# Algebra for Engineers

## Course Package

(28 hours/6 courses): $129

### Course Outlines

**Algebra for Engineers:Method of Least Squares Part 2Curve Fitting with the Linear Model**

Four Hours

This 4-hour interactive online course is a presentation of the curve fitting in the sense of least squares. The method of least squares is a powerful tool when used with intelligence and understanding. It is a way of coming up with approximate answers to difficult questions in the area of data analysis.

The method in its various forms is used in business, finance, banking, engineering, and any other endeavours where data has to be trended, analyzed, or otherwise processed. This course is the second in a series on the least squares method. It is needed in order to gain hands on experience in curve fitting with linear functions.

We start with an explanation of the forms of the linear equation that are of interest to us. We use numerous examples of curve fitting. The course progresses through various ways to set up and then solve the normal equations.

Charts of appropriate nature are used to illustrate various problem areas and to highlight use of computer programs to compute and display charts of the results. The course also covers logarithmic transformation of a power function and its solution. This last example references the use of the least squares method in the development of the Steam and Gas Tables.

**Algebra for Engineers:Method of Least Squares Part 1Fundamentals**

Three Hours

The method of least squares is a powerful tool when used with intelligence and understanding. It is a way of coming up with information from approximate answers to difficult questions in the area of data analysis. The method in its various forms is used in business, finance, banking, engineering, and any other endeavours where data has to be trended, analyzed, or otherwise processed.

This 3-hour interactive online course is part one of a two part series and is a presentation of the “pieces and parts” needed to understand the method of least squares. It is needed in order to make sense of the curve fitting with linear functions, exponential functions, and power functions. We start out the journey with “Quadratic function minimum – method of least squares – theorem 1.” The course progresses through arithmetic mean definition, variance definition, and standard deviation - theorems and definitions. The course also covers origin transform, a device used to simplify data manipulation. The solution of systems of equations in the sense of least squares is derived and illustrated with examples.

**Algebra for Engineers & Others:Inductive Reasoning and Mathematical Induction**

Two Hours

In this 2-hour interactive online course, you will become acquainted with inductive reasoning as it applies to mathematics, engineering, science and other fields of endeavour. You will find out how to apply mathematical induction to the proof of certain types of hypotheses. In particular, you will have the start of knowing what mathematical sequences and series are, their relation to reach other and some of the particulars of their nomenclature. This will include definitions and some theorems. Indeed you will walk through the process of developing a mathematical statement with inductive reasoning and then prove that statement by mathematical induction.

**Algebra for Engineers & Others:Numbers**

Eight Hours

A clear picture of the various number systems and an understanding of their relationships to each other are essential to the successful and efficient use of these vital tools. This 8-hour online course is the first course in a series of Algebra courses. Its purpose is to systematically introduce you to number systems. The symbols of set theory will be used to show these relationships in some detail. We use the number system to the base ten for this exercise.

**Algebra Method of Least Squares:Part 3 Exponential and Power Functions**

Seven Hours

The method of least squares is a powerful way to analyze data. You can employ it in engineering, science, economics, and business to come up with useable approximate answers to difficult questions in data analysis. You'll use it where data has to be trended, analyzed, or otherwise processed. This interactive, online course is the last instalment in a three-part series featuring the least squares method. You will want this course in order to become expert in curve fitting with linear functions, exponential functions, and power functions. There is a large set of examples and exercises to teach you how to determine which equation form to use in a particular analysis. You will find extensive use of two tools while you are taking this course: the hand-held calculator and the Excel spreadsheet.

**Mathematics I: Algebra**

Four Hours

Engineers and other technical professionals take many math courses during their education and continue to use math throughout their careers. Most settle into using just a few routine math equations in their daily work, and a lot of the foundations of mathematical expertise tend to get rusty with time and disuse. This interactive online course is a review of the fundamentals of basic algebra equations and is presented as a refresher for practicing engineers. This informative course reviews the basic laws of algebra and how to solve different types of algebraic equations. This course also includes discussions on of the use of logarithms, data systems for graphing, equations for slope, and interpolation and extrapolation of data that will be useful to working professionals.

For more information about our **online learning opportunities** and advancing your career, or to purchase this course package, please contact **Judy Smith** at 1**-866-639-8727 x. 210** or email judy@globalriskinnovations.com.