Translating english sentences into mathematical equations

Example using a sinusoid to model a periodic function

Showing that limits behave nicely with subtraction

Formal argument of a limit

Proving a field property

Finding (not formally proving) four limits

Applying the rational roots test to find all roots, even irrational ones

Using induction to prove Bernoulli's inequality

Showing a limit that does not exist using epsilon-N

Establishing the limit of a rational function using epsilon-N

Epsilon-N proof with an already existing sequence

Finding the N in an epsilon-N proof

Test prep: Tangent lines to circles

End behaviour of "all" polynomials

Solving a rational equation and checking for extraneous solutions

Finding intercepts from the equation of a function

Solving quadratic equations with various techniques

Using TI83 to find vertex and intercepts of a quadratic function

Completing the square to write a quadratic in vertex form

Finding percentage change in word problems with formulas

Finding range of a quadratic by completing the square and writing in vertex form

Using the angle sum and difference formulas to rewrite trig expressions

Applying the sum and difference formulas to find exact values of trig functions

Finding the partial fraction decomposition, irreducible quadratic factor

Finding partial fraction decomposition with some factors are repeated