Foundational mathematics course for students under prepared in mathematics. Includes an extensive review of the arithmetic of real numbers and a thorough treatment of beginning algebra, as well as topics from number theory, discrete mathematics and geometry. Problem-solving strategies and applications are emphasized. Prerequisite: Satisfactory placement. Three lecture.
Practical mathematical skills needed in a wide variety of trade and technical areas. Course includes a review of fractions, decimals, percents, measurement, basic algebra and a brief overview of geometry and trigonometry. Prerequisite: TLC 092 or MAT 100, or satisfactory placement. Three lecture.
Instruction and practice in the mathematics of fundamental business operations. Percentages, payroll, the mathematics of buying, selling and inventory, interest computations, loans, investments and taxes. Prerequisite: TLC 092 or MAT 100, or satisfactory placement. Three lecture.
Reviews the nature and uses of modern mathematics for students in the arts, humanities, and social sciences. It is not intended for science or technical students, but is designed to meet the math requirements for an AAS degree in selected majors. (See Degree Programs) Prerequisite: TLC 092 or MAT 100, or satisfactory placement. Three lecture.
An introduction to algebra for those who have not previously studied it or for whom it has been some time since doing so. It is the first class in a two-semester course in algebra. It is assumed that after completion of this class, you will finish the remainder of this algebra sequence by enrolling in MAT 112, Algebra II: Intermediate. This course examines the fundamental ideas of algebra and presents basic laws, properties and operations. Techniques for handling algebraic expressions and solving linear equations and inequalities are covered in depth. Problem-solving strategies and applications are emphasized. Prerequisite: TLC 092 or MAT 100, or satisfactory placement. Three lecture.
Second part of a two-semester course in algebra. Extends understanding of basic algebraic concepts and skills. Operations on rational and radical expressions and techniques for solving quadratic, rational, exponential and logarithmic equations are covered in depth. Functions, relations, operations on functions and the graphs and inverses of functions are also covered. Problem-solving strategies and applications are emphasized. Prerequisite: MAT 109 or satisfactory placement.
Extends student's understanding of basic algebraic concepts and skills. Techniques for solving equations in one and two variables, rational equations, inequalities, polynomials, powers and roots and equations of second degree are covered in depth. Problem-solving strategies and applications are emphasized. Prerequisite: Satisfactory placement. Four lecture.
Statistical methods used in collecting, tabulating, analyzing, and presenting data. Covers frequency distributions, measures of central tendency, and elementary probability and statistical inference. Prerequisite: MAT 112 or MAT 121 or satisfactory placement. Three lecture.
Emphasis on developing quantitative skills and reasoning ability. The primary topics covered are management science, statistics, social choice and size and shape. Prerequisite: MAT 112 or MAT 121 or satisfactory placement. Three lecture.
Algebraic concepts at the college level: The approach is intuitive and interactive, with an emphasis on real-life applications and the use of current technologies, particularly graphing calculators. Coursework includes a review of basic algebra, progressing to techniques for solving equations and inequalities both algebraically and graphically. Also covers polynomial, rational, radical, exponential and logarithmic functions and their graphs, as well as sequences, series, and combinatorics. TI-83 graphing calculators required. Prerequisites: MAT 112 or MAT 121, or satisfactory placement. Three lecture.
Prepares students to teach in an elementary school setting. Topics include teaching critical thinking skills, problem solving, mathematical algorithms, number theory, and proportional reasoning. Specifically designed for student pursuing an associate degree in elementary education at NPC and/or pursuing a bachelor's degree in elementary education. Prerequisites: MAT 142 or MAT 152. Three lecture.
Second course in math for elementary teaching sequence. Algebra-based course which prepares students to teach in an elementary school setting. Topics include measurement, analyzing data, plane and coordinate geometry, probability and statistics, and algebra. Specifically designed for student pursuing an associate degree in elementary education at NPC and/or pursuing a bachelor's degree in elementary education. Prerequisite: MAT 161. Three lecture.
Realistic applications that illustrate the uses of finite mathematics in business and economics, biology and medicine, and the social sciences. Topics include linear equations, matrices and linear programming, probability and statistics and the mathematics of finance. Prerequisite: MAT 152. Three lecture.
Concepts in algebra and trigonometry necessary to prepare for calculus. The approach is intuitive and interactive, with an emphasis on real-life applications and the use of current technologies, particularly graphing calculations. Coursework includes trigonometric functions, analytic trigonometry, vectors and applications, systems of equations and inequalities, matrices and determinants, and analytic geometry. Prerequisites: Graphing calculator required. MAT 152. Three lecture.
Covers differential and integral calculus of elementary functions, oriented toward students majoring in business, management, economics, or the life sciences or social sciences. Emphasizes physical interpretations and problem solving, including the study of functions and graphing, the derivative and its applications, exponential and logarithmic functions, integration and its application and an introduction to multivariate calculus. Prerequisite: MAT 152. Four lecture.
First course in calculus for students in mathematics, engineering and the sciences. Covers limits and continuity, the -derivative and its applications, logarithmic and exponential functions, analysis of functions and their graphs, and integration. Prerequisite: MAT 189. Four lecture.
Second course in calculus for students in mathematics, engineering and the sciences. Covers integration and principles of integral evaluation, applications of the definite integral in geometry, science and engineering, mathematical modeling with differential equations, infinite series, and analytic geometry in calculus. Prerequisite: MAT 221. Four lecture.
Third course in calculus for students in mathematics, engineering and the sciences. Covers three-dimensional space, vector-valued functions, partial derivatives, multiple integrals and topics in vector calculus. Prerequisite: MAT 231. Four lecture.
Introductory course in differential equations for students in mathematics, engineering and the sciences. Stresses the methods of solving elementary differential equations and the applications related to them. First and second order and homogeneous and non-homogeneous equations, systems of equations and basic power series methods are covered, as well as mathematical modeling of applications. Prerequisite: MAT 241 or instructor permission. Four lecture.
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