Midterm Exam 1 Review: Recursion, Iteration, and Order of Growth

• Raising to a Power (Exponentiation)
• Recursive Approach
• Trace of Recursive power
• An Inductive Proof of the Correctness of power
• Linear Recursion
• Iterative Approach
• Accumulating Partial Products
• Iterative Procedure for power
• Trace of Iterative power
• Linear Iteration
• Recursion vs. Iteration
• Linear Recursion vs. Linear Iteration
• Using Tree Recursion
• Tree Recursive Procedure for power
• Trace of Tree Recursive power
• Tree Recursion Efficiency
• Tree Recursion Efficiency (cont'd)
• Comparison Table
• Tree Iteration?
• Logarithmic Recursion
• From Tree to Single Branch
• Trace of Logarithmic Recursive power
• Comparison Table
• Logarithmic Iteration
• Trace of Logarithmic Iterative power-product
• Comparison Table
• Exercise 4.6, p. 98