°øÇмöÇÐ 1 (Engineering Math 1)
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Engineering Mathematics 1 introduces basic and advanced mathematics used in engineering. The aim of the course is to develop awareness and appreciation of the role of mathematics in engineering. This course deals with mathematical principles, methods, and modeling.
What to cover
Introduction
First Order Ordinary Differential Equations (ODEs)
- Separable Differential Equations
- Exact Differential Equations
- Linear Differential Equations
Second Order Linear ODEs
- Homogeneous Equations
- Nonhomogeneous Equations
- Modeling
Systems of ODEs/Phase Plane/Qualitative Methods
- Vectors, Matrices, Eigenvalues
- Phase Plane, Critical Points
- Stability
Series Solutions of ODEs
- Power Series and Frobenius Methods
- Legendre and Bessel Equations
Laplace Transforms
¢º Linear Algebra
¢º Fourier Series and Transform
¢º Complex Variables
Reference
Erwin Kreyszig, Advanced Engineering Mathematics(10th Ed.), John Wiley & Sons, 2011
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