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Completing The SquareGraph Of A FunctionAlgebra

1

## 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 個視頻 （總計 78 分鐘）, 3 個閱讀材料
11 個視頻
Properties of Integer Exponents 9分鐘
Multiplication of Binomials 10分鐘
Multiplication of Polynomials 4分鐘
Multiple Operations with Polynomials 6分鐘
Rational Exponents 4分鐘
Square Root Addition and Subtraction 6分鐘
Multiplication Involving Square Roots 5分鐘
Rationalizing a Denominator 3分鐘
3 個閱讀材料
Syllabus10分鐘
Quiz Notation5分鐘
2

## 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 個視頻 （總計 80 分鐘）, 3 個閱讀材料, 3 個測驗
13 個視頻
Algebraic Symbol Manipulation 4分鐘
Linear Word Problems 6分鐘
Percentage Word Problems 6分鐘
Area and Perimeter Word Problems 7分鐘
Distance-Rate-Time 5分鐘
Mixture Problems Using Linear Equations 5分鐘
Solving a Linear Inequality 5分鐘
Compound Inequalities 7分鐘
Linear Inequality Word Problems 4分鐘
Absolute Value Equations 6分鐘
Absolute Value Inequalities 6分鐘
3 個閱讀材料
Linear Equations and Inequalities I: Reading and Exercises20分鐘
Linear Equations and Inequalities II: Readings and Exercises30分鐘
Absolute Value Equations and Inequalities: Readings and Exercises45分鐘
3 個練習
Linear Equations and Inequalities I15分鐘
Linear Equations and Inequalities II15分鐘
Absolute Value Equations and Inequalities15分鐘
3

In this module, we explore a variety of methods for solving quadratic equations. ...
9 個視頻 （總計 60 分鐘）, 1 個閱讀材料, 2 個測驗
9 個視頻
Special Factoring Formulas 9分鐘
Factoring by Grouping 7分鐘
Discriminant 5分鐘
Solving a Quadratic Equation - Completing the Square 3分鐘
1 個閱讀材料
2 個練習
4

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 個視頻 （總計 62 分鐘）, 1 個閱讀材料, 2 個測驗
10 個視頻
Simplifying a Ratio of Polynomials 3分鐘
Adding and Subtracting Rational Expressions 8分鐘
Multiplying Rational Expressions 3分鐘
Dividing Rational Expressions 4分鐘
Square Root Property 4分鐘
Solving Rational Equations, Part 1 9分鐘
Solving Rational Equations, Part 2 8分鐘
Solving an Equation Quadratic in Form 6分鐘
1 個閱讀材料
2 個練習
Rational Expressions15分鐘
5

## 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 個視頻 （總計 97 分鐘）, 3 個閱讀材料, 3 個測驗
13 個視頻
Relations versus Functions 5分鐘
Functions and the Vertical Line Test 5分鐘
Domain 2分鐘
Evaluating Functions 6分鐘
Finding the Domain and Range from a Graph 7分鐘
Domain and Intercepts 7分鐘
Difference Quotient 5分鐘
Piecewise-Defined Functions 6分鐘
Increasing/Decreasing/Constant10分鐘
Graph Transformations, Part 1 12分鐘
Graph Transformations, Part 2 7分鐘
Odd and Even Functions 7分鐘
3 個閱讀材料
Graphs of Functions20分鐘
Transformation of Functions: Readings and Exercises20分鐘
3 個練習
Functions15分鐘
Graphs of Functions15分鐘
Transformations of Functions15分鐘
6

## 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 個視頻 （總計 98 分鐘）, 3 個閱讀材料, 3 個測驗
14 個視頻
Converting a Quadratic Function from Standard to Vertex Form 6分鐘
Graphing a Parabola, Part 1 6分鐘
Graphing a Parabola, Part 2 7分鐘
Maximum/Minimum Quadratic Function Word Problems 3分鐘
Finding the Inverse of a Function 6分鐘
Inverse Functions 5分鐘
Verifying Inverse Functions 7分鐘
Polynomial Long Division 10分鐘
Synthetic Division 10分鐘
Properties of Polynomials 8分鐘
Remainder Theorem 7分鐘
Factor Theorem 4分鐘
3 個閱讀材料
3 個練習
Inverse Functions10分鐘
Polynomials10分鐘
7

## 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 個視頻 （總計 55 分鐘）, 2 個閱讀材料, 2 個測驗
9 個視頻
Solving Exponential Equations 3分鐘
Change of Base Formula for Logarithms 3分鐘
Converting Between Logarithmic and Exponential Equations 2分鐘
Properties of Logarithms 5分鐘
Evaluating Logarithmic Expressions 5分鐘
Solving Logarithmic Equations 6分鐘
Exponential Graphs 7分鐘
Logarithmic Graphs 6分鐘
2 個閱讀材料
Exponentials and Logarithms: Readings and Exercises45分鐘
Exponential and Logarithmic Equations and Graphs: Readings and Exercises40分鐘
2 個練習
Exponentials and Logarithms15分鐘
Exponential and Logarithmic Equations and Graphs15分鐘
8

## 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 個測驗
1 個練習
Pre-Calculus Final Exam30分鐘
4.7
80 個審閱

## 33%

### 熱門審閱

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.

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

## 關於 加州大学尔湾分校

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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