Joshua Helston

Strong induction on stamps

Angles of elevation and depression in word problems

Finding out information about a partial function

Formal argument of a limit

Completing the square to write a quadratic in vertex form

Proving a field property

Open, closed, both and neither sets

Special products of radical expressions: Conjugates and squaring

Finding the volume of a cone

Square roots of rational numbers

Finding inverse trigonomteric values of a trigonometric expression

Finding percentage change in word problems with formulas

Using Euclidean algorithm to write gcd as linear combination

Proving the limit of a rational function

Two proofs from set theory

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

Epsilon-N proof with an already existing sequence

End behaviour of "all" polynomials

Using TI83 to find vertex and intercepts of a quadratic function

Using the angle sum and difference formulas to rewrite trig expressions

Test prep: Tangent lines to circles

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

Finding the N in an epsilon-N proof

Finding the partial fraction decomposition, irreducible quadratic factor

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

Solving quadratic equations with various techniques

Showing a limit that does not exist using epsilon-N

Using induction to prove Bernoulli's inequality

Solving a rational equation and checking for extraneous solutions

Finding (not formally proving) four limits

Showing that limits behave nicely with subtraction

Establishing the limit of a rational function using epsilon-N

Finding partial fraction decomposition with some factors are repeated

Finding intercepts from the equation of a function

Multiplication property of equality examples

Limits of functions

Translating english sentences into mathematical equations

A visual understanding of connected sets in R^n

Finding all six trigonometric ratios in a right triangle

Sketching the graph of an exponential function

Positive rational exponents

Strong induction on stamps

Example using a sinusoid to model a periodic function