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MTH 133: Technical Math 1
4.00 Credits
Jefferson Community College
This course is designed to provide students with skills in intermediate algebra and trigonometry with technical applications. It is intended for students in technical fields who wish to broaden their mathematics skills. Topics include operations with numbers, solving linear equations, systems of equations and determinants, ratio, proportion, factoring, measurement, functions and graphs, quadratic functions, elementary geometric figures and formulas, vectors, and right triangle trigonometry. Scientific and technical applications of mathematics will be stressed. Students will be expected to demonstrate competency with graphing calculator/computer technology. Prerequisite: Elementary Algebra, MTH 095, or permission of the instructor. 4 cr. 4 Lec. (Departmental Standards Version of MTH 133.)
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MTH 144: Element Statistics
3.00 Credits
Jefferson Community College
This course provides a basic introduction to statistics and its applications to mathematics, science, social science, and business. Emphasis is placed on calculating, interpreting, reading and reporting through writing, descriptive statistics. Topics include: The design of a statistical study, observational studies, experiments, graphs, tables, statistical notation, measures of central tendency, variability, probability, the normal distribution, correlation and regression. Students will be expected to read, summarize and interpret current newspaper and journal articles and/or conduct a survey and report the results. Students will also be expected to demonstrate competency with current technology. Prerequisite: Students must satisfy both of the following:(1) Math placement (by CPT) into MTH 144 (Elementary Statistics) or passed MTH 125 (Intermediate Algebra), or MTH 124 (Reasoning with Data) and (2) English placement (by CPT) into ENG 101 (Research and Composition) or passed ENG 100 (Composition 1). Not open, without permission of the department chair, to students with a C or better in MTH 155 or credit for a higher level class. 3 cr. 3 Lec. (Per Departmental Standards Version of MTH 144, approved by Academic Affairs on 12/20/2007).
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MTH 148: Math for Elementary Teachers 1
3.00 Credits
Jefferson Community College
This course is the first of a two-semester sequence designed for the prospective New York State teaching bands Birth-2, 1-6, 5-8, and Birth-6. Students who plan to transfer to a four-year institution in Early Childhood, Childhood, or Middle Childhood Education should take this course. Students will develop an understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics' (NCTM) Standards. Topics include: problem solving, sets, whole numbers, functions, numeration systems, integers, rational numbers, real numbers, and number theory. A hands-on problem solving technology-based approach will be emphasized throughout this course. Prerequisite: Two years of high school algebra with college placement testing at MTH 155 or above OR successful completion of MTH 125 (Intermediate Algebra). 3 cr. 3 Lec. (Per Departmental Standards Version of MTH 148, approved by Academic Affairs on 3/18/04).
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MTH 149: Math for Elementary Teachers 2
3.00 Credits
Jefferson Community College
This course is the second of a two-semester sequence designed for the prospective New York State teaching bands Birth-2, 1-6, 5-8, and Birth-6. Students who plan to transfer to a four-year institution in Early Childhood, Childhood, or Middle Childhood Education should take this course. Students will develop an understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics' (NCTM) Standards. Topics include: geometry, constructions, congruence, similarity, measurement, and motion geometry. A hands-on problem solving technology-based approach will be emphasized throughout this course. Prerequisite: Successful completion of MTH 148 or permission of the instructor. 3 cr. 3 Lec. (Per Departmental Standards Version of MTH 149, approved by Academic Affairs on 3/18/04).
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MTH 155: College Algebra
3.00 Credits
Jefferson Community College
A curve fitting approach is employed to focus on modeling real data. The concept of function will be integrated as authentic applications are explored to deepen a student's understanding of linear, exponential, quadratic, and rational models.
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MTH 166: College Trigonometry
3.00 Credits
Jefferson Community College
This course provides an introductory study of trigonometric principles and their applications. Topics include a review of algebraic functions and their graphs, an overview of angles and their measure, unit circle and right triangle definitions of trigonometric functions, properties of trigonometric functions and their graphs and inverses, circular motion, solution of triangles, trigonometric equations, identities and formulas, Law of Sines, Law of Cosines and computation of triangle area using trigonometry. Contextual applications will be stressed. Students will be required to demonstrate competency using graphical calculator/computer technology. Prerequisite: Two years of High School Mathematics (Course II) or MTH 155 (College Algebra). 3 cr. 3 Lec. (Departmental Standards Version of MTH 166 - approved by Academic Affairs on 11/13/97.)
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MTH 174: Mathematical Probability and Statistics
3.00 Credits
Jefferson Community College
This course is a study of the scientific method and the role of probability and statistics in making inferences based on observed data. Topics include descriptive statistics, correlation and linear regression, the Method of Least Squares, probability, the binomial random variable, the normal random variable, sampling distributions, and statistical inference including single-sample estimation and single and two-sample hypothesis testing using the t, z, and X squared distributions. Students are required to develop and demonstrate literacy with current technology as it applies to the study of MTH 174. Prerequisite: Three (3) years of New York State Regents mathematics (or equivalent), Elementary Statistics (MTH 144), or College Algebra (MTH 155), or above. 3 cr. 3 Lec. (Per Departmental Standards Version of MTH 174 approved by Academic Affairs on 9/7/06).
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MTH 184: Probability and Statistics 2
3.00 Credits
Jefferson Community College
This course is a continuation of MTH 174 (Mathematical Probability and Statistics I) and a further study of inferential statistics. Topics include two-sample estimation and significance testing, analysis of variance, nonparametric statistics, Chi-Square tests and analysis of contingency tables, simple regression, multiple linear regression, and a variety of nonlinear regression techniques. Students will further develop and demonstrate proficiency with graphing calculator/computer technology. Prerequisite: Successful completion of MTH 174 (Mathematical Probability and Statistics) or permission of the instructor. 3 cr. 3 Lec. (Departmental Standards Version of MTH 184 - approved by Academic Affairs on 11/13/97.)
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MTH 185: Precalculus
4.00 Credits
Jefferson Community College
This course provides sufficient mathematical background for Calculus. Topics covered include properties and graphs of functions, polynomial, rational, exponential, logarithmic, and trigonometric functions, equations and inequalities, and analytic geometry. Students will be expected to demonstrate competence in the use of current technology as it applies to Precalculus topics. Prerequisite: Three years of High School mathematics, or MTH 155 (College Algebra), or permission of instructor. 4 cr. 4 Lec. (Departmental Standards Version of MTH 185 - approved by Academic Affairs on 3/11/99.)
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MTH 221: Calculus 1
4.00 Credits
Jefferson Community College
This course is an introduction to Calculus with emphasis on the concepts of limit, continuity, the derivative, and an introduction to integration. MTH 221 includes the following applications of the derivative: the derivative as a rate of change, optimization, and the application of the derivative to the solution of word problems. Students are required to develop and demonstrate literacy with current technology as it applies to the study of Calculus 1. Prerequisite: Four years of high school mathematics including Precalculus or MTH 185 (Precalculus). 4 cr. 4 Lec. (Per Departmental Standards Version of MTH 221, approved by Academic Affairs on 3/24/05).
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