Course Name: MATH 81

MATH 20 Spring 2015 Section 4303 MW 5:00-7:25 pm LS 201 MICHAEL CHITGAR Email: [email protected] Homepage: http://homepage.smc.edu/chitgar_michael/ Contact number (Emergency ONLY): (310) 434-4548 Office hours: Tuesday, 5:04-6:40 pm, MC 39

Course Description: Topics include rational, irrational and complex numbers; fundamental operations on algebraic expressions and functions; introduction to polynomial, rational, exponential and logarithmic functions, equations and graphs; circles and parabolas; matrix row reduction. Emphasis is on advanced algebraic factoring and simplification. Math 20 is a 5-unit course.

Student Learning Outcomes: 1- Students will develop success skills and academic behaviors including use of class notes and required text, regular attendance, timeliness, participation in class activities, and adherence to the College Honor Code and other codes of conduct. 2- Given an algebraic expression involving multiple operations, students will derive an equivalent expression that is in simplest terms. 3- Given a linear, quadratic, simple cubic, radical, reciprocal, absolute value, exponential or logarithmic function, students will sketch its graph using horizontal and vertical translations and determine its domain and range. 4- Given equations such as linear, quadratic, logarithmic and exponential, students will solve for the indicated variable.

Course objectives: Please go to page 7 of this syllabus under Exit Skills topic for more information.

Prerequisite: Math 31 or Math 49 with a grade of C or better, or placed in this course by the Assessment Office.

TEXTBOOK: Intermediate Algebra, Michael Sullivan, Katherine Struve, Second Edition, Pearson Prentice Hall Publishing Company, 2012. Strategies For Success: Custom Edition for Santa Monica College, Lynn Marecek, Pearson, 2012. Math 20 Supplement, Mazorow, SMC, 2012

Method of Presentation: Lecture, active student participation

Method of Evaluation: Your final grade will be based on the cumulative number of points in this class, which is the sum of three highest test grades and the score on the final exam. Although homework will have no points in this class, I strongly advise you to do your homework to get prepared for the tests and final exam. There are NO extra credit activities for this class.

Grading Scale: Tests (4) @ 100 points each* 90% - 100% = A 405 – 450 points Final Exam 150 points. 80% - 89% = B 360 - 404 points 70% - 79% = C 315 – 359 points 60% - 69% = D 270 – 314 points Below 60% = F 0 - 269 points

The total possible points in this class will be 450 points.

Homework: HOMEWORK WILL BE COLLECTED ON THE DAY OF EACH TEST. Homework is an essential part of the class, so you should do them as completely and as accurately as possible. Please use a pencil to do your homework. Homework should be STAPLED, with your name written on the first page, so they may be easily identified when passed back. Unstapled homework will be Rejected. LATE HOMEWORK GETS NO CREDIT.

Test Make up and Calculator Policy: No calculators are allowed in this class on the tests or final exam. *THERE WILL BE ABSOLUTELY NO MAKE-UP TESTS OR FINAL. The lowest test grade will be dropped in calculating your grade for the course. So, only 3 tests plus the final exam grades are added to determine your grade in this course.

Attendance, Drop and Withdrawal Policy: Withdrawal from class is your responsibility. If you stop attending class and do not inform me of your intention to drop, you risk receiving a failing grade of F for the course. Please check with the schedule of classes regarding withdrawal dates and policies at: http://www2.smc.edu/schedules/2015/spring/

YOU MAY BE DROPPED FROM THE COURSE IF YOU HAVE FOUR OR MORE ABSENCES DURING THE SEMESTER.

Your grade will be a ‘W’ if you get dropped by the end of the eighth week of the semester, or an ‘F’ if you get dropped after the eighth week of the semester. Any emergencies should be reported to me by email immediately.

If you miss a lecture, make sure to check with a classmate about announcements that I normally make at the beginning of each lecture.

Class Policies: Academic Honesty: SMC has a clearly defined Honor Code, to which each student agrees during the enrollment process each semester. The Honor code may be found at: http://www.smc.edu/StudentServices/HonorCouncil/Pages/Honor-Code.aspx

If the instructor determines that a student has violated the SMC Honor Code and/or the Code of Academic Integrity, the student may be assigned no credit. Future occurrences could result in Academic disciplinary action. According to the Santa Monica College’s Student Rule of Conduct, a faculty member can remove a student from class for violations of the above mentioned rule for cheating, plagiarism, and inappropriate behavior in class, and the student will be reported to the College Disciplinarian.

Classroom conduct: Please try to be punctual in my class. If you are late for more than TEN minutes, please Do Not enter class until break time. Leaving class before the lecture is over, is considered an absence, unless prior arrangements have been made with me. You will be prevented from coming to class for two class meetings and reported to the College Disciplinarian, if I find you texting, or your phone goes off during class lecture.

Food or drink is prohibited in the classroom with the exception of water bottles.

It is your responsibility to familiarize yourself with The Code of Academic Conduct, which is printed In the General Catalog and available online through the website: http://www.smc.edu/StudentServices/HonorCouncil/Pages/Honor-Code.aspx Student Resources: Please Do Not call the Math Department to leave a message for me. Please put ‘Math 20’ in the subject line of your email and wait to get a response back from me within a day. If you do not hear from me it is an indicative that I might not have received your email.

Students in need of additional assistance outside of the class lecture should go to the Math Lab, MC 84, where Instructional Assistants and Math Tutors are available to help you at no charge to you.

Although there is no mandatory Math Lab hours required for this course, I suggest you plan on a minimum of TWO hours of outside work for each hour of class lecture.

The Math department’s website address is at http://www.smc.edu/math/ where you can find a wealth of information.

Students requesting disability-related accommodations should contact the Disabled Student Services as soon as possible.

Class participation and doing homework are very important in learning mathematics. Please do your homework as soon as we finish each section.

Fairness and Respect: No matter who you are, what you do, or where you come from outside our class, you have entered an environment (our classroom) that is fair, where everyone begins and works on the same level playing field.

I will show no favoritism for any reason. If you ever feel that I have treated you unfairly or have disrespected you in ANY way, please let me know so we can quickly fix the problem. My job is to work with you so that you learn as much as possible in our class. Your success and future is solely YOUR responsibility.

Disclaimers: Some elements of the syllabus may be changed at the instructor’s discretion. The changes will be communicated via official emails. Students will be given at least 48 hours notice of changes whenever possible.

Instructor errors: Please let me know, promptly and courteously, if I have made a mistake in class, of if I have made a mistake in grading. I appreciate the feedback.

If there is any aspect of this syllabus which you do not understand, or to which you take exception, please let me know within the first week of class.

Your continued attendance in this course constitutes an acknowledgment and acceptance of the requirement delineated in this syllabus.

Good luck and have a nice Spring semester.  - 4 - MATH 20 Section 4303 MICHAEL CHITGAR Spring 2015 SEMESTER ASSIGNMENT LIST

SECTION / PAGE PROBLEMS 1.4 89 31 - 113 EOO (Every Other Odd) 1.5 102 17 - 57 EOO 1.6 118 37 - 125 EOO 1.7 126 15 - 51 EOO 1.8 132 9 - 33 Odd

2.1 152 15 - 33 EOO 2.2 160 19 - 57 EOO 2.3 171 17 – 63 EOO 2.4 184 19 – 55 EOO 2.5 197 29 – 93 EOO 2.6 208 39 – 83 EOO 2.7 216 9 – 33 Odd Test One on the above two chapters.

3.1 238 17 – 61 EOO 3.2 251 9, 11, 13, 15, 19, 21, 23, 39, 41, 43 3.3 262 11 – 39 EOO 3.4 276 17 - 71 EOO 3.6 293 11 – 35 EOO

4.1 328 25 – 83 EOO 4.2 338 25 – 95 EOO 4.3 350 17 – 79 EOO 4.4 357 19 – 63 EOO 4.5 368 25 – 97 EOO 4.6 375 17 – 95 EOO 4.7 382 17 – 73 EOO 4.8 392 17 – 71 EOO, 95, 97, 99 Test Two on the above two chapters.

5.1 419 17 - 79 EOO 5.2 429 13 – 71 EOO 5.3 438 9 - 43 EOO 5.4 446 15 – 63 EOO 5.5 453 5 – 29 EOO, 35 5.6 462 9 – 31 Odd

6.1 485 35 – 97 EOO 6.2 491 17 – 63 EOO 6.3 500 29 - 133 EOO 6.4 506 17 – 97 EOO 6.5 511 13 – 73 EOO 6.6 518 9 – 51 EOO 6.7 526 13 - 59 EOO 6.8 537 21 – 101 EOO Test Three on the above two chapters.

SECTION / PAGE PROBLEMS 7.1 557 19 - 81 EOO 7.2 570 21 – 89 EOO 7.3 579 13 – 71 EOO 7.4 593 17 – 77 EOO 7.5 605 15 – 71 EOO, 85 – 93 Odd 7.6 616 5 – 39 EOO

8.1 637 17 - 87 EOO 8.2 653 19 – 77 EOO, 87, 89 8.3 666 23 – 67 EOO, 89 – 105 EOO 8.4 676 27 – 91 EOO 8.5 684 11 – 67 EOO Test Four on the above two chapters.

9.1 699 9 – 43 EOO 9.2 705 11 - 47 EOO 9.3 713 13 – 25 EOO, 39 – 49 EOO 9.6 738 5 – 37 Odd 10.1 751 33 – 43 Odd

Final Exam will be cumulative (Chapters 1-10).

HOMEWORK IS DUE ON THE DAY OF EACH TEST.

Good luck.  - 6 - MATH 20 Section 4303 MICHAEL CHITGAR Spring 2015

Tentative Test and Lecture Dates for Math 20:

Date Sections ------2/18/2015 1.4, 1.5 2/23/2015 1.6, 1.7, 1.8 2/25/2015 2.1, 2.2, 2.3 3/02/2015 2.3, 2.4, 2.5 3/04/2015 2.6, 2.7 3/09/2015 TEST 1 (homework for chapters 1, 2 is due), 3.1 3/11/2015 3.2, 3.3 3/16/2015 3.4, 3.6, 4.1 3/18/2015 4.1, 4.2, 4.3 3/23/2015 4.4, 4.5, 4.6 3/25/2015 4.7, 4.8 3/30/2015 Review, TEST 2 (homework for chapters 3, 4 is due), 5.1 4/01/2015 5.2, 5.3, S-2 4/06/2015 5.4, 5.5, S-3 4/08/2015 5.6, 6.1, S-7 problem #1 4/13/2015 No Class (Spring Break) 4/15/2015 No Class (Spring Break) 4/20/2015 6.2, 6.3 4/22/2015 6.4, 6.5, 6.6 4/27/2015 6.6, 6.7, S-7 problem #2, S-4 4/29/2015 TEST 3 (homework for chapters 5, 6 is due), 6.8 5/04/2015 7.1, 7.2, 7.3 5/06/2015 7.3, 7.4, 7.5, S-5, S-6 5/11/2015 7.5, 7.6, 8.1 5/13/2015 8.2, 8.3 5/18/2015 8.4, 8.5 5/20/2015 TEST 4 (homework for chapters 7, 8 is due ), 9.1 5/25/2015 No Class, College Holiday (Memorial Day) 5/27/2015 9.2, 9.3 6/01/2015 9.6, 10.1, S-8 6/03/2015 Graphing Reciprocal Functions, S-1, S-15 6/08/2015 Review 6/15/2015 Final Exam from 3:30 pm to 6:30 pm. The final exam will be on chapters 1 through 10.

Student Deadlines:

Please check your Corsair Connect account for each class for deadline to withdraw to receive an enrollment fee and avoid a ‘W’, to receive a guaranteed ‘W’ on your transcript, or to apply for Pass/No Pass grade.

Math 20 Entry-Exit Skills

MATH 20, INTERMEDIATE ALGEBRA

I expect every student in my class to be completely familiar with the material mentioned in the Entry Skills requirements for this class. If you have not met the prerequisite for Math 20 or are not familiar with the following subjects, I strongly advise you to drop this course and take Math 31 instead.

Entry Skills/ Knowledge: Student should be able to: (A) Simplify and perform basic operations on rational expressions. (B) Perform basic operations on polynomials. (C) Factor general trinomials at an elementary level. (D) Solve linear equations in a single variable over the rationals. (E) Solve second degree polynomial equations in a single variable over the rationals by factoring. (F) Simplify square roots. (G) Solve first degree linear inequalities in a single variable. (H) Solve applications involving equations in a single variable. (I) Solve linear systems of two equations in two variables. (J) Graph first degree equations/ inequalities in one and two variables.

Exit Skills/ knowledge: Student should be able to: (1) Simplify advanced numerical and algebraic expressions involving multiple operations. (2) Solve linear, quadratic, rational and absolute value inequalities, graph their solution sets, and express the answer in interval notation. (3) Solve literal equations for a designated variable. (4) Solve linear, quadratic form, simple cubic, radical, rational, absolute value, elementary exponential, and elementary logarithmic equations. (5) Apply algorithms of completing the square, rationalizing the denominator, and long division and synthetic division of polynomials. (6) Solve systems of linear equations in three variables using matrix row reduction. (7) Graph the solution sets of systems of linear and quadratic inequalities. (8) Perform operations on complex numbers (9) Perform operations on functions including composition of two functions and determine the domain of the resulting function. (10) Use proper mathematical notation to evaluate functions and obtain their inverses. (11) State and apply the fundamental properties of exponents and logarithms (12) Demonstrate knowledge of standard vocabulary associated with graphing, including but not limited to slopes of lines, intercepts, vertex of parabola, asymptotes and interplay between graph and functional notation. (13) Given its graph, determine whether a relation is a function and whether it is one-to-one, and determine its intercepts and domain and range. (14) Graph using horizontal and vertical translations and determine the domain and range of linear, quadratic, simple cubic, radical, reciprocal, absolute value, exponential and logarithmic functions. (15) Graph circles and parabolas using horizontal and vertical translation (16) Evaluate simple expressions involving summation notation. (17) Set up and solve practical applications of the algebraic material.