SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 Title: Precalculus Catalog Number: MATH 190 Credit Hours: 3 Total Contact Hours: 45 Instructor: Gwendolyn Blake Email: gblake@smccme.edu Website: http://ftp.smccme.edu/~wblake Office and Office Hours: Preble Hall 202 By appointment Course Syllabus PRECALCULUS MATH 190-Fall 2015 Course Description: This course is designed to add depth and breadth to a student s mathematical background before embarking on a study of the methods of calculus. The course covers a review of algebra, linear, and quadratic functions; polynomial, rational, exponential, radical, and logarithmic functions; compositions and inverses of functions; theory of polynomials with the Fundamental Theorem of Algebra; trigonometric functions and identities; additional topics and applications. This course requires the use of an online learning system. 3 credits. Prerequisite: College Algebra MATH-140 and Trigonometry MATH-160 or College Algebra and Trigonometry MATH-145 or equivalent. Course Objectives Upon successful completion of the course, the student will be able to: 1. Solve and graph linear equations and inequalities. 2. Solve and graph quadratic equations and inequalities. 3. Solve and graph absolute value equations and inequalities. 4. Identify a function from its equation and graph. 5. Use the properties of graphing such as symmetry, translations, reflection, compression and stretching to graph functions. 6. Perform operations on functions including the sum, difference, product, quotient and composition of functions. 7. Perform operations on complex numbers. 8. Perform long division on polynomials. 9. Perform synthetic division on polynomials. 10. Use the Remainder Theorem to evaluate polynomials. 11. Use the Factor Theorem to show whether (x-c) is a factor of a polynomial. 12. Graph polynomial functions using roots and end behavior of the function. 13. Identify the equations of a polynomial. 14. Graph rational functions using asymptotes, intercepts and end behavior. 15. Find the inverse of a function. 16. Solve and graph exponential functions. 17. Solve and graph logarithmic functions. 18. Evaluate trigonometric functions of real numbers. 19. Graph trigonometric functions. 20. Recognize and verify trigonometric identities. 21. Solve trigonometric equations. 22. Evaluate inverse trigonometric functions. 23. Identify the important parts of a conic section from its equation. 24. Find the equation of a conic section.
Course Requirements Students are expected to be fully registered and working in the online learning platform by the end of the second week of the semester. Students are required to use MyMathLab on a weekly basis for homework and other assignments. It is the student s responsibility to keep up with the scheduled assignments given in MyMathLab. See the Course Schedule below for weekly assignments. Students are expected to come to class and to be on time to class. Students are also required to take proctored, written exams and quizzes. More than one week without class attendance and without active, sustained work on MyMathLab is reason enough to be dismissed from the course with a course grade of F. Students are expected to be able to send and receive email messages using the SMCC student email. Academic Policies Semester End: The course ends on Thursday December 19, 2015. Any work completed after that day will not be used to assess your final grade. Attendance: Attendance is critical to your success in this course. More than one week absent from class and without active, sustained work in MyMathLab is reason enough to be dismissed from the course with a course grade of F. Pre-arrange absences whenever possible. See student handbook for other academic policies. Homework Assignments MyMathLab (30%) Homework assignments are to be completed in MyMathLab. Students are required to use MyMathLab on a weekly basis for homework. It is the student s responsibility to keep up with the scheduled assignments given in MyMathLab. See the Course Schedule given below. Homework assignments are due the Tuesday of the week after the scheduled date. You may continue to work on a Homework assignment after it is due, but you may not work on homework assignments after the exam on the unit has been commpleted Quizzes In Class (10%) Announced quizzes called Remembering the Basics will be frequently given at the beginning of class. Each quiz will last 10 minutes. If you miss the quiz due to tardiness or absence, the quiz cannot be made up. Notes and calculators will not be allowed for these quizzes. Quizzes will be graded primarily on the basis of the correct answer and often no partial credit will be given. You do not need to show your work on quizzes. At the end of the semester I will drop your 4 lowest quiz grades. Exams (60%) Exams will be proctored, written exams. Work needs to be shown in exams. The exams will be graded not only on the basis of correct solutions to the problems, but also on the manner in which the solutions are developed. Although calculators are encouraged for checking work, often students must demonstrate their ability to do the problem without a calculator. Answers without proper justification may receive either zero or partial credit. Your tests
should be well organized, legible, and reasonably neat. The best way to study for a math exam is to practice the skills you have been acquiring. Study the homework problems assigned in MyMathLab. Students are expected to take all exams when scheduled. Permission to reschedule an exam should be received in advance. Exam dates will be announced in class prior to the exam week. Except for the last exam, a missed exam, where permission is not given in advance, cannot be made up for any reason. If a student misses the last exam without prior permission, then, if allowed to be made up, the student will receive a 20% penalty on the last exam. Course Grade: A 93-100 A- 90 92 B+ 87-89 B 83-86 C+ 77-79 C 73-76 D+ 67-69 D 63-66 B- 80-82 C- 70-72 F Below 63 Text, Tools, and/or Supplies: Precalculus: Concepts through Functions- A Unit Circle Approach to Trigonometry. by Michael Sullivan and Michael Sullivan III, 3 nd Edition, 2015, Pearson Graphing calculator such as the TI-83 Plus or TI-84 Communication: You are required to communicate by email with your instructor and open email attachments. Check your student email on a regular basis or have your student email forwarded to your preferred account. Each time you write an email message to your instructor, put the name of your course MATH 190 01 in the Subject. Make sure your full name is in the message. End-of-Course Evaluation In order to gain access to final course grades, students must complete evaluations for each course attended at SMCC. Evaluations are submitted online and can be accessed through the student portal site. Students can access the course evaluation report beginning two weeks before the end of classes. The deadline for submission of evaluations occurs 24 hours after the last day of classes each semester. Instructors will announce when the online course evaluation is available. ADA (Americans with Disabilities Act): Southern Maine Community College is an equal opportunity/affirmative action institution and employer. For more information, please call 207-741-5798. If you have a disabling condition and wish to request accommodations in order to have reasonable access to the programs and services offered by SMCC, you must register with the Disability Services Coordinator, Sandra Lynham, who can be reached at 741-5923. Further information about services for students with disabilities and the accommodation process is available upon
request at this number. Course policies about online testing are modified to suit each individual s accommodations. SMCC Pay-for-Print Policy In an effort to control the escalating cost of supplies and to encourage students to conserve resources, SMCC charges for printing. Students receive a $20 credit every semester. This credit resets for each semester and extra credit is not rolled over to the next semester. Per page costs are as follows: 8.5"x11" black and white: $0.10 per page 8.5"x11" color: $0.50 per page 8.5"x14" and 11"x17" black and white: $0.20 per page 8.5"x14" and 11"x17" color: $1.00 per page Duplex (two-sided) pages are discounted 50% from the listed page costs. Students can monitor their remaining credit and number of pages printed by visiting the IT Help tab on MySMCC or by checking the Printing Information icon in the lower right corner of the screen while logged in to an SMCC computer. More information about the Pay-for-Print Policy is available on the IT Help tab on MySMCC. Add-Drop Policy Students who drop a course during the one-week add/drop period in the fall and spring semesters and the first three days of summer sessions receive a 100% refund of the tuition and associated fees for that course. Please note any course that meets for less than the traditional semester length, i.e., 15 weeks, has a pro-rated add/drop period. There is no refund for non-attendance. Withdrawal Policy A student may withdraw from a course only during the semester in which s/he is registered for that course. The withdrawal period is the second through twelfth week of the fall and spring semesters and the second through ninth week of twelve-week summer courses. This period is pro-rated for shorter-length courses. To withdraw from a course, a student must complete and submit the appropriate course withdrawal form, available at the Enrollment Service Center (no phone calls, please). The designation W will appear on the transcript after a student has officially withdrawn. A course withdrawal is an uncompleted course and may adversely affect financial aid eligibility. Failure to attend or ceasing to attend class does not constitute withdrawal from the course. There is no refund associated with a withdrawal. Plagiarism Statement Adherence to ethical academic standards is obligatory. Cheating is a serious offense, whether it consists of taking credit for work done by another person or doing work for which another person will receive credit. Taking and using the ideas or writings of another person without clearly and fully crediting the source is plagiarism and violates the academic code as well as the Student Code of Conduct. If it is suspected that a student in any course in which s/he is enrolled has knowingly committed such a violation, the faculty member should refer the
matter to the College s Disciplinary Officer and appropriate action will be taken under the Student Code of Conduct. Sanctions may include suspension from the course and a failing grade in the course. Students have the right to appeal these actions to the Disciplinary Committee under the terms outlined in the Student Code of Conduct. Student Code of Conduct The College requires students to conduct their affairs with proper regard and mutual respect for the College and the members of its community. Any conduct that interferes with the orderly business of the College is subject to sanctions as outlined in the student manual, the SMCC Compass. Conduct that is fraudulent, conduct that disregards the welfare of the classroom, improper use of property and other conduct that interferes with the business of teaching and learning will be swiftly dealt with according to the Student Code of Conduct. See the Compass for a full explanation of this policy.
Week 1 May 26 5.1 Angles and Their Measure 5.2 Trigonometric Functions 1.1 Functions 1.2 The Graph of a Function 1.3 Properties of Functions 1.4 Piecewise-defined Functions Week 2 June 2 Add/Drop Ends Tuesday 5:00 pm 1.5 Graphing Techniques: Transformations 1.6 Mathematical Models: Building Functions 1.7 Mathematical Models Using Variation Exam 1 (Chapter 1, Sections 5.1, 5.2) Week 3 June 9 2.1 Linear Functions and Linear Models 2.2 Building Linear Models From Data 2.3 Quadratic Functions and Their Zeroes 2.4 Properties of Quadratic Functions Week 4 June 16 2.5 Inequalities Involving Quadratic 2.6 Building Quadratic Models 2.7 Complex Zeroes of a Quadratic Function 2.8 Absolute Value Functions Week 5 June 23 3.1 Polynomial Functions 3.2 The Real Zeroes of a Polynomials 3.3 Complex Zeroes of Polynomials Week 6 June 30 3.4 Properties of Rational Function 3.5 Graph of a Rational Function 3.6 Polynomial, Rational Inequalities Exam 2 (Chapter 2 and 3) MATH 190 Course Schedule Spring 2015 Week 7 July 7 4.1 Composite Functions 4.2 Inverse Functions 4.3 Exponential Functions 4.4 Logarithmic Functions Week 8 July 14 4.5 Properties of Logarithms 4.6 Log and Exponential Equations 4.7 Financial Models 4.8 Exponential Growth and Decay Week 9 July 21 5.3 Properties of Trigonometric Functions 5.4 Graphs of the Sine and Cosine Functions 5.5 Graphs of Tangent, Cot, Csc, Sec 5.6 Phase Shift Exam 3 ( Chapter 4 and Chapter 5 Week 10 July 28 6.1 The Inverse Sine, Cosine, and Tangent 6.2 The Inverse Trigonometric Functions 6.3 Trigonometric Equations Week 11 August 4 6.4 Trigonometric Identities 6.5 Sum and Difference Formulas 6.6 Double Angle and Half Angle Week 12 August 11 6.7 Product to Sum and Sum to Product. 9.2 The Parabola 9.3 The Ellipse Exam 4(Chapter 6 and Chapter 9)