2. Complex Numbers and Difference Equations

Learning Objectives:

After completing this chapter you should be able to:

• Simplify algebraic expressions for complex variables and find the corresponding real and imaginary components;

• Understand the definition of difference equation;

• Distinguish different types of difference equations, telling their

  • Order,

  • Linearity (linear or nonlinear),

  • Homogeneity (homogeneous or non-homogeneous);

• Find the general solution to a homogeneous linear difference equation.

• 2.1. Complex Numbers
• 2.2. Sequences
• 2.3. Difference Equations
• 2.4. Homogeneous Linear Difference Equations with Constant Coefficients
• 2.5. Chapter 2 Exercises