1 MATH 20 Intermediate Algebra Course Syllabus Fall Session, 2011 Instructor: Brian Rodas Class Room and Time: MC 10 M-Th 12:45pm-1:50pm Office Room: MC 35 Office Phone: (310) Office Hours: M 2:30-3:30pm, TTh 2-3pm and W 2:30-3:30pm(Math Study Room MC 84) and by appointment rodas Class Website: brian Text: Intermediate Algebra, 6th ed., Dugopolski, McGraw Hill, 2009 Supplemental Text: Santa Monica College, Math 20 Supplement Package, 2010 Course Description: This course is an intensive 5-credit course intended for students who need to take Math 26, Math 2 or Math 41. 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 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. It has been known that a genuine understanding and completion of the homework results in quality performance. 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. 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).
2 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 the school s web page, for withdrawal dates. Note that the last day to withdraw with a guaranteed W is 10pm October 23, 2011 by phone/web. 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 open Monday-Thursday 8am-10pm and Friday 8am-4pm. 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. 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.
3 SCHEDULE OF LECTURES, HOMEWORK & EXAMS Date Section Material Homework 8/ Linear Equations in One Variable 23,31,33,37,41,49,51,69,77,79,81,83, Formulas and Functions 7,13,15,19,23,25,29,31,33,37,51,53,57 8/ Applications 9,11,21,33,37,43 8/ Inequalities 15,17,21,25,27,31,35,39,41,45,49,55,59, 63,65,69,73,77, Compound Inequalities 7,11,15,17,21,25,27,29,33,35, 39,43,47,49,53,57,59,61,65, 67,71,93c 9/1 2.6 Absolute Value Equations and Inequalities 3,4,7,11,15,19,21,25,29,33,37,41,43, 47,51,55,59,61,65,69,73,77,81,83,87 9/5 Labor Day(No class) 9/6 3.1 Graphing Lines in the Coordinate Plane 7,11,19,23,27,31,35,41,45,47,57,73,75, 79,83a 3.2 Slope of a Line 7,9,11,15,19,23,25,33,41,43, 47,53,55,61,63,65 9/7 3.3 Three Forms for the Equation of a Line 7,11,19,25,33,37,41,45,51,55,59, 63,67,69, 73,77,85,89,97,103 9/8 3.5 Functions and Relations 11,17,27,33,35,41,49,53,61,65,69,73,77,79,83 S-1 Functions Concepts S-1 9/ Graphs of Functions and Relations 7,9,11,13,17,21,29,33,37,39, 43,47,49,53, 57,59,63,73,77,79 S-13 Evaluating Piecewise-defined Functions S-13 #1-3 9/13 S-2 Graphs of Other Functions S-2 # Transformations of Graphs 9,11,15,19,21,23,27,29,35,37, 43,45,51,55,57,59,63,65,67 9/14 Review for Exam 1 9/15 Exam 1 on Sects , ,3.5, ,S1,S2 9/ Integral Exponents 19,23,25,29,33,35,39,45,49,53,55,59, The Power Rules 9,11,15,17,21,27,33,37,43,47, 51,55,57,61,65,71 9/ Polynomials and Polynomial Functions 7,11,15,17,23,35,51,53,61,71,83,93,97,103 S-3 Evaluating Polynomial Functions S-3 9/ Multiplying Binomials 19,31,35,41,45,53,61,65,73,83,87,99,103,111a S-4 Multiple Operations Involving Polynomials S-3 9/ Factoring Polynomials 11,15,19,21,23,27,31,35,37,43,47, 51,53,57,65,69,81,93,97,101, Factoring ax 2 + bx + c 9,15,25,33,43,47,51,57,65,75, 85,99,109,125,129 9/ Factoring Strategy 7,11,17,21,23,27,31,35,37,41,45, 57,67,73,77,87,91,97,107,127,137, 143,159,163,169,173,187,195 9/ Solving Equations by Factoring 11,13,17,21,33,35,37,41,47,51,65,79 9/ Properties of Rational Expressions & Functions 9,11,15,23,29,33,37,41,45,53,63,71 S-6 Evaluating Rational Expressions S-6: #1-4 9/ Mutiplication and Division 9,11,13,27,29,31,37,39,43,63,69,73,79,85 10/3 6.3 Addition and Subtraction 15,23,27,33,41,43,47,51,63,65,77,81,93,99 S-8 Multiple Operations with Rational Expressions S-8 10/4 6.4 Complex Fractions 5,9,13,17,19,23,31,39,45,53,59 10/5 6.5 Division of Polynomials 13,15,35,37,53,57,61,65,69,71,75,79,83,87,93 S-5 Factor Theorem S-5 S-7 Graphing Reciprocal Function S-7 10/6 6.6 Solving Equations Involving Rational Expressions 11,17,21,31,35,39,41,55,57,61,65,75,83 10/ Applications 29,31,35,37,39,41
4 Date Section Material Homework 10/11 Review for Exam Radicals 11,17,21,31,35,39,41,45,49,53,57,65, 69,73,77,79,81,91,95,99,103 S-9 Domain of Functions Involving Radicals S-9 10/12 Exam 2 - Chapters 5 & 6 plus supplements 10/ Rational Exponents 7,9,11,13,15,19,23,27,31,33,35,43,47, 51,55,59,67,77,81,85,89,93,97,101 S-10 Factoring Involving Rational Exponents S-10 10/ Adding, Subtracting & Multiplying Radicals 11,15,23,37,41,43,47,51,59,65,69,73,77,105 10/ Quotients, Powers and Rationalizing Denominators 7,11,15,19,27,29,33,37,41,45,49,53,63,67,105 10/ Solving Equations with Radicals & Exponents 5,7,11,13,15,19,23,29,31,35,39, 47,51,53,55,59,63,75,83,89,97 S-11 Graphing Radical Functions S-11 10/ Complex Numbers 9,19,25,33,37,41,43,47,51, 55,59,63,73,77,87,89 10/ Factoring and Completing the Square 7,9,13,19,23,27,31,35,39,45,49, 57,61,65,69,73,75 10/ The Quadratic Formula 11,19,21,25,29,41,43,45,51,59,63 10/ More on Quadratic Equations 5,11,21,23,29,33,37,39, 43,47,51,61,65,69,77,87 10/ Quadratic Functions and their Graphs 9,11,13,17,19,23,27,29,33, 37,39,43,47,49,53,57,63 10/ Quadratic and Rational Inequalities 5,7,11,15,19,23,25,27,29,33 35,37,41,45,49,53,61,75 S-12 Inequalities w/non-alternating Patterns S-12 11/1 Review for Exam Variation 7,9,11,21,23,27,29,31,35,47,49,51,53,55 11/2 Exam 3 - Chapter 7 & 8 plus supplements 11/3 9.3 Combining Functions 5,7,9,13,15,19,23,27, 29,31,37,47,49,51,59,73 11/7 9.4 Inverse Functions 9,13,15,25,31,33,35,37,39,41,43, 45,47,49,51,53,57,59,69,79,81 11/ Exponential Functions & Their Applications 7,11,13,15,17,19,21,25,29,33,37, 43,47,51,55,59,61,65,69,73,83 11/ Logarithmic Functions & Their Applications 7,11,15,17,19,21,23,25,29,31,35,39,43, 45,49,53,57,59,63,67,71,73,77,81,85,87 11/ Properties of Logarithms 7,9,11,13,17,23,27,31,37,41,43,51,53,63,67 11/ Properties of Logarithms 71,77,81,83,87, Solving Equations and Applications 3,7,13,15,17,21,25,31,35,39 11/ Solving Equations and Applications 45,49,53,59,63,71,73,85 11/16 Review for Exam 4 11/17 Exam 4 - Chapters 9 & 10 11/ The Parabola 9,15,21,23,27,31,35, 41,45,51,55,61,65,69, The Circle 3,7,9,11,17,19,21,27, 29,33,35,39,43,57,63 11/ Second-Degree Inequalities 3,7,13,21 S-14 Sigma Notation S-14 11/ Solving Systems by Graphing & Substitution 11,15,19,35,39,43,47,55,57,61,69, Applications 47,51,53,61,63, The Addition Method 7,13,21,27,31,37,47,53,57 11/24 Thanksgiving (No class)
5 Date Section Material Homework 11/ Systems of Linear Equations in Three Variables 7,13,17,19,21,25,27,29,51 11/ Solving Linear Systems using Matrices 7,9,11,17,21,35,37,41,43, 47,49,53,55,59,61,67 11/ Linear Inequalities and Their Graphs 7,9,15,21,25,29,33,35,39,43, 47,51,57,61,65,69,83,87 12/1 4.6 Systems of Inequalities 9,13,25,31,35 12/ Nonlinear Systems of Equations 5-25odd, 33 S-15 Solutions of Nonlinear Systems of Inequalities S-15 12/6 Review for Exam 5 12/7 Exam 5-3.4, Chapters 4 & 11, Supplements 12/8 REVIEW for final 12/12 REVIEW for final 12/13 FINAL EXAM 12pm-3pm The instructor does reserve the right to add or modify the syllabus at the instructor s discretion.