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This module is the first in a series of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

Table of contents


This module is the first in a series of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

See the Download source code section to download source code files for the modules contained in this collection.

Course description

As of September 2012, the official course description reads: "Presents applications of mathematics and science in game and simulation programming. Includes the utilization of matrix and vector operations, kinematics, and Newtonian principles in games and simulations. Also covers code optimization."

Adherence to the course description

Online resources are provided to the student for each of the topics identified in the above description. The topics merge inthe final module of the collection, which explains an animated simulation of the first-person view of a human cannonball from the point in time that the humancannonball leaves the cannon until the human cannonball lands in the safety net, or fails to land in the safety net. The trajectory and the point of impact are determined by suchfactors as:

  • the acceleration of gravity,
  • the muzzle velocity, and
  • the elevation and azimuth of the aiming mechanism on the cannon.

Course resources

This course does not use a printed textbook. Instead, the primary resources for the course are:

  1. An interactive tutorial by Dr. Bradley P. Kjell titled Vector Math for 3D Computer Graphics . (You can view the tutorial online or you can download a copy of an older version of the tutorial in a zip file here . Extract the contents of the zip file and open the file named index.html in your browser to view the tutorial offline. Be aware, however, that some ofthe chapters in the zip file perform animation using Java applet code that may no longer be supported.) The tutorial is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License .
  2. A sub-collection of physics modules beginning with 2302-0300 Introduction to Physics Component published at cnx.org .
  3. This collection of modules published at cnx.org .
  4. Most of the programming examples in the course will be written in Java/OOP. Therefore, you may need some reference material on Java/OOPprogramming. The collection named Object-Oriented Programming (OOP) with Java at cnx.org contains the course material for three complete Java/OOP programming courses at Austin Community College.The section named ITSE 2321 Object-Oriented Programming (Java) contains the material for the first course. The section named ITSE2317 - Java Programming (Intermediate) contains the material for the second course. The section named INEW 2338 - Advanced Java (Web) contains the material for the third course.
  5. Here are some additional Java/OOP references that you may find useful:
    1. Java Platform Standard Edition 7 Documentation
    2. Java Platform, Standard Edition 7 API Specification
    3. Reading the Javadoc - how to read the API
    4. The Java Tutorials
    5. Simplified Java tutorial

Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
I'm not good at math so would you help me
what is the problem that i will help you to self with?
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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