Inductive Reasoning 2

An assortment of concepts in math that help us deal with sequences and proofs. You will hear the words deductive reasoning and inductive reasoning throughout your life. This very optional tutorial will give you context for what these mean.

Finding the sum of an infinite geometric series.

An assortment of concepts in math that help us deal with sequences and proofs. This sequence (pun intended) of videos and exercises will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them. We will then explo

Introduction to the arithmetic and geometric series

An assortment of concepts in math that help us deal with sequences and proofs. This sequence (pun intended) of videos and exercises will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them. We will then explo

Geometric Sequences (Introduction)

An assortment of concepts in math that help us deal with sequences and proofs. This sequence (pun intended) of videos and exercises will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them. We will then explo

Inductive Reasoning 3

An assortment of concepts in math that help us deal with sequences and proofs. You will hear the words deductive reasoning and inductive reasoning throughout your life. This very optional tutorial will give you context for what these mean.

Deductive Reasoning 1

An assortment of concepts in math that help us deal with sequences and proofs. You will hear the words deductive reasoning and inductive reasoning throughout your life. This very optional tutorial will give you context for what these mean.

Another way to prove the expression for the sum of all positive integers up to and including n

An assortment of concepts in math that help us deal with sequences and proofs. Proof by induction is a core tool. This tutorial walks you through the general idea that if 1) something is true for a base case (say when n=1) and 2) if it is true for n, then

Proving an expression for the sum of all positive integers up to and including n by induction

An assortment of concepts in math that help us deal with sequences and proofs. Proof by induction is a core tool. This tutorial walks you through the general idea that if 1) something is true for a base case (say when n=1) and 2) if it is true for n, then

Inductive Patterns

An assortment of concepts in math that help us deal with sequences and proofs. You will hear the words deductive reasoning and inductive reasoning throughout your life. This very optional tutorial will give you context for what these mean.

Inductive Reasoning 1

An assortment of concepts in math that help us deal with sequences and proofs. You will hear the words deductive reasoning and inductive reasoning throughout your life. This very optional tutorial will give you context for what these mean.

Deductive Reasoning 2

An assortment of concepts in math that help us deal with sequences and proofs. You will hear the words deductive reasoning and inductive reasoning throughout your life. This very optional tutorial will give you context for what these mean.

Counting paths in a square

Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!

Graphing Exponential Functions

An look at exponential and logarithmic functions including many of their properties and graphs. From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.

Probability that I picked a fair coin given that I flipped 4 out of 6 heads.

Basics of probability and combinatorics. This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better investments than poring all your money int

Worked example showing how to use typical calculators to evaluate trigonometric functions

Videos and exercises on trigonometry. Watch the Geometry playlist first if you have trouble understanding the topics covered here.

Worked example where we walk through finding the major trig ratios

Videos and exercises on trigonometry. Watch the Geometry playlist first if you have trouble understanding the topics covered here.

A little practice converting between radians and degrees and vice versa

Videos and exercises on trigonometry. Watch the Geometry playlist first if you have trouble understanding the topics covered here.

Walk-through of the Khan Academy Unit Circle Manipulative.

Videos and exercises on trigonometry. Watch the Geometry playlist first if you have trouble understanding the topics covered here.

Introduction to combinations

Basics of probability and combinatorics. If want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you

Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.

Videos and exercises on trigonometry. Watch the Geometry playlist first if you have trouble understanding the topics covered here.