Game Math and Physics Basics in 2D

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8:09:12

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1. 2D coordinate and vector concepts

1. Displacementsdistances along x.mp4

07:22

2. Displacementsdistances along y.mp4

03:08

3. Unit vectors along each axis in 2D space.mp4

03:47

4. Relative positions along coordinate axes.mp4

03:47

5. World space vs. object space, part 1.mp4

06:15

6.1 blueshiptilted.zip

6. World space vs. object space, part 2.mp4

04:49

7. Vector components in mathematical form.mp4

12:00

8. Vector components in unity, 2 objects.mp4

06:12

9. Displacements for tilted objects.mp4

03:20

10. Displacements and scenes translations.mp4

05:06

11. Z axis basics with physical model.mp4

05:07

12. Effect of rotation on one object.mp4

06:25

13. Vectorsvector components under rotations.mp4

08:25

14. Vector components in unity, 3 objects.mp4

07:30

15. Difference between distance and displacement vector length.mp4

08:27

16. 0 magnitude displacements vs big distances.mp4

05:58

17. Distance at tiny scales.mp4

08:58

18. Angle basics in unity.mp4

09:51

19. Magnitude and angle of displacement on unit circle.mp4

09:57

20. Vectors from unit vectors.mp4

11:23

21. Components from angles and length.mp4

07:44

22. Unit vectors from math.mp4

07:15

23. Vector addition for displacements, graphical rules.mp4

07:39

24. Vector addition math.mp4

09:07

25. Graphical vector subtraction.mp4

08:00

26. Mathematical vector subtraction.mp4

07:43

27. Midpoint of a segment.mp4

05:25

28. Centroids of point distributions.mp4

06:52

29. Weighted average, basic demo.mp4

02:25

30. Weighted average, multiple objects, unity.mp4

09:18

31. Simulation of coordinate translations, horizontal and vertical line segments.mp4

04:56

32. Diagonal translations on coordinates.mp4

04:06

33. 2D balance point, physical model.mp4

04:40

34. Rotations and translations.mp4

06:25

35. Constant speed in 2D, line segments.mp4

06:28

36. Square roots in more detail.mp4

03:01

37. Constant speed, diagonal movements.mp4

05:44

38. Constant velocity in 2D, horizontal and vertical.mp4

07:58

39. Constant velocity, slanted segments.mp4

06:41

40. Speed vs. velocity for line motions.mp4

04:52

41. 0 velocity.mp4

02:29

42. Average concepts.mp4

06:32

43. Average speed in 2D, horizonital segments.mp4

05:12

44. Average speed, slanted segments.mp4

05:19

45. Average velocity in 2D, horizontal segments.mp4

05:26

46. Calculations involving speed and velocity.mp4

04:38

47. Average velocity for slanted movements.mp4

07:05

48. Displacement vector from given velocity.mp4

02:25

49. Desired velocity from object to object.mp4

06:24

50. Constant acceleration changing speed.mp4

06:30

51. Visualizing acceleration.mp4

07:04

52. Average acceleration.mp4

03:31

53. Constant acceleration changing velocity.mp4

03:06

54. Visualize acceleration.mp4

06:58

55. Position vector.mp4

07:28

56. Final velocity vector.mp4

03:41

57. Basic vertical acceleration.mp4

05:21

58. Physical introduction to forces.mp4

05:38

59. Cancelling horizontalvertical forces.mp4

05:33

60. Cancelling slanted forces.mp4

05:30

61. Cancelling four forces graphically.mp4

04:51

62. Unbalanced forces.mp4

07:49

63. Summation notation applied to forces.mp4

04:00

64. Finding a missing vector graphically.mp4

06:01

65. Finding a missing force mathematically.mp4

03:50

66. Finding a force in a given direction.mp4

05:27

67. Force equals mass times acceleration.mp4

07:35

68. Velocity from force.mp4

11:37

69. Position vector from initial position, velocity and acceleration.mp4

14:06

70. Projectile motion summary.mp4

05:47

71. Projectile motion specific example.mp4

04:02

72. Decomposing projectile motion into individual functions.mp4

04:29

73. Understanding x(t).mp4

05:28

74. Understanding y(t).mp4

07:44

2. Other Ideas

1. Dot product basics.mp4

07:11

2. Scalar projections with dot products.mp4

05:58

3. Projecting velocity components with dot products along x and y axes.mp4

06:19

4. Projecting velocity components along slanted vectors.mp4

07:02

5. Course Summary.html

Description

Learn Useful Computer Game Math

What You'll Learn?

describe unit vectors
describe vectors in general
describe scalars
describe distance
describe speed
describe velocity
understand coordinate transformations
describe world space
describe object space
describe forces
describe acceleration
describe displacement
describe the z axis in unity vividly
describe rotations
work with square roots as needed
describe vector components
describe magnitudes
describe motion on a circle
understand angles
add vectors
subtract vectors
multiple vectors by scalars
find unit vectors
find vectors of a desired magnitude and direction
understand weighted averages
describe average speed
describe average velocity
and many others!

Who is this for?

This is a course for those are interested in understanding the mathematics of 2D game development.

This is a course for those who are interested in understanding the basic physics of 2D game development.

What You Need to Know?

It's helpful to have the latest version of the Unity installed.

You should already know how to work with signed numbers.

You should already have seen the concept of a two dimensional coordinate space.

More details

Description
1. Friends, please take the time to review the curriculum carefully before buying so you can see exactly whether this is the right course for you. Please do not join until you have completed this step.
2. Please watch the free preview videos so you can see whether the presentation style works for you. Please rememberÂ IÂ am just one person, and IÂ make my videos often after IÂ have been working for many hours already.Â Please do not join until you have completed this step.
3. If something needs fixing, please let me know. Again, I'm just one person and not a big team of people. IÂ will try to fix it as quickly as possible. Thank you.

Course Overview:Â
1. This course is for those who already know how to make a simple 2D project in unity. I'm assuming you can figure out how to do this. Please remember, however, that using Unity is NOT the main objective of this course.
2. This course focuses only on two dimensional math and physics concepts related to game programming.
3. In some of the videos you see how to use unity.
4. In some of the videos IÂ use physical demonstrations to illustrate mathematical concepts related to game development.
5. In some of the videos IÂ write by hand on paper because this is faster than writing on the computer screen.
6. You should be mentally prepared to work with square roots, vectors and units of various kinds like m/s and m/s^2 and kg.
7. IÂ draw a lot in this course to illustrate various vector concepts. In other words, IÂ use a variety of teaching methods.
8. There are a variety of exercises placed throughout the videos. Please try to complete every exercise. Practice, of the right kind, counts!:)
9. These videos focus primarily on understanding the concepts of vectors, distances, angles, transformations, speeds, velocities, accelerations, forces, and related concepts.
10. You should already be able to solve basic linear equations like 2+4+x=10Â and you should understand how to compare numbers with ratios, as in 10kg/2kg. I do, however, still explain these too.
11. Please be sure to read the curriculum with meticulous care before enrolling so you can be sure this is truly the right course for you.
12. If you are already a great physics/math expert, please do not join this course. It will not help you.
13. For the hearing-impaired, closed-captions are added automatically. IÂ do not have control over those, so they might not be perfect.
14. Thank you for reading, and see you inside!

Who this course is for:
This is a course for those are interested in understanding the mathematics of 2D game development.
This is a course for those who are interested in understanding the basic physics of 2D game development.

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Instructor's Courses

I love computers , math and programming. I teach because it gives me great joy to understand things deeply and to share that knowledge with others.My education: 1. Master's degree in Statistical Computing2. BA in mathematics3. Professional development certificates from Microsoft in each area below: 1. Deep learning with Python 2. Introduction to Artificial intelligence 3. Data science with Python 4. Math for machine learning 5. Data science research methods with Python 4. Professional certificates from other schools: 1. Columbia university certificate in introduction to corporate finance 2. MIT certificate in introductory economics

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