﻿ Pre-Calculus Videos

# Pre-Calculus

• ### Applications Of 3 Variable Systems

I work through 2 examples of solving 3 variable linear systems using the elimination method. I show how to find the equation of a parabola when you are given...

• ### Parabola Applications Maximizing Minimizing Reflectors, Etc

I give examples of how parabolas apply to real life and work through two example...one about maximum height of a thrown object, and a second about maximizing...

• ### Application Of Ellipses

I work through three example of Applications of Ellipses.

• ### Graphing Rational Functions Part2

This rational function I graph has a horizontal asymptoto, a vertical asymptote, and a hole.

• ### Equations Of Lines And Graphing

Continued discussion about equations of lines and the three equation forms. Graphing of linear functions also included.

• ### Rolle's Theorem

I introduce Rolle's Theorem and work through two examples. My first diagram in my explanation of Rolle's Theorem, should have labelled function f not g.

• ### Graphical Comparison Of Function Vs Derivative Graphs

I compare the sketch of a function with a sketch of it's derivative. I also explain how the derivative's graph can help you identify relative maximum and min...

• ### Modeling With Functions Part 2

I continue with two more examples of Modeling with Functions which relate the area of regions with their perimeter. These type of questions will help to mast...

• ### Definite Integral As A Function Of X (Corrected)

EXAMPLES at 3:09 9:01 10:37 11:36 I work through finding Definite Integrals when the upper boundary, and possibly the lower bound of the closed interval is a...

• ### Polynomial Graphs Part 2

I continue my introduction of graphing polynomials without the assistance of a graphing calculator. I go over x-int&y-int, and I remind you how to determin...

• ### Linear Regression T Test And Confidence Interval Corrected

I introduce the Linear Regression t test and confidence intervals for the slope of a regression line.

• ### Fundamental Trigonometric Identities Intro&Proofs

I introduce and prove the Fundamental Trigonomic Identities...the Quotient Identities, Reciprocal Identities, and the Pythagorian Identities.

• ### Applications Of Law Of Sines And Cosines

I do four examples to help you understand how to solve some of your word problems that require Law of Sine and/or Cosine.

• ### Equations Of Parallel And Perpendicular Lines

An introduction to finding the equations of lines that pass through a point and are parallel or perpendicular to a given line.

• ### Projection Of A Vector Onto Another Vector

I work through projecting a vector onto another vector in two setting: 1) When the vectors are described with magnitude and direction. 2) When the vectors ar...

• ### Trigonometric Cofunctions

I introduce the concept of Cofunctions in Trigonometry and explain why and when they are equal.

• ### Factoring By Grouping

I work through 4 examples of factoring expressions and solving equations using factoring by grouping.

• ### Even Odd Functions&Symmetry

Definining Even and Odd functions.

• ### Complex Numbers In Polar Form

I explain the relationhip between complex numbers in rectangular form and polar form. I also do an example of converting back and forth between the two forms.

• ### Evaluating Trig Functions W/ Unit Circle Degrees&Radians

I go over many example of evaluating trigonometry functions in exact form using the unit circle.

• ### Standard Position Angles&Radians Part 1

Part 1 of 2. I introduce Standard Position Angles, Define Coterminal Angles, Quadrantal Angles, and the Radian Measure.

• ### Basic Differentiation Rules

NOTE: I forgot a minus sine in the Sum and Difference rules. The right side should read f'(x)+or-g'(x). An annotation correction is in the video, but not vis...