Summary of Math for Game Devs [class of 2022, part 1]

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00:00:00 - 01:00:00

This video is about how to use math for game development. The presenter introduces the class of 2022 and explains how the class will focus on linear algebra and trigonometry in the first week, and calculus in the second week. They also discuss how mathematics is used in game development and provide a cheat sheet of useful math functions.

00:00:00 This 1-minute video introduces Freya Homer, a game developer who is here to teach her class of 2022 about math concepts that will help them code games. She emphasizes the importance of game development, saying that it is a way to contextualize and use math concepts in a practical way. She also explains her projects, including a Shader Editor and a Unity plugin that helps with vector graphics.
00:05:00 This YouTube video is about how to use math for game development. The presenter encourages students to ask questions and to focus on learning rather than completing assignments.
00:10:00 The video introduces the class of 2022, which will be studying mathematics for game development. The first week will focus on linear algebra and trigonometry, while the second week will cover concepts such as calculus. The class will also discuss how mathematics is used in game development.
00:15:00 This video introduces the class of 2022 to the basics of math and how it can be applied to game development. The class discusses the usefulness of math in various industries and how this is beneficial to programming.
00:20:00 This video introduces the basics of mathematics, including numbers and basic arithmetic. It then goes on to discuss how numbers can be useful in game development. The instructor provides a five-minute break and five-minute break, and concludes the lecture with a discussion of the second week of the course.
00:25:00 This video teaches math concepts for game developers, including the concept of a number line and how to use integers and decimals to represent positions and distances.
00:30:00 The video discusses rules for working with numbers, such as subtraction and multiplication. It also provides an example of how to calculate the absolute value of a number.
00:35:00 In this video, the presenter explains how the absolute value function can be used to compare distances between numbers, and how the sine function can be used to determine the direction of a value.
00:40:00 This video covers the math behind the sign (positive, negative, or zero) in various contexts. It explains how the sign works and some of its uses.
00:45:00 The presenter talks about how they are going to be teaching math for game developers in 2022, and how the class will have meetings on break and how to schedule lessons. They also mention that some of the lessons will be uploaded to YouTube after the class is finished.
00:50:00 In this video, the presenter gives a short lecture on math for game developers and explains some of the differences between magnitude (how big something is) and square magnitude (how close something is to being a square). She then goes on to say that square magnitude is usually more efficient to calculate, and tells the viewers that she doesn't know of anything like this that is aimed specifically at young game developers.
00:55:00 The video discusses how to join a future game server, and discusses the process of vetting potential players. It also provides a cheat sheet of math functions that may be useful to game developers.

01:00:00 - 02:00:00

In the first part of a two-part series, Math for Game Devs, the instructor goes over some of the challenges that students face when trying to transition from high school to college. He then demonstrates how to use vectors, which are important for game developers, and explains how they can be used to represent positions, directions, and distances.

01:00:00 In this first part of a two-part video, the instructor discusses some of the challenges that students face when trying to transition from high school to college, such as inconsistency with tablet use and difficulty adjusting to new surroundings. He then shows a demonstration of how to use Photoshop on a tablet, demonstrating the inconsistencies in the way the app is used.
01:05:00 In this video, the presenter discusses vectors, which are important for game developers. They discuss how vectors can represent positions in space, directions, relative offsets, and velocity.
01:10:00 In this video, math instructor Tony Robbins goes over the basics of vectors, explaining how to add them together and how they represent locations on a coordinate plane. He also discusses how to create non-euclidean vectors, which can be useful for game development.
01:15:00 In this first video of a two-part series, math for game developers, we learn about vector addition and subtraction. Both operations are straightforward, and vector addition is particularly useful when interpreting complex calculations involving vectors. Subtraction is also similar in principle to adding the negated version of another vector. Finally, we learn how to calculate the position of a vector relative to another vector.
01:20:00 In this video, the presenter discusses the difference between vectors and numbers, and how to use vectors to represent various concepts in game development.
01:25:00 In this video, the presenter explains how to use vectors in math for game developers. Vectors are useful for representing positions, directions, and distances.
01:30:00 This 1-minute video explains how to calculate the length of a vector using the Pythagorean theorem.
01:35:00 The video presents a method for calculating the length of a vector, using magnitude and the absolute value. It also explains the similarity between vectors and numbers, and how to use the Pythagorean theorem for one-dimensional vectors.
01:40:00 In this class, students learn how to find the direction of a vector using the equation: length on the circle equals magnitude of the vectors. They also learn about vectors that have a length of 1, called unit vectors.
01:45:00 In this video, the presenter explains the concept of normalized vectors, which are vectors that have a length of 1. Normalized vectors are very useful for representing directions, and you will often see them in game development.
01:50:00 This video discusses vectors and distance, and explains that distance is measured by two vectors. Length is the length of one vector, while distance requires two vectors.
01:55:00 In this video, Math teacher Bradley demonstrates how to calculate the square root of a number, as well as how the signs of negative numbers can be determined automatically.

02:00:00 - 03:00:00

This video series introduces math concepts that are relevant for game developers. In the first video, the presenter explains how to calculate the square root of a number using vectors. In subsequent videos, he covers topics such as the dot product, scalar projection, and matrix math. These concepts are important for game developers in order to understand how sound and motion work in games, and to be able to calculate distances and angles between objects.

02:00:00 In this video, a future game developer explains how to calculate the square root of a number using vectors.
02:05:00 This video discusses the basics of adding, subtracting, multiplying, and dividing vectors.
02:10:00 The Dot product is a very important operation used to calculate various properties of vectors.
02:15:00 The dot product is a mathematical operation used to calculate the distance between two vectors. It is a scalar product, meaning that it returns a single number rather than a vector. The dot product is useful for two primary purposes: when a vector is normalized and when one vector is drawn over another.
02:20:00 In this video, the mathematician explains the scalar projection, which is used to determine the distance between two points. This projection is also used to determine the position of an object in relation to other objects.
02:25:00 This video is a tutorial on how to use scalar projection to find how far in front or behind an object is. Scalar projection is a mathematical function that takes a vector as input and returns a signed distance between the objects.
02:30:00 In this class, students learn about the mathematics behind sound and motion in games. They also learn how to use the dot product to figure out distance and angles between objects.
02:35:00 In this video, math instructor Ryan Dahl discusses how the dot product can be used to determine the level of loudness of an object's sound. He also demonstrates an example of how this can be done in Unity using a 3D game.
02:40:00 In this video, a Unity instructor demonstrates how to perform math calculations in a game development environment by deleting objects and settings in the Unity editor. The instructor also shows how to use Unity's gizmos draw function to create simple 3D objects.
02:45:00 In this video, the presenter explains how to do math in game development, including normalizing vectors, calculating lengths, and drawing spheres. The presenter also provides a quick and easy way to do these calculations.
02:50:00 This video covers the basics of matrix math for game developers. The presenter shows how to calculate the scalar product between two vectors, and how to use the dot product to determine the direction and magnitude of a projection.
02:55:00 This video introduces Vector projection, which is a way to visualize vector distances between objects. Vector projection is useful for flattening objects against other objects, as well as calculating distances between objects.

03:00:00 - 03:55:00

The presenter in this video provides a tutorial on math for game developers. He discusses how he has developed his skills as a game developer and explains how math has played a role in his development process. He also provides advice for those wanting to learn math for game development and shares a video on how to use math skills in game development.

03:00:00 The first assignment is to create a radial trigger to detect if something is inside or outside of an explosion radius. The second assignment is to create a scene.
03:05:00 In this first part of the course, the student is introduced to the basics of mathematics and Unity game development. The class is then divided into groups to work on a variety of exercises involving raycasting and vector transformations. The last assignment is a vector transformation assignment.
03:10:00 In this video, the class of 2022 discusses how coordinate transformations work. They cover the basics of local to world and world to local transformations, as well as a function to convert between local and world space without using Unity's built-in transformation functions.
03:15:00 The video introduces the class of 2022, which is divided into three groups: those who will be doing the "advanced assignments," those who will be doing "the assignments that I had planned," and those who will be "spoiled." The advanced assignments will require the viewer to solve a complex problem, while the assignments that the presenter had planned will be simple. The presenter then advises the viewers to work on the assignments immediately, and ends the video by advising viewers not to flood the chat with memes.
03:20:00 In this video, the presenter explains how to use the dot product and determinant to determine the direction of a vector.
03:25:00 The video class of 2022 discusses mathematics for game developers, including Square magnitude and vector multiplication. Adam talks about a textbook that he has considered writing but hasn't gotten to yet.
03:30:00 In this video, an engineering student describes how he feels that knowledge of the calculation behind a vector.cross product should come before learning the application. He says that this is an issue that he has faced in his own classes.
03:35:00 The instructor provides a brief overview of math for game developers, and explains that while the course will cover basic sign distance and fields, students will be able to discuss topics of their choosing during the second week of the class.
03:40:00 In this video, the presenter talks about how math is important for game developers. He covers topics such as B splines, by arcs, and quaternions. He also covers how to use these concepts and how to think about rotation and unity. He ends the video by talking about a boy and how to deal with him.
03:45:00 The speaker argues that AI should not create art because it reduces creativity to a product, and that this is a bad future.
03:50:00 The speaker discusses the importance of math skills for game development, provides advice for those wanting to learn math for game development, and shares a video on how to use math skills in game development.
03:55:00 This video is a tutorial on math for game developers. The presenter, who says he is a Class of 2022 graduate, discusses how he has developed his skills as a game developer and explains how math has played a role in his development process. He also discusses how he tries to share his knowledge with other game developers, and provides a pre-rolled link for those who want to watch the next class video.