Calculus & Vector Algebra
Calculus
Functions
Polynomials
Slope
Average - Secant Line
Instantaneous - Tangent Line
Derivatives
Definition
Compute Derivatives of Simple Polynomials
Integrals
Definition
Compute Integral of Simple Polynomials
Understand the relationship between the Derivative and the Integral
Why are the concepts of derivation and integration important in biomechanics?
Concepts for Review
Metric System
Angular Measurements
Degrees
Radians
Trigonometric Functions
sine
cosine
tangent
Law of cosines
Pythagorean Theorem
Vector Algebra
Scalars
Vectors
Vector Notation
Vector Representation
Coordinate Systems
2D
3D
Vector Projections
onto axes of a reference frame
onto another vector
Vector Addition
Parallelogram Law
Triangle Rule
Component Addition
Vector Subtraction
Graphical
By Components (Numerical)
Vector & Scalar Operations
Addition (Subtraction)
Multiplication
Unit Vectors
Meaning
Computation
Revisit Vector Projections
Revisit Vector Notation
Using vectors to represent Body Segments
Vector Operations
Dot or Scalar Product
Physical Meaning
Interpretation
Vector or Cross Product
Physical Meaning
Interpretation
LINKS
Calculus.org
SOS Math
Scalar/Dot Product
Vector Basics
Unit Vectors
Unit Vector
Vector Addition/ Subtraction #1
Vector Addition/ Subtraction #2
Vector Arithmetic
Calculus.net
Vector Projections
Vector Cross Product
Cross Product