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1 SAULT COLLEGE OF APPLIED ARTS AND TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE COURSE TITLE: Algebra CODE NO. : SEMESTER: Two PROGRAM: AUTHOR: General Arts & Science The Mathematics Department DATE: January 2010 PREVIOUS OUTLINE DATED: APPROVED: B. Punch CHAIR TOTAL CREDITS: 4 January 2009 DATE PREREQUISITE(S): HOURS/WEEK: None 4 hrs./week Copyright 2010 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 Brian Punch, Chair, School of Natural Environment/Outdoor Studies & Technology Programs (705) , Ext. 2681

2 2 I. COURSE DESCRIPTION: This course builds on the student s algebra skills and applies these skills in the context of business, life, and the social sciences. The topics of study include equations and inequalities, analysis of polynomial, rational, exponential, and logarithmic functions, systems of equations and inequalities, matrices, mathematics of finance, and introductory probability theory. II. TOPICS: 1. Graphs, Equations, and Inequalities 10 hours 2. Polynomials and Rational Functions 11 hours 3. Exponential and Logarithmic Functions 8 hours 4. Mathematics of Finance 8 hours 5. Systems of Linear Equations and Matrices 11 hours 6. Sets and Probability 12 hours III. LEARNING ACTIVITIES: 1.0 Graphs, Equations, and Inequalities Pages Exercises 1.1 Graphs pp pp Equations of lines pp pp Linear models pp pp Quadratic equations pp pp Linear inequalities pp pp Polynomials and rational inequalities pp pp Polynomials and Rational Functions 2.1 Functions pp pp Graphs of functions pp pp Applications of linear functions pp pp Quadratic functions pp pp Applications of quadratic functions pp pp Polynomial functions pp pp Rational functions pp pp Exponential and Logarithmic Functions 3.1 Exponential functions pp pp Applications of exponential functions pp pp Logarithmic functions pp pp Logarithmic and exponential functions pp pp Mathematics of Finance 4.1 Simple interest and discount pp pp

3 3 4.2 Compound interest pp pp Future value of an annuity and sinking pp pp funds 4.4 Present value of an annuity and amortization pp pp Systems of Linear Equations Pages Exercises 5.1 Systems of linear equations pp pp The Gauss-Jordan Method pp pp Basic matrix operations pp pp Matrix products and inverses pp pp Applications of matrices pp pp Sets and Probability 6.1 Sets pp pp Applications of Venn diagrams pp pp Introduction to probability pp pp Basic concepts of probability pp pp Conditional probability and pp pp independent events 6.6 Permutations and combinations pp pp Applications of counting pp pp Markov chains pp pp IV. REQUIRED RESOURCES/TEXTS/MATERIALS: 1. Mathematics with Applications, 9 th Edition, Lial and Hungerford, Addison and Wesley Publishers 2. Calculator: SHARP Scientific Calculator EL-531W. The use of some kinds of calculators may be restricted during tests. V. EVALUATION PROCESS/GRADING SYSTEM: ATTENDANCE It is your responsibility to attend all classes during the semester. Research indicates there is a high correlation between attendance and student success. If you are absent from class, it is your responsibility to find out what work was covered and assigned and to complete this work before the next class. Your absence indicates your acceptance of this responsibility.

7 7 Attendance: Sault College is committed to student success. There is a direct correlation between academic performance and class attendance; therefore, for the benefit of all its constituents, all students are encouraged to attend all of their scheduled learning and evaluation sessions. This implies arriving on time and remaining for the duration of the scheduled session

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