Fundamental Topics in Algebra Real Simple

Build a solid foundation in key topics necessary for successful completion of any college algebra course
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  • Lectures 24
  • Length 4.5 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 9/2015 English

Course Description

Many college-bound students find themselves unprepared for college mathematics courses. Universities nationwide are enrolling a greater proportion of their incoming freshman in developmental/remedial math courses. This course aims to present key fundamental math and algebra skills to help prepare you to succeed and be prepared for college-level mathematics courses.

Having a solid grasp of fundamental algebra skills will enrich your college math courses experiences. A variety of teaching techniques will keep you engaged, participating and asking relevant questions that will steer you away from memorizing and guide you to understanding. Study skills will be taught and constant assessment will be introduced to encourage memory retrieval and mastery.

This course is structured as a personal learning experience for the student who is learning these concepts for the first time. Video lectures, presentations, quiz assessments, examples demonstrated by audio and visual representations, review and exercises sheets in .pdf format are included to aid and reinforce your learning experience. A variety of examples ranging from easy to challenging problems are displayed and worked for the student to view and review as many times as needed. Each section is equipped with resources that can be printed as reference material and for the student to read and practice on their own. The student will be encouraged to complete assessments throughout course to grant immediate feedback as to how well the student is retaining and learning the information.

Most students for whom this course is designed will need to dedicate a minimum of one to two weeks depending on prior knowledge to complete course and complete the coursework provided for the maximum learning effect. Others who may be considered faster learners bringing prior knowledge to the table, may complete in as little as four days if minimal practice is exerted which I do not recommend.

Completing Fundamental Topics in Algebra Made Simple will help reduce the financial burden and time invested in college courses that serve as pre-requesites for college algebra courses. Reduce the anxiety and fear of taking another college math course by mastering key fundamental concepts that every college bound student needs to know. Along the way, receive the feedback few courses offer and guidance and engagement from a math professor who cares about your success and wants you to find ease and confidence in math. Join me on your journey to attaining a strong math foundation!

What are the requirements?

  • Some students approach mathematics with the passive idea of viewing the course as "a spectator" show/event. This is an active event: you will need as little as paper and pencil to join me on this journey to increase your skills. Couple this activity with a positive attitude and an open mind. Then, the world of mathematics becomes an open space where creativity and logic can help you solve problems and you can learn to appreciate its power and application.

What am I going to get from this course?

  • Grasp and apply key algebraic skills that are essential for college-level math courses
  • Reason, analyze and apply fundamental algebraic skills with greater confidence, ease and efficiency
  • Simplify any algebraic expression with real numbers using the proper order of operations
  • Solve equations and inequalities understanding how they can be used for problem-solving
  • Operate polynomials with the correct use of rules of exponents and proper techniques for all operations

What is the target audience?

  • Ever find yourself wondering what all those high school math courses were all about? Has it been a few years since you've had any kind of math and find yourself exploring the possibility of going back to college? Are you in a college-entry math course and find the pace overwhelming because certain algebra foundations are shaky or perhaps the professor is not taking the time to review skills you are supposed to come equipped with? If you answered yes to any of these, this course was designed specifically for you in mind. If you have successfully completed any Algebra I, II or advanced algebra class (achieving a grade of B or higher), this course will be too elementary for you. No prior algebra knowledge is required. However, you are advised to refresh your arithmetic skills as a very brief overview will be presented to merely remind you of such prerequisite.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction to the course
06:32

A deeper look at the instructor and the course and expectations of the student

02:31

Structure of the course; understanding the outline of the course and how to best navigate the course to learn the most from the course.

Section 2: Review of Foundational Arithmetic Skills
09:55

Review of rules of addition, subtraction, multiplication and division of fractions

05:23

Review how to add, subtract, multiply and divide with decimals

09:16

Review of rules of integer operations

09:53

Brief overview of the correct order of operations when operating real numbers

6 questions

Completing this quiz will help us gauge how prepared you are for the course. This first section is an overview and review for most of you; however, if you find yourself struggling with these skills, a handout will be provided in our resource section for you to master these skills before moving forward.

Section 3: Introduction to Real Numbers and Algebraic Expressions
09:37

The study of algebra involves the use of equations to solve problems. Equations are constructed from algebraic expressions. The purpose of this lecture is to introduce you to these expressions which you will continue to encounter in further algebra courses.

10:22

In order to manipulate algebraic expressions, there are governing properties which dictate what we can and not do. We will review these as our guidelines to work with algebraic expressions throughout the course.

05:34

Now that we have a grasp of what these expressions look like and what rules we must follow, we need to identify what we consider "like terms" in the world of algebra.

16:14

We will expand our ability to manipulate algebraic expressions using our mastery of order of operations and properties of real numbers.

08:34

Let us summarize the key concepts that we have learned in this section and put it all together in a real-life example. We will discuss methods that you can use to continue to reinforce what you have learned and provide you with review exercises for further practice.

5 questions

As you've been introduced to algebra, can you identify and apply the concepts and properties we've discussed? Let's take a look at how well you've understood Section 3.

Section 4: Solving Equations and Inequalities
14:08

A key principle to solving equations involves learning to add an equal value to both sides of an equation in order to keep it balanced.

09:07

A key principle to solving equations involves learning to multiply an equal value to both sides of an equation in order to keep it balanced.

21:04

Let us now combine both principles and solve equations in one variable.

15:29

One way to visualize the application of equations is using percentages. Let us take a close look how we can use equations involving percent to enhance our problem-solving skills.

11:34

Using the principles we learned in earlier lectures, let us apply them and solve inequalities.

18:03

What am I learning this for? Here's an exciting look at how equations and inequalities can be used to solve real-world problems! Now that you can solve equations and inequalities - let's us apply our skills and demonstrate mastery by translating phrases into algebraic equations/inequalities and finding solutions!

1 question

Solving word problems

Section 5: Polynomials and Their Operations
12:32
  • Understand the meaning of exponential notation
  • Evaluate exponential expressions
  • Apply the product rule of exponents
  • Apply the quotient rule of exponents
  • understand what the zero exponent
  • Express an expression with negative exponents with positive exponents
09:02
  • Evaluate a polynomials for a given value of the variable
  • Identify like terms in polynomial
  • Identify the coefficients in a polynomial
  • Identify the classification of monomial, binomial, trinomial or none
  • Collect like terms in a polynomial
14:25

Learn to simplify the addition or subtraction of polynomials

18:38

Learn to multiply a combination of different types of polynomials, looking at special products of two binomials as well.

20:18
  • Divide a polynomial by a monomial
  • Divide a polynomial by a binomial using long division
4 questions

Do you understand how to add, subtract, multiply or even divide polynomials?

Section 6: Conclusion
02:03

A few words of gratitude...

What lies ahead?
00:40

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Instructor Biography

Natalie Ayambem, Student-centered University Lecturer at Udemy

After completing BS and MS degrees in Mathematics from Baylor University and Virginia Tech respectively, I began my teaching career at Daemen College in upstate New York. This chosen career path subsequently saw me teaching at three North Carolina institutions; Johnson & Wales University, Central Piedmont Community College, and Wingate University where I was subsequently named the founding director of the University's Center for Teaching and Learning. In my capacity as center director, I helped create a conducive environment that fostered inter-disciplinary collaboration, guided faculty to resources that facilitated innovative/emerging teaching and learning tools and strategies, and worked with each department to promote general scholarship in teaching. Family ties then brought me to Philadelphia, teaching at West Chester University, where I continue my passion for breaking down challenging concepts and unlocking that mathematical competency that many of us don't realize already lurks within us.

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