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COURSE PROCEDURE FOR MATH AND PHYSICS FOR GAME DEVELOPMENT

COURSE PROCEDURE FOR MATH AND PHYSICS FOR GAME DEVELOPMENT

UNIT 1: Numbers

Outcomes: Upon completion of the unit, the student will have an understanding of how numbers can be
worked
with in different bases.

A B C D F N Specific Competencies
Demonstrate the ability to:
            Write numbers in different bases .
            Understand how computers represent numbers.
 
UNIT 2: Arithmetic
Outcomes: Upon completion of the unit, the student will understand how to work with fractions,
proportions, ratios , percentages, exponentials, and logarithms.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with fractions and remainders .
            Work with proportions, ratios, and percentages.
            Work with exponentials .
            Work with logarithms .
 
UNIT 3: Algebra
Outcomes: Upon completion of the unit, the student will be able to solve algebraic problems related to
game development.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work basic algebra problems including functions, equations, formulas and
inequalities.
            Factorization and solving quadratic equations .
            Solving cubic equations.
            Solving simultaneous equations by substitution and elimination .
            Work with functions and graphs.
 
UNIT 4: Trigonometry
Outcomes: Upon completion of the unit, the student will be able to incorporate trigonometric concepts
into game development.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with angles, degrees, area, and radian measure..
            Work with the Pythagorean theorem.
            Work with the trigonometric functions.
            Work with inverse trigonometric functions.
            Work with calculations of triangles including sine/cosine rules, similar triangles,
and the area of a triangle.
            Work with rotations and reflections.
            Apply shading techniques including gradients.
            Apply packaged effects.
 
UNIT 5: Vectors
Outcomes: Upon completion of the unit, the student will be able to work with vector operations and
equations
.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Understand vectors.
            Perform vector operations including arithmetic and the normal vector.
            Work with vector motion.
            Separate vectors into components.
            Work with the dot product .
            Work with vector equations.
            Work with matrices.
 
UNIT 6: Calculus
Outcomes: Upon completion of the unit, the student will be able to incorporate calculus concepts into
game development.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with differentiation and integration.
            Work with differential equations.
 
UNIT 6: Calculus
Outcomes: Upon completion of the unit, the student will be able to incorporate calculus concepts into
game development.
            Work with approximation methods.
 
UNIT 7: Acceleration, Mass, and Energy
Outcomes: Upon completion of the unit, the student will be able to under basic problems in
acceleration, mass, and energy.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with ballistics.
            Work with mass and momentum.
            Work with energy.
 
UNIT 8: Detecting Collisions Between Simple Shapes
Outcomes: Upon completion of the unit, the student will be able to work with problems dealing with
collisions between simple shapes.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with circles colliding.
            Work with squares colliding .
            Work with ovals colliding.
            Work with various shapes colliding.
 
UNIT 9: Resolving Collisions
Outcomes: Upon completion of the unit, the student will be able to resolve collisions in game
development.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Resolve a single collision.
            Handle multiple collisions.
 
UNIT 10: Detecting Collisions Between Complex Shapes
Outcomes: Upon completion of the unit, the student will be able to work problems detecting collisions
between complex shapes.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Understand the problems of complex shapes.
             
            Work with various collisions between complex shapes.
 
UNIT 11: Force and Newton’s Laws
Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with
force and Newton’s Laws.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with force.
            Work with gravity.
            Work with rockets and satellites.
 
UNIT 12: Angular Motion
Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with
angular motion.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with levers.
            Work with spin.
            Work with Spinning Collisions.
 
UNIT 13: Friction
Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with
friction.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Understand how friction works.
            Work with friction and angular motions.
 
UNIT 14: Strings, Pulleys, and Conveyor Belts
Outcomes: Upon completion of the unit, the student will be able to work basic problems dealing with
strings, pulleys, and conveyor belts.
A B C D F N Specific Competencies
Demonstrate the ability to:
            Work with strings.
             
            Work with pulleys.
            Work with continuous momentum.
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