MATH 1314 INSTRUCTOR: Alan Roemer Email Address: droemer@wc.edu; aroemer@weatherfordisd.com Cell phone: 817-988-7987 Office Hours: Mornings - Monday, Wednesday, Friday: 7:40 8:10 Megalunch - Wednesday & Friday B Block 11:11 11:41 Afternoons - Monday-Wednesday 3:50 4:30 Learning Center - Thursday 6:00 8:00 COURSE TITLE: College Algebra COURSE DESCRIPTION: In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. This course includes the study of linear, quadratic, polynomial, logarithmic, and exponential functions and their graphs; characteristics of other basic functions, graphing techniques, and operations on functions; systems of equations; and matrices. (Attendance policy is included in this section). PRE-REQUISITE: Either a C or better in MATH 0303 Precollege Algebra, a C or better in MATH 0402 Developmental Mathematics, or fulfillment of TSI requirements with minimum scores of 2200 on TAKS, 230 on THEA, or 51A on Compass. LAB FEES: $24 TEXTBOOK: College Algebra, 11th Ed., Lial, Hornsby, Schneider, and Daniels, Pearson-Addison-Wesley, 2013. ISBN# 1-269-401653 MyNotes workbook and MyLabsPlus access code. **Required for ALL MATH 1314 courses: MyLabsPlus Access Code. You must have a plus code. The regular MyMathLab codes will not work for this course. The access code comes with an E-book that can be accessed within our MyLabsPlus course. The bundled text with plus access code can be purchased from the WC bookstore. This bundle is specific to Weatherford College and has special pricing. The stand-alone access code can be purchased from the WC bookstore or purchased on the MyLabsPlus site once the term starts SUPPLIES: A calculator will not be used for the final exam. Purchase of MyLabsPlus access code is required. Required Student Learning Outcomes: Upon successful completion of this course, students will: 1. Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses. 2. Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations. 3. Apply graphing techniques. 4. Evaluate all roots of higher degree polynomial and rational functions. 5. Recognize, solve and apply systems of linear equations using matrices. LEARNING OUTCOMES: Upon successful completion of this course, students will: 1.0 Recognize and apply Linear and Quadratic Functions and solve related equations. 2.0 Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses. 3.0 Recognize and apply Polynomial and Rational Functions and solve related equations. 4.0 Recognize and apply exponential and logarithmic functions and solve related equations 5.0 Recognize, solve and apply systems of linear equations using matrices.
6.0 (Optional) Sequences and Series. 7.0 (Optional) Conics and Probability. COURSE COMPETENCIES: 1.0 To demonstrate competency in recognizing and applying linear and quadratic functions, a student should be able to: 1.1 Solve linear equations. 1.2 Solve quadratic equations using factoring, square root property, completing the square, the quadratic formula, and substitution. Include complex solutions. 1.3 Use the discriminant to describe solutions to quadratic equations. 1.4 Solve applied problems involving linear and quadratic equations. 1.5 Add subtract, multiply, divide, and simplify complex numbers. 2.0 To demonstrate competency in demonstrating and applying knowledge of properties of functions, including domain and range, operations, compositions, and inverses, a student should be able to: 2.1 Define and identify relations and functions. 2.2 Determine the domain and range of a function. 2.3 Evaluate functions using function notation. 2.4 Graph linear functions using points, intercepts, and slope. 2.5 Find the slope of a line and interpret slope as an average rate of change. 2.6 Determine the intervals for which a function is increasing, decreasing, or constant. 2.7 Determine the intervals for which a function is continuous. 2.8 Find the average rate of change between two values of a function. 2.9 Use functions to model data. 2.10 Identify characteristics and evaluate piecewise-defined functions. 2.11 Graph basic functions using translations. 2.12 Identify symmetry of the graph of a function. 2.13 Determine whether a function in even or odd. 2.14 Find the sum, difference, product, and quotient of functions. 2.15 Determine the difference quotient. 2.16 Find the composition of functions and determine the effect on domain. 3.0 To demonstrate competency in recognizing and applying polynomial and rational functions, a student should be able to: 3.1 Determine domain and range. 3.2 Identify increasing, decreasing, and constant functions. 3.3 Graph quadratic functions. 3.4 Find and use the vertex of a quadratic function in an application. 3.5 Use long division and synthetic division algorithms for polynomials. 3.6 Determine zeros and factors of functions using a variety of algebraic techniques. 3.7 Determine the value of a polynomial function using the remainder theorem. 3.8 Sketch the graph of a polynomial function. 3.9 Use the intermediate value theorem for polynomial functions. 3.10 Determine the asymptotes of a rational function. 3.11 Sketch the graph of a rational function. 3.12 Create a polynomial function given zeros of the function. 4.0 To demonstrate competency in recognizing and applying exponential and logarithmic functions, a student should be able to: 4.1 Identify characteristics and determine the inverse of a function. 4.2 Evaluate exponential and logarithmic functions. 4.3 Expand and condense expressions using logarithmic properties. 4.4 Relate logarithmic and exponential functions. 4.5 Determine the graph of logarithmic and exponential equations.
4.6 Solve exponential and logarithmic equations. 4.7 Solve problems consisting of exponential and logarithmic applications. 5.0 To demonstrate competency in recognizing, solving and applying systems of linear equations using matrices, a student should be able to: 5.1 Solve linear and non-linear systems of equations using algebraic techniques. 5.2 Solve systems of equations using the Gauss-Jordan elimination. 5.3 Determine the solution of a system of inequalities. 5.4 Relate solving equations and inequalities to linear programming applications. 5.5 Solve application problems using systems of equations. 5.6 Apply properties of matrices and perform basic operations. 6.0 (Optional) To demonstrate competency in sequences and series, a student should be able to: 6.1 Find elements of sequences and series. 6.2 Evaluate a finite and convergent infinite series. 6.3 Find elements of an arithmetic and geometric series. 6.4 Find the sum of terms in an arithmetic and geometric series. 6.5 Solve application problems using sequences and series. 7.0 (Optional) To demonstrate competency in conics and probability, a student should be able to: 7.1 Identify characteristics and forms of equations of parabolas, ellipses, and hyperbolas. 7.2 Graph and give the domain and range of horizontal parabolas, ellipses, and hyperbolas. 7.3 Write the equations for parabolas, ellipses, and hyperbolas. 7.4 Apply the fundamental principle of counting, permutation formulas, and combination formulas. 7.5 Discuss basic concepts of probability including outcomes and sample spaces. 7.6 Illustrate probability concepts using Venn diagrams. 7.7 Determine the probability of single events, unions of events, and binomial experiments. EVALUATION STANDARDS: These course learning outcomes and course competencies will be assessed through the administration of a minimum of 3 in-class exams (65%), quizzes and/or homework (including MyLabsPlus) (15%), and a comprehensive, departmental final exam (20%). No calculators will be allowed on the final exam. All final exam answers will be exact. GRADING KEY: 100-90 = A 89-80 = B 79-70 = C 69-60 = D 59-below = F GRADING STANDARDS: A - Student s work is exceptional and consistently above average. B - Student s work is above average. Required assignments were completed in a timely manner and have met at least the minimum required standards. C - Student s work is acceptable. Majority of assignments meet the minimum required standards. D - Student s work fails to meet the minimum requirements for a grade of "C." Overall performance was sub-standard in comparison to normal expectations for this class. F - Student s work is clearly unacceptable. Student either did not attempt the work or failed to meet any of the minimum required standards. ACADEMIC INTEGRITY STATEMENT: Academic Integrity is fundamental to the educational mission of Weatherford College and the College expects its students to maintain high standards of personal and scholarly conduct. Academic dishonesty includes, but is not limited to, cheating on an examination or other academic work, plagiarism, collusion, and the abuse of resource materials. Any student who is demonstrated to have engaged in any of these activities will be subject to immediate disciplinary action in accordance with institutional procedures.
ADA STATEMENT: Any student with a learning disability who requests reasonable accommodations must do so through Student Services (817) 598-6350, at the beginning of each semester. CAMPUS RESOURCES FOR STUDENTS: The Success Connection - A free public tutoring service provided by the college, offered in LART- LL Room 2, 817-598-6278 Instructional videos Computer assisted instruction Instructor s office hours First Day of Class Student Login Instructions Getting Started: 1. Go to the Weatherford College MyLabsPlus campus: http://wc.mylabsplus.com Use Mozilla Firefox or Google Chrome for your browser. 2. Your login name is your 8-digit student ID, and your password is your birthdate (MMDDYYYY). 3. The MyLabsPlus access code you purchased from the bookstore with your textbook or purchase on line with a credit card once you enter the course. Click on the name of your course in the course list. If your course name does not appear, contact your instructor. 4. Click on an assignment or learning aid link within the course. You will first be prompted with the License Agreement and Privacy Policy page. Click I Accept once you have read the terms of use. You will be prompted to enter your access code or purchase online. To enter your access code, select the Access Code option, enter your code, and click Next. 5. Note: A Temporary Access code is available by clicking on the Temporary Access tab. Please note that this code is only good for 21 days. After the 21 days you will be required to purchase an access code. If you prefer to purchase online using a credit card, select the Buy Now option and click the product link to complete your purchase. Once you have successfully entered your access code or completed an online purchase, you will receive a confirmation page and you can continue working. Trouble Shooting MyLabsPlus works best when using either Mozilla Firefox or Google Chrome browsers (not Windows Explorer). If you ever have trouble logging into your course, it is suggested that you clear your browser. If you need additional technical support, please select the Help tab at your school s MyLabsPlus campus.