PODCAST · education
Precalc Problems Explained
by Chris Thiel
A video podcast that show how to solve algebra, trigonometry and other skills needed to enroll in Calculus
Episodes
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Angles and Radians
Find out how to convert fractions of a degree with Degrees, minutes and seconds, and enter the wonderful world of the radian. I have a some examples of how to convert from degrees to radians and back again, as well as angular and linear speed using radians: Video Link
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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
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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!
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Fancy Trig Equations
To solve for an unknown angle we will use all sorts of clever tricks, employing the trig formulas and identities in weird and wonderful ways!
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Proof of the Trig Sum and Difference Formulas
Proof of the sum and difference formulas for sine, cosine and tangent
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Trig Substitution & Identities
Using the trig identities for substituting a Pythagorean looking expression.
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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.
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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
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Some more Trig Word Problems (4.8, 4.R)
Here we use the trigonometry from our first Trig Chapter (4 in our textbook) to review how sine, cosine and tangent are used to solve word problems
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Inverse Trig Functions and Trig Word Problems
Use the inverse trig functions to find unknown angles and use everything you know about sine cosine and tangent to solve word problems
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Hon Algebra 2 Trig Test 1 answers
Some are getting ready for calculus by taking a Honors Algebra 2 with Trigonometry. Here are topics from Chapter 1 of the Sullivan text that are part of any Honors Algebra 2 class.
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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...
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Radians and Unit Circle Trig Quiz Answers
Quiz answers on radian angles, unit circle and right triangle trig (Sections 4.1-4.4)
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Intro to Precalc
A broad overview of studying precalculus
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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.
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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
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Binomial Theorem
Using the Binomial Theorem to expand binomials, Pascal's Rule, and an inductive proof of the Binomial Theorem. Video
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Counting
Sets, Venn Diagrams, Intersections, Unions, Counting and the Multiplication Rule
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Proof By Induction
An overview and three examples of proving something inductively.
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Fraction Decomposition, Non-Linear Systems, Symplex Method
Answers to a Chapter 12 Test on Partial Fraction Decomposition, Non Linear Systems and the Simplex Method
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Polynomial and Rational Functions
Factoring using synthetic division, and graphing techniques for polynomial and rational functions
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Sarrus 3x3 Determinant Short Cut
A short-cut for finding the determinant of a 3x3 (or higher) matrix
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ABOUT THIS SHOW
A video podcast that show how to solve algebra, trigonometry and other skills needed to enroll in Calculus
HOSTED BY
Chris Thiel
CATEGORIES
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