Program Plan

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2013-14 AS.MATH catalog reference 
2012-13 AS.MATH catalog reference 
2011-12 AS.MATH catalog reference 
 
Mathematics
3.0 credits MATH-050: 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 MATH-095: Pre-Algebra
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 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: Completion of MATH-095 with a minimum grade of C or appropriate Math Accuplacer score.
Offered: ALL
1.0 credits MATH-104: SPIN: Special Interest
3.0 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. 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 MATH-095 with a minimum grade of C or appropriate Math Accuplacer score.
Offered: ALL
3.0 credits MATH-114: 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 MATH-095 minimum grade C, or appropriate Math Accuplacer score.
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: Completion of 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
Course offers an in-depth look at the representations of rational numbers, including base-ten 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 MATH-096 or higher, minimum grade C.
Offered: FASP
3.0 credits MATH-122: 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 MATH-121 with a C or better.
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: Completion of MATH-096 minimum grade C, or appropriate Math Accuplacer score.
Offered: ALL
3.0 credits MATH-160: 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 real-world applications. Other topics include systems of linear equations and inequalities, matrices, linear programming sequences and series.
Prerequisites: Completion of MATH-115 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. 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 MATH-115 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, inverse trigonometric functions, polar coordinates, and vectors. Prepares the student to utilize trigonometry in the analysis of Calculus. Students need both Trigonometry and Pre-Calculus before entering Calculus I.[NM Common Course Number MATH 1213, Area II: Mathematics Core]
Prerequisites: Completion of 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: Complete 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 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: 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: Complete MATH-188 with a minimum grade of 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: Take MATH-121 with a minimum grade of C or better.
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: Complete MATH-188 with a minimum grade of C.
Offered: SP
4.0 credits MATH-251: 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, 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: Completion of MATH-115 minimum grade C, or appropriate Math Accuplacer score.
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, divergence, and the three fundamental theorems.[NM Common Course Number MATH 2614, Area II: Mathematics Core]
Prerequisites: Take MATH-189 with a minimum grade of 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: Take MATH-189 with minimum grade of C.
Offered: DMND
4.0 credits MATH-282: Differential Equations
A course which gives an in-depth 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, Cauchy-Euler equations, infinite series techniques, systems, numerical techniques and qualitative aspects.[NM Common Course Number MATH 2814, Area II: Mathematics Core]
Prerequisites: Complete MATH-268 with a minimum grade of 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.