SAULT COLLEGE OF APPLIED ARTS AND TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE Course Title: Technical Mathematics I Code No.: OEL806 Semester: Program: Engineering Technician & Technology Programs Author: Mathematics Department Date: April 2009  Previous Outline Dated: Jan 2008 Approved: Total Credits: 4 Prerequisite(s): None Length of Course: 4 hours/week Total Credit Hours: 64 Copyright ©2005 The Sault College of Applied Arts & Technology Reproduction of this document by any means, in whole or in part, without prior written permission of Sault College of Applied Arts & Technology is prohibited. For additional information, please contact School of Continuing Education, Contract Training and Hospitality, (705)759-2554, Ext. 405

I. COURSE DESCRIPTION:

This first level mathematics course for engineering technology programs begins with a review of fundamental concepts including arithmetic operations and concepts in measurement. This is followed by several algebra topics including linear equations, factoring, fractions and quadratic equations. A treatment of trigonometry of right triangles, the trigonometric functions of any angle and of oblique triangles is also included.

The goals of this course are, first, to show that mathematics does play a most important role in the development and understanding of the various fields of technology and, secondly, to ensure that students acquire the mathematical and critical thinking skills necessary to analyze and solve engineering technology problems.

II. LEARNING OUTCOMES & ELEMENTS OF THE PERFORMANCE:

Upon successful completion of this course, the student will demonstrate the ability to:

Topic 1: Basic Algebraic Operations

1. Perform basic arithmetic operations on signed numbers.
2. Take powers, roots, and reciprocals of signed numbers and algebraic quantities.
3. Convert numbers between decimal and scientific notation.
4. Simplify expressions by removing grouping symbols and combining like terms.
5. Add, subtract, multiply, and divide algebraic expressions.
6. Solve simple linear equations, and solve literal equations for the indicated letter.

1. Convert units of measurement from one system to another.
2. Perform basic arithmetic operations on approximate numbers.

1. Convert angles between decimal degrees, radians, and degrees, minutes and seconds.
2. Find the trigonometric functions of an angle.
3. Find the missing sides and angles of a right triangle.
4. Solve practical problems involving the right triangle.

1. Find an approximate graphical solution to a system of two equations.
2. Solve a system of two equations and two unknowns by the addition-subtraction methods and by the substitution method.
3. Solve a system of two equations in two unknowns or three equations in three unknowns using addition/subtraction, or determinants.

1. Factor expressions by removing common factors.
2. Factor binomials that are the difference of the two squares.
3. Factor trinomials.
4. Reduce algebraic fractions.
5. Add, subtract, multiply and divide algebraic fractions.
6. Solve fractional equations.

1. Solve by factoring.
2. Solve by using the Quadratic Formula.

1. Identify the algebraic sign of a given trigonometric function for an angle in any quadrant.
2. Find a trigonometric function for any angle using a calculator.
3. Convert angles between radians, degrees and revolutions.

1. Determine the resultant of two or more vectors.
2. Resolve a vector into its components.
3. Solve applied problems requiring vectors.
4. Solve oblique triangles using the law of sines and the law of cosines.
5. Solve applied problems requiring oblique triangles.

III. TOPICS:
Topic numbers do not correspond with the module numbers in the web course.

	Approximate Time
Topic 1: Basic Algebraic Operations	10 hours
Topic 2: Units of Measurement	6 hours
Topic 3: The Trigonometric Functions	10 hours
Topic 4: Systems of Linear Equations	7 hours
Topic 5: Factoring and Fractions	11 hours
Topic 6: Quadratic Equations (excluding Completing the Square)	6 hours
Topic 7: Trigonometric Functions of any Angle	5 hours
Topic 8: Vectors and Oblique Triangles	9 hours

IV. REQUIRED RESOURCES/TEXTS/MATERIALS/SOFTWARE/TECHNOLOGY:

1. Basic Technical Mathematics with Calculus (8th Edition), SI Version, Allyn J. Washington. Addison-Wesley, Pearson, 2005. ISBN: 013198181. Package includes MyMathLab and Student Solutions Manual.

OR

2. Basic Technical Mathematics with Calculus (9th Edition), SI Version, Allyn J. Washington. Addison-Wesley, Pearson, 2009. ISBN: 0135094712. Package includes MyMathLab and Student Solutions Manual.
   
3. Calculator: (Recommended)
a) Electrical, Electronics, Computer Engineering – SHARP Scientific Calculator EL-506L
b) Civil, Architectural Engineering – SHARP Scientific Calculator EL-531

Note: The use of programmable calculators is restricted during the final exam.

4. Speakers and a sound card are required in order to access the lectures.

Students can purchase the books from www.textnet.ca

V. EVALUATION PROCESS/GRADING SYSTEM:

There are four online tests, each of equal value and weight and will be averaged out to a total of 50%. There is one proctored written final exam, valued at 50%. The online tests and final exam are open book.

Passing grade at Sault College is 50%. Your registering college will convert the percentage grade to the letter grade.

VII. SPECIAL NOTES:

1. If you are a student with a disability please identify your needs to the tutor and/or the Centre for Students with Disabilities at your registering college.
2. Students, it is your responsibility to retain course outlines for possible future use to support applications for transfer of credit to other educational institutions.
3. Course outline amendments: The Professor reserves the right to change the information contained in this course outline depending on the needs of the learner and the availability of resources.