
THE NUMBER SYSTEM: RATIONAL AND IRRATIONAL NUMBERS
... 1. I can define constant rate of change as slope. 2. I can subtract each y-value in a table of values by its successive y-value to determine if the differences are the same, to prove a linear function. 3. I can recognize the calculated difference is the constant rate of change. 4. I can apply rules ...
... 1. I can define constant rate of change as slope. 2. I can subtract each y-value in a table of values by its successive y-value to determine if the differences are the same, to prove a linear function. 3. I can recognize the calculated difference is the constant rate of change. 4. I can apply rules ...
Final Exam Review:
... reflections across the x-axis, y-axis, and y=x line. Solving trigonometric equations. Finding exact values and coordinates using trigonometric identities. Simplifying trigonometric expressions using identities. DeMoivre’s Theorem Conic Sections-recognizing type of graph with equation and total numbe ...
... reflections across the x-axis, y-axis, and y=x line. Solving trigonometric equations. Finding exact values and coordinates using trigonometric identities. Simplifying trigonometric expressions using identities. DeMoivre’s Theorem Conic Sections-recognizing type of graph with equation and total numbe ...
AE 3003 Governing Equations (Continued)
... Derivation of the Momentum Equations In this section we will derive the conservation of u-momentum equation, and extend the resulting form to the conservation of v- and w- momentum equations in a straightforward manner. The u- momentum equation is an extension of Newton’s law which states that “the ...
... Derivation of the Momentum Equations In this section we will derive the conservation of u-momentum equation, and extend the resulting form to the conservation of v- and w- momentum equations in a straightforward manner. The u- momentum equation is an extension of Newton’s law which states that “the ...
doc - UCSD Math Department
... and their opposites form a system of numbers called the rational numbers, represented by points on a number line.” In addition they “prove that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines.” It is in grade 7 that ...
... and their opposites form a system of numbers called the rational numbers, represented by points on a number line.” In addition they “prove that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines.” It is in grade 7 that ...
PrincetonPresentation
... Fluid Dynamics • The Madelung transformation allows us to write fluid dynamic-like equations from the nonlinear Schrödinger equation. • Intensity is analogous to density. • Shock speed is intensitydependent; thus, a more intense beam in a defocusing nonlinearity with a plane wave background will di ...
... Fluid Dynamics • The Madelung transformation allows us to write fluid dynamic-like equations from the nonlinear Schrödinger equation. • Intensity is analogous to density. • Shock speed is intensitydependent; thus, a more intense beam in a defocusing nonlinearity with a plane wave background will di ...
Solve
... First, write the value (s) that make the denominator (s) zero. Then solve the equation. ...
... First, write the value (s) that make the denominator (s) zero. Then solve the equation. ...
This assignment is worth 100 points. I will randomly pick seven
... values of sin(x), cos(x), and tan(x) for x = 0, π/6, π/4, π/3, π/2, π and 3π/2 radians, and be able to use these to find values in Quadrants II, III, and IV as well as for evaluating sec, csc, and cot functions. We will work exclusively in radians in calculus. The only trig identity you must memoriz ...
... values of sin(x), cos(x), and tan(x) for x = 0, π/6, π/4, π/3, π/2, π and 3π/2 radians, and be able to use these to find values in Quadrants II, III, and IV as well as for evaluating sec, csc, and cot functions. We will work exclusively in radians in calculus. The only trig identity you must memoriz ...
3.2&3.3
... Graphing in Standard Form • One way to graph from standard form is to transform the equation into slope-intercept form. • A second way to graph in standard form is to find the x-intercept and y-intercept. Plot the two points and draw a line through them. ...
... Graphing in Standard Form • One way to graph from standard form is to transform the equation into slope-intercept form. • A second way to graph in standard form is to find the x-intercept and y-intercept. Plot the two points and draw a line through them. ...
Solving Quadratic Equations Notes Part One
... 2. imaginary number: a number that when squared gives a negative result 3. quadratic equation: an equation where the highest exponent of the variable is a square 4. zeros of a function: also called a root of the function, it is the x value(s) that produce a function value of zero 5. zero product pro ...
... 2. imaginary number: a number that when squared gives a negative result 3. quadratic equation: an equation where the highest exponent of the variable is a square 4. zeros of a function: also called a root of the function, it is the x value(s) that produce a function value of zero 5. zero product pro ...
Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.