離散數學與演算法 (Python, JavaScript)

via Udemy

Go to Course: https://www.udemy.com/course/discrete-math-with-python-and-javascript/

Introduction

Certainly! Here's a comprehensive review and recommendation of the course based on the provided details: --- **Course Review: Mastering Discrete Mathematics for Coding Interviews and Computer Science** This nearly 30-hour course is an essential foundational program aimed at preparing students for coding interviews and deepening their understanding of core computer science concepts. Designed for students majoring in computer science, information engineering, or data management, it addresses the crucial role of discrete mathematics in modern technology advancements. **Course Content & Topics** The course covers a broad range of topics including logic, proofs, recursive relations, algorithms, number theory, cryptography, graph theory, probability, combinatorics, and more. It emphasizes both theoretical understanding and practical implementation, with exercises using Python or JavaScript, catering to students who wish to enhance their coding skills alongside theoretical knowledge. Key concepts taught include: - Deriving logic and verifying program correctness - Mathematical proofs and algorithms in data science - Recursive algorithms and sequences - Implementation of classical algorithms such as Euclidean Algorithm, Euler's Totient, Tower of Hanoi, Fibonacci series, and Least Common Multiple - Fundamentals of number theory and set theory essential for prime number analysis and cryptography - Graph theory and algorithms like Floyd-Warshall, Dijkstra's, DFS, and BFS - Permutation, combination, and probability calculations - Algorithm analysis and performance assessment **Review & Impressions** This course offers a detailed, beginner-friendly exploration of discrete mathematics, making complex concepts accessible through clear explanations and practical coding exercises. The inclusion of two programming language options (Python and JavaScript) makes it versatile and appealing to a broad audience. The curriculum is well-suited for students preparing for technical interviews, as it covers many of the algorithms and mathematical concepts frequently tested in coding challenges. Additionally, it lays a solid groundwork for students aiming to specialize in algorithms, cryptography, or data science. **Recommendation** I highly recommend this course to any aspiring software engineer, computer science student, or coding interview candidate. Its comprehensive scope ensures a strong mathematical foundation that not only prepares you for interviews but also enhances your overall problem-solving and critical thinking skills in programming. Whether you're just starting out or looking to solidify your understanding of discrete mathematics, this course is a valuable investment. The practical coding exercises using Python or JavaScript will also enable you to directly apply what you learn, making the knowledge stick and preparing you for real-world applications and technical interviews. --- **Overall: A Strong, Practical, and Well-Structured Course for Computer Science Enthusiasts** If you're serious about excelling in coding interviews or deepening your understanding of core algorithms and mathematical foundations, this course is definitely worth your time.

Overview

接近30小時的面試必準備內容,是coding考試以及面試前的必學課程!!世界上所有電腦科學、資訊工程、資料管理主修的學生,都在學習電腦科學!隨著電腦科學的飛速發展,離散數學的重要性則日益彰顯。它為許多資訊學課程提供了數學基礎,包括資料結構、演算法、資料庫理論、形式語言與作業系統等。如果沒有離散數學的相關數學基礎,學生在學習上述課程中,便會遇到較多的困難。離散數學包含邏輯、證明、遞迴關係、演算法、數論與密碼學、演算法分析、圖形理論、路徑選擇、機率、排列組合、以及其他重要的程式開發演算法! 這堂課會深入淺出探討這些概念,並且用 Python 或JavaScript (二擇一) 來做演算法練習!在學習這堂課之後,你將能夠:1. 學會推導邏輯與驗證程式碼邏輯正確性。2. 用邏輯來證明數學理論,做為資料科學的的重要演算法基礎。3. 了解遞迴演算法與遞迴數列關係,準備好你自己回答Coding Interview面試中的問題。4. 能夠用程式碼表現出「歐幾里得演算法」、「歐拉函數」、「河內塔問題」、「最小公倍數演算法」、「斐波那契數列」、「線性遞迴關係式」、還有其他重要的演算法!5. 學習數論與集合理論,作為學習質數與密碼學的重要演算法基礎。6. 學習基本圖形理論,判斷圖形資料結構。7. 學會圖形演算法,例如「Floyd-Warshall 演算法 (Dynamic Programming)」、「Dijkstra's Algorithm」、「Depth First Traversal」、「Breadth First Traversal」。8. 計算離散架構中的排列組合,並了解機率計算方法。9. 能夠判斷與分析不同的演算法。10. 用 Python 或 JavaScript 來實現離散數學的演算法與架構!

Skills

Reviews