包含什麼
5 現場會議
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課堂經歷
In this course, students will be exposed to the language of higher mathematics(Proofs!) and connecting them to the real world by programming these models in Python. This is a great course for students who have math PTSD since it exposes analytical concepts that aren't just brute force, mechanical calculation. We'll be diving into things like graph theory, number theory, probability, and their applications. Think of this as an English class for Math! Day 1: We'll answer questions like what is Math, Applied Math, and Computer Science. We'll set the groundwork for this class by going over-- Logic: Conjunction, Disjunction, Negation, Implications, and Truth Tables. Basic Mathematical Structures: Sets(Intersections, Unions, and Complements) Basic Mathematical Notation. We'll write some small programs that demonstrate De Morgan's Law and solve the Green Eyed, Blue Eyed island problem! Day 2: Proof by Induction -- one of the hardest proof methods We'll go over loops(in programming), an advanced concept called recursion, and go over things like the fibonacci sequence. We'll also start going into Graphs, the four colored map theorem, and other applications like binary search and stable marriage. Day 3: Basic Number Theory and modular arithmetic -- Fizzbuzz edition We'll go over one of the world's most popular coding interview problems, learn about modulus and a little bit of number theory. At the end of this session, your student should have a rough idea of how basic cryptography works and hopefully will have a small demo to show off too! Day 4: Graphs, and Trees -- the bread and butter of Facebook and Google We'll go over basic properties and terminology for these structures and by the end we'll have them coded up using different representations. We'll learn a few basic algorithms to traverse them. Programming wise: we'll learn about object oriented programming with classes! Day 5: Counting, Combinatorics, and Probability Theory. We'll go over these concepts under the guise of common dice and card games. We'll formally prove these concepts and go over the popular Monty Hall problem. At the end of this day, your student will have a programming simulation of dice and Monty Hall!
其他詳情
外部資源
除了 Outschool 教室外,本課程也使用:
教師專業知識和證書
Discrete Math was my first exposure to higher level mathematics!
I think this is the perfect way to get a student who ~doesn't~ like math
and show them the light as to what math actually ~is~.
For more theoretical students, this is a perfect way to apply some
of their math skills!
評論
現場團體小班課程
US$200
用於 5 課程每週5次,共 1 週
75 分鐘
即時視訊會議
年齡: 14-18
3-12 每班學員人數