Exp and Log Functions

Video at Archive.org
Video at YouTube
Solving for an unknown in the exponent requires logarithms! 19 Problems are explained that involve graphing and the properties of exponents and logarithms, as well using your graphing calculator

Matrix Determinants

Matrix Determinant Video

Use Cramer's Rule to solve a system of equations with Leinitz and Sarrus' method of finding the determinate of a matrix!

Arithmetic Sequences

An Arithmetic Sequence is a pattern where each element changes by adding a constant. Here are examples, as well as the proof the formula for a partial sum of an arithmetic sequence.

Arithmetic Sequnces

Using Sum & Difference Formulas

Here we find the trig functions of other angles based on the sum and difference of two angles, the double or half angle. We will prove these formulas in a different video

Graphing Trig Functions (4.1-4.6)

Here we have basic angles in radians, and graphing the trig functions of these angles. These functions, with their ability to transform waves with different periods and amplitudes, can be used to mathematically express all sorts of waves we find in real life. These ideas are from Sections 4.1 to 4.6 of our Precalculus book by Larsen.

Radians and Unit Circle Trig Quiz Answers

Quiz answers on radian angles, unit circle and right triangle trig (Sections 4.1-4.4)

Intro to Precalc

A broad overview of studying precalculus

Basic Algebra Review

Counting Applications

We consider how to put together our counting techniques to find out the probability of a royal flush, and figure out how many ways to give five fish to three dolphins using the partition technique.

Farkle

The old dice game "Farkle" is explained and probabilities are discussed. Special "Thank You"'s go to Br Jack, Br Chris, and all my Christian Brother buddies at Camp La Salle!

See http://www.mathorama.com/farkle.html for a written summary of the rules

Binomial Theorem

Using the Binomial Theorem to expand binomials, Pascal's Rule, and an inductive proof of the Binomial Theorem. Video

Proof By Induction

An overview and three examples of proving something inductively.

Fraction Decomposition, Non-Linear Systems, Symplex Method

Answers to a Chapter 12 Test on Partial Fraction Decomposition, Non Linear Systems and the Simplex Method

Polynomial and Rational Functions

Factoring using synthetic division, and graphing techniques for polynomial and rational functions

Matrix Applications and Pivoting

Find the area of triangles and polygons from their co-ordinates. Use the pivot technique to find a inverse matrix or gaussian elimination or solve a system of equations

Linear Systems(Chapter 7 Test Answers)

Chapter 7 we learn the basics of multiple linear systems of equations, including the powerful simplex method of Dantzig.

Answers to a first Trig Test

Answers to a first Test in Trig: Graphing Sine Cosine and other trig facts and word problems.

Click on the Green title to see the video.

Review of Algebra 1 Graphing and Modeling

Line and circle equations and direct and inverse relationship modeling

Chapter 9 B Test Answers

Answers to questions about Probability, Combinations and Permutations