关于此课程： This course covers mathematical topics in college algebra, with an emphasis on functions. The course is designed to help prepare students to enroll for a first semester course in single variable calculus. Upon completing this course, you will be able to: 1. Solve linear and quadratic equations 2. Solve some classes of rational and radical equations 3. Graph polynomial, rational, piece-wise, exponential and logarithmic functions 4. Find integer roots of polynomial equations 5. Solve exponential and logarithm equations 6. Understand the inverse relations between exponential and logarithm equations 7. Compute values of exponential and logarithm expressions using basic properties
制作方： University of California, Irvine
教学方： Dr. Sarah Eichhorn, Associate Dean, Distance Learning & Tenured Lecturer
| 级别 | 中级 |
| 语言 | English, 字幕： Hindi |
| 如何通过 | 通过所有计分作业以完成课程。 |
| 用户评分 |
授课大纲
第 1 周
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 个视频, 3 个阅读材料
- Reading: Syllabus
- Reading: Quiz Notation
- Reading: Algebra Review: Readings and Exercises
- 视频: Properties of Integer Exponents
- 视频: Adding and Subtracting Polynomials
- 视频: Multiplication of Binomials
- 视频: Multiplication of Polynomials
- 视频: Multiple Operations with Polynomials
- 视频: Rational Exponents
- 视频: Simplified Radical Form
- 视频: Square Root Addition and Subtraction
- 视频: Multiplication Involving Square Roots
- 视频: Rationalizing a Denominator
第 2 周
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 个视频, 3 个阅读材料
- Reading: Linear Equations and Inequalities I: Reading and Exercises
- 视频: Algebraic Symbol Manipulation
- 视频: Linear Word Problems
- 视频: Percentage Word Problems
- 视频: Area and Perimeter Word Problems
- Reading: Linear Equations and Inequalities II: Readings and Exercises
- 视频: Distance-Rate-Time
- 视频: Mixture Problems Using Linear Equations
- 视频: Solving a Linear Inequality
- 视频: Compound Inequalities
- 视频: Linear Inequality Word Problems
- Reading: Absolute Value Equations and Inequalities: Readings and Exercises
- 视频: Absolute Value Equations
- 视频: Absolute Value Inequalities
- 视频: Inequalities Involving Radicals
已评分: Linear Equations and Inequalities I
已评分: Linear Equations and Inequalities II
已评分: Absolute Value Equations and Inequalities
第 3 周
Quadratic Equations.
In this module, we explore a variety of methods for solving quadratic equations.
9 个视频, 1 个阅读材料
- Reading: Quadratic Equations: Readings and Exercises
- 视频: Factoring a Quadratic Expression
- 视频: Special Factoring Formulas
- 视频: Factoring by Grouping
- 视频: Solving a Quadratic Equation
- 视频: Discriminant
- 视频: Quadratic Formula
- 视频: Solving a Quadratic Equation - Completing the Square
- 视频: Quadratic Equation Word Problems
已评分: Quadratic Equations I
已评分: Quadratic Equations II
第 4 周
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 个视频, 1 个阅读材料
- Reading: Rational Expressions: Readings and Exercises
- 视频: Simplifying a Ratio of Polynomials
- 视频: Adding and Subtracting Rational Expressions
- 视频: Multiplying Rational Expressions
- 视频: Dividing Rational Expressions
- 视频: Square Root Property
- 视频: Solving Rational Equations, Part 1
- 视频: Solving Rational Equations, Part 2
- 视频: Solving an Equation Quadratic in Form
- 视频: Solving Equations Involving Radicals
已评分: Rational Expressions
已评分: Rational and Radical Equations
第 5 周
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 个视频, 3 个阅读材料
- Reading: Functions: Readings and Exercises
- 视频: Relations versus Functions
- 视频: Functions and the Vertical Line Test
- 视频: Domain
- 视频: Evaluating Functions
- Reading: Graphs of Functions
- 视频: Finding the Domain and Range from a Graph
- 视频: Domain and Intercepts
- 视频: Difference Quotient
- 视频: Piecewise-Defined Functions
- Reading: Transformation of Functions: Readings and Exercises
- 视频: Increasing/Decreasing/Constant
- 视频: Graph Transformations, Part 1
- 视频: Graph Transformations, Part 2
- 视频: Odd and Even Functions
已评分: Functions
已评分: Graphs of Functions
已评分: Transformations of Functions
第 6 周
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 个视频, 3 个阅读材料
- Reading: Quadratic Functions: Readings and Exercises
- 视频: Converting a Quadratic Function from Standard to Vertex Form
- 视频: Graphing a Parabola, Part 1
- 视频: Graphing a Parabola, Part 2
- 视频: Maximum/Minimum Quadratic Function Word Problems
- 视频: Quadratic Inequalities
- Reading: Inverse Functions: Readings and Exercises
- 视频: Finding the Inverse of a Function
- 视频: Inverse Functions
- 视频: Verifying Inverse Functions
- Reading: Polynomials: Readings and Exercises
- 视频: Polynomial Long Division
- 视频: Synthetic Division
- 视频: Properties of Polynomials
- 视频: Remainder Theorem
- 视频: Factor Theorem
已评分: Quadratic Functions
已评分: Inverse Functions
已评分: Polynomials
第 7 周
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 个视频, 2 个阅读材料
- Reading: Exponentials and Logarithms: Readings and Exercises
- 视频: Solving Exponential Equations
- 视频: Change of Base Formula for Logarithms
- 视频: Converting Between Logarithmic and Exponential Equations
- 视频: Properties of Logarithms
- Reading: Exponential and Logarithmic Equations and Graphs: Readings and Exercises
- 视频: Evaluating Logarithmic Expressions
- 视频: Solving Logarithmic Equations
- 视频: Exponential Graphs
- 视频: Logarithmic Graphs
已评分: Exponentials and Logarithms
已评分: Exponential and Logarithmic Equations and Graphs
第 8 周
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.
已评分: Pre-Calculus Final Exam
常见问题解答
运作方式
Coursework
Each course is like an interactive textbook, featuring pre-recorded videos, quizzes and projects.
Help from Your Peers
Connect with thousands of other learners and debate ideas, discuss course material, and get help mastering concepts.
Certificates
Earn official recognition for your work, and share your success with friends, colleagues, and employers.
制作方
University of California, Irvine
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.
价格
| 购买课程 | |
|---|---|
| 访问课程材料 | 可用 |
| 访问评分的材料 | 可用 |
| 收到最终成绩 | 可用 |
| 获得可共享的课程证书 | 可用 |
评分和审阅
Took this course in Grade 9 / 10 holidays. Definitely was a refresher of Grade 9 content, but also learned a lot of what I was to learn in the future.
Excellent refresher for anyone who hasn't taken a math class in a while and is hoping to get into Calculus
It's a good course for recall school algebra. A lot of thanks to teachers.
Excellent systematic programme that has reignited my enjoyment of mathematics, having not done any serious maths for nearly 40 years