MATH 1110-002: College Algebra Department of Mathematical and Statistical Sciences College of Liberal Arts and Sciences, University of Colorado Denver COURSE SYLLABUS
MATH 1110-002: College Algebra Department of Mathematical and Statistical Sciences College of Liberal Arts and Sciences, University of Colorado Denver COURSE SYLLABUS Instructor:Fareed OmarTerm: Office:AB1-4021Class Meeting Days: Mondays & Wednesdays Phone:Class Meeting Times: 1:15 – 3:45 E-Mail:o_fareed@Location: Website: Canvas- Summer 2016 NC 1326 Office Hours: M/W 3:50-4:20 pm AB1 4021 Associate Chair: Stephen Billups; ; ; AB1- 4221 COURSE OVERVIEW I. Course Description This is a mathematics course that was designed to fulfill the CORE University requirements. The topics in algebra are designed for students who intend to take the calculus sequence. Functions, domains, ranges, graphs, data scatter plots and curve fitting, solving equations and systems of equations, polynomial functions, rational functions, and selected other topics are explored. Graphic calculators and/or computer algebra systems are used extensively. Applications are emphasized. Note: No co-credit with either MATH 1070 or 1130. Semester Hours: 3 II. Course Prerequisites It must be assumed that every student has a good understanding of the mathematical concepts in an intermediate Algebra course or a good Advanced Algebra course in high school. An assignment will be administered during the first week of the course (skills inventory) to help you gauge your readiness for the rigor of the mathematics content. While this assignment will not determine mandatory placement it should be used as a guide to help you determine whether this class is the right fit for your current mathematical abilities. III. Course Rationale This course is designed to help students understand the fundamental concepts of algebra and to show how algebra can be used to model real-world problems. The important ideas of calculus will be foreshadowed and the use of technology will be used to efficiently facilitate the understanding of important algebraic concepts. Students will attain a deeper understanding of how mathematics relates to the world around them and prepare themselves for further study in calculus and mathematics. IV. Required Texts and Materials Algebra and Trigonometry Enhanced with Graphing Utilities (6th Edition) by Sullivan and Sullivan. An eBook is available and recommended for purchase since we will be utilizing the associated MyMathLab software. Option 1 - Textbook (3-Hole Punched) plus MyMathLab Access Code or Option 2 - E-book plus MyMathLab Access CodeTo access MyMathLab go to . Under the Register tab click on Student. Next click on the ‘OK! Register Now’ button. You will need your University email address (which you check regularly), the Course ID which is: fareed99014 and either a student access code or a valid credit card. If you purchased the text new at the bookstore it will have a student access code which gives you access to the homework software. If you use a credit card to purchase the software it comes with an eBook which you can use for the class. V. Course Goals and Learning Objectives CORE Learning Outcomes 1. Calculate: Accurately and logically manipulate a mathematical representation to attain desired information. 2. Represent: Able to translate between representations to clearly represent information and gain insight. Representations may be expressed symbolically, graphically, numerically, or verbally. 3. Interpret: Draw meaningful inferences and communicate insights from mathematical representations. Mathematical representations may include statistical, graphical, algebraic, geometric, or symbolic. 4. Model: Develop and/or apply an appropriate mathematical model for a real-world problem. This can be demonstrated by e.g. developing a model, choosing an appropriate model from several, or explaining the primary assumptions needed to use a particular model. Course Learning Outcomes MATH 1110 The following section lists the Learning Outcomes specific to the course (MATH 1110). Each Learning Outcome reflects one or more of the CORE Learning Outcomes. Graphs, Equations, and Inequalities – Chapter 1 Students will be able to… Solve equations graphically (Interpret) Solve quadratic equations by factoring, square root method, completing the square, quadratic formula (Calculate) Solve radical equations and absolute value equations algebraically (Calculate) Graphs – Chapter 2 Students will be able to… Find intercepts of linear and quadratic functions algebraically (Calculate) Find intercepts of linear and quadratic functions graphically (Interpret) Calculate the slope of a line and write the equation of a line in slope-intercept form (Calculate) Interpret the slope and intercepts of a line (Interpret) Graph lines by hand given a point and the slope (Represent) Graph lines written in general form (Represent) Find the equation of a line given a point and the slope of the line, or given two points on the line (Calculate) Find the equation of vertical and horizontal lines (Calculate) Find the equation of perpendicular and parallel lines (Calculate) Write the standard form of the equation of a circle by completing the square (Calculate) Graph circles whose equations are given in standard form (Represent) Functions and Their Graphs – Chapter 3 Students will be able to… Determine whether a relation represents a function (Interpret) Evaluate functions (Calculate)
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