Math 120: Intermediate Algebra

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1 SUMMER 2017 CONSUMNES RIVER COLLEGE CRN Math 120: Intermediate Algebra Course Times: MTWTh 11:00 1:35pm Course Location: L 110 Instructor: Piyali Markalanda markalp@crc.losrios.edu Course Description This course extends the concepts of elementary algebra with problem solving skills and applications emphasized throughout. Topics which are briefly reviewed and subsequently extended include: solving equations (quadratic, radical, rational, and systems of linear equations), graphing linear equations, simplifying expressions (polynomial, rational, radical, and those involving integer exponents), and factoring polynomials. New topics include: solving more complex equations and inequalities (exponential, logarithmic, linear and quadratic inequalities, and systems of non-linear equations), graphing more complex equations (quadratics, circles, and various functions using transformations), functions and their properties, exponential and logarithmic functions and their properties. Prerequisite MATH 100 or 102 with a grade of "C" or better; or equivalent skills demonstrated through the assessment process. Required Materials o Modeling, Functions, and Graphs 3 rd edition by Yoshiwara (ebook or hardcopy) o Scientific calculator Student Learning Outcomes (SLOs) Upon completion of this course, the student will be able to: SLO 1: Identify and analyze linear behavior, models, and graphs of linear equations and linear inequalities. Utilize the properties of linear equations to solve linear inequalities, and solve absolute value equations and inequalities o interpret the slope of a linear equation as a rate of change. o generate an algebraic model for data that follows linear behavior and interpret the results of this model. o sketch the graph of a linear inequality using its algebraic representation. SLO 2: Solve systems of linear equations and systems of linear inequalities as well as their applications graphically and algebraically o calculate the solution to 2x2 and 3x3 systems of linear equations by using substitution, elimination, and graphs (for 2x2 systems), as well as determine whether a system is inconsistent, consistent and independent, or dependent. o construct systems of linear equations for applications and find their solution. o compute the solution to a system of linear inequalities using a graph and describe the meaning of this solution.

2 SLO 3: Recognize the behavior of exponential and logarithmic functions and their graphs. Apply the properties of exponential and logarithmic expressions to simplify and solve equations involving such expressions o evaluate algebraic expressions involving exponents and logarithms and convert between these two types of expressions. o produce the algebraic model of an exponential function using data points and use properties of exponential functions to derive conclusions. o employ the properties of exponents and logarithms to solve equations involving exponential and logarithmic expressions. o draw the graph of exponential and logarithmic functions using both point plotting and the properties of transformations. o consolidate and expand logarithmic expressions using the properties of logarithms. SLO 4: Identify, simplify, evaluate, and graph quadratic functions using the properties of quadratic functions and transformations o demonstrate the properties of transformations by graphing a quadratic function, identifying the vertex and the intercepts with the axes. o choose from among factoring (and using the Zero Factor Property), extraction of roots, completing the square, or the quadratic formula to solve a quadratic equation. o apply properties of quadratic functions to create and solve quadratic models and to derive conclusions about the solutions. SLO 5: Simplify polynomial expressions, evaluate polynomial functions, and solve equations involving polynomial expressions and their applications o investigate polynomial division by performing long division on polynomial expressions. o extend factoring techniques to include the sum and difference of cubes. o adapt factoring to include expressions that are quadratic in form. o graph a circle given its equation in standard form as well as use the distance and midpoint formulas to find the equation of a circle given conditions. SLO 6: Simplify and solve rational and radical expressions and equations (including those with higher roots) o perform arithmetic on rational and radical expressions and write results in simplified form. o simplify complex fractions. o manipulate equations involving rational or radical expressions to arrive at a nonextraneous solution. o recognize and solve applications that involve rational or radical expressions. SLO 7: Use, interpret, and simplify functions, inverse functions, and combination functions o understand and use the definition of a function and interpret the difference between a relation and a function o describe the domain and range of functions. o compose the graph of a function from tabular data, a word problem, or algebraic form. o perform composition of functions as well as arithmetic on combinations of functions. o find the inverse of a function algebraically and graphically o interpret the meaning of the inverse in application problems

3 ing Policy When ing me, remember to include Math 120 in the subject line. During Monday Thursday, I will answer your within 24 hours. If you me during the weekend (Friday Sunday), expect a response the following Monday. Classroom Standards 1. Arrive on time. To arrive late is disruptive and rude. 2. Turn off and put away all electronic devices including cell phones, ipods, and laptops. Do not text message during class or you may be asked to leave. 3. Participate with the instructor in the activity of working problem solutions as they are presented. 4. Do not leave lecture early. If you need to leave early, see the instructor before class begins. 5. No food or drink in the classroom (exception: bottled water with cap on). 6. Regular attendance is necessary and expected. Students who do not attend class and participate in lecture on a regular basis tend to fail the course on a regular basis. You are responsible for all instruction and announcements given in lecture whether you are present or not. Two (2) absences may warrant an instructor-initiated drop. Classwork Every day during class, there will be some sort of in class activity where you will either work on problems by yourself or within a group. You must be present and be an active participant in your group. You will turn in the classwork along with the homework for the same section. Homework Homework is due every exam day at the beginning of class. Problems are assigned on the corresponding classwork. Each section is considered one homework assignment. HOMEWORK GUIDELINES 1. Late Homework will get half credit. 2. Staple/Paperclip all pages within each section. (Unstapled assignments will get half credit). 3. Staple corresponding classwork in front. 3. Write your name on each assignment! Tests There will be approximately 9 tests, refer to the schedule to see the tentative dates of the exams. The exams are closed-book/notes. There will be NO MAKE-UP EXAMS. If beneficial, I will replace your lowest test score with your final exam grade. Final Exam The Final exam cannot be missed or made-up. It must be taken in order to receive a passing grade in the course. The final exam is cumulative and will be on July 27 th 11-1pm. You must take the final on this day and time. Grading Attendance 5% Classwork/Homework 12% Tests 63% Final Exam 20% A % B 80-89% C 70-79% D 60-69% F Below 59%

4 Resources for Help ² Classmates and Study Groups ² Math Center (LRC 205) ² Tutoring Center (LRC 216) Drops It is the student s responsibility to confirm a drop with Admissions and Records. The last day to drop with a W for this class is July 14 th. If you have not dropped by this date, you will be issued a grade for the course. However, two (2) unexcused absences may result in an instructor-initiated drop. Being tardy or leaving class early will be counted as ½ an absence. Academic Honesty Academic dishonesty includes, but is not limited to, the following: Cheating, Plagiarism, Collusion, and/or other dishonest conduct. Students are expected to abide by ethical standards in preparing and presenting material which demonstrates their level of knowledge and which is used to determine grades. Such standards are founded on basic concepts of integrity and honesty. Students share the responsibility for maintaining academic honesty and are expected to: 1. Refrain from acts of academic dishonesty. 2. Refuse to aid or abet any form of academic dishonesty. 3. Notify instructors and/or appropriate administrators about observed incidents of academic dishonesty. Any act of academic dishonesty will result in an F on the assignment and referral to the dean. The school s academic honesty policy can be found in the Cosumnes River College catalog or online at You will be held responsible for knowing and adhering to this information about cheating and plagiarism. Academic Accommodations A student who feels he or she may need an accommodation based on the impact of a disability should contact Disabled Students Program & Services at (916) or visit DSPS at BS-104. For students who have already been determined eligible for DSPS services, please provide the instructor with the proper form from DSPS in a timely manner, at the beginning of the semester and at least one week prior to the verified and identified need.

5 Math 120 Tentative Schedule These dates are tentative to change. If any changes are made, they will be announced in class June 9 th is the last day to: Drop a class without a W Add a class July 14 th is the last day to drop with a W Monday Tuesday Wednesday Thursday Test Test Test Test Test NO CLASS 6.1 Test Test Test Final Test 9 Review Final All information on the syllabus is subject to change if the instructor finds it necessary. Any changes will be announced during a class session. Absent students are still responsible for any announced changes. It is the student s responsibility to determine from their peers what they missed in class due to an absence.

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