Section 3: Steady State Systems and Algebraic Equations

This section discusses algebraic equations and how they may be solved. It starts of by showing how one single equation may be solved iteratively, and then shows how this may be extended to sets of equations.

• 3.1 General Introduction to Algebraic Equations
• 3.2 Simple Ordered Sets of Equations
• 3.2.1 Example Questions
• 3.2.2 Solutions to Questions
• 3.3 Iterative Solution of Single Algebraic Equations
• 3.3.1 Solving Algebraic Equations
• 3.3.2 Bisection Method
• 3.3.3 Secant Method
• 3.3.4 Newton's Method
• 3.4 Iterative Solution of Several Equations using Single Equation Methods
• 3.5 Iterative Solution of Sets of Equations
• 3.5.1 Systems Reducible to Iteration in a Single Unknown
• 3.5.2 Additional Notes
• 3.5.3 Example Questions
• 3.5.4 Solutions to Questions
• 3.6 Systematic Methods for Sets of Linear Equations
• 3.6.1 Elimination Methods for Linear Equations
• 3.6.2 Example Questions
• 3.6.3 Solutions to Questions

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