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Course Descriptions
Mathematics Department
MAC1105
College Algebra, 3 credit hours (Fall, Spring, Summer)
Function-based college algebra course which will include the following topics: functions and functional notation; domains and ranges of functions; graphs of functions and relations; operations on functions; inverse functions; linear, quadratic, and rational functions; absolute value and radical functions; exponential and logarithmic properties, functions, and equations; systems of equations and inequalities; and applications of functions (curve fitting, modeling, optimization, exponential/logarithmic growth and decay).Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisites: MAT 1033A “Intermediate Algebra” or equivalent with a “C” or better or suitable placement score.
MAC1114
Trigonometry, 3 credit hours (Fall, Spring, Summer)
This is the second course in a pre-calculus sequence. A typical modern trigonometry course which includes the following topics; the six trigonometric functions and their inverses; identities; right triangles; applications; vectors; circular functions; graphs of trig functions and inverse trig functions; trigonometric equations; triangles; complex numbers; and polar graphs. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: Either completion of MAC 1140 with a grade of “C” or better, or concurrent enrollment in MAC 1140. Equivalent courses from other institutions may be used to meet the prerequisites.
MAC1140
Pre-Calculus Algebra, 3 credit hours (Fall, Spring, Summer)
First course in a two-course precalculus sequence. Covers equations and inequalities; linear, quadratic logarithmic and exponential functions and relations; systems of equations, matrices and determinants, mathematical proof techniques, including mathematical induction. Binomial theorem, sequences and series; and applications of algebraic techniques in the real world. Nonsymbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: Completion of MAC 1105 with a grade of “C” or better, or equivalent.
MAC1154
Analytic Geometry, 3 credit hours (Offered as needed)
Typical modern analytic geometry course in two-and three-dimensional space. Prerequisite: Completion of MAC 1140 and MAC 1114 with a grade of “C” or better or equivalent.
MAC2233
Calculus for Business, 3 credit hours (Offered as needed)
A Calculus course covering limits, continuity, differentiation, and integration with emphasis on business applications. There is some mathematical theory; but, in general, topics are approached from an intuitive and applied point of view. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: Grade of “C” or better in MAC 1105 or equivalent.
MAC2311
Calculus I, 4 credit hours (Fall, Spring, Summer)
First course in a three-course sequence. Covers limits and continuity, rules of differentiation, the chain rule, derivatives of trigonometric functions, derivatives of logarithmic functions, derivatives of exponential functions, derivatives of inverse trigonometric functions, applications of derivatives to curve sketching, L’Hopital’s Rule, indeterminate forms and maxima/ minima problems, the mean value theorem, Rolle’s theorem, the definite and indefinite integrals and the Fundamental Theorem of Integral Calculus, area, and applications of integrals. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: Completion of MAC 1114, or MAC 1147 with a grade of “C” or better, or equivalent.
MAC2312
Calculus II, 4 credit hours (Fall, Spring, Summer)
Second course in a three-course sequence. Techniques for finding areas, volumes, arc lengths and surface areas; methods of integration including integration by parts, trigonometric substitution, and partial fractions; indeterminate forms and L’Hopital’s Rule; improper integrals, conic sections; graphing and area in polar coordinates; infinite sequences and series; tests for absolute and conditional convergence of series; power series. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: Completion of MAC 2311 with a grade of “C” or better or equivalent.
MAC2313
Calculus III, 4 credit hours (Fall, Spring, Summer)
Third course in a three-course sequence. Vectors and vector functions; dot product, cross product, curvature, and motion in space; quadric surfaces; functions of two or more variables, partial derivatives, gradients, directional derivatives, tangent lines and planes, and application of partial derivatives to maxima/minima; Lagrange multipliers, Taylor’s formula; multiple integrals in rectangular, cylindrical, and spherical coordinates, and their applications; line integrals; Green’s theorem, surface area, the divergence theorem and Stokes’s theorem. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: Completion of MAC 2312 with a grade of “C” or better, or equivalent.
MAP2302
Differential Equations, 3 credit hours (Fall, Spring)
An introduction to ordinary differential equations with an emphasis on first and second order linear equations and applications. Prerequisite: Either completion of MAC 2313 with a “C” or better or concurrent enrollment in MAC 2313. Equivalent courses from other institutions may be used to meet the prerequisite.
MAS2103
Linear Algebra, 3 credit hours (Offered as needed)
An introductory course in Linear Algebra intended to give students enough insight to enable successful pursuit of more abstract mathematics courses. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: MAC 2312 with a grade or “C” or better, or equivalent.
MAT0002A
College Preparatory Math, 2 college prep credits (Offered as needed)
This course is designed for students whose entry level placement test scores do not meet requirements for degree credit (not applicable for degree completion). It is designed to reinforce knowledge of operations with fractions, decimals, percents and signed numbers with applications.
MAT0024
College Preparatory Algebra, 4 college prep credits (Fall, Spring, Summer)
This course is designed for students whose entry level placement test scores do not meet requirements for degree credit (not applicable for degree completion). This course emphasizes concepts, techniques, and applications of the following topics: operations with real numbers; properties of real numbers; linear equations and inequalities; rational expression and equations; properties of exponents; polynomials; radical expressions; and graphs of lines. Prerequisite: Score of 50-71 on FCPT.
MAT1033A
Intermediate Algebra, 4 credit hours (Fall, Spring, Summer)
An intermediate algebra course to prepare students for general education mathematics/statistics courses. This course emphasizes concepts, techniques, and applications of the following major topics; factoring, algebraic functions, radicals and rational exponents, complex numbers, quadratic equations, rational equations, two-variable linear equations/ inequalities and their graphs, systems of linear equations and inequalities, and an introduction to functions. Prerequisite: suitable placement score or completion of MAT 0024 (or equivalent) with a grade of “C” or better and a passing score on the college prep algebra exit exam. This course may be used as an elective, but does not meet Gordon Rule requirements for B.A.S., A.A., or A.S. transfer students.
MGF1106
Mathematics for Liberal Arts I, 3 credit hours (Fall, Spring, Summer)
This course is designed for those students requiring only general education mathematics courses. It includes systematic counting, probability, statistics, and history of mathematics, geometry, sets and logic. Prerequisite: Completion of MAT 1033A or higher mathematics course with a grade of “C” or better, or equivalent or suitable placement score.
MGF1107
Mathematics for Liberal Arts II, 3 credit hours (Fall, Spring, Summer)
This course is designed for those students requiring only general education mathematics courses. Topics include numeration and mathematical systems, number theory, linear and -exponential growth, history of mathematics, voting techniques, graph theory, and consumer mathematics. Prerequisites: MAT 1033A or higher level math with a grade of “C” or better, or equivalent or appropriate placement score.
MGF1119
Practical Mathematics, 3 credit hours (Offered as needed)
This course is designed for students wishing to enter the fields of computer technology, business and finance, and medical services. It includes basic instruction on decimals, fractions, percents, ratio and proportion, signed numbers, order of operations, solving simple one-step equations, measures of central tendency, interest and dis-count, weights and measures, tem-perature conversion, basic geometric figures and formulas, chart and graph interpretation, and solving word prob-lems.
MGF2118
Math Preparation for CLAST, 1 credit hour (Fall, Spring, Summer)
A short course dealing with mathematical skills needed for successful completion of coursework in a variety of disciplines. Prerequisite: Completion of a general education mathematics course.
MTB1321
Technical Math I, 3 credit hours (Fall, Spring, Summer)
This course will include basic arithmetic and algebraic operations, converting be-tween scientific and engineering notations; solving linear equations and inequalities, converting units of measure,, using linear equations to solve problems in science and technology applications, and solving ge-ometry applications by geometry of trian-gle concepts. Prerequisite: MAT 0024 with a “C” or better or satisfactory test scores.
STA2023
Statistics, 3 credit hours (Fall, Spring, Summer)
General introduction to understanding and applying statistical concepts; topics include descriptive statistics, probability, random variables, distributions, estimations, hypothesis testing, two sample inferences, correlation and simple linear regression. Non-symbolic graphing calculators are required. The TI-83 Series is recommended. Prerequisite: MAT1033A or equivalent with a “C” or better, or appropriate placement score.
For more information, contact the Mathematics Department at (850) 729-5377 or
e-mail math@nwfstatecollege.edu.