ࡱ> molg bbjbjhh  J: GROSSMONT COLLEGE Official Course Outline MATHEMATICS 103 - INTERMEDIATE ALGEBRA seq level0 \h \r0 seq level1 \h \r0 seq level2 \h \r0 seq level3 \h \r0 seq level4 \h \r0 seq level5 \h \r0 seq level6 \h \r0 seq level7 \h \r0 seq level0 \*arabic1. Course Number Course Title Semester Units Semester Hours MATH 103 Intermediate Algebra 3 3 hours lecture: 48-54 hours 96-108 outside-of-class hours 144-162 total hours seq level0 \*arabic2. Course Prerequisites A Pass in Math 090 or equivalent. Corequisite None. Recommended Preparation None. seq level0 \*arabic3. Catalog Description Math 103 is the second of a two-course sequence in algebra and serves as the prerequisite for a limited number of transferable mathematics courses. This course completes some topics from the first course, such as factoring and operations on rational and radical expressions, and includes the addition of new topics such as exponential and logarithmic expressions and equations, and conic sections. The concept of functions is developed including composition and inverses. Quadratic functions are covered in depth. Computational techniques developed in beginning algebra are prerequisite skills for this course. This course is appropriate for students with a knowledge of beginning algebra or who have had at least two years of high school algebra but have not used it for several years. A student can earn a maximum of (five) 5 units for taking MATH 103 and MATH 110. This course serves as a prerequisite for Math 120, Math 125, and Math 160. seq level0 \*arabic4. Course Objectives The student will: seq level1 \*alphabetica. Operate on polynomial, rational, radical, exponential and logarithmic expressions using properties of arithmetic, exponents and logarithms. b. Analyze and solve linear and non-linear systems of equations and inequalities. c. Use substitution and elimination to solve systems of two or three equations. d. Solve applied problems using linear, quadratic, rational, radical, exponential, and logarithmic equations. e. Apply principles of rational exponents. f. Apply critical thinking and mathematical reasoning skills necessary in algebraic problem solving and related disciplines. g. Observe, interpret, and analyze the behavior of quadratic functions. h. Recognize and graph elementary conic sections. MATHEMATICS 103 - INTERMEDIATE ALGEBRA page 2 5. Instructional Facilities seq level1 \h \r0  Standard classroom equipped with: 1) Whiteboards. 2) Overhead projector/document camera. 3) SmartCart. The Math Study Center equipped with: 40 computers. Whiteboards. Overhead projector/document camera. Appropriate software for integrated computer instruction. 6. Special Materials Required of Student Calculator with exponential and logarithmic functions. 7. Course Content Systems of equations in two and three variables: solve with substitution and elimination. Systems of linear and non-linear inequalities in two variables: graph. Absolute value equations and inequalities: solve, interval notation and number line graphs. Functions: composition, inverses, domain and range calculations and operations (simple polynomials, radicals and rationals). Polynomial division: synthetic. Graph linear, quadratic, exponential and logarithmic functions. Factoring: sum/difference of two cubes, combined factoring techniques. Quadratic functions: graph, identify and find characteristic parts of parabolas, solve equations by the square root property, completing the square and quadratic formula. Rational expressions: simplify, arithmetic operations; solve rational equations. Radical expressions: simplify, add, subtract, divide, rationalize, complex numbers; solve radical equations. Distance and midpoint formulas. Conic sections: properties of, differences among, basic graphs (no use of focus on quadratics). Exponential and Logarithmic Expressions: properties of, natural logarithms, graph; solve simple exponential or logarithmic equations. Application problems: solve problems that demonstrate proficiency with basic exponential and logarithmic equations, linear systems, and quadratic equations aligned with expected outcomes for the course. 8. Method of Instruction The development of problem solving techniques may be achieved by using a variety of instructional techniques including instructor presented examples, individual and group tutoring, and/or daily problem assignments. 9. Methods of Evaluating Student Performance seq level1 \*alphabetica. Homework. b. Quizzes. seq level1 \*alphabeticb. Tests. seq level1 \*alphabeticc. In-class, comprehensive final exam. MATHEMATICS 103 - INTERMEDIATE ALGEBRA page 3 10. Outside Class Assignments Homework and problems sets and/or online assignments. 11. Texts seq level1 \*alphabeticd. Required Text(s): McKeague, Charles P. Intermediate Algebra - A Text Workbook. Belmont, CA: Brooks/Cole/Cengage Learning, 9th edition, 2013. seq level1 \*alphabetice. Supplementary texts and workbooks. Student Solutions Manual. Addendum: Student Learning Outcomes Upon completion of this course, our students will be able to do the following: Categorize intermediate algebra problems and use appropriate theorems, formulas, and algorithms to simplify or solve them. Formulate, analyze, and differentiate mathematical functions numerically, graphically, and symbolically at the intermediate algebra level and have the ability to transition between these representations. Apply appropriate algebraic methods to solve applications. 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This course completes some topics from the first course,       0'' 2 sg0 such as factoring and operations on rational and radical expressions, and includes the addition of new    0'' p2 sC0 topics such as exponential and logarithmic expressions and equation  F2 '0 s, and conic sections. The concept of   0'' 2 -sh0 functions is developed including composition and inverses. Quadratic functions are covered in depth.     0'' 2 =sn0 Computational techniques developed in beginning algebra are prerequisite skills for this course. This course    0'' 2 Ms0 is  2 Mj0 appropriate for students with a knowledge of beginning algebra or who have had at least two years of high       0'' 2 ]sj0 school algebra but have not used it for several years. A student can earn a maximum of (five) 5 units for       0'' :2 ms0 taking MATH 103 and MATH 110.      2 m= 0 This course s a2 m90 erves as a prerequisite for Math 120, Math 125, and Math      0'' 2 }s0 160.  2 }0    0''  2 C0    0''  2 C0 4  2 J0 .  2 N0  % %2 s0 Course Objectives    2 0  - @ !is-  0''  2 C0    0''  2 C0  0 %2 s0 The student will:   2 0    0''  2 C0  0  2 s0 a  2 z0 .  2 ~0   2 d0 Operate on polynomial, rational, radical, exponential and logarithmic expressions using properties o    2 0 f   0'' A2 $0 arithmetic, exponents and logarithms    2 h0 .  2 l0    0''  2 C0  0 2 s0 b.  2 ~0    2 0 A  :2 0 nalyze and solve linear and non  2 P0 - O2 T-0 linear systems of equations and inequalities.   2 U0    0''  2 C0  0 2 s0 c.  2 ~0   ;2  0 Use substitution and elimination    2 K0   L2 O+0 to solve systems of two or three equations.    2 G0    0''  2 C0  0 2 s0 d.  2 ~0    2 0 S  R2 /0 olve applied problems using linear, quadratic,   2 0 ra #2 0 tional, radical,  2 0   72 0 exponential, and logarithmic    0'' 2  0 equations.  2 0    0''  2 -C0  0 2 -s0 e.  2 -~0   F2 -'0 Apply principles of rational exponents.   2 -n0    0''  2 =C0  0 2 =s0 f.  2 =z0   2 =e0 Apply critical thinking and mathematical reasoning skills necessary in algebraic problem solving and      0'' )2 M0 related disciplines.  2 M0    0''  2 ]C0  0 2 ]s0 g.  2 ]~0   ,2 ]0 Observe, interpret, an   2 ]0 d  2 ]0   L2 ]+0 analyze the behavior of quadratic functions  2 ]0 .  2 ]0    0''  2 mC0  0  2 ms0 h  2 mz0 .  2 m~0   =2 m!0 Recognize and graph elementary co   2 mb 0 nic sections.  2 m0    0''  2 }C0    0''  2 C0    0''@ Arial---  0''--  00//..?>>==՜.+,0 hp  GCCCD( G Course Outline Shell [blank] Title  !"$%&'()*+,-./0123456789:;<=>?ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcefghijknRoot Entry F{tp1Table#'8WordDocument