Program Plan

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Catalog 2014-15: AS.MATH

Catalog 2013-14: AS.MATH

Catalog 2012-13: AS.MATH

Catalog 2011-12: AS.MATH

Mathematics
3.0 credits MATH-050: Fundamental Mathematics
Instructs students in basic addition, subtraction, multiplication, division of whole numbers, and fractions. Includes workshops to overcome math & test taking anxiety. S/U grading (RR Option). Students allowed two attempts to complete the course.
4.0 credits MATH-095: Pre-Algebra
Instructs students 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: MATH-050 or appropriate Math Accuplacer score.
Offered: ALL
4.0 credits MATH-096: 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 three-dimensional geometric shapes, linear systems, polynomials, and factoring are also introduced.
Prerequisites: MATH-095 minimum grade C or appropriate Math Accuplacer score.
Offered: ALL
1.0 credits MATH-104: SPIN: Special Interest
4.0 credits MATH-113: 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. Basics of algebra, operations of rational numbers, algebraic expressions, solving equations, formulas, geometry and trigonometric concepts of sine, cosine, tangent and the Pythagorean Theorem. Vocational applications are emphasized.
Prerequisites: Appropriate Reading Accuplacer score placing through RDNG-050
Offered: ALL
3.0 credits MATH-114: Math for Health Careers
This course introduces the computational skills needed to study in the health careers programs. Topics include more difficult operations on fractions, decimals, and percents, as well as the use of formulas, ratios and proportions, and measurements. Students will solve word problems specific to medication orders, the combined gas law, and medical related unit conversions as well as pH and pOH calculations.
Prerequisites: MATH-095 minimum grade C, or appropriate Math Accuplacer score.
Offered: ALL
4.0 credits MATH-114A: Health Careers Math W/Skills Review
This course is designed for students needing pre-algebra concepts review and Math for Health Careers. This course reviews the basics of computational skills involving integers, fractions, decimals, and percents to prepare students for the skills needed in the Math for Health Careers portion of this course. This course also introduces the computational skills needed to study in health careers programs. Topics include more difficult operations on fractions, decimals, and percents, as well as the use of formulas, ratios and proportions, and measurements. Students will solve word problems specific to medication orders, the combined gas law, and medical related unit conversions as well as pH and pOH calculations.
Offered: ALL
4.0 credits MATH-115: Intermediate Algebra-Applications
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: MATH-096 minimum grade C, or appropriate Math Accuplacer score.
Offered: ALL
3.0 credits MATH-116: 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 MATH-096 minimum grade C, or appropriate Math Accuplacer score.
Offered: FASP
3.0 credits MATH-121: Mathematics for the Elementary Teacher
This course offers an in-depth look at the representations of rational numbers, including base-ten and decimal numbers, integers, fractions, arithmetic operations, and number properties, using student activities and investigations. Problem solving is emphasized throughout.
Prerequisites: MATH-096 or higher, minimum grade C, or appropriate Math Accuplacer Score.
Offered: FASP
3.0 credits MATH-122: Math for Elementary Teacher II
This course discusses 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: MATH-121 minimum grade C.
Offered: FALL
3.0 credits MATH-130: Conceptual Mathematics
This course covers a variety of practical mathematical concepts for non-science majors. Topics include set theory, geometry, counting methods, probability, statistics, and finance. Critical thinking and problem solving skills are stressed.
Prerequisites: MATH-096 minimum grade C, or appropriate Math Accuplacer score.
Offered: ALL
3.0 credits MATH-160: College Algebra
Instructs non-Calculus 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 real-world applications. Other topics include systems of linear equations and inequalities, matrices, linear programming sequences and series.
Prerequisites: MATH-115 minimum grade C, or appropriate Math Accuplacer score.
Offered: ALL
4.0 credits MATH-170: Pre-Calculus
An in-depth study of linear, piecewise, quadratic, polynomial, rational, exponential, and logarithmic functions and their graphs. It also includes the Fundamental Theorem of Algebra, systems of equations and inequalities, conic sections, sequences and series, and applications in geometry.
Prerequisites: MATH-115 minimum grade C, or appropriate Math Accuplacer score.
Offered: ALL
3.0 credits MATH-180: Trigonometry
Instructs the student in the knowledge of triangles, radian and degree measure, trigonometric functions, trigonometric identities and properties, inverse trigonometric functions, polar coordinates, and vectors. Prepares the student to utilize trigonometry in the analysis of calculus. [NM Common Course Number MATH 1213, Area II: Mathematics Core]
Prerequisites: MATH-115 minimum grade C, or appropriate Math Accuplacer Score.
Offered: ALL
4.0 credits MATH-187: 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: MATH-160 or MATH-170, minimum grade C.
Offered: SP
4.0 credits MATH-188: Calculus I
Instructs the student in the methods of differential and integral calculus. Topics include limits, continuity, differentiation and optimization(including transcendental functions). 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: MATH-170 AND MATH-180, minimum grade C.
Offered: ALL
4.0 credits MATH-189: 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: MATH-188 minimum grade C.
Offered: ALL
3.0 credits MATH-215: 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: MATH-121 minimum grade C.
Offered: SP
3.0 credits MATH-231: 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: MATH-188 minimum grade C.
Offered: FALL
4.0 credits MATH-251: Statistics
Instructs the student in the knowledge of descriptive and inferential statistics, including: sampling theory, experimental design, probability, probability distributions, confidence intervals, correlation and regression, tests of hypotheses (using the normal, student-t, chi-square, and F-distributions) and ANOVA. Lab time is provided for data analysis using statistical software. [NM Common Course Number MATH 2113, Area II: Mathematics Core]
Prerequisites: MATH-115 minimum grade C, or appropriate Math Accuplacer score. ENGL-111 or ENGL-118, minimum grade C.
Offered: ALL
4.0 credits MATH-268: 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, and divergence. Additional topics include the Fundamental Theorem of Line Integrals, Green's Theorem, Stokes Theorem and the Divergence Theorem.[NM Common Course Number MATH 2614, Area II: Mathematics Core]
Prerequisites: MATH-189 minimum grade C.
Offered: FASP
3.0 credits MATH-275: 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: MATH-189 minimum grade C.
Offered: FALL
4.0 credits MATH-282: Differential Equations
This course gives an in-depth introduction to ordinary differential equations. Theoretical questions such as existence and uniqueness are addressed but emphasis is on concepts and applications. Topics include first order techniques and applications, second order techniques and applications, Laplace Transform methods, Cauchy-Euler equations, infinite series techniques, systems, numerical techniques and qualitative aspects.[NM Common Course Number MATH 2814, Area II: Mathematics Core]
Prerequisites: MATH-268 minimum grade C.
Offered: SP
1.0 - 9.0 credits MATH-290: 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 MATH-298: 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 Pre-Calculus 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 505-566-3428. Or send us an email at wurtzl@sanjuancollege.edu.