
Program Plan
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201314 AS.MATH catalog reference 
201213 AS.MATH catalog reference 
201112 AS.MATH catalog reference 

Mathematics 
3.0 credits
MATH050: Fundamental Mathematics
Basic addition,subtraction,multiplication,division of whole numbers, fractions and workshops to overcome math & test taking anxiety. S/U grading (RR Option). Students allowed two attempts to complete the course. Offered: ALL 
4.0 credits
MATH095: PreAlgebra
Instructs the student on the basic operations of arithmetic applied to whole numbers, integers, fractions and decimals. Topics include measurement conversions, scientific notation, percents, ratios and proportions, basic geometry, formulas and the introduction of variable expressions and linear equations.(RR option course) Prerequisites: Completion of MATH050 or appropriate Math Accuplacer score. Offered: ALL 
4.0 credits
MATH096: Introductory Algebra
Instructs students in the knowledge of algebra involving linear content; equations, functions and inequalities in one variable and two variables. This course demonstrates simplifying and solving methods. Topics such as expressions, equations, functions, exponents, two and threedimensional geometric shapes, linear systems, polynomials, and factoring are also introduced. Prerequisites: Completion of MATH095 with a minimum grade of C or appropriate Math Accuplacer score. Offered: ALL 
1.0 credits
MATH104: SPIN: Special Interest

3.0 credits
MATH113: Math for Technical Careers
Instructs students in the knowledge of addition, subtraction, multiplication and division of whole numbers, fractions and decimals. Topics also include ratios and proportions, percents, standard and metric measurements and conversions. Basic fundamentals of algebra, operations of rational numbers, algebraic expressions, solving equations, formulas, geometry and trigonometric concepts of sine, cosine, tangent and the Pythagorean Theorem. This course emphasizes application models required in vocational programs. Prerequisites: Completion of MATH095 with a minimum grade of C or appropriate Math Accuplacer score. Offered: ALL 
3.0 credits
MATH114: Math for Health Careers
This course introduces the computational skills needed to study in health careers programs. Topics include operations on fractions, decimals, percents, as well as the use of formulas, ratio and proportion, and measurement. Students will solve word problems specific to medication orders. Prerequisites: Completion of MATH095 minimum grade C, or appropriate Math Accuplacer score. Offered: ALL 
4.0 credits
MATH115: Intermediate AlgebraApplications
Instructs students in the knowledge of algebra involving nonlinear content including expressions, equations, functions and inequalities. This course emphasizes simplifying and solving methods for polynomial, quadratic, rational, absolute value, radical, exponential, and logarithmic expressions and equations. Prerequisites: Completion of MATH096 minimum grade C, or appropriate Math Accuplacer score. Offered: ALL 
3.0 credits
MATH116: Math for High Tech Careers
Instructs students in the knowledge of mathematics related to the electronics field. Topics include: scientific calculations, conversions, methods of algebra leading to solving and manipulation of formulas, relations, functions including logarithmic and exponential, radicals, fundamentals of trigonometry involving angular and circular functions, vectors and phasors. Prerequisites: Completion of MATH096 minimum grade C, or appropriate Math Accuplacer score. Offered: FASP 
3.0 credits
MATH121: Mathematics for the Elementary Teacher
Course offers an indepth look at the representations of rational numbers, including baseten and decimal numbers, integers, fractions, arithmetic operations on these sets and number properties using student activities and investigations. Problem solving is emphasized throughout. Prerequisites: Take MATH096 or higher, minimum grade C. Offered: FASP 
3.0 credits
MATH122: Math for Elementary Teacher II
Algebra from the viewpoint of the elementary curriculum with emphasis on proportional and linear relationships. Additional topics include: number theory, ratio, percent, probability and statistics. Student activities, investigations and problem solving are emphasized throughout. Prerequisites: Complete MATH121 with a C or better. Offered: FALL 
3.0 credits
MATH130: Conceptual Mathematics
This course covers a variety of practical mathematical concepts for nonscience majors. Topics include set theory, geometry, counting methods, probability, statistics, and finance. Critical thinking and problem solving skills are stressed. Prerequisites: Completion of MATH096 minimum grade C, or appropriate Math Accuplacer score. Offered: ALL 
3.0 credits
MATH160: College Algebra
Instructs students in the knowledge of linear, piecewise, quadratic, polynomial rational, inverse, exponential, and logarithmic functions; function topics include finding the average rate of change, analyzing graphs, graphing using transformations, finding roots in the real and complex number systems, and constructing functions to model realworld applications. Other topics include systems of linear equations and inequalities, matrices, linear programming sequences and series. Prerequisites: Completion of MATH115 or appropriate Math Accuplacer score. Offered: ALL 
4.0 credits
MATH170: PreCalculus
An indepth study of linear, piecewise, quadratic, polynomial, rational, exponential, and logarithmic functions and their graphs. Also includes the fundamental theorem of algebra, systems of equations and inequalities, conic sections, sequences and series, and applications in geometry. A graphing calculator is required. Prerequisites: Completion of MATH115 or appropriate Math Accuplacer score. Offered: ALL 
3.0 credits
MATH180: Trigonometry
Instructs the student in the knowledge of triangles, radian and degree measure, trigonometric functions, trigonometric identities, inverse trigonometric functions, polar coordinates, and vectors. Prepares the student to utilize trigonometry in the analysis of Calculus. Students need both Trigonometry and PreCalculus before entering Calculus I.[NM Common Course Number MATH 1213, Area II: Mathematics Core] Prerequisites: Completion of MATH115 minimum grade C, or appropriate Math Accuplacer Score. Offered: ALL 
4.0 credits
MATH187: Applications of Calculus
An introduction to the methods of differential and integral calculus. Polynomial, rational, exponential, and logarithmic functions are used in topics such as rates of change, limits, derivatives, continuity, extrema, graphing, antiderivatives, definite integrals, and techniques of integration. Applications involving optimization, related rates, growth and decay models, and marginality will be studied primarily in context of business related topics. Prerequisites: Complete MATH160 or MATH170, minimum grade C. Offered: SP 
4.0 credits
MATH188: Calculus I
Instructs the student in the methods of differential calculus. Topics include elementary algebraic and transcendental functions, limits, continuity, differentiation and optimization. Other topics include L'hopital's rule, Newton's method, Riemann sums, indefinite and definite integration, and the fundamental theorem of calculus. Mathematical software will be utilized throughout the course to expose students to computer algebra systems. [NM Common Course Number MATH 1614, Area II: Mathematics Core] Prerequisites: MATH170 AND MATH180, minimum grade C. Offered: ALL 
4.0 credits
MATH189: Calculus II
A continuation of Math 188; extending to topics in Techniques of Integration, Numerical Integration, Applications of Integration, Infinite Series, Power Series, Maclaurin & Taylor Series and Taylor Polynomials.[NM Common Course Number MATH 1623, Area II: Mathematics Core] Prerequisites: Complete MATH188 with a minimum grade of C. Offered: ALL 
3.0 credits
MATH215: Math for Elem & Middle School Teachers
Develops basic geometric concepts including rigid transformations and congruence; dilations and similarity; length, area and volume; systems of measurement and unit conversions; connections to coordinate geometry. Problem solving is emphasized throughout. Prerequisites: Take MATH121 with a minimum grade of C or better. Offered: SP 
3.0 credits
MATH231: Discrete Mathematics
An introductory course encompassing set theory, logic, induction and recursion, number theory, matrices, combinatorics, graph theory, trees, boolean algebra, and models of computation. Prerequisites: Complete MATH188 with a minimum grade of C. Offered: SP 
4.0 credits
MATH251: Statistics
Instructs the student in the knowledge of an introduction to descriptive and inferential statistics, which includes the following topics: sampling theory, experimental design, probability, probability distributions, confidence intervals, correlation and regression, tests of hypotheses (using the normal, studentt, chisquare, and Fdistributions) and ANOVA. Lab time is provided for data analysis using statistical software. [NM Common Course Number MATH 2113, Area II: Mathematics Core] Prerequisites: Completion of MATH115 minimum grade C, or appropriate Math Accuplacer score. Offered: ALL 
4.0 credits
MATH268: Calculus III
Instructs the student in the techniques of multivariable calculus. Topics include partial differentiation, linear and quadratic approximations, optimization, multiple integration, vector fields, line and flux integrals, curl, divergence, and the three fundamental theorems.[NM Common Course Number MATH 2614, Area II: Mathematics Core] Prerequisites: Take MATH189 with a minimum grade of C. Offered: FASP 
3.0 credits
MATH275: Linear Algebra
An applications approach to introductory linear algebra. Covers systems of linear equations, matrices, linear independence, vector spaces, inner product spaces, linear transformations, eigenvalues, eigenvectors and applications. Prerequisites: Take MATH189 with minimum grade of C. Offered: DMND 
4.0 credits
MATH282: Differential Equations
A course which gives an indepth introduction to ordinary differential equations. Theoretical questions such as existence and uniqueness will be addressed but emphasis will be on concepts and applications. Topics include first order techniques and applications, second order techniques and applications, Laplace Transform methods, CauchyEuler equations, infinite series techniques, systems, numerical techniques and qualitative aspects.[NM Common Course Number MATH 2814, Area II: Mathematics Core] Prerequisites: Complete MATH268 with a minimum grade of C. Offered: SP 
1.0  9.0 credits
MATH290: SPTO:(Special Topics)
Topics and credits to be announced in the Schedule of Classes. Maximum of 3 credits per semester. Total credits not to exceed 6 credits. Semester Offered On Demand. Offered: DMND 
3.0  3.0 credits
MATH298: HNRS:concept Appr to Arit

Notice: Starting Fall 2011, Math 185 College Algebra will be renumbered to Math 160 College Algebra and will have an updated syllabus. Math 160 will be a terminal course for many degrees, but will no longer be a prerequisite for Math 188 Calculus. Math 170 PreCalculus will be added to the list of available math courses at the same time. Math 170 will be a required course for students planning to take Math 188 Calculus starting Fall 2011, unless the student has already successfully completed Math 185 before the beginning of the Fall 2011 semester.
For more information, please call Lisa Wurtz at 5055663428.
Or send us an email at wurtzl@sanjuancollege.edu.
