Joshua Helston

Strong induction on stamps

Using Euclidean algorithm to write gcd as linear combination

Using the Chinese Remainder Theorem on a system of congruences

Applying Fermats Little Theorem

Special products of radical expressions: Conjugates and squaring

Proof of one of the distributive properties from set theory

Surface area of a cylinder: Exact answers in terms of pi

Finding the volume of a cone

Square roots of rational numbers

Logarithm rules!

Multiplying complex numbers

Solving a decimal word problem using a two step linear inequality

Finding the area of a piecewise rectangular region

Permutations vs Combinations

Open, closed, both and neither sets

Applying the continuous exponential growth model (Pert)

Two proofs from set theory

Plotting points on the Cartesian plane

Square roots of negative numbers

Least common multiple of monomials

Simplifying linear expressions

Translating english sentences into mathematical equations

Finding inverse trigonomteric values of a trigonometric expression

Using the angle sum and difference formulas to rewrite trig expressions

Finding an angle from a secant ratio using special right triangles

Finding the partial fraction decomposition with only distinct linear factors

Finding partial fraction decomposition with some factors are repeated

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

Applying the cofunction identity in either radian or degree mode

Finding the values of double angles from a reference triangle

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

Using double angles identities to rewrite expressions

Using trigonometric identities to simplify an expression

Sketching the graph of an exponential function

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

Finding intercepts from the equation of a function

Using the continuously compounding interest formula

Finding a limit by using algebraic simplification

Using TI83 to find vertex and intercepts of a quadratic function

Induction proof for a summation identity

Using induction to prove Bernoullis inequality

Using the annually compounded interest formula

Test prep: Tangent lines to circles

A proof involving the derivative of a power series

Solving quadratic equations with various techniques

Finding the partial fraction decomposition, irreducible quadratic factor

Finding a solution to a recurrence relation

Solving a rational equation and checking for extraneous solutions

Finding percentage change in word problems with formulas

Finding (not formally proving) four limits

End behaviour of all polynomials