College Algebra (QL)
College Algebra (QL) MATH 1050
Salt Lake Community College
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This 3 page Class Notes was uploaded by Tierra Kreiger I on Monday October 19, 2015. The Class Notes belongs to MATH 1050 at Salt Lake Community College taught by Cindy Soderstrom in Fall. Since its upload, it has received 18 views. For similar materials see /class/225129/math-1050-salt-lake-community-college in Mathematics (M) at Salt Lake Community College.
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Date Created: 10/19/15
Curriculum Outline for Math 1050 Date of Adoption Fall 2002 Course Abbreviation MATH Number 1050 Course Title College Algebra Course Description This course explores in greater depth smndard topics many ofwhich were addressed in Math 1010 Intermediate Algebra Topics will include the following polynomial rational exponential and logarithmic functions systems of equations matrices and determinants partial fraction decomposition sequences and series and mathematical induction Use ofgraphing technology is required in this course Course Prerequisites Within the last year there must be one of the following 1 The completion of a Math 1010 Intermediate Algebra course with a grade ofC or better 2 An ACT score of 22 or better 3 A CPT score of at least 43 on the college algebra section Number of credits 4 Number of instructional contact hours 4 Number of lecture hours per week 4 Number of lab hours per week 0 Type of credit Transfer Submitted by Cindy Soderstrom Each curriculum outline provides the following information which must be reflected in individual instructor syllabi and which remain the same for any section of the course offered Note Individual z39mtrmtor syllakz39 will 51150 rc ett that z39mtmttor 5 5916 for atbz39ew39rtg tbefollowz39rtg okjettz39im and 15565577167115 Course Objectives To develop theoretical and manipulative undersmnding of the College Algebra topics listed above Students will be introduced to graphing technology that will be utilized to assist students in grasping these concepts and integrating the algebraic and graphic interpretations of these concepts This course is intended to prepare students for a comprehensive course in calculus and is required for a major in mathematics physics chemistry engineering and computer science as well as many of the life sciences Upon completion of this course students should be able to o Solve equations by isolating the variable andor equations that can be put into a quadratic situation 0 Solve for xintercepts and yintercepts Determine either algebraically or geometrically whether an equation or a graph to an equation has XaXis yaXis andor origin symmet 0 Identify whether a function is even odd or neither algebraically and geometrically Curriculum Outline Template 12803 1 Given an equation of a circle in general form put the equation in standard form then determine the radius and the center of the circle Know and apply the distance and midpoint formulas Determine whether an equation is a function or not Understand and nd the domain of a function Find the intervals of x for which the function is increasing decreasing or constant Understand and apply the average rate of change of a function Graph piecewise functions Graph equations using the rigid transformations re ections stretches and compressions Perform operations on functions and apply composition of functions Construct maximize or minimize and analyze mathematical models of the following quadratic types Area equations circles and rectangles Circumference equations Perimeter equations Demand equations 0 Distance equations Graph quadratic functions and identify xintercepts yintercepts the vertex and axis of symmetry Graph polynomial functions Graph rational functions Perform long division andor synthetic division of polynomials and interpret the results in the following ways 0 Understand and apply the Remainder Theorem 0 Understand and apply the Factor Theorem Understand and apply Descartes Rule of Signs Understand and apply the Rational Zeros Theorem Find all the real andor complex zeros of a polynomial function Understand and apply upper bounds or lower bounds Understand and apply the Intermediate Value Theorem to approximate a zero in a given interval Show two functions are inverse functions find an inverse function graph both the function and its inverse and understand both the domain and range of a function and the inverse function Graph exponential functions and logarithmic functions Understand and apply the properties of logarithms Solve logarithmic and exponential equations Solve applications involving compound interest Solve applications involving growth and decay problems Solve a system of equations that has infinite solutions no solutions or a unique solution using Gaussian Elimination or matrices Solve a system of equations that has a unique solution using Cramer s Rule and the Inverse Matrix Method Find determinants whose dimension is 2 x 2 by hand and using technology whose dimensions are of a higher order Find an inverse matrix by hand whose dimension is 2 x 2 and using technology whose dimensions are of a higher order 0000 Curriculum Outline Template 12803 2 Perform matrix algebra by adding or subtracting matrices multiplying scalars and matrices and multiplying two matrices together Solve a system of nonlinear equations and graph the intersection points Write partial fraction decompositions for rational expressions Write the terms of a sequence de ned by a recursive formula Use summation notation Determine if a sequence is arithmetic and then be able to 0 Find the term generator 0 Find a particular term 0 Find the sum generator 0 Find a particular sum Determine if a sequence if geometric and then be able to 0 Find the term generator 0 Find a particular term 0 Find the sum generator 0 Find a particular sum 0 Find an in nite sum under the appropriate conditions 0 Understand and prove a mathematical statement using Mathematical Induction Required Assessments Assessments will by done through written homework examinations and a comprehensive nal examination Quizzes will be offered according to instructor s discretion In addition students must complete graphing calculator or computer lab assignments utilizing CAS software Other Instructions on Speci c Assignments and Processes irt pen e methodologiex that may oe an z39ntegralpart of tbe eonrxe or wbz39eb may oe needed to fa z39ll the General Edmatz39on Criteria sz39x rnmt ae lz39xted for eaeb delz39regfornzat 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