Faculty Syllabus Math 0310 S20 Spring 2015 7:00-8:15pm Course Number: MATH 0310 Section Number: S20 Course Title: Intermediate Algebra Course Description: Study of exponents, functions, radical expressions and equations, quadratic equations and functions, linear and quadratic inequalities, systems of equations and inequalities, and graphing linear equations and inequalities. Lab included. Note: May not be used to satisfy the requirements of an associate degree. Course Credit Hours, Lecture Hours, Lab Hours: 3 Credit Hours Lab Hours: 1 Placement Assessment: Placement in MATH 0310. Consult the Testing Center Director if you have questions about an assessment level. College Repeat Policy: Developmental courses may be taken for a combined total of no more than 27 credit hours. In addition, a student may repeat this course only once after receiving a grade, including W. If you drop this class before census day, it will not count against you. Administrative Withdrawal: Participation in class is an essential requirement of this course. Maintain contact with your professor if you are not able to attend class or complete an assignment on time. If you miss more than 20% of the meetings of a Developmental Education class between the beginning of class and the college withdrawal date, you may be administratively withdrawn from this class. Administrative withdrawal may have academic, financial, financial aid, and visa implications. It will count toward Collin’s Repeat Policy and the 27-hour limitation on Developmental Education courses. Administrative withdrawal will take place after the full refund period, and if you are administratively withdrawn from the course you will not be eligible for a tuition refund. If you have questions about the administrative withdrawal policy, please contact your professor. Course Delivery Method: Lecture/Lab. Lab included Instructor’s Information: Instructor’s Name: Jens N. Stubblefield Office Number: Preston Ridge, Founders Hall, F-236 Office Hours M,T,W,R: Noon-4pm (in H-124) Phone Number: 972-377-1630. In case of emergency, contact the Developmental Education office (SCC K102) at (972) 881-5720. Email: jstubblefield@collin.edu. Class Information Class meets on Tuesday and Thursday, 7:00-8:15pm, classroom K212, on the Spring Creek Campus. Course Resources: The college provides group tutoring and a Math Lab at no charge at each campus to support student success in this class. Students are required to purchase a software license for use in this class. Textbook: ISBN book bundle # 1256105589, which includes: Beginning & Intermediate Algebra (Custom Edition for Collin College), 4e, by Martin-Gay; Student Solution Manual, and MyMathLab Access Code. If you purchase a used textbook, you will still need a MyMathLab access code. The cost of this code plus your textbook may be more than the cost of a new textbook bundle. Page 1 of 8 Math 0310 S20 Spring 2015 Syllabus / MathLab Info Supplies: A graphing calculator is required and the TI 83, TI 83 Plus, or TI 84 is preferred. Calculators with a computer algebra system (CAS) will not be permitted on exams, unless prior approval is obtained from the instructor. Bring textbook, notebook, calculator (optional) and pencils (no pens) to each class. Student Learning Outcomes: After successful completion of this course, a student will be able to: Apply mathematical terminology to communicate an algebraic process and solution. Determine the domain and range of a relation given as an equation, graph or table, and decide whether it is a function. Solve a linear, quadratic and radical equation, a system of linear equations and inequalities, and transfer these algorithms to a new situation. Identify the slope, x- and y- intercepts, maximum or minimum, and the vertex, as appropriate, to graph a linear and quadratic equation and an inequality. Interpret an application problem or a formula and solve using the appropriate algebraic skills. Course Requirements: Attend class as scheduled and complete the required tests, lab assignments, and final examination, and any other assignments required by the instructor. Method of Evaluation: Only AD, BD, CD, FD or I can be awarded in this class. A grade of DD will never be awarded. The Grading Scale will be: AD: 90 – 100%; BD: 80 – 89%; CD: 70 – 79%; FD: 0 – 69%. (A grade of FD (average below 70%) is not passing.) Attendance/Class participation Homework Exams (4 @ 12% each) Lab average Final Exam (required for all students) 5% 12% 48% 15% 20% Lab exercises –Students will complete Lab Quizzes on the MyMathLab website. The URL, instructions for enrolling, and the required course ID will be provided at the end of this document. Final exam - A comprehensive departmental final exam is REQUIRED for all students at the end of the course (NO EXCEPTIONS). If the exam is not taken, a zero will be recorded. No other grade can replace the final exam. Attendance Policy: Students are expected to attend all classes. When absence from class is unavoidable, it is the student’s responsibility to make arrangements for makeup work and to determine whether announcements relevant to the course were missed during the absence. Excessive absences may result in failure. Exam Makeup Policy: No makeup exams are offered. The final exam grade may be substituted for one missed exam, or replace a lower unit exam grade. Page 2 of 8 Math 0310 S20 Spring 2015 Syllabus / MathLab Info Withdrawal Policy: Our goal is for you to successfully complete this course and to be prepared to successfully complete subsequent course(s). Prior to withdrawing from this class, please meet with me to discuss your progress and to learn about the support services provided at Collin to help you succeed. If you want to withdraw, take your course withdrawal form (blue form) to the Admissions Office for processing. See the current Collin Registration Guide for the last day to withdraw. (Spring 2015 – Withdrawal date is March 20, 2015) If you simply stop attending, you may be administratively withdrawn from this course. If you stop participating, and do not withdraw from this course by the college withdrawal date, you will most likely receive an FD. Collin College Academic Policies: Please refer to the current Collin Student Handbook. Americans with Disabilities Act: Collin College will adhere to all applicable federal, state and local laws, regulations and guidelines with respect to providing reasonable accommodations as required to afford equal opportunity. It is the student’s responsibility to contact the ACCESS office, SCC5898 or 972.881.5898 (V/TTD: 972.881.5950) to arrange for appropriate accommodations. See the current Collin Student Handbook for additional information. Academic Ethics: Every member of the Collin College community is expected to maintain the highest standards of academic integrity. Collin College may initiate disciplinary proceedings against a student accused of scholastic dishonesty. Scholastic dishonesty includes, but is not limited to, statements, acts, or omissions related to applications for enrollment or the award of a degree, and/or the submission of one’s own work material that is not one’s own. Scholastic dishonesty may involve, but is not limited to, one or more of the following acts: cheating, plagiarism, collusion, use of annotated texts or teacher’s editions, use of information about exams posted on the Internet or electronic medium, and/or falsifying academic records. While specific examples are listed below, this is not an exhaustive list and scholastic dishonesty may encompass other conduct, including any conduct through electronic or computerized means: Plagiarism is the use of an author’s words or ideas as if they were one’s own without giving credit to the source, including, but not limited to, failure to acknowledge a direct quotation. Cheating is the willful giving or receiving of information in an unauthorized manner during an examination; collaborating with another student during an examination without authority; using, buying, selling, soliciting, stealing, or otherwise obtaining course assignments and/or examination questions in advance, copying computer or Internet files, using someone else’s work for assignments as if it were one’s own; or any other dishonest means of attempting to fulfill the requirements of a course. If a determination of cheating is made by the Dean of Students Office: 1. A grade of zero will be assigned for the first offense. 2. A course grade of "FD" will be assigned for the second offense. Collusion is intentionally or unintentionally aiding or attempting to aid another in an act of scholastic dishonesty, including but not limited to, failing to secure academic work; providing a paper or project to another student; providing an inappropriate level of assistance; communicating answers to a classmate about an examination or any other course assignment; removing tests or answer sheets from a test site, and allowing a classmate to copy answers. See the current Collin Student Handbook for additional information. Page 3 of 8 Math 0310 S20 Spring 2015 Syllabus / MathLab Info Notes: (1) The instructor reserves the right to make changes to this syllabus during the semester. Changes will be provided in writing during class hours. (2) With the exception of a calculator, all electronic devices are to be switched off during class, unless an exception is obtained from the instructor in advance. (3) Please see: http://www.collin.edu/collegesurvival/ for a listing of available college support resources. Expectation: Maintaining a positive learning environment As your instructor and as a student in this class, it is our shared responsibility to develop and maintain a positive learning environment for everyone. Your instructor takes this responsibility very seriously and will inform members of the class if their behavior makes it difficult for him/her to carry out this task. As a fellow learner, you are asked to respect the learning needs of your classmates and assist your instructor achieve this critical goal. Creating Opportunities for Learning As your instructor, it is my responsibility to present learning opportunities through the course syllabus, lectures, labs, in-class and out-of-class exercises and assignments. It is your responsibility to do the learning by completing the readings, by attending class and by participating in the class discussions and assessment/lab exercises. Tracking Your Success at Learning Your instructor will conduct quizzes, exams and assessments that you can use to determine how successful you are at achieving the course learning outcomes (mastery of course content and skills) outlined in the syllabus. If you find you are not mastering the material and skills, you are encouraged to reflect on how you study and prepare for each class. Your instructor welcomes a dialogue on what you discover and may be able to assist you in finding resources on campus that will improve your performance. Page 4 of 8 Math 0310 S20 Spring 2015 Syllabus / MathLab Info Tentative Course Calendar Math 0310 Spring 2015 Section S20 TR 7:00-8:15pm Math 0310 (Martin-Gay, 4e) 1/20 1/22 1/27 1/29 2/3 2/5 2/10 2/12 2/17 2/19 2/24 Syllabus, Appendix D An introduction to using a graphing utility 8.1 Graphing and Writing Linear Functions 3.6 Functions 8.2 Reviewing Function Notation and Graphing Non-linear Functions 12.1 The Algebra of Functions 2.8 Solving Linear Inequalities 9.2 Absolute Value Equations 9.3 Absolute Value Inequalities 6.4 Factoring Trinomials of the form Integrated Review: Choosing a Factoring Strategy (page 402) 6.6 Solving Quadratic Equations by Factoring Review for Test 1 3/5 3/17 3/19 3/24 3/26 3/31 Test 1 --- Lab Quizzes 1, 2, 3, 4 DUE 7.1 Rational Functions and Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 7.5 Solving Equations Containing Rational Expressions 7.6 Problem Solving with Rational Equations ONLY Review/Test 2 --- Lab Quizzes 5, 6 DUE 7.7 Simplifying Complex Fractions 10.1 Radicals and Radical Functions 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Adding, Subtracting, and Multiplying Radical Expressions 4/2 4/7 4/9 10.5 Rationalizing Denominators of Radical Expressions 10.6 Radical Equations and Problem Solving Review/Test 3 --- Lab Quizzes 7, 8 DUE 4/14 4/16 4/21 4/23 10.7 Complex Numbers 11.1 Solving Quadratic Equations by Completing the Square 11.2 Solving Quadratic Equations by the Quadratic Formula 11.5 Quadratic Functions and Their Graphs 4/28 4/30 5/5 5/7 5/12 11.6 Further Graphing of Quadratic Functions Review for Test 4 Test 4 --- Lab Quizzes 9, 10 DUE Review for final exam FINAL EXAM Scantron and Blue Book required 2/26 3/3 Page 5 of 8 0310 Labs LAB QUIZ 1 Beg Alg Review LAB QUIZ 2 (8.1,3.6,8.2) LAB QUIZ 3 (12.1,9.2,9.3) LAB QUIZ 4 (6.4, 6.6, factoring review) LAB QUIZ 5 (7.1,7.2,7.3) LAB QUIZ 6 (7.4, 7.5, 7.6) LAB QUIZ 7 (7.7, 10.1,10.2,10.3) LAB QUIZ 8 (10.4,10.5,10.6) LAB QUIZ 9 (10.7, 11.1,11.2) LAB QUIZ 10 (11.5,11.6) 7:00-9:00p Math 0310 S20 Spring 2015 Syllabus / MathLab Info MATH 0310 INTERMEDIATE ALGEBRA COURSE OBJECTIVES Textbook Reference: Beginning & Intermediate Algebra 4e, Martin-Gay The student will demonstrate an ability to: Textbook Reference Use a general strategy to factor a polynomial completely. Simplify a complex fraction. Solve an equation containing rational expressions. Solve an application problem involving rational expressions. Solve a compound inequality in one variable. Express the solution to a compound inequality (i) in set-builder notation, (ii) as a graph, and (iii) in interval notation. Identify a relation as a function given (i) a set of points, (ii) an equation, (iii) a graph using the vertical line test, or (iv) a table of values. Evaluate a function for a specified value given an equation and a graph. Determine the domain of a function given an equation. Determine the domain and range of a graph. Find the sum, difference, product, and quotient of two functions, and the domain of the quotient of two functions. Find the slope of a line given: (i) two points on the line, (ii) an equation of the line, (iii) the slope of a line parallel or perpendicular to it, (iv) an equation of another line parallel or perpendicular to it, (v) a table of values, and (vi) a graph. Write the equation in slope-intercept form if applicable, given a linear equation. Determine whether two equations represent parallel lines, perpendicular lines, or neither. Write an equation of a line given: (i) the slope and y-intercept, (ii) the slope and a point on the line, (iii) two points on the line, (iv) it is parallel to or perpendicular to another line passing through a specified point, (v) a table of values, and (vi) a graph. (Integrated Review p.402) (7.7) (7.5) (7.6) (9.1) Solve a system of linear equations in two variables by: (i) graphing manually and with a graphing calculator, (ii) substitution, and (iii) elimination. Write a system of linear equations in two variables describing an application problem, solve the system, and interpret the solution. Graph a system of linear inequalities in two variables. Simplify a radical expression and verify using a graphing calculator when appropriate. Evaluate a radical function. Determine the domain of a radical function from an equation and a graph. Simplify an expression containing rational exponents. Add, subtract, and multiply radical expressions. Divide an expression with a monomial or binomial denominator containing a radical. Solve a radical equation. Add, subtract, multiply, and divide complex numbers. Solve a quadratic equation with integer coefficients by (i) factoring, (ii) using the square root principle, (iii) completing the square, and (iv) the quadratic formula. Solve an application problem involving quadratic equations. Graph a quadratic function by plotting the intercepts, the vertex, and utilizing the axis of symmetry. b b ,f Find (i) the vertex using , (ii) the direction of the parabola, and (iii) the axis 2a 2a (9.1) (3.6, Supplement for (iv) Table of Values) (3.6, 8.2) (3.6) (3.6) (12.1) (3.4, Supplement for (v) Table of Values) (3.4) (3.4) (3.5, Supplemental Appendix (page F1 – F10) for (vi) Graph, Supplement for (v) Table of Values, 8.1) (4.1,4.2,4.3) (4.5) (9.4) (10.1) (10.1) (10.1) (10.2) (10.3, 10.4 ) (10.5) (10.6) (10.7) (11.1, 11.2) (11.1, 11.2) (11.5, 11.6) (11.6) 2 of symmetry, given a quadratic function in the form f ( x ) ax bx c . Determine any maximum or minimum, given a graph of a quadratic function. Solve a quadratic inequality. Determine an equation of a circle given the center and radius or diameter, or the endpoints of the diameter. Find the center and radius of a circle given an equation and then graph the circle. Page 6 of 8 (11.6) (11.4) (13.1, Supplement for Diameter) (13.1) Math 0310 S20 Spring 2015 Syllabus / MathLab Info The student will demonstrate an ability to: Textbook Reference Find the distance between two points. Find the midpoint of a line segment. The student will demonstrate competency in the use of a graphing calculator by: Using the ROOT (ZERO) and INTERSECT features to solve an equation. Using the INTERSECT feature to solve a system of linear equations. Checking solutions to a linear or quadratic equation using the VARS, VALUE, STO or TABLE feature. Identifying the maximum or minimum value of a quadratic function using the MINIMUM or MAXIMUM feature. Graphing a linear function. , 3 , x features to verify the simplification of a radical expression, when Using the appropriate. (10.3) (10.3) Page 7 of 8 (6.6, 7.5, 10.6, 11.1) (4.1) (Supplement) (Supplement) (8.1, Appendix D) (Supplement) Math 0310 S20 Spring 2015 Syllabus / MathLab Info MyLab & Mastering Student Registration Instructions To register for Math 0310 Spring 2015: 1. Go to pearsonmylabandmastering.com. 2. Under Register, click Student. 3. Enter your instructor’s course ID: stubblefield58456, and click Continue. 4. Sign in with an existing Pearson account or create an account: · If you have used a Pearson website (for example, MyITLab, Mastering, MyMathLab, or MyPsychLab), enter your Pearson username and password. Click Sign in. · If you do not have a Pearson account, click Create. Write down your new Pearson username and password to help you remember them. 5. Select an option to access your instructor’s online course: · Use the access code that came with your textbook or that you purchased separately from the bookstore. · Buy access using a credit card or PayPal. · If available, get 14 days of temporary access. (Look for a link near the bottom of the page.) 6. Click Go To Your Course on the Confirmation page. Under MyLab & Mastering New Design on the left, click Math 0310 Fall 2014 to start your work. Retaking or continuing a course? If you are retaking this course or enrolling in another course with the same book, be sure to use your existing Pearson username and password. You will not need to pay again. To sign in later: 1. Go to pearsonmylabandmastering.com. 2. Click Sign in. 3. Enter your Pearson account username and password. Click Sign in. 4. Under MyLab & Mastering New Design on the left, click Math 0310 Spring 2015 to start your work. Additional Information See Students > Get Started on the website for detailed instructions on registering with an access code, credit card, PayPal, or temporary access. Page 8 of 8 Math 0310 S20 Spring 2015 Syllabus / MathLab Info