在 Roblox Lua 中探索數學：中級

Code example 1:part.CFrame = part.CFrame * CFrame.Angles(0, math.rad(45), 0)
Code example 2: ball.Position = Vector3.new(0, math.abs(math.sin(t)) * 10, 0)
Code example 3: local yHeight = math.sqrt(math.abs(math.cos(t))) * 10

The examples provided above showcase how coding often relies on advanced math. While it's pretty easy to type codes you see above, explaining them is a totally different thing. It is crucial for developers and coders to not just type code but to also understand the math and logic behind it. That's where this course comes in. This course delves into the math and logic behind the code to provide a deeper understanding of how it works.

Welcome to "Exploring Mathematics in Roblox Lua: Intermediate Level," where we will explore how math can be used in Roblox Lua coding. There is a lot of math behind your favorite roblox games. Throughout this course, I'll guide you through a range of topics related to math, including basic operations, variables, functions, and more, all with a focus on how these concepts can be applied in the context of Roblox game development.

Please note: This is a computer programming class, so we will be typing code. The purpose of this course is to better understand how math is relevant to Roblox Lua.

Specific curriculum/coursework: This course has a specific objective, which is to explore the math used in Roblox Lua. No other topics are covered/discussed in this course. This course does not teach students how to use Roblox Studio or how to play or make Roblox games. Animation, building, and similar topics are not taught in this class.

I will guide students through a coding example that requires math. Instead of just typing the code and discussing the code, we will dive deeper into the math behind the code.

On Day 1, we will discuss the fundamentals of algebra, including the basic operations of addition, subtraction, multiplication, and division, as well as the order of operations. We'll then explore how these concepts can be applied in Roblox Lua code, using variables to store and manipulate values and functions to perform complex operations.

Days 2-4 will focus on a project-based example that includes parts that move, such as a ball that is kicked. Each day, we will work through the coding example, taking the time to explore the math behind the code. The class format may vary slightly depending on the number of students enrolled in the session. For example, a session of six students may provide opportunities for students to work in pairs of two. A session with three students may mean that the students all work together or individually.

Breakdown of Days 2-4:

Day 2: Basic physics concepts such as gravity, acceleration, momentum, direction, and speed. We will write code and discuss how these physics concepts pertain to the code we write.

Day 3: Trigonometry: To determine the angle at which the ball should be kicked, we'll need to use trigonometry to calculate the trajectory of the ball. This involves calculating the angle between the player and the ball, as well as the angle at which the ball should be kicked to achieve the desired trajectory. We will write code and discuss how trigonometry pertains to the code we write.

Day 4: Vectors: To represent the movement of the ball and the player's kick, you'll need to use vectors. Vectors are used to represent quantities that have both magnitude and direction, such as velocity and force. You'll need to use vectors to determine the direction and strength of the kick, as well as the direction and speed of the ball's movement after the kick.

Learning beyond live lesson: This class will include supporting material to help students understand these complex topics. This is in the form of videos that will be posted in the outschool classroom.

Students will be encouraged to share their knowledge on the topic and share ideas.

Prerequisites:

A pre-work example will be sent to students upon enrollment to help students prepare for the coursework.

Basic programming knowledge: It is recommended to have a basic understanding of programming concepts such as variables, functions, loops, and conditional statements before taking this course.

Basic algebra skills: Having a good understanding of algebraic concepts such as basic operations (addition, subtraction, multiplication, and division), fractions, exponents, and order of operations can help you better understand the material covered in this course.

Familiarity with Roblox Studio: You should be comfortable using Roblox Studio and understand basic game development concepts such as creating objects, scripting events, and working with the interface.