sums and differences 15 videos

Computing Difference Quotients
Precalculus Equations of Lines, Parabolas and Circles
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient 
Computing Difference Quotients
Precalculus Introduction to Functions
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient 
The Sine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula 
Geometric Series
Precalculus Sequences and Series
How to find the sum of a geometric series.
geometric series sum of a geometric sequence rate infinite sum finite sum 
Arithmetic Series
Precalculus Sequences and Series
How to find the sum of an arithmetic series.
partial sums arithmetic series sum of an arithmetic sequence 
The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula 
Solving Exponential Equations with the Different Bases
Precalculus Exponential and Logarithmic Functions
Solving an exponential equation by taking the log of both sides.
exponential function log of both sides 
Series and Summation Notation
Precalculus Sequences and Series
How to define a series.
series sum of a sequence 
Permutations
Precalculus Topics in Discrete Math
How to find the number of permutations of a set.
different arrangement permutation factorial permute 
Arithmetic Sequences
Precalculus Sequences and Series
How to find the general term of an arithmetic sequence.
arithmetic sequence common difference general term 
The DoubleAngle Formulas
Precalculus Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the doubleangle formulas.
the sine of a sum formula the cosine of a sum formula the sine double angle formula the cosine double angle formula 
Addition and Scalar Multiplication of Vectors
Precalculus Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
vector components horizontal component vertical component component form vector addition the zero vector scalar multiplication 
Introduction to Conic Sections
Precalculus Conic Sections
How to create the different conic sections.
parabola circle ellipse oval hyperbola cone plane 
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: 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