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Pre-Calculus: Functions

总览授课大纲常见问题解答制作方价格评分和审阅

主页数学和逻辑

Pre-Calculus: Functions

加州大学尔湾分校

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:  加州大学尔湾分校
加州大学尔湾分校

  • Dr.  Sarah Eichhorn

    教学方:  Dr. Sarah Eichhorn, Associate Dean, Distance Learning & Tenured Lecturer


  • Dr. Rachel Cohen Lehman

    教学方:  Dr. Rachel Cohen Lehman

级别Intermediate
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
4.7 星
平均用户评分 4.7查看学生的留言
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 视频, 3 阅读材料
  1. Leyendo: Syllabus
  2. Leyendo: Quiz Notation
  3. 视频: Introduction to Algebra and Geometry
  4. Leyendo: Algebra Review: Readings and Exercises
  5. 视频: Properties of Integer Exponents
  6. 视频: Adding and Subtracting Polynomials
  7. 视频: Multiplication of Binomials
  8. 视频: Multiplication of Polynomials
  9. 视频: Multiple Operations with Polynomials
  10. 视频: Rational Exponents
  11. 视频: Simplified Radical Form
  12. 视频: Square Root Addition and Subtraction
  13. 视频: Multiplication Involving Square Roots
  14. 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 视频, 3 阅读材料
  1. Leyendo: Linear Equations and Inequalities I: Reading and Exercises
  2. 视频: Solving Linear Equations
  3. 视频: Algebraic Symbol Manipulation
  4. 视频: Linear Word Problems
  5. 视频: Percentage Word Problems
  6. 视频: Area and Perimeter Word Problems
  7. Leyendo: Linear Equations and Inequalities II: Readings and Exercises
  8. 视频: Distance-Rate-Time
  9. 视频: Mixture Problems Using Linear Equations
  10. 视频: Solving a Linear Inequality
  11. 视频: Compound Inequalities
  12. 视频: Linear Inequality Word Problems
  13. Leyendo: Absolute Value Equations and Inequalities: Readings and Exercises
  14. 视频: Absolute Value Equations
  15. 视频: Absolute Value Inequalities
  16. 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 视频, 1 阅读材料
  1. Leyendo: Quadratic Equations: Readings and Exercises
  2. 视频: Introduction to Polynomials and Rational Functions
  3. 视频: Factoring a Quadratic Expression
  4. 视频: Special Factoring Formulas
  5. 视频: Factoring by Grouping
  6. 视频: Solving a Quadratic Equation
  7. 视频: Discriminant
  8. 视频: Quadratic Formula
  9. 视频: Solving a Quadratic Equation - Completing the Square
  10. 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 视频, 1 阅读材料
  1. Leyendo: Rational Expressions: Readings and Exercises
  2. 视频: Simplifying Fractions
  3. 视频: Simplifying a Ratio of Polynomials
  4. 视频: Adding and Subtracting Rational Expressions
  5. 视频: Multiplying Rational Expressions
  6. 视频: Dividing Rational Expressions
  7. 视频: Square Root Property
  8. 视频: Solving Rational Equations, Part 1
  9. 视频: Solving Rational Equations, Part 2
  10. 视频: Solving an Equation Quadratic in Form
  11. 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 视频, 3 阅读材料
  1. Leyendo: Functions: Readings and Exercises
  2. 视频: Introduction to Functions & Graphs
  3. 视频: Relations versus Functions
  4. 视频: Functions and the Vertical Line Test
  5. 视频: Domain
  6. 视频: Evaluating Functions
  7. Leyendo: Graphs of Functions
  8. 视频: Finding the Domain and Range from a Graph
  9. 视频: Domain and Intercepts
  10. 视频: Difference Quotient
  11. 视频: Piecewise-Defined Functions
  12. Leyendo: Transformation of Functions: Readings and Exercises
  13. 视频: Increasing/Decreasing/Constant
  14. 视频: Graph Transformations, Part 1
  15. 视频: Graph Transformations, Part 2
  16. 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 视频, 3 阅读材料
  1. Leyendo: Quadratic Functions: Readings and Exercises
  2. 视频: Equations of Quadratic Functions
  3. 视频: Converting a Quadratic Function from Standard to Vertex Form
  4. 视频: Graphing a Parabola, Part 1
  5. 视频: Graphing a Parabola, Part 2
  6. 视频: Maximum/Minimum Quadratic Function Word Problems
  7. 视频: Quadratic Inequalities
  8. Leyendo: Inverse Functions: Readings and Exercises
  9. 视频: Finding the Inverse of a Function
  10. 视频: Inverse Functions
  11. 视频: Verifying Inverse Functions
  12. Leyendo: Polynomials: Readings and Exercises
  13. 视频: Polynomial Long Division
  14. 视频: Synthetic Division
  15. 视频: Properties of Polynomials
  16. 视频: Remainder Theorem
  17. 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 视频, 2 阅读材料
  1. Leyendo: Exponentials and Logarithms: Readings and Exercises
  2. 视频: Introduction to Exponential & Logarithmic Functions
  3. 视频: Solving Exponential Equations
  4. 视频: Change of Base Formula for Logarithms
  5. 视频: Converting Between Logarithmic and Exponential Equations
  6. 视频: Properties of Logarithms
  7. Leyendo: Exponential and Logarithmic Equations and Graphs: Readings and Exercises
  8. 视频: Evaluating Logarithmic Expressions
  9. 视频: Solving Logarithmic Equations
  10. 视频: Exponential Graphs
  11. 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
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    制作方
    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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    评分和审阅
    已评分 4.7,总共 5 个 262 评分

    LC

    thank you very much

    Robby Allsopp

    No especially revelatory or creative teaching methods, but the course was straightforward and effective.

    CC

    too easy

    SB

    Useful.



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