# Course Catalog : Subject Area

**Mathematics Courses Offered @ TNCC**

Course | Description and Pre-requisites |
---|---|

MTH 103 |
Applied Technical Mathematics I(3 credits) Prerequisite(s): Competency in Math Essentials units 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents a review of arithmetic, elements of algebra, geometry, and trigonometry. Directs applications to specialty areas. Part I of II. Lecture 3 hours per week. |

MTH 115 |
Technical Mathematics I(3 credits) Prerequisite(s): ENF 1 or ENF 2 as demonstrated through the placement and diagnostics tests or equivalent and competency in Math Essentials units 1-6 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers. Part I of II. Lecture 3 hours per week. |

MTH 116 |
Technical Mathematics II(3 credits) Prerequisite(s): ENF 1 or ENF 2 as demonstrated through the placement and diagnostics tests or equivalent and competency in Math Essentials units 1-6 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required Math Essentials units or equivalent. . Presents algebra through exponential and logarithmic functions, trigonometry, vectors, analytic geometry, and complex numbers. Lecture 3 hours per week. |

MTH 120 |
Introduction to Mathematics(3 credits) Prerequisite(s): ENF 1 or ENF 2 and competency in Math Essentials units 1-3 as demonstrated through the placement and diagnostics tests, or by satisfactorily completing the required Math Essentials units or equivalent. Introduces number systems, logic, basic algebra, and descriptive statistics. (Intended for occupational/technical programs.) Lecture 3 hours per week. |

MTH 126 |
Mathematics For Allied Health(3 credits) Prerequisite(s):Competency in Math Essentials units MTE 1-3 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents scientific notation, precision and accuracy, decimals and percents, ratio and proportion, variation, simple equations, techniques of graphing, use of charts and tables, logarithms, and the metric system. Lecture 3 hours per week. |

MTH 151 |
Mathematics for the Liberal Arts I(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENF 1 or ENF 2 and competency in Math Essentials units 1-5 as demonstrated through the placement and diagnostics tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents topics in sets, logic, numeration systems, and selected topics in algebra and geometry. The course will include computer applications. Lecture 3 hours per week. |

MTH 152 |
Mathematics for the Liberal Arts II(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENF 1 or ENF 2 and competency in Math Essentials units 1-5 as demonstrated through the placement and diagnostics tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents topics in functions, graphs, systems of equations, combinatorics, probability, and statistics. The course will include computer applications. Lecture 3 hours per week. |

MTH 157 |
Elementary Statistics(3 credits) Prerequisite(s): ENF 1 or ENF 2 and competency in Math Essentials units 1-5 as demonstrated through the placement and diagnostics tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents elementary statistical methods and concepts including descriptive statistics, estimation, hypothesis testing, linear regression, and categorical data analysis. Lecture 3 hours per week. |

MTH 158 |
College Algebra(3 credits) Prerequisite(s): Competency in Math Essentials units MTE 1-9 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required Math Essentials units or equivalent. Covers the structure of complex number systems, polynomials, rational expressions, graphing, systems of equations and inequalities and functions, quadratic and rational equations and inequalities. Lecture 3 hours per week. |

MTH 163 |
Precalculus I(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENF 1 or ENF 2 and competency in Math Essentials units 1-9 as demonstrated through the placement and diagnostics tests, or by satisfactorily completing the required Math Essentials units or equivalent. (Credit will not be awarded for both MTH 163 and MTH 166.) Presents topics in college algebra, matrices and determinants, and algebraic, exponential, and logarithmic functions. Lecture 3 hours per week. |

MTH 164 |
Precalculus II(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): MTH 163 or equivalent. Presents topics in trigonometry, analytic geometry, and sequences and series. Lecture 3 hours per week. |

MTH 173 |
Calculus with Analytic Geometry I(4 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENF 1 or ENF 2 if required by individual student's placement; a placement recommendation for MTH 173 and four units of high school mathematics including Algebra I, Algebra II, Geometry and Trigonometry or equivalent (MTE 1-9 and MTH 163-164). Presents the calculus of algebraic and trigonometric functions including the study of limits, continuity, derivatives, differentials, and an introduction to integration which includes definite and indefinite integrals. Analytic geometry is integrated into this course as are applications of the derivative and definite integral. Lecture 4 hours per week. |

MTH 174 |
Calculus With Analytic Geometry II(4 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): MTH 173 or equivalent. Continues the study of the calculus of transcendental functions including inverse trigonometric and hyperbolic functions, rectangular, polar, and parametric graphing, indefinite and definite integrals, methods of integration, indeterminate forms and improper integrals, analytic geometry and power series along with applications of these topics. Lecture 4 hours per week. |

MTH 180 |
Finite Mathematics(3 credits) Students are required to have a graphing calculator for this course. The TI-83 or TI-83 Plus is recommended. Prerequisite(s): ENF 1 or ENF 2 and competency in Math Essentials units MTE 1-9 as demonstrated through the placement and diagnostic tests, or by satisfactorily completing the required Math Essentials units or by satisfactorily completing the required MTE units or equivalent. Covers systems of linear equations, matrices, linear programming, counting techniques, probability theory, game theory, and the mathematics of finance. Lecture 3 hours per week. |

MTH 231 |
Construction Estimating I(3 credits) Prerequisite(s): MTH 103 or higher and BLD 109. Focuses on materials take-off and computing quantities from working drawings and specifications. Includes methods for computing quantities of concrete, steel, masonry, roofing, excavation. Deals with pricing building components, materials and processes, as well as transportation and handling costs, mark-up discount procedures, equipment cost and labor rates. Lecture 3 hours per week. |

MTH 240 |
Statistics(3 credits) Prerequisite(s): Placement recommendation MTH 240 and successful completion of MTH 158 or MTH 163 or MTH 166 or equivalent. Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, and correlation and regression. Lecture 3 hours per week. |

MTH 243 |
Probability and Statistics I(3 credits) Prerequisite(s): MTH 174 or equivalent. Uses calculus to develop the theory of probability and statistics including discrete and continuous distribution theory, Poisson processes, moment generating functions, central limit theorem, hypothesis testing and estimation. Designed for mathematical, physical, and engineering science programs. Lecture 3 hours per week. |

MTH 270 |
Applied Calculus(3 credits) Prerequisite(s): MTH 163 and 4 years high school mathematics (Algebra I, Algebra II, Geometry, and Pre-Calculus). Introduces limits, continuity, differentiation and integration of algebraic and transcendental functions, techniques of integration, and partial differentiation. Introduces limits, continuity, differentiation and integration of algebraic and transcendental functions, techniques of integration, and partial differentiation. Lecture 3 hours per week. |

MTH 277 |
Vector Calculus(4 credits) Prerequisite(s): MTH 174 or equivalent. Presents vector valued functions, partial derivatives, multiple integrals, and topics from the calculus of vectors. Designed for mathematical, physical, and engineering science programs. Lecture 4 hours per week. |

MTH 280 |
History of Mathematics(3 credits) Prerequisite(s): MTH 173 or equivalent (one semester of Calculus with Analytical Geometry). Covers the history of mathematics from the ancient Egyptians and Babylonians through the development of the calculus to selected topics of modern mathematics. Lecture 3 hours per week. |

MTH 285 |
Linear Algebra(3 credits) Prerequisite(s): MTH 174 or equivalent. Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigenvalues, and eigenvectors. Designed for mathematical, physical and engineering science programs. Lecture 3 hours per week. |

MTH 287 |
Mathematical Structures(3 credits) Prerequisite(s): MTH 164 or equivalent. Presents topics in mathematical structures that are of value to students majoring in Computer Science or other disciplines requiring programming skills. Covers logic, set theory, number theory, combinatorics, functions, relations, and graph theory. Lecture 3 hours per week. |

MTH 291 |
Differential Equations(3 credits) Prerequisite(s): MTH 174 or equivalent. Introduces first order differential equations, linear differential equations, numerical methods, and applications. Designed for mathematical, physical, and engineering science programs. Lecture 3 hours per week. |

MTH 292 |
Topics in Differential Equations(3 credits) Prerequisite(s): MTH 291 or equivalent. Introduces first order differential equations, linear differential equations, numerical methods, and applications. Designed for mathematical, physical, and engineering science programs. Lecture 3 hours per week. |