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Completing The SquareGraph Of A FunctionAlgebra

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1
3時間で修了

## Course Overview and Algebra Review

We begin with an overview of the course and an opportunity to review and practice some of the prerequisite algebra skills needed for success in this course. ...
11件のビデオ （合計78分）, 3 readings
11件のビデオ
Properties of Integer Exponents 9 分
Adding and Subtracting Polynomials 8 分
Multiplication of Binomials 10 分
Multiplication of Polynomials 4 分
Multiple Operations with Polynomials 6 分
Rational Exponents 4 分
Simplified Radical Form 7 分
Square Root Addition and Subtraction 6 分
Multiplication Involving Square Roots 5 分
Rationalizing a Denominator 3 分
3件の学習用教材
Syllabus10 分
Quiz Notation5 分
Algebra Review: Readings and Exercises30 分
2
5時間で修了

## Linear Equations and Inequalities. Absolute Value Equations and Inequalities.

In this module, we will learn to solve linear and absolute value equations and inequalities. We will also explore a range of story problems which can be solved utilizing linear equations....
13件のビデオ （合計80分）, 3 readings, 3 quizzes
13件のビデオ
Algebraic Symbol Manipulation 4 分
Linear Word Problems 6 分
Percentage Word Problems 6 分
Area and Perimeter Word Problems 7 分
Distance-Rate-Time 5 分
Mixture Problems Using Linear Equations 5 分
Solving a Linear Inequality 5 分
Compound Inequalities 7 分
Linear Inequality Word Problems 4 分
Absolute Value Equations 6 分
Absolute Value Inequalities 6 分
Inequalities Involving Radicals 5 分
3件の学習用教材
Linear Equations and Inequalities I: Reading and Exercises20 分
Linear Equations and Inequalities II: Readings and Exercises30 分
Absolute Value Equations and Inequalities: Readings and Exercises45 分
3の練習問題
Linear Equations and Inequalities I15 分
Linear Equations and Inequalities II15 分
Absolute Value Equations and Inequalities15 分
3
3時間で修了

In this module, we explore a variety of methods for solving quadratic equations. ...
9件のビデオ （合計60分）, 1 reading, 2 quizzes
9件のビデオ
Factoring a Quadratic Expression10 分
Special Factoring Formulas 9 分
Factoring by Grouping 7 分
Solving a Quadratic Equation 2 分
Discriminant 5 分
Quadratic Formula 5 分
Solving a Quadratic Equation - Completing the Square 3 分
Quadratic Equation Word Problems 6 分
1件の学習用教材
2の練習問題
Quadratic Equations I15 分
Quadratic Equations II15 分
4
2時間で修了

## Rational and Radical Equations.

We begin this module by practicing manipulations of rational expressions using basic properties. We then utilize these manipulations to solve rational and radical equations....
10件のビデオ （合計62分）, 1 reading, 2 quizzes
10件のビデオ
Simplifying a Ratio of Polynomials 3 分
Adding and Subtracting Rational Expressions 8 分
Multiplying Rational Expressions 3 分
Dividing Rational Expressions 4 分
Square Root Property 4 分
Solving Rational Equations, Part 1 9 分
Solving Rational Equations, Part 2 8 分
Solving an Equation Quadratic in Form 6 分
Solving Equations Involving Radicals 8 分
1件の学習用教材
Rational Expressions: Readings and Exercises40 分
2の練習問題
Rational Expressions15 分
Rational and Radical Equations15 分
5
5時間で修了

## Functions. Graphs of Functions. Transformations of Functions.

In this module, we define the notion of "function". We learn to distinguish between functions and non-functions in graphical, symbolic and tabular form. Finally, we will explore graphs of functions and how these graphs behave under linear transformations....
13件のビデオ （合計97分）, 3 readings, 3 quizzes
13件のビデオ
Relations versus Functions 5 分
Functions and the Vertical Line Test 5 分
Domain 2 分
Evaluating Functions 6 分
Finding the Domain and Range from a Graph 7 分
Domain and Intercepts 7 分
Difference Quotient 5 分
Piecewise-Defined Functions 6 分
Increasing/Decreasing/Constant10 分
Graph Transformations, Part 1 12 分
Graph Transformations, Part 2 7 分
Odd and Even Functions 7 分
3件の学習用教材
Functions: Readings and Exercises50 分
Graphs of Functions20 分
Transformation of Functions: Readings and Exercises20 分
3の練習問題
Functions15 分
Graphs of Functions15 分
Transformations of Functions15 分
6
4時間で修了

## Quadratic Functions. Inverse Functions. Polynomials.

In this module, we explore quadratic equations and graphs. We also introduce the notion of inverse functions. Finally, we will learn about polynomial properties and practice some methods for polynomial root finding....
14件のビデオ （合計98分）, 3 readings, 3 quizzes
14件のビデオ
Converting a Quadratic Function from Standard to Vertex Form 6 分
Graphing a Parabola, Part 1 6 分
Graphing a Parabola, Part 2 7 分
Maximum/Minimum Quadratic Function Word Problems 3 分
Quadratic Inequalities 9 分
Finding the Inverse of a Function 6 分
Inverse Functions 5 分
Verifying Inverse Functions 7 分
Polynomial Long Division 10 分
Synthetic Division 10 分
Properties of Polynomials 8 分
Remainder Theorem 7 分
Factor Theorem 4 分
3件の学習用教材
Inverse Functions: Readings and Exercises40 分
Polynomials: Readings and Exercises40 分
3の練習問題
Inverse Functions10 分
Polynomials10 分
7
4時間で修了

## Exponential and Logarithmic Equations.

Exponential and logarithmic functions are two important functions that are useful in applications of calculus. We will discuss properties and graphs of these special functions. We will also learn to solve equations involving exponential and logarithmic functions. ...
9件のビデオ （合計55分）, 2 readings, 2 quizzes
9件のビデオ
Solving Exponential Equations 3 分
Change of Base Formula for Logarithms 3 分
Converting Between Logarithmic and Exponential Equations 2 分
Properties of Logarithms 5 分
Evaluating Logarithmic Expressions 5 分
Solving Logarithmic Equations 6 分
Exponential Graphs 7 分
Logarithmic Graphs 6 分
2件の学習用教材
Exponentials and Logarithms: Readings and Exercises45 分
Exponential and Logarithmic Equations and Graphs: Readings and Exercises40 分
2の練習問題
Exponentials and Logarithms15 分
Exponential and Logarithmic Equations and Graphs15 分
8
2時間で修了

## Pre-Calculus Functions Final Exam

Now is your opportunity to review the topics from this course. The comprehensive final exam is your chance to demonstrate your conceptual understandings of functions and algebraic computational skills....
1 quiz
1の練習問題
Pre-Calculus Final Exam30 分
4.7
80件のレビュー

## 25%

コース終了後に新しいキャリアをスタートした

## 33%

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### 人気のレビュー

by MJFeb 27th 2018

Well-organized, no-nonsense course with plenty of resources for practice and mastery of pre-calculus. Helped me greatly in dusting off skills I had not used since high school.

by NYSep 23rd 2016

Love it, I just wish that they would combine it with the trigonometry course. The only gripe I have is that it is too simple, I completed the entire course in 4-5 days!

## 講師

### Dr. Sarah Eichhorn

Associate Dean, Distance Learning & Tenured Lecturer

## カリフォルニア大学アーバイン校（University of California, Irvine）について

Since 1965, the University of California, Irvine has combined the strengths of a major research university with the bounty of an incomparable Southern California location. UCI’s unyielding commitment to rigorous academics, cutting-edge research, and leadership and character development makes the campus a driving force for innovation and discovery that serves our local, national and global communities in many ways....

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