MTH 167 Pre Calculus I (Spring 2015) 3 credits. Department of Mathematics at Cleveland State University

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1 MTH 167 Pre Calculus I (Spring 2015) 3 credits Department of Mathematics at Cleveland State University Section 1 - MWF 12:25pm 1:15pm MC 304 or RT 403. Prof. Feister ALEKS course code: PHMDL-HHXJJ Financial Aid code: 69E88-A96EC-6A2BC-502F3 (The financial aid code grants access to ALEKS for 2 weeks.) Instructor: Brian Feister Office: RT 1539 Phone: b.feister@csuohio.edu Office Hours: TBA or by appointment. SPT: Lindsay Pier l.pier@vikes.csuohio.edu Prerequisite: A grade of C or better in MTH 115 or suitable placement-test score. Textbook: PreCalculus: Graphs and Models, 1st edition by Coburn and Herdlick. Content covered: See end of syllabus for a complete list of topics and weekly schedule. Required Software: ALEKS 360 (ALEKS access can be purchased with textbook online option). You are required to purchase an access code for the ALEKS system by the second week of class. This can be purchased directly from the website or at the bookstore. ALEKS stands for Assessment and Learning in Knowledge Spaces. It is an artificial intelligence engine that assesses each student individually and continuously and it is based upon work in a field of study called Knowledge Space Theory. Your ALEKS course has 146 distinct topics divided into chapter objectives with established due dates. If you master a chapter before the deadline, then the system automatically moves your learning to the next chapter. Required Work and Opportunities for Extra Credit. Students will be required to work on the ALEKS learning system, to complete three in-class written tests, to submit solutions to test reviews, to take a common final exam and to work on a group project. Items are explained in detail below. ALEKS Learning System: While learning objectives in the ALEKS course, you will be given several assessments. You are expected to complete each assessment in a timely manner in order to determine if you mastered or not the objectives that you practiced on ALEKS. Group Project: Students will work in groups of 2 to 4 members on a project using MTH 167 content. Details of the project will be given later in the semester.

2 Tests and Practice Tests: Practice tests are available under the Assignments tab in ALEKS and a score of 90% or better is expected one day before the test takes place. Each practice test has a quick retake option, which allows you to retake the problems you did not answer correctly up a maximum of 3 times. The practice tests can also be opened at any time in the weeks before the test and you can save your work before submitting the test to continue to work on the pie. The first try for each practice test should be submitted at least one week before that particular test date. If you have answered a question incorrectly more than once seek help on that topic before submitting the final attempt. Test will be held in class and are pencil and paper tests. Each test will be comparable to the material covered on ALEKS and the topics will be chosen from the corresponding online practice test. Common final. Comprehensive. Bring a graphing calculator, a photo ID, pencils and eraser to the final exam. The final is tentatively scheduled on Friday, May 8, 2015 from 10:15am to 12:45pm in MC 201. Grading Scheme and Make Up Policy for Tests: Make ups are for students who missed a test and have provided a documented valid reason for doing so (such as hospitalization, policy traffic accident report or judicial mandatory court attendance) and are arranged by the instructor. Labs: To use the labs on campus, you will need your CSU ID number and CSU password. You can call X5050 and have your password reset if you forgot it. Labs that have ALEKS plug-ins: RT 1501 and satellite lab, MC 435, RT 403. (Other labs might have the ALEKS plug ins in some but not all machines). Graphing Calculator Policy and its Integration in the Course: TI 84 plus or equivalent. Calculators with algebraic capability such as TI 89 series, TI 92 series, TI-Voyager 200 and TI Nspire CAS are not allowed. Cell phones are not allowed during tests. You are expected to use calculators in various class situations, but you must be familiar with the ALEKS built in calculator. Recall that all numbers in ALEKS must be exact (as a rule of thumb, do not use decimal representation) unless it is specified otherwise. ALEKS Gradebook. All required and extra work scores as well as midterm and final grades will be calculated and recorded on the ALEKS gradebook. Special Accommodations. Educational access is the provision of classroom accommodations, auxiliary aids and services to ensure equal educational opportunities for all students regardless of their disability. Any student who feels he or she may need an accommodation based on the impact of a disability should contact the Office of Disability Services at (216) The Office is located in MC 147. Accommodations need to be requested in advance and will not be granted retroactively.

3 Required work percent Total 3 Tests 15 % each 45 pts Practice Problems for 3 Tests (3 QR) 1 % each 3 pts Written Final 25 % 25 pts Practice Final Exam (3 QR) 2% 2 pts ALEKS system (pie and assessments) 15% 15 pts Project 10% 10 pts TOTAL WORK 100 points Extra credit How to improve the grade? Sample Questions under Worth half of the value of a practice test. the Assignment Tab (unlimited full retake) 100% course completion Add 2 points to TOTAL WORK through assessment SPT Supplemental If you attend at least 12 hours: 3 points, between 8 and 12 hours: 2 Instruction Sessions points and between 4 and 8 hours: 1 point Class Attendance Up to two unjustified absences: 2 points added to TOTAL WORK. More absences: deduct 0.5 point for each day of missed classes If you obtain less than 50% in the final, your course grade is: If you obtain at least 50% in the final exam and your Then your final grade is TOTAL WORK is between 95 to 100% A 90 to 95% A- 87 to 90% B+ 84 to 87% B 80 to 84% B- 75 to 80% C+ 70 to 75% C 60 to 70% D Below 60% F Resources for CSU Students TASC Tutoring & Academic Success Center, MC 233, , Math Learning Center, MC 230, , The Writing Center, RT105, , College of Science Advising Center, Main Classroom 218B, , cosadvising@csuohio.edu. Visit

4 Tentative Course Schedule for MWF classes. *Sunday Monday Tuesday Wednesday Thursday Friday 1/12 Syllabus Clarification Section 1.1& 1.2 1/13 1/14 Section 1.2 1/15 1/16 Section 1.3 Remind to buy ALEKS! 1/18 1/19 Martin Luther King Day No Classes 1/25 1/26 Section 1.3 Section 1.4 2/1 2/2 Section 2.1 2/8 2/9 Section /15 2/16 President s Day No Classes 2/22 2/23 Section 3.1 Section 3.2 3/1 3/2 Section 3.5 Section 3.6 3/8 3/9 Closed 3/15 3/16 Section 4.2 Section 4.3 3/22 3/23 Section 4.5 Section 4.6 3/29 3/30 Section 5.1 4/5 4/6 Section 5.3 4/12 4/13 Section 5.4 4/19 4/20 Section 5.6 Ch5 Supp Topics 1/20 1/21 LAB DAY ALEKS Assessment 1/27 1/28 Section 1.4 Section 1.5 2/3 Chapter 1 2/4 Section 2.1 Section 2.2 2/10 2/11 Section 2.2 Section 2.3 2/17 Chapter 2 2/18 Test 1 Review (covers Ch. 1 and 2) 2/24 2/25 Section 3.2 Section 3.3 3/3 3/4 Section 3.6 Section 4.1 3/10 3/11 Spring 3/17 Chapter 3 3/18 Section 4.3 Break 3/24 3/25 Test 2 Review (covers Ch. 3 and 4) 3/31 Chapter 4 4/1 Section 5.1 Section 5.2 4/7 4/8 Section 5.3 4/14 4/15 Section 5.5 4/21 4/22 Test 3 Review (covers Ch. 5) 1/22 1/23 Last Day to Drop Section 1.3 1/29 1/30 Section 1.5 Ch1 Supp Topics 2/5 2/6 Section 2.2 2/12 2/13 Section 2.5 Section 2.6 2/19 Practice Test 1 due Ch2 Supp topics 2/20 Test 1 2/26 2/27 Section 3.3 3/5 3/6 Section 4.1 3/12 3/13 No Classes 3/19 3/20 Section 4.4 3/26 Practice Test 2 due 3/27 Test 2 Last Day to Withdrawal 4/2 4/3 Section 5.2 4/9 4/10 Section 5.4 4/16 4/17 Section 5.5 4/23 4/24 Practice Test 3 due Test 3 4/26 4/27 Section 9.1 4/28 Chapter 5 5/3 5/4 5/5 Chapter 9 4/29 Section 9.1 4/30 5/1 Final Exam Review 5/6 5/7 5/8 Tentative Final Exam Day

5 Ch.1-Relations, Functions, and Graphs (28 topics, due on 02/03/15) Section 1.1 (1 topic) Graphing a line given its equation in slope-intercept form: Fractional slope Section 1.2 (7 topics*) Graphing a line given its equation in slope-intercept form: Fractional slope Graphing a line given its equation in standard form Graphing a vertical or horizontal line Finding x- and y-intercepts of a line given the equation: Advanced Graphing a line by first finding its x- and y-intercepts Finding slope given two points on the line Writing an equation and drawing its graph to model a real-world situation: Advanced Section 1.3 (10 topics) Vertical line test Evaluating functions: Linear and quadratic or cubic Evaluating functions: Absolute value, rational, radical Variable expressions as inputs of functions Domain of a rational function Domain of a square root function: Advanced Finding the domain of a fractional function involving radicals Finding inputs and outputs of a function from its graph Domain and range from the graph of a continuous function Interpreting the graphs of two functions Section 1.4 (8 topics*) Graphing a line given its equation in slope-intercept form: Fractional slope Finding x- and y-intercepts of a line given the equation: Advanced Graphing a line through a given point with a given slope Finding the slope and y-intercept of a line given its equation in the form Ax + By = C Writing an equation of a line given the y-intercept and another point Writing the equation of the line through two given points Writing equations of lines parallel and perpendicular to a given line through a point Application problem with a linear function: Finding a coordinate given two points Section 1.5 (2 topics) Solving for a variable in terms of other variables in a linear equation with fractions Solving a distance, rate, time problem using a linear equation Chapter 1 Supplementary Topics (3 topics) Application problem with a linear function: Finding a coordinate given the slope and a point Determining whether an equation defines a function: Basic Domain and range from the graph of a piecewise function (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective. Ch.2-More on Functions (26 topics, due on 02/17/15) Section 2.1 (4 topics) Finding intercepts of a nonlinear function given its graph Finding where a function is increasing, decreasing, or constant given the graph: Interval notation Finding local maxima and minima of a function given the graph Even and odd functions Section 2.2 (12 topics) Graphing a cubic function of the form y = ax3 Graphing an absolute value equation in the plane: Advanced Graphing a parabola of the form y = (x-a)2 + c Graphing a square root function: Problem type 1 Graphing a square root function: Problem type 2

6 How the leading coefficient affects the shape of a parabola Writing an equation for a function after a vertical translation Translating the graph of a function: One step Translating the graph of a function: Two steps Transforming the graph of a function by reflecting over an axis Transforming the graph of a function by shrinking or stretching Transforming the graph of a function using more than one transformation Section 2.3 (4 topics) Introduction to solving an absolute value equation Solving an absolute value equation: Problem type 1 Solving an absolute value equation: Problem type 2 Solving an absolute value inequality: Problem type 3 Section 2.5 (2 topics) Evaluating a piecewise-defined function Graphing a piecewise-defined function Section 2.6 (1 topic) Writing an equation that models variation Chapter 2 Supplementary Topics (3 topics) Solving an absolute value equation of the form ax+b = cx+d Writing an equation for a function after a vertical and horizontal translation Classifying the graph of a function Ch.3-Quadratic Functions and Operations on Functions (21 topics, due on 03/17/15) Section 3.1 (3 topics) Adding or subtracting complex numbers Multiplying complex numbers Dividing complex numbers Section 3.2 (5 topics) Solving a word problem using a quadratic equation with rational roots Applying the quadratic formula: Exact answers Solving a quadratic equation with complex roots Solving a word problem using a quadratic equation with irrational roots Solving a quadratic inequality Section 3.3 (7 topics*) Solving a word problem using a quadratic equation with irrational roots Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients Finding the x-intercept(s) and the vertex of a parabola Finding the maximum or minimum of a quadratic function Word problem involving the maximum or minimum of a quadratic function Writing the equation of a quadratic function given its graph Section 3.5 (3 topics) Sum, difference, and product of two functions Quotient of two functions Combining functions: Advanced Section 3.6 (4 topics) Finding a difference quotient for a function Composition of two functions: Basic Composition of two functions: Domain and range Composition of two functions: Advanced (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective.

7 Ch.4-Polynomial and Rational Functions (27 topics, due on 03/31/15) Section 4.1 (7 topics) Finding a polynomial of a given degree with given zeros: Real zeros Polynomial long division: Problem type 1 Polynomial long division: Problem type 2 Polynomial long division: Problem type 3 Using the remainder theorem to evaluate a polynomial The Factor Theorem Using a given zero to write a polynomial as a product of linear factors: Real zeros Section 4.2 (4 topics) Using a graphing calculator to find local extrema of a polynomial function Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function Using a graphing calculator to find zeros of a polynomial function Using a graphing calculator to solve a word problem involving a polynomial of degree 3 Section 4.3 (5 topics*) Finding zeros of a polynomial function written in factored form Finding x- and y-intercepts given a polynomial function Matching graphs with polynomial functions Inferring properties of a polynomial function from its graph Using a graphing calculator to find local extrema of a polynomial function Section 4.4 (7 topics) Finding the asymptotes of a rational function: Constant over linear Finding the asymptotes of a rational function: Linear over linear Finding the asymptotes of a rational function: Advanced Graphing a rational function: Constant over linear Graphing a rational function: Linear over linear Matching graphs with rational functions: Two vertical asymptotes Writing the equation of a rational function given its graph Section 4.5 (2 topics) Graphing a rational function: Problem type 2 Graphing rational functions with holes Section 4.6 (3 topics) Solving a polynomial inequality Solving a rational inequality: Problem type 1 Solving a rational inequality: Problem type 2 (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective. Ch.5-Exponential and Logarithmic Functions (37 topics, due on 04/28/15) Section 5.1 (5 topics) Horizontal line test Determining whether two functions are inverses of each other Inverse functions: Problem type 1 Inverse functions: Problem type 2 Inverse functions: Problem type 3 Section 5.2 (7 topics) Graphing an exponential function and its asymptote: f(x) = a(b)x Translating the graph of an exponential function The graph, domain, and range of an exponential function Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c Evaluating an exponential function that models a real-world situation Finding a final amount in a word problem on exponential growth or decay

8 Using a graphing calculator to solve an exponential or logarithmic equation Section 5.3 (6 topics) Converting between logarithmic and exponential equations Converting between natural logarithmic and exponential equations Translating the graph of a logarithmic function Graphing a logarithmic function: Basic The graph, domain, and range of a logarithmic function Domain of a logarithmic function: Advanced Section 5.4 (8 topics) Solving an equation of the form logba = c Basic properties of logarithms Expanding a logarithmic expression: Problem type 1 Expanding a logarithmic expression: Problem type 2 Writing an expression as a single logarithm Change of base for logarithms: Problem type 1 Solving a multi-step equation involving a single logarithm Solving an exponential equation by using natural logarithms: Decimal answers Section 5.5 (7 topics) Evaluating an exponential function with base e that models a real-world situation Solving a multi-step equation involving natural logarithms Solving an equation involving logarithms on both sides: Problem type 1 Solving an equation involving logarithms on both sides: Problem type 2 Solving an exponential equation by using logarithms: Decimal answers Solving an exponential equation by using logarithms: Exact answers in logarithmic form Solving an exponential equation by using substitution and quadratic factoring Section 5.6 (4 topics*) Finding a final amount in a word problem on exponential growth or decay Finding the time to reach a limit in a word problem on exponential growth or decay Finding the initial or final amount in a word problem on exponential growth or decay Finding the rate or time in a word problem on exponential growth or decay Chapter 5 Supplementary Topics (1 topic) Solving an exponential equation by finding common bases: Linear and quadratic exponents (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective. Ch.9-Systems of Equations and Inequalities (7 topics, due on 05/05/15) Section 9.1 (7 topics) Identifying solutions to a system of linear equations Graphically solving a system of linear equations Solving a system of linear equations using substitution Solving a system of linear equations using elimination with multiplication and addition Solving a system of linear equations that is inconsistent or consistent dependent Solving a value mixture problem using a system of linear equations Solving a distance, rate, time problem using a system of linear equations

Important Dates. Non-instructional days. No classes. College offices closed.

Important Dates. Non-instructional days. No classes. College offices closed. Instructor: Dr. Alexander Krantsberg Email: akrantsberg@nvcc.edu Phone: 703-845-6548 Office: Bisdorf, Room AA 352 Class Time: Mondays and Wednesdays 12:30 PM - 1:45 PM. Classroom: Bisdorf / AA 354 Office