Course Descriptions

<body><table border="0" width="103%"> <tr> <td width="45%" valign="top" rowspan="33"><br> <big><font color="#FFFFFF"><strong>Courses:</strong></font></big><blockquote> <p><font size="2"><a href="../Information/CourseDescription/Descriptions.htm#10 Basic Arithmetic">MATH 10</a><br> <a href="../Information/CourseDescription/Descriptions.htm#15 Prealgebra">MATH 15</a><br> <a href="../Information/CourseDescription/Descriptions.htm#47 Mathematics Topics">MATH 47<br> </a><a href="../Information/CourseDescription/Descriptions.htm#50 Beginning Algebra">MATH 50<br> </a><a href="../Information/CourseDescription/Descriptions.htm#60 Intermediate Algebra">MATH 60<br> </a><a href="../Information/CourseDescription/Descriptions.htm#97 Mathematics Topics">MATH 97<br> </a><a href="../Information/CourseDescription/Descriptions.htm#100 Mathematics for Liberal Arts">MATH 100<br> </a><a href="../Information/CourseDescription/Descriptions.htm#105 Concepts of Elementary Mathematics I">MATH 105<br> </a><a href="../Information/CourseDescription/Descriptions.htm#106 Concepts of Elementary Mathematics II">MATH 106<br> </a><a href="../Information/CourseDescription/Descriptions.htm#110 College Algebra">MATH 110<br> </a><a href="../Information/CourseDescription/Descriptions.htm#115 Trigonometry">MATH 115<br> </a><a href="../Information/CourseDescription/Descriptions.htm#120 Elementary Statistics">MATH 120</a> <br> <a href="../Information/CourseDescription/Descriptions.htm#130 Calculus for the Social Sciences">MATH 130</a><br> <a href="../Information/CourseDescription/Descriptions.htm#135 Precalculus Mathematics">MATH 135<br> </a><a href="../Information/CourseDescription/Descriptions.htm#140 Calculus With Analytic Geometry, First Course">MATH 140<br> </a><a href="../Information/CourseDescription/Descriptions.htm#141 Calculus With Analytic Geometry, Second Course">MATH 141<br> </a><a href="../Information/CourseDescription/Descriptions.htm#146 FORTRAN-77 for Mathematics and Science">MATH 146<br> </a><a href="../Information/CourseDescription/Descriptions.htm#150 Finite Mathematics">MATH 150<br> </a><a href="../Information/CourseDescription/Descriptions.htm#197 Mathematics Topics">MATH 197<br> </a><a href="../Information/CourseDescription/Descriptions.htm#200 Introduction to Linear Algebra">MATH 200<br> </a><a href="../Information/CourseDescription/Descriptions.htm#205 Calculus With Analytic Geometry, Third Course">MATH 205<br> </a><a href="../Information/CourseDescription/Descriptions.htm#206 Calculus With Differential Equations">MATH 206</a></font></p> </blockquote> </td> <td width="6%" valign="top"></td> <td width="178%" valign="top"></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><font size="6"><b>Mathematics (MATH)</b></font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><b><font size="4">PROGRAM OFFERING</font></b> <hr></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"> <p><font size="2"><b>Courses required for an A.A. Degree Major</b></font></p> <p><font size="2">Provides the background to satisfy upper division course work in mathematics and for entry-level positions that require a knowledge of mathematics such as Technical Assistant and Mathematical Technician.</font></p> <p><font size="2">The student is advised to check with the school to which he or she wishes to transfer for additional courses which may be required.</font></p> <p><font size="2"><b>Required Courses Units</b></font></p> <font FACE="Times New" SIZE="2"><b><p>Courses required for an A.A. Degree Major</b></p> <p>Provides the background to satisfy upper division course work in mathematics and for entry-level positions that require a knowledge of mathematics such as Technical Assistant and Mathematical Technician.</p> <p>The student is advised to check with the school to which he or she wishes to transfer for additional courses which may be required.<b></p> <p>Required Courses Units</b></font><font FACE="Times New" SIZE="1"></p> <p>MATH 140 Calculus with Analytic Geometry, First Course 5<br> MATH 141 Calculus with Analytic Geometry, Second Course 4<br> MATH 205 Calculus with Analytic Geometry, Third Course 4<br> MATH 120 or Elementary Statistics or<br> MATH 206 Calculus with Differential Equations 3,4<br> MATH 146 or FORTRAN-77 for Mathematics and Science or<br> CSIS 220 or Programming for Computer Sciences or<br> CSIS 235 C for Programmers 3<br> <font FACE="Times New" SIZE="2">TOTAL UNITS 19-20</font></p> </font><font SIZE="1"><p>Recommended Electives: PHYS 230, 231, 232; CHEM. 110, 115; MATH 150</p> </font> <hr></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><font size="4"><b>COURSE OFFERINGS</b></font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><font SIZE="2">Any student wishing to earn an A.A. Degree must meet competence requirements at the MATH 50 level. Methods by which a student can demonstrate competence are listed under "Competence Requirements" in front of this catalog. Students wishing to enroll in MATH 50, 60, 110, 115, 120, 125, and 135 must participate in the mathematics placement process or meet the prerequisite listed in the catalog. It may be taken two times within a two year period, through the Palomar College Counseling Center.</font><p><font SIZE="2">The assessment and placement process determines eligibility for enrollment in these courses. Students interested in determining their readiness to enroll in MATH 140 may additionally request to take the College Algebra Asset Test. Arrangements for this test can be made in the Counseling Center.</font></p> <p><font SIZE="1">Courses numbered under 100 are not intended for transfer credit.</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="10 Basic Arithmetic"><b>10 Basic Arithmetic</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2">Basic arithmetic computational skills, emphasis on the whole numbers, fractions, and decimals. Designed for students who need a review of arithmetic.</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="15 Prealgebra"><b>15 Prealgebra</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2">The basic arithmetic operations, integers, fractions, decimals, percents, ratio and proportion, basic geometric concepts, problem-solving techniques, and an introduction to algebra.</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="47 Mathematics Topics"><b>47 Mathematics Topics </b></a></p> <p><i><font SIZE="2">Units awarded in topics courses are dependent upon the number of hours required of the student. Any combination of lecture, laboratory, or lecture-laboratory may be scheduled by the department. Refer to Class Schedule. (.5-4)</font></i></p> <p><font SIZE="2">Topics in Mathematics. See class schedule for specific topic covered. Course title will designate subject covered.<i> May be taken four times.</i></font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><b><a name="50 Beginning Algebra">50 Beginning Algebra</a><br> <br> </b><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 15 or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>Elementary algebra which emphasizes mathematical reasoning, problem solving, and real-world applications using numerical, algebraic, and graphic models. Topics include problem-solving techniques, algebraic expressions, polynomials, linear equations, linear inequalities, linear and nonlinear graphs, systems of linear equations in two variables, integer exponents, proportions, and radicals.</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="60 Intermediate Algebra"><b>60 Intermediate Algebra</b></a></p> <p><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 50 or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>Graphic, numeric, analytic and applied perspectives on topics including linear, quadratic, exponential and logarithmic functions, exponents and radicals, linear and nonlinear systems of equations and inequalities.</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="97 Mathematics Topics"><b>97 Mathematics Topics</b></a></p> <p><i><font SIZE="2">Units awarded in topics courses are dependent upon the number of hours required of the student. Any combination of lecture, laboratory, or lecture-laboratory may be scheduled by the department. Refer to Class Schedule. (.5-4)</font></i></p> <p><font SIZE="2">Topics in Mathematics. See Class Schedule for specific topic offered. Course title will designate subject covered. <i>May be taken four times</i>.</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="100 Mathematics for Liberal Arts"><b>100 Mathematics for Liberal Arts</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>Selected topics from logic, modern algebra, number theory, and geometry. Designed to give the student an introduction to the structure of mathematics and its applications. Recommended for liberal arts students. <i>Not open to students with credit in MATH 105</i>. CSU; UC - Credit Limitations (may not be used to clear high school deficiency for students transferring to UC systems Fall 1994 or later) (CAN MATH 2)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="105 Concepts of Elementary Mathematics I"><b>105 Concepts of Elementary Mathematics I</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>Selected topics from the real number system including properties and operations with integers and rational numbers as fractions and decimals. Additional topics include problem solving, numeration systems, number theory, and topics in geometry and measurement. Recommended for prospective teachers. <i>Not open to students with credit in MATH 100.</i> CSU; UC </font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="106 Concepts of Elementary Mathematics II"><b>106 Concepts of Elementary Mathematics II</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 105</b></font></p> <font SIZE="2"><p>An extension of MATH 105 including selected topics from probability, statistics, elementary logic, sets, functions, and two- and three-dimensional geometry. Recommended for prospective teachers and liberal arts students. CSU; UC </font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="110 College Algebra"><b>110 College Algebra</b></a></p> <p><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>Study of the behavior and characteristics of functions from graphic, numeric, analytic and applied perspectives, including general polynomial functions, rational functions, exponential and logarithmic functions, and sequences. Systems of equations in several variables with an emphasis in matrix solutions. CSU; UC - Credit Limitations (CAN MATH 10)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="115 Trigonometry"><b>115 Trigonometry</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>The trigonometric functions and their applications including emphasis on the analytical aspects, identities, and trigonometric equations. CSU (CAN MATH 8)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="120 Elementary Statistics"><b>120 Elementary Statistics</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process </b></font></p> <font SIZE="2"><p>Selected topics include tabular and graphical representation of data, counting principles, permutations, combinations, discrete and continuous probability distributions, sampling distributions, the Central Limit Theorem, an introduction to inferential statistics, and simple linear regression analysis. Applications from the fields of business, economics, life sciences, social sciences, and the physical sciences. CSU; UC - Credit Limitations (CAN STAT 2)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="130 Calculus for the Social Sciences"><b>130 Calculus for the Social Sciences</b></a></p> <p><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process </b></font></p> <font SIZE="2"><p>Functions and their graphs including exponential and logarithmic functions, single variable calculus, limits, differentiation, integration and their applications, multivariable calculus, with application to business, social sciences and behavioral science. <i>Not open to students with credit in MATH 140.</i> CSU; UC - Credit Limitations (CAN MATH 34)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="135 Precalculus Mathematics"><b>135 Precalculus Mathematics</b></a></p> <p><i><font SIZE="2">Five hours lecture (5)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 115 or eligibility determined through the math placement process </b></font></p> <font SIZE="2"><p>Designed for students who intend to take calculus. Emphasizes study of the behavior and characteristics of functions from graphic, numerical, analytic, and applied perspectives. Includes trigonometric functions, general polynomial functions, rational functions, exponential functions, logarithmic functions, absolute value functions, functions with rational exponents, and sequences. Selected topics from analytic geometry and linear systems are also presented. CSU; UC - Credit Limitations (CAN MATH 16) </font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="140 Calculus With Analytic Geometry, First Course"><b>140 Calculus With Analytic Geometry, First Course</b></a></p> <p><i><font SIZE="2">Five hours lecture (5)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 135, or MATH 110 and 115, or eligibility determined through the math placement process</b></font></p> <font SIZE="2"><p>An introduction to analytic geometry, differentiation and integration of algebraic and transcendental functions of a single variable, and applications of differentiation. CSU; UC - Credit Limitations (CAN MATH 18)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="141 Calculus With Analytic Geometry, Second Course"><b>141 Calculus With Analytic Geometry, Second Course</b></a></p> <p><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 140 </b></font></p> <font SIZE="2"><p>Continuation of MATH 140. Topics include definite integrals and their applications; methods of integration (including the use of modern computational technology as appropriate); indeterminate forms; improper integrals; sequences; infinite series; Taylor series; conic sections; polar coordinate; and parametric equations from analytic, graphic, and numeric perspectives. CSU; UC (CAN MATH 20) </font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="146 FORTRAN-77 for Mathematics and Science"><b>146 FORTRAN-77 for Mathematics and Science</b></a></p> <p><i><font SIZE="2">Two hours lecture-Three hours laboratory (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60</b></font></p> <font SIZE="2"><p>FORTRAN-77 as applied to typical problems in mathematics, the physical sciences and engineering. Programming is done on a time-sharing system. <i>This course is dually listed as CSIS 146</i>. CSU; UC</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="150 Finite Mathematics"><b>150 Finite Mathematics</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 60 or eligibility determined through the math placement process </b></font></p> <font SIZE="2"><p>Sets, permutations, combinations, probability, matrices, linear equations and inequalities, linear systems of equations, linear programming, game theory, Markov</p> <p>chains, and applications from business, economics, and life and social sciences. CSU; UC (CAN MATH 12)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="197 Mathematics Topics"><b>197 Mathematics Topics</b></a></p> <p><i><font SIZE="2">Units awarded in topics courses are dependent upon the number of hours required of the student. Any combination of lecture, laboratory, or lecture-laboratory may be scheduled by the department. Refer to Class Schedule. (.5-4)</font></i></p> <p><font SIZE="2">Topics in Mathematics. See Class Schedule for specific topic offered. Course title will designate subject covered. <i>May be taken four times</i>. CSU; UC - Credit Limitations</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="200 Introduction to Linear Algebra"><b>200 Introduction to Linear Algebra</b></a></p> <p><i><font SIZE="2">Three hours lecture (3)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 110 and 115</b></font></p> <font SIZE="2"><p>Matrices, determinants, vectors, linear dependence and independence, basis and change of basis, linear transformations, and eigenvalues. CSU; UC (CAN MATH 26)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="205 Calculus With Analytic Geometry, Third Course"><b>205 Calculus With Analytic Geometry, Third Course</b></a></p> <p><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 141 </b></font></p> <font SIZE="2"><p>Vectors in the plane and space, three-dimensional coordinate system and graphing, vector-valued functions and differential geometry, partial differentiation, multiple integration, and vector calculus. CSU; UC (CAN MATH 22)</font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"><hr> <p><a name="206 Calculus With Differential Equations"><b>206 Calculus With Differential Equations</b></a></p> <p><i><font SIZE="2">Four hours lecture (4)</font></i></p> <p><font SIZE="2"><b>Prerequisite: A minimum grade of "C" in MATH 205</b></font></p> <font SIZE="2"><p>A first course in ordinary differential equations from analytic, geometric, numeric and applied perspectives (including the use of modern computational technology as appropriate). Topics include exact, separable, and linear equations; initial-value and boundary-value problems; systems of first-order equations; reduction of order; undetermined coefficients; variation of parameters; series solutions; and Laplace transforms. CSU; UC (CAN MATH 24) </font></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"></td> </tr> <tr> <td width="6%" valign="top"></td> <td width="178%" valign="top"></td> </tr> </table></body>