Chemical Engineering Mathematics (Matematika Teknik Kimia)
Kursus ini memberikan topik dalam matematika teknik kimia dan analisis yang menggunakan metode seperti persamaan diferensial biasa, solusi seri, dan persamaan diferensial parsial.
References:
- Rice, R. G. & Do, D. D. (1995). Applied Mathematics and Modeling for Chemical Engineers. John Wiley & Sons, Inc.
- Constantinides, A. & Mostoufi, N. (1999). Numerical Methods for Chemical Engineers with MATLAB Applications. Prentice Hall.
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Ordinary Differential Equations: First Order Equations
This session includes materials about:
- Exact Solutions
- Equations Composed of Homogeneous Functions
- Bernoulli's Equation
- Riccati's Equation
- Linear Coefficients
- First Order Equations of Second Degree
Ordinary Differential Equations: Second Order Nonlinear Equations
The materials in this session discussed includes:
- Derivative Substitution Method
- Homogeneous Function Method
Ordinary Differential Equations: Linear Equations of Higher Order
The materials in this session discussed includes:
- Undetermined Coefficient Method
- Invers Operator Method
Coupled Simultaneous Ordinary Differential Equations
The materials in this session discussed includes:
- Elimination of Independent Variables
- Elimination of Dependent Variables
Series Solution Methods
The materials in this session discussed includes:
- Introduction to Series Methods
- Properties of Infinite Series
- Method of Frobenius
Solution Techniques for Models Producing Partial Differential Equations (PDEs)
The materials in this session discussed includes:
- Classification and Characteristics of Linear Equations
- Boundary and Inital Conditions
- Combination of Variables Method
- Separation of Variables Method