Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

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# Carroll Community College

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MATH-111 Fundamentals of Geometry and Measurement is intended for, but not limited to, students in the education major. Topics covered include plane and solid geometry, as well as standard and non-standard measurement. Geometry topics include circles, polygons, triangle congruence and similarity, coordinate geometry, and transformations. Measurement topics include metric and English systems, dimensional analysis, and constructions. The course emphasizes problem solving; educating elementary, middle, and high school students; and appropriate use of technology, including calculators and computers. Prerequisite: eligibility for ENGL-101, plus a satisfactory placement test score or completion of MAT-095 or MAT-099 with a minimum grade of C or better or any college level MATH course. Calculator with arithmetic functions, a compass, straight-edge, and ruler are required. Four hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION
MATH-115 Introduction to Statistical Methods is an introductory college level statistics course that provides a basic understanding of data analysis. Topics covered include measures of central tendency and variation, probability, discrete and continuous distributions, estimation and testing of population parameters, and linear correlation and regression. Statistical literacy will be emphasized throughout the course. Students in the areas of education, nursing, business, and the arts and sciences will find that this course enhances and clarifies use and application of statistics in their specializations. Credit by exam available; Advanced Placement Exam (Statistics) accepted. Prerequisite: eligibility for ENGL-101 and a satisfactory placement exam score or MAT-095 with a minimum grade of C or better or any college level MATH course. Graphing calculator required. Four hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION
MATH-121 Introduction to College Mathematics is a college-level mathematics course intended for students in General Studies, Liberal Arts, Humanities and other non-STEM fields. The language and nature of mathematics are studied through the topics of finance, matrices, sets, counting, probability, statistics and logic. Prerequisite: eligibility for ENGL-101 and a satisfactory placement exam score or MAT-095 with a minimum grade of C or better or any college level MATH course. Credit by exam is available. A graphing calculator is required. Three hours lecture each week. Three credits. Three billable hours. GENERAL EDUCATION
MATH-122 Examine concepts and principles of mathematics in elementary and early childhood education such as numeration systems, applications of the problem-solving process, reasoning, algebraic operations, the language of mathematics, number theory, and principles underlying the fundamental operations. Use hands-on materials and digital applications to model course concepts. Prerequisite: eligible for ENGL-101 plus MAT-099 with a minimum grade of C or better. Four hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION
MATH-123 Precalculus Part 1: College Algebra with Trigonometry provides the foundation to be successful in chemistry, physics, engineering and advanced mathematics. The precalculus and calculus sequences are intended for future mathematics/science/ engineering majors. Topics include relations and functions, including composite functions and inverse functions; analysis of polynomial, power, rational, exponential, logarithmic, and trigonometric functions and their graphs; right triangle trigonometry, and Laws of Sines and Cosines. Problems will be solved through analytic, numerical, and graphical approaches with an emphasis on setting up and solving relevant application problems. Students who need to take MATH-135, Calculus of a Single Variable 1, will need to complete both Precalculus Part 1 and Precalculus Part 2 in a two-semester-long sequence, or the rigorous one-semester MATH-130 course. Prerequisite: eligibility for ENGL-101, plus MAT-099 with a minimum grade of C or better or a satisfactory score on the math placement exam. It is strongly recommended that a student enroll in MATH-123 within one semester of completing MAT-099. Credit by exam available. Graphing calculator required. Four hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION
MATH-130 Precalculus is an intensive one semester course covering the same material that is included in MATH-123 Precalculus Part 1 and in MATH-124 Precalculus Part 2. MATH-130 is intended for future mathematics/science majors. Topics include relations and functions, including composite functions and inverse functions; analysis of polynomial, power, rational, exponential, logarithmic, trigonometric, inverse trigonometric, parametric, and polar functions and their graphs; right triangle trigonometry, trigonometric identities, trigonometric equations, use of trigonometric formulas in evaluating trigonometric expressions and in solving trigonometric equations, Laws of Sines and Cosines, vectors in the plane, the trigonometric form of a complex number and DeMoivre's Theorem, linear and nonlinear systems of equations, solutions of multivariable linear systems by the use of matrices and Gaussian elimination, systems of inequalities, conics, parametric equations, polar coordinates, and polar equations. Problems will be solved through analytic, numerical, and graphical approaches with an emphasis on setting up and solving relevant application problems. Students who need to take MATH-135, Calculus of a Single Variable 1, will need to complete MATH-130, Precalculus, or both MATH-123 and MATH-124 in a two-semester-long sequence. Credit by exam available; CLEP (Precalculus) accepted. Prerequisite: eligibility for ENGL-101; plus MAT-099 with a minimum grade of B or better, or a satisfactory score on the placement exam. Graphing calculator required. Credit cannot be earned in both MATH-123/124 and MATH-130. Five hours lecture each week. Five credits. Five billable hours. GENERAL EDUCATION
MATH-132 Applied Calculus introduces the basic concepts of Calculus with applications to Business, Life Sciences, and Social Sciences. Concepts of Limits, differentiation, and integrations will be introduced for polynomial, rational, exponential, and logarithmic functions. An introduction to functions involving several variables and partial derivatives will be included. Applications of Business, Life Sciences, and Social Sciences will be extensively developed. Students will utilize a graphing calculator throughout the course. Prerequisite: eligibility for ENGL-101, plus MATH-123 with a minimum grade of C or better, or satisfactory score on the placement test. Credit by exam available. Graphing calculator required. Four hours lecture each week. Three credits. Three billable hours. GENERAL EDUCATION
MATH-135 Calculus of a Single Variable 1 introduces the initial concepts of both differential and integral calculus. The concept of limits will be introduced both informally and through the formal epsilon- delta process. Derivatives and integrals of polynomial, power and trigonometric functions will be developed as well as general differentiation techniques (such as the chain rule and implicit differentiation). Evaluation of definite integrals will be covered through limits of Riemann Sums, numerical integration techniques, and the Fundamental Theorems of Calculus. Applications of calculus to graphing and to physical situations will be extensively developed. Prerequisite: eligibility for ENGL-101, plus MATH-123/MATH-124 or MATH-130 with minimum grades of C or better or satisfactory scores on the placement test. Credit by exam available. Five hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION

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Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

Subject: Mathematics*

Departments: Mathematics , Gen Ed Mathematics , General Education Elective

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Carroll Community College

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Westminster,
MD
21157.
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