MATH 20 Intermediate Algebra Course Syllabus Spring Session, 2016 Instructor: Brian Rodas

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1 MATH 20 Intermediate Algebra Course Syllabus Spring Session, 2016 Instructor: Brian Rodas Class Room and Time: MC 70 M-Th 9:30am-10:35am Office Room: MC 35 Office Phone: (310) Office Hours: MTTh 1-2pm, W 1-2pm(Math Study Room MC 84B) and by appointment rodas brian@smc.edu Class Website: brian Text: Intermediate Algebra, 2nd ed., Sullivan and Struve, Prentice Hall, 2010 Supplemental Text: Santa Monica College, Math 20 Supplement Package, 2012 (S) Supplemental Text: Strategies For Success Study Skills for the College Math Student, Marecek, Peason. Course Description: This course is an intensive 5-credit course intended for students who need to take Math 26 or Math 2. Topics to be covered include but are not limited to fundamental operations on algebraic expressions and functions, equations and inequalities in one variable, rational numbers and functions, irrational numbers, complex numbers, quadratic equations and functions, exponential and logarithmic functions, linear and nonlinear systems, matrices and graphing. Emphasis is on advanced factoring and simplification. The prerequisite for this course is Math 31. Format of Course: The first 5-10 minutes of each class will be devoted to addressing students questions regarding homework or material from the previous section. The remainder of the class will be spent presenting new material. Homework: Homework will be assigned daily, collected and graded. The problems assigned are practice problems in understanding the material covered for the day. Homework will be collected on the day of each exam. It has been known that a genuine understanding and completion of the homework results in quality performance. Note that supplemental material/activities given in class or from Strategies For Success will also be collected in the homework packet. Quizzes: Quizzes will be given periodically. They will be approximately 10 minutes long. It has been my nature to give quiz problems identical to the homework. Therefore it would be in your best interest to do the homework. Each quiz is worth ten points. The two lowest quiz scores will be dropped. Exams: There will be five exams and a final. Exams will contain material from the chapter(s) and supplements covered. Each exam is worth 100 points. The lowest exam will be scaled out of 50 points. So if your test scores are 100, 90, 80, 70, and 60 then your test average is ( )/450. The final is worth 200 points and is cumulative. You must show all necessary work on all submitted material including homework, quizzes and exams to receive full credit. Calculators: A calculator is nice to have for this course but is not required. It can be used for tedious exercises, checking answers and explorations but generally is not allowed for quizzes and exams.

2 Grading: Top four exams Lowest exam Quizzes Homework Final exam Total 400 points 50 points 75 points 75 points 200 points 800 points The expectation is that a letter grade will be given using the following scale for the semester average: %(A), 80-89%(B), 70-79%(C), 60-69%(D), 0-59%(F). Academic Conduct: You are expected to abide by Santa Monica College s code of student conduct and academic conduct on all exams, quizzes and homework. Copying homework solutions or quiz or test answers from someone is considered cheating as is altering a quiz or examination after it has been graded or giving answers to someone during an exam or quiz. If caught cheating or using an electronic device during an exam, the parties involved will receive a zero on the exam and an academic dishonesty report will be filed. Also note that cell phones are to be turned off for the duration of each class. Since attendance is essential for normal progress in class, a student is expected to be in class regularly and on time. Missing classes puts you in danger of being dropped. There are no makeup assignments, quizzes or exams. Late assignments will not be accepted. No excuses. Refer to Corsair Connect for all withdrawal dates and deadlines. IT IS THE STUDENT S RESPONSIBILITY TO BE AWARE OF WITHDRAWAL DATES AND TO TAKE THE APPROPRIATE NECESSARY STEPS. If a student does not withdraw and stops coming to class, the student will receive a failing grade. Learning Mathematics: Learning mathematics takes time and consistent effort. Attending class regularly, completing all assignments and reading class notes are essential for success in this course for most students. Students in need of additional assistance should be encouraged to make use of the Math Lab where instructional assistants, tutors and mathematical tutoring software are available. The lab is in MC 84 and is open Monday-Thursday 8am-10pm and Friday 8am-4pm. There is also a Math Learning Resource Center in MC 72 that is open Mon-Thurs 9am-7:30pm. Forming study groups outside of class may also offer further support. Entry Skills for Math 20: Prior to enrolling in Math 20 students 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.

3 Exit skills for MATH 20: Upon successful completion of this course, the student will be able to: A. Simplify advanced numerical and algebraic expressions involving multiple operations. B. Solve linear, quadratic, rational and absolute value inequalities, graph their solution sets, and express the answer in interval notation. C. Solve literal equations for a designated variable. D. Apply algorithms of completing the square, rationalizing the denominator, and long division and synthetic division of polynomials. E. Solve linear, quadratic form, simple cubic, radical, rational, absolute value, elementary exponential, and elementary logarithmic equations. F. Solve systems of linear equations in three variables using matrix row reduction. G. Graph the solution sets of systems of linear and quadratic inequalities. H. Perform operations on complex numbers. I. Perform operations on functions including composition of two functions and determine the domain of the resulting function. J.Use proper mathematical notation to evaluate functions and obtain their inverses. K. State and apply the fundamental properties of exponents and logarithms. L. 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. M. 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. N. 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. O. Graph circles and parabolas using horizontal and vertical translation. P. Evaluate simple expressions involving summation notation. Q. Set up and solve practical applications of the algebraic material.

4 SCHEDULE OF LECTURES, HOMEWORK & EXAMS Date Section Material Homework 2/ Linear Equations in One Variable 35,41-57odd,61,69,79,91,93,97, Introduction to Problem Solving 43-71* 2/ Introduction to Problem Solving 73,77,79,81,83,85, Using Formulas to Solve Problems 24,25,31-59odd 2/ Rectangular Coordinates & Graphs of Equations 17-25odd,29-67odd 63,65,69,73,77, Linear Equations in Two Variables *,125,126 2/ Parallel and Perpendicular Lines 15-51*, Linear Inequalities in Two Variables 9-35odd 2/ Relations 19-51*, Introduction to Functions 9-35odd 2/ Functions and Their Graphs 23-69odd 2/ Linear Functions and Models 21-37*,47-67* 2/ Linear Inequalities in One Variable * 2.5 Compound Inequalities * 3/1 2.6 Absolute Value Equations & Inequalities *, 109 3/2 Review for Exam 1 3/3 Exam 1 on Ch 1 & 2 3/7 3.1 Systems of Linear Equations in Two Variables 17,21,23,24,27-59*, Systems of Linear Equations in Three Variables 13,17,19,21,23,25,29,33,35 3/8 3.4 Using Matrices to Solve Systems 21-31odd,35,41-49odd 3/9 3.4 Using Matrices to Solve Systems 53,55,59,63,67,69,71,73,75, Problem Solving Part odd 3/ Problem Solving Part odd, (Sect 3.3 #47, Sect 3.4 #79) 3/ Systems of Linear Inequalities 11-35odd 3/15 No class 3/ Adding & Subtracting Polynomials 55-71*,73-87odd 4.2 Multiplying Polynomials 47-75*, odd 3/ Dividing Polynomials 19-39*,45-97*,99 S-1 Graphing Reciprocal Function S-1: pg 2-8 3/21 No class 3/ GCF; Factor by Grouping 19-63*,65,79, Factoring Trinomials 57-97*, 101,109,11 3/ Factoring Special Products 33-93*, Factoring: A General Strategy 17-73* 3/ Polynomial Equations 17-85*,87,91,95 3/28 Review 3/29 Exam 2 on Ch. 3 & 4 3/ Multiplying & Dividing Rational Expressions 17-65*,67-87odd 3/ Adding & Subtracting Ratiional Expressions 13-73*,75 S-2 Multiple Operations with Rational Expressions S-2 (pg 9) 4/4 5.3 Complex Rational Expressions 9-41odd S-3 Evaluating Rational Expressions S-3 (pg 10) 4/5 5.4 Rational Equations 15-63* 4/6 5.5 Rational Inequalities 5-33odd 4/7 5.6 Models Involving Rational Expressions 9-41odd

5 Date Section Material Homework SPRING BREAK 4/11-4/15 4/ nth Roots & Rational Exponents * 4/ Laws of Exponents 17-81* 4/ Properties of Radicals 30,31-131*,133 4/ Adding, Subtracting & Multiplying Radical Expressions 19-99* 4/ Rationalizing Radical Expressions 13-85*,87,91a 4/ Functions Involving Radicals 9-57odd S-4 Graphing Radical Functions S-4 (pg 11-14) 4/ Radical Equations 13-69* 4/ Complex Number System * 5/2 Review 5/3 Exam 3 on Ch. 5 & 6 5/4 8.1 Composite Functions & Inverse Functions 17-89* 5/5 8.1 Composite Functions & Inverse Functions 91,93,97,99, Exponential Functions 23-30, 31-53odd 5/9 8.2 Exponential Functions 55-85odd,87,95, Logarithmic Functions 23-59*,61-71odd 5/ Logarithmic Functions *, 123, Properties of Logarithms 27-99odd 5/ Properties of Logarithms Exponential & Logarithmic Equations 11-17odd,33-45odd, 51-59odd 5/12 Review 5/16 Exam 4 - Ch. 6 & 8 5/ Completing the Square 19-83* 7.2 Quadratic Formula 21-77*, 79 5/ Quadratic Formula 83-99* 7.3 Solving Eqns in Quadratic Form 13-77* 5/ Graphing Quadratics using Transformations 17-77*, 81,85 S-5 Graphs of Other Functions S-5(pg 15-17) 5/23 S-6 Graphs of Other Functions S-6 (pg 18) 7.5 Graphing Quadratics Using Properties 43,51,59,63-73odd,85,89,91 5/ Quadratic Inequalities 5-45odd S-7 Inequalities S-7 (pg 19) 5/ Circles 13-33*, 37-43odd, Parabolas 13-20,23,39-47odd 5/ Systems of Nonlinear Equations 5-35odd, 39 S-8 Solutions of Nonlinear Systems of Inequalities S-8(pg 20) 5/30 Memorial Day (No class) 5/ Sequences 33-43odd 6/1 Review for Exam 5 6/2 Exam 5 on Ch 7 & 9 6/6 REVIEW for final 6/9 FINAL EXAM 8am-11am * Every other odd The instructor does reserve the right to add or modify the syllabus at the instructor s discretion.

6 Course Content: 15% -Elementary Algebra Refresher 20% -Advanced Algebraic Factoring and Simplification 15% -Function concepts 15% -Graphing concepts 20% -Equation & Inequality Solving Strategies 15% -System Solving Strategies Student Learning Outcomes: The knowledge, skills, or abilities that the student will demonstrate by the end of the semester. 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. Given an algebraic expression involving multiple operations, students will derive an equivalent expression that is in simplest terms. 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. Given equations such as linear, quadratic, logarithmic and exponential, students will solve for the indicated variable.

Math 098 Intermediate Algebra Spring 2018

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