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!
Review of rules of addition, subtraction, multiplication and division of fractions
Review how to add, subtract, multiply and divide with decimals
Review of rules of integer operations
Brief overview of the correct order of operations when operating real numbers
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.
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.
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.
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.
We will expand our ability to manipulate algebraic expressions using our mastery of order of operations and properties of real numbers.
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.
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.
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.
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.
Let us now combine both principles and solve equations in one variable.
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.
Using the principles we learned in earlier lectures, let us apply them and solve inequalities.
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!
Solving word problems
Learn to simplify the addition or subtraction of polynomials
Learn to multiply a combination of different types of polynomials, looking at special products of two binomials as well.
Do you understand how to add, subtract, multiply or even divide polynomials?
A few words of gratitude...
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.