Beginning Math and Physics for Game Programmers
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scalar multiplication 2nd 3rd 4th 5th equations with matrices (example 5.7) 2nd example 5.6 2nd in Cartesian coordinates (example 4.11) in polar coordinates in polar coordinates (example 4.10) 2nd normalizing vectors 2nd 3rd example 4.12 2nd self-assessment 2nd solutions 2nd scalar product [See dot product] scalar values storing in code 2nd versus vectors 2nd 3rd 4th 5th self-assessment 2nd scaling objects 2nd 3rd 2D differential scale (example 6.6) 2nd 3rd 4th 2D uniform scale (example 6.5) 2nd 3rd 4th 5th 3D differential scale (example 6.8) 2nd 3rd 3D uniform scale (example 6.7) 2nd concatenation 3D scaling with respect to center point (example 6.11) 2nd self-assessment 2nd solutions scientific calculator trigonometric functions on screen points [See also 2D points] distance between (example 2.1) midpoint between (example 2.4) 2nd secant 2nd [See also trigonometric functions] second derivatives 2nd example 9.6 2nd seconds converting weeks to (example 7.3) 2nd self-assessment scaling objects 2nd solutions self-assessments acceleration 2nd 3rd solutions 2nd angles 2nd solutions circles and spheres 2nd solutions collision detection solutions collisions with stationary objects 2nd solutions combo matrices 2nd solutions computer unit conversion solutions conservation of momentum theorem 2nd solutions conversion factors solutions cross product solutions distance between points 2nd 3rd solutions dot product solutions equations of motion solutions forces 2nd 3rd solutions GPE ( gravitational potential energy) and conservation of mechanical energy solutions instantaneous velocity 2nd solutions matrices 2nd 3rd 4th 5th 6th solutions matrix addition and subtraction 2nd 3rd 4th solutions matrix multiplication solutions matrix transpose solutions metric system conversions solutions momentum and impulse 2nd solutions motion with vectors 2nd solutions Newton's laws 2nd 3rd Newton's laws solutions parabolas solutions polar and Cartesian coordinates solutions projectiles 2nd solutions rotating objects 2nd solutions rotational motion 2nd 3rd solutions 2nd scalar multiplication 2nd solutions 2nd translations 2nd solutions trigonometric functions 2nd solutions trigonometric identities 2nd solutions vector addition and subtraction 2nd 3rd solutions vectors versus scalar values 2nd velocity 2nd solutions work and kinetic energy 2nd solutions SF (net force) 2nd 3rd shooting paintballs (example 10.10) 2nd 3rd sine [See also trigonometric functions]2nd [See also arcsine] amplitude of sine wave 2nd 3rd and unit circle defining (example 3.5) 2nd 3rd graphing 2nd compacting sine wave horizontally (example 3.9) 2nd compacting sine wave vertically (example 3.11) 2nd stretching sine wave horizontally (example 3.8) 2nd stretching sine wave vertically (example 3.10) 2nd period of sine wave 2nd 3rd sum and difference identities 2nd example 3.13 example 3.14 size of product (matrix multiplication) 2nd sketching circles example 2.8 2nd 3rd 4th example 2.9 2nd 3rd parabolas example 2.6 2nd 3rd example 2.7 2nd 3rd slope 2nd slope of lines parallel lines perpendicular lines slope-intercept linear equation slopes solution set for system of linear equations solutions to self-assessments acceleration 2nd angles circles and spheres collision detection collisions with stationary objects computer unit conversion concatenation conservation of momentum theorem conversion factors cross product distance between points dot product equations of motion forces GPE (gravitational potential energy) and conservation of mechanical energy instantaneous velocity matrices matrix addition and subtraction matrix multiplication matrix transpose metric system conversions momentum and impulse motion with vectors Newton's laws parabolas polar and Cartesian coordinates projectiles rotating objects rotational motion 2nd scalar multiplication 2nd scaling objects translations trigonometric functions trigonometric identities vector addition and subtraction velocity work and kinetic energy sound waves [See graphing sine and cosine] speed [See also velocity] versus velocity 2nd speed conversion (example 7.5) 2nd sphere-sphere collision detection (example 2.13) 2nd spheres 2nd 3rd [See also circles]4th collision detection 2nd 3rd 4th self-assessment sphere-sphere collision detection (example 2.13) 2nd determining equation of (example 2.11) 2nd 3rd self-assessment 2nd solutions sqrt() function sqrtf() function squishing [See compacting] static friction 2nd 3rd stationary objects collisions with 2nd 3rd 4th axis-aligned vector reflection (example 13.1) 2nd non-axis-aligned vector reflection 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th 14th self-assessment 2nd 3rd stretching fundamental period sine wave horizontally (example 3.8) 2nd sine wave vertically (example 3.10) 2nd subtraction of matrices 2nd 3rd 4th 5th example 5.5 2nd 3rd self-assessment 2nd 3rd 4th solutions subtraction of vectors numerical subtraction in 3D 2nd 3rd self-assessment 2nd 3rd solutions sum identities for cosine 2nd example 3.15 sum identities for sine 2nd example 3.13 surface normal example 4.16 2nd symbols in formulas symmetry (parabolas) [See axis of symmetry (parabolas)] system of linear equations
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