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Mathematics courses

MAT090 Basic Algebra
MAT105 Topics in Contemporary Mathematics
MAT107 Mathematics for Elementary Teachers
MAT108 Precalculus Mathematics
MAT111 Calculus for Management, Life and Social Sciences
MAT112 Calculus I
MAT116 Statistics for the Natural and Social Sciences
MAT117 Applied Statistics for Management
MAT180 Logic and Discrete Mathematics
MAT208 Biostatistics
MAT211 Calculus II
MAT212 Calculus III
MAT216 Advanced Statistical Methods
MAT308 Methods of Teaching Secondary School Mathematics
MAT312 Differential Equations
MAT316 Probability and Statistics I
MAT317 Linear Algebra
MAT398 Directed Study
MAT411 College Geometry
MAT412 Real Analysis
MAT416 Probability and Statistics II
MAT417 Internship
MAT419 Introduction to Abstract Algebra
MAT420 Actuarial Exam Review
MAT425 Advanced Topics in Mathematics
MAT430 Actuarial Modeling I
MAT431 Actuarial Modeling II
MAT499 Honors Research
 
MAT090 Basic Algebra 2 credits
This course covers basic concepts of numbers (addition, subtraction, multiplication and division in the integers, rational numbers and real numbers), basic properties of exponents, linear equations in two variables and their applications in problem solving, inequalities, the use of formulas and an introduction to the rectangular coordinate system and graphing. Counts toward full-time student status but is not included in grade point averages. Credit attempted in Basic Algebra does not count toward graduation. Does not count toward a math major or minor. Does not fulfill the math requirement or any graduation requirement. (2 credits)
 
MAT105 Topics in Contemporary Mathematics 3 credits
(general education option under mathematics) The purpose of this course is to explore a variety of mathematical topics arising in today's technological society. The course will also explore the development of these topics in a historical perspective. Students will develop skills necessary for the independent learning and communication of mathematical ideas. Possible topics include statistical concepts, population pattens, codes, networks, social decision-making strategies, planning and scheduling, linear programming and logic. Prerequisite: C- or better in MAT090, an ACT math score of 20 or above (SAT 480 or above), or a passing score on MAT090 placement exam. (3 credits)
 
MAT107 Mathematics for Elementary Teachers 3 credits
(general education option under mathematics) A study of those topics necessary and helpful for competent and enthusiastic teaching of mathematics in the elementary school including some history of mathematics, development of number systems, number bases, sets, fundamental algebra and geometry, and use of computers in the classroom. It is limited to elementary education majors only. Does not count toward a math major or minor. Prerequisite: C- or better in MAT090, an ACT math score of 20 or above (SAT 480 or above), or a passing score on MAT090 placement exam. (3 credits)
 
MAT108 Precalculus Mathematics 3 credits
(general education option under mathematics) This course covers algebraic material needed for the study of calculus and used in scientific fields of study. Topics include a thorough study of functions (linear, polynomial, rational, exponential, logarithmic and trigonometric, as well as combinations of functions through addition/subtraction, multiplication/division and composition), inverse functions, solving equations and systems of equations, matrices, and conic sections. Prerequisite: grade of C- or better in MAT090 or an ACT math score of 20 or above (SAT 480 or above). (3 credits)
 
MAT111 Calculus for Management, Life and Social Sciences 3 credits
(general education option under mathematics) A calculus course for non-majors that emphasizes applications and techniques that are of significance in business, biology, health and social sciences. Applications involving both differential and integral calculus are included. Does not count toward a math major or minor. Prerequisite: C- or higher in MAT108, or an ACT math score of at least 22 (SAT 520 or above), or permission of mathematics department chair. (3 credits)
 
MAT112 Calculus I 4 credits
(general education option under mathematics) A study of functions, limits, derivatives and integrals with a strong emphasis on both theory and applications. Meets four times per week. Prerequisite: C- or higher in MAT108, or an ACT math score of at least 24 (SAT 550 or above), or permission of mathematics department chair. (4 credits)
 
MAT116 Statistics for the Natural and Social Sciences 3 credits
(general education option under mathematics) Topics in probability and statistics with an emphasis on problems in the sciences: discrete and continuous distributions, estimation and hypothesis testing, p-values, correlation, simple linear regression. Students may not receive credit for both MAT116 and 117. Prerequisite: grade of C- or better in MAT090 or an ACT math score of 20 or above (SAT 480 or above). (3 credits)
 
MAT117 Applied Statistics for Management 3 credits
(general education option under mathematics) Topics in probability and statistics with an emphasis on problems in business: descriptive measures, distributions, one sample estimation and hypothesis testing, correlation, simple linear regression. Students may not receive credit for both MAT116 and 117. Prerequisite: grade of C- or better in MAT090 or an ACT math score of 20 or above (SAT 480 or above). (3 credits)
 
MAT180 Logic and Discrete Mathematics 3 credits
An introduction to the language and logic of mathematical proof via topics in discrete mathematics. Topics will include logic, elementary number theory, basic set theory and methods of mathematical proof (direct proof, indirect proof, induction). Other topics will be chosen from counting, functions, relations, recursion and graph theory. Prerequisite: C- or better in MAT112 or permission of instructor. (3 credits)
 
MAT208 Biostatistics 4 credits
(general education option under mathematics) This course covers the statistical concepts and methodology commonly used in the biological and health sciences. Topics include: descriptive statistics, probability, confidence intervals, hypothesis testing, correlation and regression, contingency tables and non-parametric tests. Meets four times per week. Prerequisite: C- or better in MAT090, an ACT math score of 20 or above (SAT 480 or above), or a passing score on MAT090 placement exam. (4 credits)
 
MAT211 Calculus II 4 credits
A study of transcendental functions, techniques of integration, improper integration, sequences, series, polar coordinates and conic sections. Meets four times per week. Prerequisite: C- or better in MAT112 or permission of instructor. (4 credits)
 
MAT212 Calculus III 4 credits
A study of the cylindrical and spherical coordinate systems; vectors in two dimensions and three dimensions; vector valued functions; functions of several variables; multiple integration; and vector calculus. Meets four days per week. Prerequisite: C- or better in MAT211 or permission of instructor. (4 credits)
 
MAT216 Advanced Statistical Methods 3 credits
Further topics in probability and statistics selected from: multiple regression, ANOVA, non-linear regression, covariance, colinearity, time series and auto-correlation. Prerequisite: grade of C- or better in MAT116 or 117 or permission of instructor. (3 credits; alternate years, consult department)
 
MAT308 Methods of Teaching Secondary School Mathematics 2 credits
Content, techniques and materials for teaching mathematics at the secondary or junior high level. Does not count toward a math major or minor. Prerequisite: junior or senior class standing. (2 credits; alternate years, consult department)
 
MAT312 Differential Equations 3 credits
A study of the elementary theory, methods of solution and applications of differential equations, which may include topics such as first order ordinary differential equations, linear equations with constant coefficients, series solutions, variation of parameters, Laplace Transforms, linear systems, partial differential equations and Fourier Series. Prerequisite: grade of C- or better in MAT211 or permission of department chair. (3 credits)
 
MAT316 Probability and Statistics I 3 credits
A post-calculus course in probability and statistics, which develops the theory of discrete and continuous distributions, expected value, random variables and inferential statistics. Prerequisites: C- or better in MAT116 or 117; 180, 211 or permission of instructor. (3 credits; alternate years, consult department)
 
MAT317 Linear Algebra 3 credits
A study of the algebra of matrices and vector spaces including matrix operations, systems of equations, determinants, properties of real vector spaces, eigenvalues and eigenvectors. Prerequisite: grade of C- or better in MAT112, 180 or permission of instructor. (3 credits)
 
MAT398 Directed Study 2-4 credits
 
MAT411 College Geometry 3 credits
A study of topics in Euclidean geometry as well as axiomatic systems, non-Euclidean geometry and projective geometry. Prerequisite: grade of C- or better in MAT180 or permission of instructor. (3 credits; alternate years, consult department)
 
MAT412 Real Analysis 3 credits
A study of real-value functions including such topics as continuity, sequences and series, differentiation and integration. Students will also be introduced to the concept of a general metric space. Prerequisite: Grade of C- or better in MAT180, 211, or permission of instructor. (3 credits; alternate years, consult department)
 
MAT416 Probability and Statistics II 3 credits
A continuation of Probability and Statistics I. Emphasis will be placed on functions of random variables and sampling distributions. Prerequisite: MAT316. (3 credits; alternate years, consult department)
 
MAT417 Internship 6-8 credits
(2 credits may apply toward the major)
 
MAT419 Introduction to Abstract Algebra 3 credits
A study of groups, normal groups and factor groups, Cayley's Theorem, rings, ideals, homomorphisms, integral domains, fields, polynomial rings, field extensions and zeros of polynomials. Prerequisite: grade of C- or better in MAT317 or permission of instructor. (3 credits; alternate years, consult department)
 
MAT420 Actuarial Exam Review 1 credit 
This course is a comprehensive review of all materials for SOA/CAS exams. The course is tailored to the specific exam the student is planning on taking. Graded on a pass/no pass basis. Course may be repeated. Prerequisite: permission of chair of department. (1 credit; non-yearly, consult department)
 
MAT425 Advanced Topics in Mathematics 3 credits
This course will explore in more depth some of the mathematics that has been introduced in earlier courses. Topics will vary depending on the interests of students and faculty, but include complex analysis, graph theory and combinatorics, history of mathematics, math modeling, number theory, topology, and measure theory. Prerequisites: MAT180, 212, and 317 or permission of instructor. (3 credits; alternate years, consult department)
 
MAT430 Actuarial Modeling I 3 credits
This course is an introduction to the study of contingent payment models. Topics include: economics of insurance, individual risk models, survival distributions and life tables, benefit reserves, multiple life functions, multiple decrement models and introductory loss models. Prerequisite: Math 416. (3 credits; alternate years, consult department)
 
MAT431 Actuarial Modeling II 3 credits
This course continues Actuarial Modeling I and concentrates on loss models. Topics include: frequency and severity, aggregate loss models, discrete and continuous time ruin models, construction of empirical models, parameter estimation and model selection. Prerequisite: Math 430. (3 credits; alternate years, consult department)
 
MAT499 Honors Research 2-4 credits


Research the programs
Contact
Dr. Tim Huffman
Department of Mathematics
Northwestern College
101 7th St. SW
Orange City, IA 51041
712-707-7058
timh@nwciowa.edu

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