特別要求:星期日全日,星期一五點後,
能教以下:
1.Basic arithmetic for complex number;
Complex plane; De Moivre's Theorem.
2.Complex exponential functions, Geometric representation; n-th roots; locus.
3. Partial Differentiation, Second order Partial Derivative, Chain Rule.
4. Optimization of Functions of two variables; Total differential.
5.Gradient; Lagrange multiplier,
Constrained Optimization.
6. Implicit differentiation; Taylor Series
7.First order differential equation; separable
type; homogeneous; exact; linear.
8.Second order differential equation, method of undetermined coefficients and variation of parameters.
9. Laplace transformation, Inverse Laplace transformation.
10. Properties of Laplace transformation; Convolution theorem.
11.Eigenvalues and eigenvectors;
System of differential equations.
12.Vector spaces.
13.Inner product spaces;Orthogonality.