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YouTube

PreCalculus - Comprehensive Course on Functions, Equations, and Algebraic Concepts

Michael Penn via YouTube

Overview

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Learn fundamental precalculus concepts through a comprehensive video series covering essential algebraic and function topics. Master solving radical equations including those with complex solutions, rational equations, and various types of inequalities including compound and absolute value inequalities. Develop skills in finding function domains, solving equations for specific variables, and working with the distance formula. Explore function properties including difference quotients through multiple worked examples, even and odd functions, and graph transformations from both visual and written descriptions. Practice polynomial long division techniques and review key concepts through structured problem-solving sessions that build mathematical reasoning and computational skills essential for calculus preparation.

Syllabus

PreCalculus | Radical Equations with Complex Solutions
PreCalculus | Solving a Radical Equation
PreCalculus | Solving rational equations.
PreCalculus | Finding the domain of a function.
PreCalculus | Finding the domain.
PreCalculus | Solving equations for a given variable.
PreCalculus | Using the distance formula.
PreCalculus | Find the difference quotient: Example 1
PreCalculus | Finding the difference quotient: Example 2
PreCalculus | Finding the difference quotient: Example 3
PreCalculus | Transforming a point on a graph: Examples
PreCalculus | Even and Odd Functions: Examples
PreCalculus | Transformations of a graph from a written description: Example
Randolph College Math 117 Fall 2020: Week 1 Day 2
Randolph College Math 117 Fall 2020 Week 2 Day 1
Randolph College Math 117 Fall 2020 Week 2 Day 2
Randolph College Math 117 Fall 2020 Week 3 Day 1
Randolph College Math 117 Fall 2020 Week 3 Day 2
PreCalculus | Two compound inequalities.
A few surprisingly tricky equations.
PreCalculus | Two absolute value inequalities.
Randolph College Math 117 Fall 2020 Week 6 Day 2
Randolph College Math 117 Fall 2020 Week 6 Day 1
Math 117 Randolph College Fall 2020 Week 7 Day 1
Math 117 Randolph College Fall 2020 Week 7 Day 2
Randolph College Math 117 Week 8 Day 1 Fall 2020
Two polynomial long division problems.
Two equations.
Review for exam 2.

Taught by

Michael Penn

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