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  • A General Materials and Mathematics
    • A1 Basic Materials and Measurement
    • A2 Mathematics
  • B Statics
    • B1 Center of Mass Statics
    • B2 Equilibrium of Forces and Torques
    • B3 Simple Machines
    • B4 Elasticity
  • C Kinematics and Dynamics
    • C1 Center of Mass Motion
    • C2 Kinematics in One and Two Dimensions
    • C3 First Law of Motion
    • C4 Second Law of Motion
    • C5 Third Law of Motion
    • C6 Friction
    • C7 Collisions
    • C8 Mechanical Energy and Power
  • D Rotational Mechanics
    • D1 Rotational Kinematics and Dynamics
    • D2 Moment of Inertia
    • D3 Angular Momentum
    • D4 Gyroscopes
    • D5 Rotational Esoterica
  • E Gravitation and Astronomy
    • E1 Gravitation and Orbits
    • E2 Astronomy
  • F Fluid Mechanics
    • F1 Pressure in Static Fluids
    • F2 Buoyancy
    • F3 Surface Tension
    • F4 Fluid in Motion
    • F5 Forces in Moving Fluids
  • G Vibrations and Mechanical Waves
    • G1 Simple Harmonic Motion
    • G2 Resonance and Coupled Oscillations
    • G3 Mechanical Waves - One Dimensional
    • G4 Mechanical Waves - Two Dimensional
  • H Sound
    • H1 Nature of Sound
    • H2 Wave Properties of Sound
    • H3 Standing Sound Waves
    • H4 Music
    • H5 The Ear
    • H6 The Voice
  • I Thermodynamics
    • I1 Thermal Properties of Matter
    • I2 Transfer of Heat
    • I3 Gases
    • I4 Changes of State
    • I5 Laws of Thermodynamics
    • I6 Kinetic Theory and Statistical Mechanics
    • I7 Solid State and Low Temperature Physics
  • J Electostatics and Magnetostatics
    • J1 Electrostatic Charge and Force
    • J2 Electrostatic Devices and Applications
    • J3 Electric FIelds and Potential
    • J4 Capacitance and Polarization
    • J5 Magnetostatics
    • J6 Electromagnets
    • J7 Magnetic Materials
  • K Electromagnetic Principles
    • K1 Forces on Moving Charges
    • K2 Electromagnetic Induction
    • K3 Transformers
    • K4 Motors and Generators
    • K5 Electrical Properties of Matter
    • K6 Electric Circuits and Instruments
    • K7 RLC Circuits
    • K8 Electromagnetic Waves and Sources
  • L Geometrical Optics
    • L1 Light Sources and Light Rays
    • L2 Plane Mirrors
    • L3 Curved Mirrors
    • L4 Refraction
    • L5 Total Internal Reflection
    • L6 Lenses
    • L7 Optical Instruments
  • M Wave Optics
    • M1 Interference and Diffraction - Slits and Gratings
    • M2 Diffraction - Circular
    • M3 Interferometers
    • M4 Thin Film Interference
    • M5 Interference and Diffraction Esoterica
    • M6 Holograms
    • M7 Linear Polarization and Scattering
    • M8 Optical Activity and Birefringence
    • M9 Circular Polarization
  • N Spectra and Color
    • N1 Continuous Spectra
    • N2 Line Spectra
    • N3 Color
  • O Vision
    • O1 Image Production
    • O2 Visual Latency
    • O3 Color Vision
    • O4 Optical Illusions
  • P Modern Physics
    • P1 Relativity
    • P2 Quantum Mechanics
    • P3 Atoms and Molecules
    • P4 Nuclei and Particles
  • Q Biophysics
    • Q1 Musculoskeletal Systems
    • Q2 Organs
    • Q3 Genetics and Molecular Biology

A2 Mathematics

This section includes illustrations of basic mathematical concepts and principles, primarily as they apply to the physical sciences.

Articles
Image Title
A2-01: CARTESIAN COORDINATE AXES
Illustrate a standard right-handed cartesian coordinate system
A2-02: XYZ AXES ON EXTENDED HANDLE
Aid in discussing angular momentum
A2-11: CIRCUMFERENCE VS. DIAMETER - CHAIN ON CYLINDER
Show the relationship between the diameter and the circumference of a circle
A2-12: SLATED SPHERE
Demonstrate rotation and spherical geometry
A2-13: ELLIPSE DRAWING BOARD
Demonstrate one method of drawing ellipses
A2-14: DISSECTIBLE CONE
Illustration of the conic sections
A2-15: HYPERBOLOID FROM STRAIGHT LINES
Approximate the hyperboloid
A2-16: SADDLE POINT MODEL
Illustrate the geometry of a saddle point
A2-17: CLOSED CURVES AND CAPPING SURFACES
Illustrate various complicated closed curves
A2-21: MAGNETIC VECTOR BOARD
Demonstrate properties of vectors
A2-22: MAGNETIC VECTORS - LECTURE HALL BLACKBOARDS
Demonstration of vector properties
A2-23: VECTOR PRODUCT
Illustrate the product of two vectors
A2-24: TWO-DIMENSIONAL VECTOR ALGEBRA
Illustrate aspects of vector algebra
A2-32: HEIGHT MEASUREMENT BY TRIGONOMETRY
Determine the height of a student using trigonometry
A2-33: DIRECTION COSINES MODEL
Aid in perception of the components of a three-dimensional vector
A2-51: PROBABILITY BOARD - PROJECTION
To demonstrate the Gaussian distribution

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