About this Course
374개의 평가
80개의 리뷰

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

탄력적인 마감일

일정에 따라 마감일을 재설정합니다.

중급 단계

완료하는 데 약 21시간 필요


자막: 영어, 그리스어, 힌디어

귀하가 습득할 기술

Completing The SquareGraph Of A FunctionAlgebra

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

탄력적인 마감일

일정에 따라 마감일을 재설정합니다.

중급 단계

완료하는 데 약 21시간 필요


자막: 영어, 그리스어, 힌디어

강의 계획 - 이 강좌에서 배울 내용

완료하는 데 3시간 필요

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 videos (Total 78 min), 3 readings
11개의 동영상
Properties of Integer Exponents 9m
Adding and Subtracting Polynomials 8m
Multiplication of Binomials 10m
Multiplication of Polynomials 4m
Multiple Operations with Polynomials 6m
Rational Exponents 4m
Simplified Radical Form 7m
Square Root Addition and Subtraction 6m
Multiplication Involving Square Roots 5m
Rationalizing a Denominator 3m
3개의 읽기 자료
Quiz Notation5m
Algebra Review: Readings and Exercises30m
완료하는 데 5시간 필요

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 videos (Total 80 min), 3 readings, 3 quizzes
13개의 동영상
Algebraic Symbol Manipulation 4m
Linear Word Problems 6m
Percentage Word Problems 6m
Area and Perimeter Word Problems 7m
Distance-Rate-Time 5m
Mixture Problems Using Linear Equations 5m
Solving a Linear Inequality 5m
Compound Inequalities 7m
Linear Inequality Word Problems 4m
Absolute Value Equations 6m
Absolute Value Inequalities 6m
Inequalities Involving Radicals 5m
3개의 읽기 자료
Linear Equations and Inequalities I: Reading and Exercises20m
Linear Equations and Inequalities II: Readings and Exercises30m
Absolute Value Equations and Inequalities: Readings and Exercises45m
3개 연습문제
Linear Equations and Inequalities I15m
Linear Equations and Inequalities II15m
Absolute Value Equations and Inequalities15m
완료하는 데 3시간 필요

Quadratic Equations.

In this module, we explore a variety of methods for solving quadratic equations. ...
9 videos (Total 60 min), 1 reading, 2 quizzes
9개의 동영상
Factoring a Quadratic Expression10m
Special Factoring Formulas 9m
Factoring by Grouping 7m
Solving a Quadratic Equation 2m
Discriminant 5m
Quadratic Formula 5m
Solving a Quadratic Equation - Completing the Square 3m
Quadratic Equation Word Problems 6m
1개의 읽기 자료
Quadratic Equations: Readings and Exercises20m
2개 연습문제
Quadratic Equations I15m
Quadratic Equations II15m
완료하는 데 2시간 필요

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 videos (Total 62 min), 1 reading, 2 quizzes
10개의 동영상
Simplifying a Ratio of Polynomials 3m
Adding and Subtracting Rational Expressions 8m
Multiplying Rational Expressions 3m
Dividing Rational Expressions 4m
Square Root Property 4m
Solving Rational Equations, Part 1 9m
Solving Rational Equations, Part 2 8m
Solving an Equation Quadratic in Form 6m
Solving Equations Involving Radicals 8m
1개의 읽기 자료
Rational Expressions: Readings and Exercises40m
2개 연습문제
Rational Expressions15m
Rational and Radical Equations15m
완료하는 데 5시간 필요

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 videos (Total 97 min), 3 readings, 3 quizzes
13개의 동영상
Relations versus Functions 5m
Functions and the Vertical Line Test 5m
Domain 2m
Evaluating Functions 6m
Finding the Domain and Range from a Graph 7m
Domain and Intercepts 7m
Difference Quotient 5m
Piecewise-Defined Functions 6m
Graph Transformations, Part 1 12m
Graph Transformations, Part 2 7m
Odd and Even Functions 7m
3개의 읽기 자료
Functions: Readings and Exercises50m
Graphs of Functions20m
Transformation of Functions: Readings and Exercises20m
3개 연습문제
Graphs of Functions15m
Transformations of Functions15m
완료하는 데 4시간 필요

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 videos (Total 98 min), 3 readings, 3 quizzes
14개의 동영상
Converting a Quadratic Function from Standard to Vertex Form 6m
Graphing a Parabola, Part 1 6m
Graphing a Parabola, Part 2 7m
Maximum/Minimum Quadratic Function Word Problems 3m
Quadratic Inequalities 9m
Finding the Inverse of a Function 6m
Inverse Functions 5m
Verifying Inverse Functions 7m
Polynomial Long Division 10m
Synthetic Division 10m
Properties of Polynomials 8m
Remainder Theorem 7m
Factor Theorem 4m
3개의 읽기 자료
Quadratic Functions: Readings and Exercises30m
Inverse Functions: Readings and Exercises40m
Polynomials: Readings and Exercises40m
3개 연습문제
Quadratic Functions20m
Inverse Functions10m
완료하는 데 4시간 필요

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 videos (Total 55 min), 2 readings, 2 quizzes
9개의 동영상
Solving Exponential Equations 3m
Change of Base Formula for Logarithms 3m
Converting Between Logarithmic and Exponential Equations 2m
Properties of Logarithms 5m
Evaluating Logarithmic Expressions 5m
Solving Logarithmic Equations 6m
Exponential Graphs 7m
Logarithmic Graphs 6m
2개의 읽기 자료
Exponentials and Logarithms: Readings and Exercises45m
Exponential and Logarithmic Equations and Graphs: Readings and Exercises40m
2개 연습문제
Exponentials and Logarithms15m
Exponential and Logarithmic Equations and Graphs15m
완료하는 데 2시간 필요

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
1개 연습문제
Pre-Calculus Final Exam30m
80개의 리뷰Chevron Right


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최상위 리뷰

대학: 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.

대학: 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!



Dr. Sarah Eichhorn

Associate Dean, Distance Learning & Tenured Lecturer

캘리포니아 대학교 어바인 캠퍼스 정보

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....

자주 묻는 질문

  • 강좌에 등록하면 바로 모든 비디오, 테스트 및 프로그래밍 과제(해당하는 경우)에 접근할 수 있습니다. 상호 첨삭 과제는 이 세션이 시작된 경우에만 제출하고 검토할 수 있습니다. 강좌를 구매하지 않고 살펴보기만 하면 특정 과제에 접근하지 못할 수 있습니다.

  • 수료증을 구매하면 성적 평가 과제를 포함한 모든 강좌 자료에 접근할 수 있습니다. 강좌를 완료하면 전자 수료증이 성취도 페이지에 추가되며, 해당 페이지에서 수료증을 인쇄하거나 LinkedIn 프로필에 수료증을 추가할 수 있습니다. 강좌 콘텐츠만 읽고 살펴보려면 해당 강좌를 무료로 청강할 수 있습니다.

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