## References {.unnumbered}

* D.G. Zill and W.S. Wright, **Advanced Engineering Mathematics**, *7^th^ ed.*, Jones and Bartlett, 2022.
* E.A. Coddington, **An Introduction to Ordinary Differential Equations**, Prentice-Hall, 1961. (Dover Publications Inc., 1989 - Unabridged, corrected republication).
* G.E. Shilov, **Linear Algebra**, Prentice-Hall, 1971. (Dover Publications Inc., 1977 - Unabridged republication)
* S.J. Farlow, **Partial Differential Equations for Scientists and Engineers**, John Wiely & Sons, 1982. (Dover Publications Inc., 1993 -- Unabridged, corrected republication).
* H.F. Weinberger, **A First Course in Partial Differential Equations with Complex Variables and Transform Methods**, Blaisdell Publishing Company, 1965. (Dover Publications Inc., 1995 - New edition).
* R. Johansson, **Numerical Python: Scientific Computing and Data Science Applications with Numpy, Scipy and Matplotlib**, *2^nd^ ed.*, Apress, 2018.
* Jørgen S. Dokken, **The FEniCSx tutorial**, [https://jsdokken.com/dolfinx-tutorial/](https://jsdokken.com/dolfinx-tutorial/)
* Dedalus Project, **Tutorial & Examples**, [https://dedalus-project.readthedocs.io/en/latest/pages/tutorials.html](https://dedalus-project.readthedocs.io/en/latest/pages/tutorials.html)