List of all pages
- Solving pure time differential equations through integration
- Slides: Solving pure time differential equations through integration
- Quadric surfaces
Surfaces that are the graphs of quadratic equations. - The quotient rule for differentiation
The quotient rule is derived from the product rule for differentiation. - A refresher on the quotient rule
How to compute the derivative of a quotient. - Random networks
We can view a random network as a member of an ensemble of networks determined by a probability distribution. - Definition: Random variable definition
A random variable is a variable that is subject to random variations so that it can take on multiple different values, each with an associated probability. - Definition: Sample definition
A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample. - Definition: Range definition
The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs. - Definition: Recurrence relation definition
A recurrence relation is an equation that defines a sequence based on a rule that gives the next term as a function of the previous term(s). - Redundant parameters in the exponential function
Calculation showing that in the exponential function, changing either the base or a constant in the exponent have the same effect on the function. - Related rates
Calculating one derivative in terms of another derivative. - Definition: Relation definition
A relation between two sets is a collection of ordered pairs containing one object from each set. - The relationship between determinants and area or volume
The properties of the cross product and the scalar triple product give links between determinants and area or volume. - Riemann sums and the definite integral
- Slides: Riemann sums and the definite integral
- The right hand rule for determining orientations in three dimensions
- Definition: Scalar definition
A scalar is a real number. - The scalar triple product
Definition of the scalar triple product and derivation of its formula. Include interactive graphic to illustrate its properties. - Scalar triple product example
Example showing how to calculate the scalar triple product.
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