MTH 220 All Participations

MTH/220

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https://uopcourses.com/category/mth-220-participations/

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MTH 220 Week 1 Course Introduction and Week 1 Overview

Welcome to MTH/220: College Algebra!

Students enter this course with many different backgrounds in math. Your classmates range from people who just finished high school algebra to people who may not have used algebra in over 30 years. It is important to put in a strong effort early to get off to a good start. Depending on your math background, this could require you putting in more time and effort than you might be used to in other classes.

The purpose of this week is to help you understand radicals, rational exponents, applications of radicals, and other commonly used mathematical tools. An example of a radical is a square root. Rational exponents and radicals are different ways of representing the same information. The use of radicals and rational expressions are not only important in solving polynomial equations and finding roots of numbers, but also in computer programing and in calculating interest rates in the financial industry.

MTH 220 Week 1 College Algebra, Ch. P, Sections P. 3: Radicals and Rational Exponents

During this reading you learn about radicals and rational exponents.  You learn about the rules that go along with simplifying radicals and how exponents and radicals work together. This chapter helps you with any step-by-step explanations of these concepts. Be sure to seek out any help if you find yourself stuck.

MTH 220 Week 1 College Algebra, Ch. 1, Sections 1.5-1.6: Equations and Inequalities

Ch. 1, Section 1.5-1.6 discusses quadratic equations. You factored quadratic equations in a previous math class. This reading helps you solve those types of equations that you were not able to factor. However, that is not all this chapter discusses. Section 6 talks about other types of polynomial equations including radical equations.

MTH 220 Week 1 College Algebra, Ch. 2, Sections 2.8: Functions and Graphs

Ch. 2, Section 8 discusses distance and midpoint formulas. These formulas are important to know as they will be used for applications. Be sure to focus your attention on pages 312-314. Remember if you get stuck to seek out help.

MTH 220 Week 1 Videos

Watch the Week 1 videos.

The weekly videos give you an opportunity to learn this week’s material in a format similar to a traditional faculty lesson presentation. The videos give an explanation of the weekly concepts and cover examples similar to the types of problems you will solve in this week’s assignments. It is highly recommended that you pause, rewind, and replay the videos as many times as needed to help you learn the material.

MTH 220 Week 2 Overview

In Week 1 we learned how to simplify radicals, solve rational equations, apply the quadratic formula, and how to find the midpoint and distance of line segments. This week we are working with lines that have a slight curve. Population growth, compound interest, and radioactive decay are just some examples of exponential functions. Exponential functions are useful in describing growth and decay. Logarithmic functions are useful in describing functions that have a large range (like pH and the Richter Scale). This week’s objectives are designed to allow you to create, analyze, and visualize exponential and logarithmic functions.

As you may have realized, this course moves at a fast pace. It is worth the sacrifice, hard work, and determination that is required to succeed. Use the assistance in the forms of videos, live labs, and tutoring that is available to you. You can do it!

MTH 220 Week 2 College Algebra, Ch. 3, Section 3.5

MTH 220 Week 2 College Algebra, Ch. 4, Sections 4.1-4.4: Exponential and Logarithmic Functions

This week’s chapter reading is very exciting. You get to learn what happens when x in the exponent spot (y = 4x).  I know that everyone is wondering how to solve for x. You are the lucky one! This week you learn about how exponents and logarithms complement one another, similar to addition and subtraction.

MTH 220 Week 2 Videos

Watch the Week 2 videos.

The weekly videos give you an opportunity to learn this week’s material in a format similar to a traditional faculty lesson presentation. The videos give an explanation of the weekly concepts and cover examples similar to the types of problems you will solve in this week’s assignments. It is highly recommended that you pause, rewind, and replay the videos as many times as needed to help you learn the material.

MTH 220 Week 2 Supplemental Videos

MTH 220 Week 3 Overview

In Week 1 we learned how to simplify radicals, solve rational equations, apply the quadratic formula, and how to find the midpoint and distance of line segments. Last week we learned about exponential and logarithmic functions and how they relate to each other. This week we switch gears to learn about how to solve for more than one variable when multiple equations are involved. As a society, we use systems of equations and inequalities frequently. Deciding which cell phone plan to purchase or even deciding whether to buy Amazon Prime or just pay the shipping costs for each purchase are a few examples. The purpose of this week is to have you create, analyze, and solve systems of equations and inequalities, both by hand. The use of matrices allows you to take a data analytical approach to solve systems of equations.

We are at the halfway point of this class. While the material in this course is challenging, you can learn it with enough determination. Do not hesitate to ask for help when you need it.

MTH 220 Week 3 College Algebra, Ch. 5, Sections 5.1 & 5.4-5.5: Systems of Equations and Inequalities

Have you ever wondered how manufacturers decide how big to make their cereal boxes? In Ch. 5 you learn how companies use systems of equations and inequalities to make these big decisions. I hope this reading inspires you to want to know more.

MTH 220 Week 3 College Algebra, Ch. 6, Sections 6.1 & 6.3: Matrices and Determinants

MTH 220 Week 3 Videos

Watch the Week 3 videos.

The weekly videos give you an opportunity to learn this week’s material in a format similar to a traditional faculty lesson presentation. The videos give an explanation of the weekly concepts and cover examples similar to the types of problems you will solve in this week’s assignments. It is highly recommended that you pause, rewind, and replay the videos as many times as needed to help you learn the material.

MTH 220 Week 4 Overview

In Week 1 we learned how to simplify radicals, solve rational equations, apply the quadratic formula, and how to find the midpoint and distance of a line segments. In Week 2 we learned about exponential and logarithmic functions and how they relate to each other. Last week we learned how to solve systems of equations by hand. This week is all about patterns. Whether it is finding the full value of a contract or writing computer code, recognizing and analyzing patterns is an important aspect of everyday life. The purpose of this week’s objectives is to recognize and analyze arithmetic and geometric sequences and series. Real-life applications of each objective will be stressed during this week.

Each week we have added more math tools and skills so that we can apply math to a greater variety of real-world applications. The concepts in this week require skills that you may have never used before. By focusing yourself to overcome the difficulties of learning the material, you increase your ability to think critically and overcome a greater variety of challenges in life. You are almost to the finish line for this course! Keep going strong!

MTH 220 Week 4 College Algebra, Ch. 8, Sections 8.1-8.3: Sequences, Induction, and Probability

In nature sequences are everywhere, from bee hives to pedals on flowers. In Ch. 8 you learn about these patterns within mathematics.  This chapter will get you thinking about the world around you and how these sequences and series happen all the time. Even if you have never noticed, you may notice after reading sections 8.1-8.3.

MTH 220 Week 4 Videos

Watch the Week 4 videos.

The weekly videos give you an opportunity to learn this week’s material in a format similar to a traditional faculty lesson presentation. The videos give an explanation of the weekly concepts and cover examples similar to the types of problems you will solve in this week’s assignments. It is highly recommended that you pause, rewind, and replay the videos as many times as needed to help you learn the material.

MTH 220 Week 4 Arithmetic Sequences

Identifying an arithmetic sequence

Given any sequence, how can we determine if it is an arithmetic sequence?

MTH 220 Week 4 An application of a geometric sequence

Suppose you buy a new car for \$18,000. At the end of n years, the value of your car is given by the sequence vn = 18000(3/4)n, n = 1, 2, 3, …..Find the fifth term and explain what this value represents. Describe the nth term of the sequence in terms of the value of your car at the end of each year.

MTH 220 Week 4 College Algebra, Ch. 8, Sections 8.1-8.3

MTH 220 Week 5 College Algebra, Ch. 8, Sections 8.1 & 8.6-8.7

MTH 220 Week 5 Methods of Counting

Permutation versus Combination

How can you determine if we need to use a combination or permutation to count the number of outcomes? Which will usually have more outcomes? Why?

Example:

Suppose that there are ten runners competing in an event with prizes for first, second, and third place. How many outcomes are possible?

MTH 220 Week 5 The Fundamental Principle of Counting

The Multiplication Principle

How does a tree diagram relate to the Fundamental Counting Principle? Which is more convenient? Why?

MTH 220 Week 5 Videos