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MATH 109: Statistical Literacy
3.00 Credits
Tompkins Cortland Community College
This course is a study of selected topics, from basic probability and statistics, including equally likely outcomes, conditional probability, mutually exclusive events, independent events, multiplication rule, mean, median, mode, standard deviation, normal curve, margin of error, and expected value. It is intended as a math elective for students without a background in algebra, and is not a substitute for a standard statistics course. Students are required to have an inexpensive statistics calculator capable of computing mean and standard deviation, TI-30Xa recommended. Cooperative work is encouraged. Math 109 fulfills the SUNY General Education Mathematics requirement. Prerequisite: Basic arithmetic skills. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 110: Topics in Mathematics
3.00 Credits
Tompkins Cortland Community College
Patterns in our number system, including Pascal's triangle and its use in probability set theory with applications, including Venn diagrams, clock arithmetic and numeration systems, particularly base 2, logic, including the study of truth tables and the nature of proofs, and an introduction to geometry are studied in order to provide students with a broad, general overview of some areas of interest and utility in mathematics. Prerequisite: MATH 090 or basic arithmetic skills. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 113: Mathematics for Elem School Teachers I
2.00 Credits
Tompkins Cortland Community College
This is the first in a two-semester course sequence for students who intend to become elementary school teachers, or for students in the Early Childhood program. It is designed to provide an understanding of the various mathematical concepts presented in elementary schools. There is an emphasis on problem solving, communicating using mathematical language and theory, rational numbers and decimals. Prerequisites: C or better grade in MATH 095 or equivalent, and prior completion or concurrent enrollment in ENGL 100. 3 Cr. (3 Lec.) Fall and spring semesters
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MATH 115: Mathematics for Elementary Sch Teach II
2.00 Credits
Tompkins Cortland Community College
This is the second in a two-semester course sequence for students who intend to become elementary school teachers, or for students in the Early Childhood program. The course is designed to provide an understanding of the various mathematical concepts presented in elementary school. There is an emphasis on problem solving. Communicating using mathematical language and notation is stressed. Topics include probability and statistics, geometry, concepts of measurement, tessellations, congruence and constructions. MATH 115, together with MATH 113, fulfills the SUNY General Education Mathematics requirement. Prerequisites: C or better grade in MATH 113 or equivalent, and prior completion or concurrent enrollment in ENGL 100. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 122: Technical Mathematics
3.00 Credits
Tompkins Cortland Community College
Designed specifically to meet the needs of students in technology programs, this course is a study of fundamental algebraic operations, linear equations, functions, applied geometry, trigonometry, and vector analysis. MATH 122 fulfills the SUNY General Education Mathematics requirement. Prerequisite: C or better grade in MATH 100 or appropriate qualifying test score. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 132: College Algebra and Trigonometry
3.00 Credits
Tompkins Cortland Community College
This course covers fundamental algebra and trigonometry between elementary algebra and pre-calculus. Topics include polynomial and rational expressions, graphing, functions, first and second-degree equations, polynomials and rational equations, absolute value, transformations, complex numbers, and right triangles and functional trigonometry. A specified model of graphing calculator is required. MATH 132 fulfills the SUNY General Education Mathematics requirement. Prerequisites: Prior completion or concurrent enrollment in ENGL 100, and a C or better grade in MATH 100, or appropriate qualifying test score. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 135: Precalculus Mathematics
3.00 Credits
Tompkins Cortland Community College
Provides the algebraic foundation, from a function standpoint, for a standard calculus course. Topics include linear, exponential, and logarithmic functions; analytic geometry; trigonometry and vectors. A TI-83 graphing calculator is required. MATH 135 fulfills the SUNY General Education Mathematics requirement. Prerequisites: Prior completion or concurrent enrollment in ENGL 100, and a C or better grade in MATH 122 or MATH 132, or appropriate qualifying test score. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 181: Discrete Mathematics
3.00 Credits
Tompkins Cortland Community College
This is an introductory course intended primarily for students in the computer science or the Liberal Arts Adolescence Teacher Education concentration in mathematics, but it could serve as a liberal arts math elective for any student. Topics include set theory, logic, methods of proof, counting methods, graph theory, and trees. Prerequisites: C or better grade in MATH 122 or MATH 132 or equivalent, and prior completion or concurrent enrollment in ENGL 100. 3 Cr. (3 Lec.) Spring semesters.
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MATH 200: Statistics
3.00 Credits
Tompkins Cortland Community College
A study of the application of statistical procedures to the analysis of experimental data. Topics covered include methods of presentation of data, measures of central tendency and dispersion, sampling techniques, elementary probability, hypothesis testing, confidence intervals on both one and two populations, and linear regression and correlation. Use of the binomial, the normal, the student's T, and the chi-square distributions are covered. A TI-83, TI-83 plus, or TI-84 graphing calculator is required. MATH 200 fulfills the SUNY General Education Mathematics requirement. Prerequisites: C or better grade in MATH 100 or equivalent, and prior completion or concurrent enrollment in ENGL 100. 3 Cr. (3 Lec.) Fall and spring semesters.
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MATH 201: Calculus I
3.00 Credits
Tompkins Cortland Community College
This is a first course in calculus for all disciplines. Topics include limits, continuity, derivatives of algebraic and trigonometric functions, antiderivatives, and the definite integral. Applications including curve sketching, optimization problems, related rates, area under and between curves, and volumes of revolution. A graphing calculator is required. MATH 201 fulfills the SUNY General Education Mathematics requirement. Prerequisite: C or better grade in MATH 135 or appropriate qualifying test score, and prior completion or concurrent enrollment in ENGL 100. 4 Cr. (4 Lec.) Fall and spring semesters.
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