Table of Contents The Reality Check: Patterns Aren’t Magic Solutions Understanding Programming Patterns The Two-Step Approach to Problem Solving 1. Developing a Problem-Solving Strategy 2. Mastering Common Patterns Introducing the Frequency Counter Pattern What is the Frequency Counter Pattern? Real-World…
Table of Contents The 5-Step Problem Solving Framework Step 1: Understand the Problem Completely Step 2: Explore Concrete Examples Step 3: Break Down the Problem Step 4: Solve the Problem (Start Simple) Step 5: Look Back and Refactor Applying This…
Table of Contents What Exactly Is an Algorithm? Why Problem-Solving Skills Matter The 5-Step Problem-Solving Framework Step 1: Understand the Problem Step 2: Explore Concrete Examples Step 3: Break It Down Step 4: Solve or Simplify Step 5: Look Back…
Table of Contents What Makes Arrays Special? When Should You Use Arrays? Array Access: Lightning Fast Performance The Truth About Array Access Why Is This Possible? The Performance Cost of Order: Insertion and Removal Adding to the End: The Sweet…
Table of Contents What We’ll Cover JavaScript Objects: The Speed Champions Understanding Object Structure Why Objects Are So Fast Object Performance Breakdown 1. Insertion: O(1) – Constant Time 2. Access: O(1) – Constant Time 3. Removal: O(1) – Constant Time…
Table of Contents Why Should You Care About Logarithms? What Exactly Is a Logarithm? The Basic Relationship Common Logarithm Bases Binary Logarithm (Base 2) Base 10 Logarithm Natural Logarithm (Base e) The Big O Simplification Visualizing Growth Rates Real-World Example:…
Table of Contents What is Space Complexity? Auxiliary Space Complexity vs Total Space Complexity Memory Usage Rules for Different Data Types Primitive Data Types (Constant Space – O(1)) Strings (Linear Space – O(n)) Arrays and Objects (Linear Space – O(n))…
Table of Contents What is Big O Notation? The Formal Definition (Don’t Panic!) Understanding Different Big O Categories 1. O(1) – Constant Time 2. O(size) – Linear Time 3. O(size²) – Quadratic Time Big O Focuses on Worst-Case Scenarios The…
Table of Contents The Problem with Measuring Time The Solution: Counting Operations What Counts as an Operation? Example 1: The Direct Formula Approach Example 2: The Loop Approach Comparing the Two Approaches The Big Picture: Why Exact Counts Don’t Matter…
Table of Contents The Problem: Finding the Sum of Consecutive Numbers Solution 1: The Iterative Approach Solution 2: The Mathematical Formula Approach Comparing Performance: Which is Better? Different Measures of “Better” Testing Execution Speed The Problem with Timing Understanding the…
