Comp study guide 1.pdf
Document Details
Uploaded by TemptingGradient
Tags
Full Transcript
Study Guide for Computer Science Exam Exam Format and Content The upcoming exam will consist of multiple-choice questions and short-answer questions. The multiple-choice section will assess your understanding of key terminology and important concepts in computer science. The short- answer section wi...
Study Guide for Computer Science Exam Exam Format and Content The upcoming exam will consist of multiple-choice questions and short-answer questions. The multiple-choice section will assess your understanding of key terminology and important concepts in computer science. The short- answer section will focus on algorithms, including their design, analysis, and implementation. Be sure to review your textbook and class notes thoroughly to prepare for both sections. [This study guide was generated by Chat GPT] Key Terms and Concepts Note: Below are brief summaries of essential terms and concepts. Refer to your course materials for detailed explanations. Fundamental Concepts Algorithm: A step-by-step procedure for solving a problem or performing a task. Computer Science: The study of computers and computational systems, including their theory, design, development, and application. Computing Agent: An entity (human or machine) capable of carrying out algorithmic instructions. Infinite: Without limits or end; often used to describe processes that continue indefinitely. Unambiguous Operation (Primitive): A basic, clearly defined action that can be performed without further clarification. Effectively Computable: A function or problem that can be solved by an algorithm in a finite amount of time. Historical Figures and Innovations Charles Babbage: Designed the first mechanical computer, known as the Analytical Engine. Ada Lovelace: Wrote the first algorithm intended for processing on Babbage's Analytical Engine; considered the first computer programmer. Jacquard Loom: An early machine that used punched cards to automate weaving patterns. Herman Hollerith: Developed a punched card system to process data for the U.S. Census. Alan Turing: Introduced the concept of a universal machine (Turing machine) and laid the groundwork for modern computing. John Von Neumann: Proposed the stored-program concept and contributed to the architecture of modern computers. Von Neumann Architecture: A computer design model that uses a single storage structure to hold both instructions and data. Stored Program Computer: A computer that stores program instructions in its memory, allowing it to modify its own operation. Programming Concepts Natural Language: Human languages used for everyday communication (e.g., English, Spanish). Programming Languages: Formal languages comprising a set of instructions used to produce various kinds of output. Pseudocode: An informal, high-level description of an algorithm using the structural conventions of programming. Iterative: A process that repeats a set of instructions until a certain condition is met. Conditional: Statements that perform different actions based on whether a specified condition is true or false. Sequential: Execution of code in a step-by-step manner, one instruction after another. Variable: A storage location identified by a name that holds data which can be modified during program execution. Algorithm Discovery: The process of finding new algorithms or improving existing ones. Search and Sort Algorithms Sequential Search: Examines each item in a list one by one until the desired item is found. Search: The process of locating a specific item within a data set. Sort: Arranging data in a particular order (e.g., ascending or descending). Selection Sort: A simple sorting algorithm that divides the input list into two parts: a sorted and an unsorted section, and repeatedly selects the smallest (or largest) element from the unsorted section and moves it to the end of the sorted section. Binary Search: An efficient algorithm for finding an item in a sorted list by repeatedly dividing the search interval in half. Intractable: Problems that are so complex that they are practically unsolvable within reasonable time constraints. Algorithm Analysis Correctness: An algorithm's ability to produce the correct output for all valid inputs. Efficiency: How effectively an algorithm uses computational resources, such as time and memory. Big Oh (O): Notation used to describe an algorithm's upper bound of time complexity, representing the worst-case scenario. Benchmarking: Comparing the performance of various algorithms or systems under specific conditions. Algorithm Analysis: The study of the performance characteristics of algorithms. Growth of Algorithms: Refers to how the resource requirements of an algorithm increase with the size of the input. Big Oh Notation and Efficiency Order of Magnitude: A class of scale or magnitude defined by a power of ten. O(1): Constant time complexity; execution time does not change with input size. O(n): Linear time complexity; execution time increases proportionally with input size. O(n²): Quadratic time complexity; execution time increases proportionally to the square of the input size. Linear Growth: Performance scales directly with input size. Exponential Growth: Performance doubles with each additional input element. Quadratic Growth: Performance scales with the square of the input size. Logarithmic Growth: Performance increases logarithmically as input size increases. Constant Growth: Performance remains unchanged regardless of input size. Most Efficient Growth: Generally, algorithms with logarithmic (O(log n)) or linear (O(n)) time complexities are more efficient than those with quadratic or exponential complexities. Simple Pseudocode Examples Sequential Search 1. Start at the first item in the list. 2. Check if this is the item you're looking for. 3. If it is, you're done! 4. If not, move to the next item. 5. Repeat steps 2-4 until you find the item or reach the end of the list. Selection Sort 1. For each position in the list: o Find the smallest unsorted item. o Swap it with the item in the current position. 2. What else? Think about details! Binary Search 1. Start with the middle item of the sorted list. 2. If the middle item is the one you're looking for, stop. 3. If the item you're looking for is smaller, repeat the search on the left half. 4. If it's larger, repeat on the right half. 5. Continue until the item is found or the sublist is empty. Algorithm Efficiencies Efficiency of Selection Sort: O(n²); not suitable for large datasets due to quadratic time complexity. Efficiency of Sequential Search: O(n); performance decreases linearly as the list grows. Efficiency of Binary Search: O(log n); highly efficient for large, sorted datasets. Final Preparation Tips Review Key Concepts: Ensure you understand the fundamental principles and terminology. Practice Algorithms: Write pseudocode for the algorithms listed to solidify your understanding. Understand Big Oh Notation: Be able to explain and calculate the time complexity of basic algorithms. Historical Context: Familiarize yourself with the contributions of key figures in computing history. Apply Concepts: Think about how the terms and algorithms relate to real-world computing problems.