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Many collegebound 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 collegelevel 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 prerequesites 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!
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Section 1: Introduction to the course  

Lecture 1  06:32  
A deeper look at the instructor and the course and expectations of the student 

Lecture 2  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  
Lecture 3  09:55  
Review of rules of addition, subtraction, multiplication and division of fractions 

Lecture 4  05:23  
Review how to add, subtract, multiply and divide with decimals 

Lecture 5  09:16  
Review of rules of integer operations 

Lecture 6  09:53  
Brief overview of the correct order of operations when operating real numbers 

Quiz 1  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  
Lecture 7  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. 

Lecture 8  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. 

Lecture 9  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. 

Lecture 10  16:14  
We will expand our ability to manipulate algebraic expressions using our mastery of order of operations and properties of real numbers. 

Lecture 11  08:34  
Let us summarize the key concepts that we have learned in this section and put it all together in a reallife 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. 

Quiz 2  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  
Lecture 12  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. 

Lecture 13  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. 

Lecture 14  21:04  
Let us now combine both principles and solve equations in one variable. 

Lecture 15  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 problemsolving skills. 

Lecture 16  11:34  
Using the principles we learned in earlier lectures, let us apply them and solve inequalities. 

Lecture 17  18:03  
What am I learning this for? Here's an exciting look at how equations and inequalities can be used to solve realworld 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! 

Quiz 3  1 question  
Solving word problems 

Section 5: Polynomials and Their Operations  
Lecture 18  12:32  


Lecture 19  09:02  


Lecture 20  14:25  
Learn to simplify the addition or subtraction of polynomials 

Lecture 21  18:38  
Learn to multiply a combination of different types of polynomials, looking at special products of two binomials as well. 

Lecture 22  20:18  


Quiz 4  4 questions  
Do you understand how to add, subtract, multiply or even divide polynomials? 

Section 6: Conclusion  
Lecture 23  02:03  
A few words of gratitude... 

Lecture 24 
What lies ahead?

00:40 
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 interdisciplinary 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.