differential equations 42 videos

Motion Along a Line
Precalculus Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=0.
velocity constant velocity position vector equation of a line parametric equations parametric equations of a line 
Solving Linear Systems Using Matrix Algebra
Precalculus Systems of Linear Equations and Matrices
How to convert a system of linear equations into a matrix equation and solve it.
matrices square matrices matrix equation coefficient matrix inverse matrix identity matrix matrix multiplication 
Vectors and Planes
Precalculus Vectors and Parametric Equations
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
normal vector position vector perpendicular vectors planes the equation of a plane 
Converting from Polar Coordinates to Rectangular
Precalculus Polar Coordinates and Complex Numbers
How to convert a polar equation into rectangular form.
polar coordinates rectangular coordinates polar equations lines circles Pythagorean theorem sine cosine tangent 
Families of Polar Curves: Conic Sections
Precalculus Polar Coordinates and Complex Numbers
How to describe the polar equations of conic sections.
polar graph polar equation polar curve conic sections focus origin pole parabola symmetric about the x axis parabola vertex 
Parametrizing a Circle
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counterclockwise.
the unit circle cosine sine parametrization parametric equations circle counter clockwise 
Cramer's Rule
Precalculus Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.
systems of linear equations Cramer's rule determinant coefficient matrix 
Symmetry of Polar Graphs
Precalculus Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the xaxis.
polar graph polar equation symmetry reflection x axis symmetric about the x axis 
Find an Equation for the Sine or Cosine Wave
Precalculus Trigonometric Functions
How to identify the graph of a stretched cosine curve.
sine cosine period amplitude intercepts turning points 
Applied Linear Equations: Mixture Problem
Precalculus Linear Equations and Inequalities
How to solve a mixture problem when the size difference between the two containers is known.
word problem mixture 
Applied Linear Equations: Investment Problem
Precalculus Linear Equations and Inequalities
How to solve an interest problem when given the total amount deposited.
word problem investment interest 
Applied Linear Equations: Tax Problem
Precalculus Linear Equations and Inequalities
How to solve a word problem about finding the tax on a purchase.
word problem tax 
Applied Linear Equations: Distance Problem
Precalculus Linear Equations and Inequalities
How to find the speed of transit when the time of two different legs is known.
distance rate time word problem 
Applied Linear Equations: Collection Problem
Precalculus Linear Equations and Inequalities
How to solve a word problem about how many dimes and quarters it takes to make a certain denomination.
collection change coins dimes quarter word problem denomination 
Applied Linear Equations: Consecutive Numbers
Precalculus Linear Equations and Inequalities
How to solve a problem involving consecutive integers.
consecutive numbers 
Families of Polar Curves: Roses
Precalculus Polar Coordinates and Complex Numbers
How to describe Roses, the family of curves with equations r=acos(b*theta) or r=asin(b*theta) when b >=2 and is an integer.
polar graph polar equation polar curve roses symmetric about the x axis symmetric about the y axis. 
Solving "Greater Than" Absolute Value Inequalities
Precalculus Linear Equations and Inequalities
How to solve an inequality with an absolute value greater than a number.
absolute value inequality making 2 equations union 
Solving "Less Than" Absolute Value Inequalities
Precalculus Linear Equations and Inequalities
How to solve an inequality with an absolute value less than a number.
absolute value inequality making 2 equations intersection 
Graph of Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to find the graph of a logarithmic equation with a base greater than one.
log graph logarithmic graphs inverse graphically domain range asymptote 
Introduction to Planes
Precalculus Vectors and Parametric Equations
How to write an equation for the coordinate planes or any plane that is parallel to one.
coordinate axes coordinate planes octants the first octant planes three dimensions