What a Matrix is, order of a matrix, equality of matrices, different kind of matrices:
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Algebra Trig Review This review was originally written for my Calculus I class, but it should be accessible to anyone needing a review in some basic algebra and trig topics. These extra topics were included simply because they do come up on occasion and I felt like including them. The solution to the first problem in a set contains detailed information on how to solve that particular type of problem.
It was my intention in writing the solutions to make them detailed enough that someone needing to learn a particular topic should be able to pick the topic up from the solutions to the problems.
So, why did I even bother to write this?
The ability to do basic algebra is absolutely vital to successfully passing a calculus class. As you progress through a calculus class you will see that almost every calculus problem involves a fair amount of algebra.
Likewise, you will find that many topics in a calculus class require you to be able to basic trigonometry. In quite a few problems you will be asked to work with trig functions, evaluate trig functions and solve trig equations. Without the ability to do basic trig you will have a hard time doing these problems.
Most of the following set of problems illustrates the kinds of algebra and trig skills that you will need in order to successfully complete any calculus course here at Lamar University. The algebra and trig in these problems fall into three categories: Easier than the typical calculus problem, similar to a typical calculus problem, and harder than a typical calculus problem.
Which category each problem falls into will depend on the instructor you have. In my calculus course you will find that most of these problems falling into the first two categories. Depending on your instructor, the last few sections Inverse Trig Functions through Solving Logarithm Equations may be covered to one degree or another in your class.
However, even if your instructor does cover this material you will find it useful to have gone over these sections.
In my course I spend the first couple of days covering the basics of exponential and logarithm functions since I tend to use them on a regular basis.
This problem set is not designed to discourage you, but instead to make sure you have the background that is required in order to pass this course.
If you have trouble with the material on this worksheet especially the Exponents - Solving Trig Equations sections you will find that you will also have a great deal of trouble passing a calculus course.
Please be aware that this problem set is NOT designed to be a substitute for an algebra or trig course. As I have already mentioned I do not cover all the topics that are typically covered in an Algebra or Trig course. Most of the topics covered here are those that I feel are important topics that you MUST have in order to successfully complete a calculus course in particular my Calculus course.
You may find that there are other algebra or trig skills that are also required for you to be successful in this course that are not covered in this review. You may also find that your instructor will not require all the skills that are listed here on this review.
Here is a brief listing and quick explanation of each topic covered in this review. Exponents — A brief review of the basic exponent properties. Absolute Value — A couple of quick problems to remind you of how absolute value works. Radicals — A review of radicals and some of their properties.
Functions — Function notation and function evaluation. Multiplying Polynomial s — A couple of polynomial multiplication problems illustrating common mistakes in a Calculus class. Factoring — Some basic factoring.
Simplifying Rational Expressions — The ability to simplify rational expressions can be vital in some Calculus problems. Graphing and Common Graphs — Here are some common functions and how to graph them.The FESC, Flat Earth Society of Canada, Originally Started by Leo Ferrari is a Controlled Opposition Organization to Silence Shenton and Johnson's IFERS International Flat Earth Research Society.
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This is a quick review of many of the topics from Algebra and Trig classes that are needed in a Calculus class. The review is presented in the form of a series of problems to be answered. This page contains notes on Equation of SHM,Velocity and acceleration for Simple Harmonic Motion(SHM).
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