Math 20 – Intermediate Algebra – Fall 2017 Santa Monica College

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INSTRUCTOR INFORMATION

Instructor: Kristin Lui-Martinez Email: Lui-Martinez_Kristin@smc.edu Voicemail: (310) 434-8822 Office: Math Complex 36

Office Hours: MW 10:45 am – 11:45 am @ MC 36 Th 12:45 pm – 1:45 pm @ MC 36

Or by appointment

COURSE INFORMATION

Section: 2794 Units: 5 Dates: August 28th – December 11th

Meeting Days: MTWR Meeting Times: 8:15 am – 9:20 am Location: LA 228

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. Emphasis is on advanced algebraic factoring and simplification. REQUIRED MATERIALS Textbook: Intermediate Algebra: Concepts and Applications. 10th Edition. Bittinger. Pearson. 2018. ISBN: 9780134507378 MyMathLab: www.mymathlab.com Bundles of the textbook and MathLab access code are available in the SMC bookstore. You may also buy a standalone code for online access only (no physical textbook). PREREQUISITES Math 31 (Elementary Algebra) with a grade of “C” or higher. ATTENDANCE Attendance will be taken for each class meeting. I may drop you from the class if you have more than four unexcused absences. Speak to me in person or email me prior to or within a day after your absence. It is your responsibility to withdraw from the course if you want a refund or “W” grade. Do not rely on me to withdraw you. EMAIL COMMUNICATION I will use the SMC email system to communicate important information to the class. Check your SMC email regularly. I respond faster to emails that are CLEAR and CONCISE. Avoid using run-on sentences. When you email me, include the following either in the subject line or the email body:

• Your name • The class you are in: Math 20

Math 20 – Intermediate Algebra – Fall 2017 Santa Monica College

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COURSE ENTRANCE SKILLS

Simplify and perform basic operations on rational expressions. Perform basic operations on polynomials. Factor general trinomials at an elementary level. Solve linear equations in a single variable over the rationals. Solve second degree polynomial equations in a single variable over the rationals by factoring. Simplify square roots. Solve first degree linear inequalities in a single variable. Solve applications involving equations in a single variable. Solve linear systems of two equations in two variables. Graph first degree equations/inequalities in one and two variables.

COURSE OBJECTIVES – EXIT SKILLS Upon completion of this course, a student will be able to:

Simplify advanced numerical and algebraic expressions involving multiple operations. Solve linear, quadratic, rational and absolute value inequalities, graph their solution sets, and

express the answer in interval notation. Solve literal equations for a designated variable. Solve linear, quadratic form, simple cubic, radical, rational, absolute value, elementary

exponential, and elementary logarithmic equations. Apply algorithms of completing the square, rationalizing the denominator, and long division and

synthetic division of polynomials. Graph the solution sets of systems of linear inequalities. Perform operations on complex numbers. Determine the sum, difference, product and quotient of functions and determine their domains. Determine the composition of elementary functions. Use proper mathematical notation to evaluate functions and obtain their inverses. State and apply the fundamental properties of exponents and logarithms. Demonstrate knowledge of standard vocabulary associated with graphing, including but not

limited to slopes of lines, intercepts, vertices of parabolas, asymptotes, and interplay between graph and functional notation.

Determine, given its graph, whether a relation is a function and whether it is one-to-one, and determine its intercepts and domain and range.

Graph and determine the domain and range of linear, quadratic, simple cubic, radical, reciprocal, absolute value, exponential and logarithmic functions.

Graph circles and parabolas using horizontal and vertical translation. Set up and solve practical applications using algebraic concepts. Determine the distance between two given points in the Cartesian plane, and find the midpoint of

the line segment joining them. STUDENT LEARNING OUTCOMES

1. Given an algebraic expression involving multiple operations, derive an equivalent expression that is in simplest terms.

2. Given a linear, quadratic, simple cubic, radical, reciprocal, absolute value, exponential or logarithmic function, sketch its graph using horizontal and vertical translations and determine its domain and range.

3. Given equations such as linear, quadratic, logarithmic and exponential, solve for the indicated value.

4. Develop student 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.

Math 20 – Intermediate Algebra – Fall 2017 Santa Monica College

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GRADES Course grades are determined by the following: Homework 5% Exams 60% Quizzes 10% Final Exam 25% 100%

Letter grades will be assigned by the scale below: A 90%-100% B 80% - 89% C 70% - 79% D 60% - 69% F 59% or below

Exams There will be five exams during the semester. Each exam is worth 12% of your

total grade. Exams must be taken in class. Calculators, books, and notes are not allowed during exams. There are no make-up exams. I may replace your lowest exam score with the percent you earn on the final.

Quizzes Short quizzes will be given in class. Calculators, books, and notes are not

allowed during quizzes. Quizzes will be announced in class and on Canvas. There are no make-up quizzes. Two of the lowest quiz scores will be dropped.

Homework The homework assignments will be online through www.mymathlab.com . I will

drop the five lowest homework scores. Lectures are written with the assumption that you understand the previous sections presented.

Final Exam The final exam is worth 30% of your grade and is cumulative. The final will be given on Wednesday, December 13th at 8am – 11am in our regular class room. No make-ups. If you earn 94% or higher on ALL exams, I may allow you to skip the final exam.

ONLINE RESOURCES

• Professor Lui’s Homepage http://homepage.smc.edu/lui-martinez_kristin/ • Canvas http://online.smc.edu • SMC Math Lab: http://tinyurl.com/SMCML • WolframAlpha: http://wolframalpha.com

IMPORTANT DATES Double Check all dates.

• Withdraw with Refund …………………………Sunday, September 10th • Withdraw to Avoid “W” Grade ………………. ..Sunday, September 10th • Withdraw with “W” Grade.……………………..Sunday, November 19th

• Labor Day………………………………………..Monday, September 4th • Veteran’s Day……………………………….…..Friday, November 10th • Thanksgiving …………………………………..Thursday, Nov. 23rd – Friday, Nov. 24th

Math 20 – Intermediate Algebra – Fall 2017 Santa Monica College

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ETHICAL CONDUCT Cheating will not be tolerated. Any student caught cheating on any exam or quiz will receive 0 points for that assessment. It is your responsibility to familiarize yourself with The Code of Academic Conduct, which is printed in the General Catalog. Please be extremely careful that you do not engage in any behavior that could even be construed as cheating. Violations could result in failing grades, reports to the Campus Disciplinarian, and subsequent academic disciplinary action. Examples of cheating include but are not limited to: • Exchanging (giving or receiving) information with another person during a quiz or exam • Using aids/notes/digital devices not permitted during a quiz or exam • Using false excuses to obtain extensions of time or special privileges • Copying work from another person, an answer key, or solution manual and turning it in as

your own. • Helping someone else cheat. • Breaking any other states rules for a given quiz or exam.

STUDENTS WITH DISABILITIES Santa Monica College accommodates students with disabilities. If you qualify for any special accommodations due to a disability, you need to officially process your request through the Disabled Students Programs and Services (DSPS) office as close to the beginning of the semester as possible. If you believe you have a learning disability that has not yet been documented, please see me and make an appointment at the DSPS office for assistance. The DSPS office is located in the Admissions/Student Services Complex, Room 101, and the phone numbers are (310) 434-4265 and (310) 434-4273 (TDD). Scheduling of accommodated exams will be arranged on a case-by-case basis. WITHDRAWAL It is the student’s responsibility to withdraw from the course. Do not rely on me to withdraw you from the course. Visit the Corsair Connect Portal for dates and deadlines. DISCLAIMER The instructor reserves the right to alter this syllabus to conform to Santa Monica College policies, state law, or to improve the quality of education offered by the class. Any changes will be announced in class and emailed.

Math 20 – Intermediate Algebra – Fall 2017 Santa Monica College

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Week Monday Tuesday Wednesday Thursday August 28 August 29 August 30 August 31 1 Intro, 2.1 - Graphs 2.2 - Functions 2.3 - Linear Functions 2.4 - Linear Graphs September 4 September 5 September 6 September 7

2 Holiday - No Class 2.5 - Equations of Lines 2.6 - Algebra of Functions

3.1 - Systems of Equations 3.2 - Elimination and Substitution

3.2 - Elimination and Substitution 3.3 - Applications

September 11 September 12 September 13 September 14

3 3.4 - Systems of Three Variables 3.5 - Applications Review Exam 1

2.1 - 2.6, 3.1 - 3.5 September 18 September 19 September 20 September 21

4 4.1 - Inequalities 4.2 - Sets 4.3 - Absolute Value Equations and Inequalities

4.4 - Inequalities in Two Variables

September 25 September 26 September 27 September 28

5 5.1 - Polynomials 5.2 - Multiplication of Poly 5.3 - Common Factors 5.4 - Factoring Trinomials 5.5 - Factor Special Forms

5.6 - Factoring Cubes October 2 October 3 October 4 October 5

6 5.7 - General Factoring 5.8 - Solving Equations Review Exam 2

4.1 - 4.4, 5.1 - 5.8 6.1 - Multiply and Divide Rational Expressions

October 9 October 10 October 11 October 12

7 6.2 - Add and Subtract Rational Expressions 6.3 - Complex Fractions 6.4 - Rational Equations 6.5 - Applications

October 16 October 17 October 18 October 19 8 6.6 - Dividing Polynomials 6.7 - Synthetic Division 7.1 - Radical Expressions 7.2 - Rational Exponents October 23 October 24 October 25 October 26

9 7.3 - Multiplying Radical Expressions

7.4 - Dividing Rational Expressions 7.5 - Algebra of Radicals 7.6 - Solving Radical

Equations October 30 October 31 November 1 November 2

10 7.7 - Distance and Midpoint Formulas 7.8 - Complex Numbers

Review Exam 3 6.1 - 6.7, 7.1 - 7.8

9.1 - Composite and Inverse Functions

November 6 November 7 November 8 November 9

11 9.2 - Exponential Functions 9.3 - Logarithmic Functions

9.4 – Property of Logs 9.5 - Common and Natural Logarithms

9.6 - Solving Exponential and Logarithmic Equations

November 13 November 14 November 15 November 16

12 9.6 - Solving Exponential and Logarithmic Equations

10.1 - Parabolas and Circles

10.4 - Nonlinear Systems of Equations Review

November 20 November 21 November 22 November 23

13 Exam 4 9.1 - 9.6, 10.1, 10.4

8.1 - Sqrt Property and Completing the Square

8.2 - Quadratic Formula 8.3 - Discriminant Holiday - No Class

November 27 November 28 November 29 November 30

14 8.4 - Applications 8.5 - Quadratic-like Equations

8.6 - Graphs of Quadratic Functions 8.7 - Graphing

December 4 December 5 December 6 December 7

15 8.8 - Max and Min 8.9 - Poly and Rat Inequalities Review Exam 5

8.1 - 8.9 December 11 December 12 December 13 December 14

16 Final Exam Review Final Exam @ 8 am - 11 am