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Catalog

Mathematics

MTH7003 Pre-Algebra (3)
Topics include whole numbers; multiplying and dividing fractions; adding and subtracting fractions; decimals; ratio and proportion; percent; measurement and units; geometry; basic algebra; real number system; equations, inequalities and applications; graphs of linear equations and inequalities in two variables; exponents and polynomials; foil, rational expressions, and applications. Course is graded Pass/Not Pass.

Note: Does not satisfy the General Education Mathematics requirement; units do not apply toward the baccalaureate degree.

MTH1012 Beginning Algebra (3)
Prerequisite
: Math Placement Level 1 or MTH7003 with a Passing grade
Topics include sets of real numbers, intervals, absolute values, linear equations and functions, inequalities, polynomials, factoring, and rational expressions.

Note: Does not satisfy the General Education Mathematics requirement; however, units do apply toward a bachelor’s degree.

MTH1105 Mathematics and Life (3)
Prerequisite
: Math Placement Level 1or MTH7003 with a Passing grade
This course is designed for day students in Arts, Humanities, and other majors that do not use Mathematics as a prerequisite in their curriculum. The topics are selected to introduce students to the role and usefulness of mathematics in everyday life. The focus is on understanding the concepts and the process of applying mathematical analysis to current and real problems. With only simple mathematical tools, students get a glimpse of the power of mathematical thinking. Satisfies the NDNU General Education Mathematics Requirement.

MTH1111 Statistical Concepts (3)
Prerequisite
: Math Placement Level 1or MTH7003 with a Passing grade
This evening course is designed for Human Services students. It may also be an option for students in Arts, Humanities, Social Sciences, and other majors that rarely use Mathematics or Statistics in their curriculum. The course covers very basic statistical concepts leading to an understanding of experimental design, mean, median, mode, standard deviation, and correlation and regression analysis. Also gives an introduction to probability, confidence intervals and hypothesis testing. With simple statistical and mathematical tools, students get a glimpse of the power of statistical and mathematical thinking.  Conceptual approach to understanding basic statitiscal/mathematical methods and their use in analyzing and interpreting data.  For Excel based statistical applications enroll concurrently in MTH1111L. Satisfies the NDNU General Education Mathematics Requirement.

Note: This course is not a transferable Statistics course.

MTH1111L Excel for Statistical Concepts (1)
Corequisite
: Concurrent enrollment in MTH1111 or instructor's permission
Basic statistical applications solved with Excel. Topics are compatible with MTH1111 content: experimental design, mean, median, mode, standard deviation, correlation and regression analysis, and an introduction to probability, confidence intervals and hypothesis testing.

MTH1114 Algebra for College (3)
Prerequisite:
Math Placement Level 2 or MTH1012 with a grade of C or higher
Continuation of Beginning Algebra. Topics include roots and radicals, quadratic functions, quadratic equations and inequalities, polynomial and rational functions, inverse functions, and exponential and logarithmic functions.  Other topics may include: systems of equations, matrix algebra, complex numbers. Emphasis is placed on developing conceptual understanding and problem-solving skills.

Note: Does not satisfy the General Education Mathematics requirement; however, units do apply toward a bachelor’s degree.

MTH1216 Precalculus with Trigonometry (4)
Prerequisite
: Math Placement Level 3 or MTH1114 with a grade of C or higher
Covers exponential and logarithmic functions, trigonometric functions of angles and real numbers, trigonometric equations and inequalities, inverse trigonometric functions, the law of sines and cosines, conic sections, vectors in the plane, polar coordinates, sequences and series, binomial theorem, and mathematical induction. The course introduces basic principles of mathematical proofs and elements of inductive and deductive reasoning. Additional topics if time permits: three-dimensional coordinate geometry, polar form of complex numbers, algebra of matrices, and systems of nonlinear equations. Satisfies the General Education Mathematics Requirement.

MTH1225 Statistics for Business (3)
Prerequisite:
Math Placement Level 3 or MTH1114 with a grade of C or higher
This course studies descriptive statistics, distributions and measures of central tendency and variation, probability concepts, normal distribution, sampling distributions, confidence intervals and hypothesis tests, chi-square procedures, and linear correlation and regression.  Other topics may include analysis of variance or time-series. Conceptual approach to understanding statistical/mathematical methods and their use in analyzing and interpreting typical business and economic situations.  For Excel based statistical business applications enroll concurrently in MTH1225L. Satisfies the General Education Mathematics Requirement.

MTH1225L Excel for Statistics for Business (1)
Corequisite
: Concurrent enrollment in MTH1225 – Statistics for Business or instructor's permission
Statisical business and economics applications are solved with Excel. Topics are compatible with MTH1225 content: descriptive statistics, distributions and measures of central tendency and variation, probability concepts, normal distribution, sampling distributions, confidence intervals and hypothesis tests, chi-square procedures, linear correlation and regression, and analysis of variance or time series..

MTH1320 Calculus I (4)
Prerequisites:
Math Placement Level 4 or MTH1216 or equivalent with a grade of C or higher
Functions, limits, continuity, rates of change, derivatives and their applications, the mean value theorem, curve sketching, min-max problems, antiderivatives, finite sums and sigma notation, double and triple finite sums, and arithmetic and geometric series and sums are studied. The course also includes sequences and limits of sequences, definite integrals, the fundamental theorem of calculus, and integration by substitution. Intended for students with a strong precalculus background. Satisfies the General Education Mathematics Requirement.

MTH1321 Calculus II (4)
Prerequisite
: MTH1320 or equivalent with a grade of C or higher
Covers applications of definite integrals, areas and volumes, derivatives and integrals of transcendental functions, techniques of integration, and improper integrals. The course also includes more on sequences and limits of sequences, overview of simple, double, and triple finite sums, arithmetic and geometric series, induction method, infinite series, series of functions, power series, and Taylor and Maclaurin series. Satisfies the General Education Mathematics Requirement.

MTH1322 Applied Calculus (4)
Prerequisite
: Math Placement Level 3 or MTH1114 with a grade of C or higher
This course is designed for students in Social or Life Sciences or Business. Covers basic notions of derivative and integral along with standard techniques of differentiation and integration with a focus on application. Satisfies the General Education Mathematics Requirement.

MTH1330 Calculus III (4)
Prerequisite:
MTH1321 or equivalent with a grade of C or higher (PHY1304, PHY1306 recommended)
Covers parameterized curves and polar coordinates; vectors and three-dimensional analytic geometry; cylindrical and spherical coordinates; and topics in functions of two or more variables, including continuity, differentiability, partial derivatives, directional derivatives, gradient vectors, tangent planes, min-max and saddle points, and Lagrange multipliers. Double and triple integrals in various systems of coordinates and substitutions in multiple integrals are included. Satisfies the General Education Mathematics Requirement.

MTH2419 Discrete Mathematics (4)
Prerequisite:
MTH1320 or MTH1322 with a grade of C or higher or permission of instructor (MTH1321 is recommended)
Covers logic and propositional calculus, sets, functions, sequences and summations, complexity of algorithms and big-O notation, methods of proof, matrices, induction, arithmetic and geometric progressions, recursion, program correctness, basic combinatorics, recurrence relations and algorithms, divide-and-conquer, inclusion-exclusion, relations, representing relations, equivalence relations and classes, boolean algebra, introduction to graphs and trees, and tree traversals. Satisfies the General Education Mathematics Requirement, or credit may be applied toward General Education Computational Sciences.

MTH2450 Linear Algebra (4)
Prerequisites
: MTH1321, MTH2419 with grades of C or higher or permission of instructor (MTH1330 is recommended)
Studies linear systems of equations, matrices, determinants, and techniques of inverting matrices. Topics include finite dimensional vector spaces, linear independence, basis and dimension, change of basis, orthonormal bases and the Gram-Schmidt process, linear transformations and matrices, kernel and range, eigenvalues and eigenvectors, diagonalization, and the Jordan canonical form. Applications of Linear Algebra are also studied. Satisfies the General Education Mathematics Requirement, or credit may be applied toward General Education Computational Sciences.

MTH2485 Research/Project in Mathematics/Statistics (4)
Prerequisite:
Permission of instructor
Provides an opportunity for students to produce original research, participate in projects, and/or write a paper under the supervision of an instructor. Topics may be selected from Math/Stat theory or applications in Biology, Finance, Business, Social and Behavioral Sciences, Arts, or another area. May be repeated for credit.

MTH2502 Statistics (3)
Prerequisites
: Math Placement Level 2 or MTH1012 with a grade of B or higher; MTH1114 with a grade of C or higher (Math Placement Level 3 recommended)
Studies descriptive statistics, measures of central tendency and dispersion, probability concepts, normal distribution, sampling distributions, confidence intervals and hypothesis tests, chi-square procedures, correlation and regression, and analysis of variance. Conceptual approach to understanding statistical/mathematical methods and their use in analyzing and interpreting data. For Excel or SPSS based statistical applications enoll concurrently in MTH2502L or MTH2503L. Satisfies the General Education Mathematics Requirement.

MTH2502L Excel for Statistics (1)
Corequisite
: Concurrent enrollment in MTH2502 or instructor's permission
Statistical applications solved with Excel. Topics are compatible with MTH2502 content: descriptive statistics, measures of central tendency and dispersion, probability concepts, normal distribution, sampling distributions, confidence intervals and hypotheses tests, chi-square procedures, correlation and regression, and analysis of variance.

MTH2503L SPSS for Statistics (1)
Corequisite:
Concurrent enrollment in MTH2502 or instructor's permission
Statistical applications solved with SPSS. Topics are compatible with MTH2502 content: descriptive statistics, measures of central tendency and dispersion, probability concepts, normal distribution, sampling distributions, confidence intervals and hypotheses tests, chi-square procedures, correlation and regression, and analysis of variance.

MTH2522 Probability and Statistics (4)
Prerequisite
: MTH1321 with a grade of C or higher or permission of instructor (MTH1330, and/or MTH2419 are recommended)
Uses a calculus-based approach to probability and statistics for natural and computational sciences. Topics include descriptive statistics, probability concepts, counting, independence, conditional probability, Bayes' theorem, random variables, probability distributions, expectation, variance and covariance, univariate and multivariate distributions, joint and conditional distributions, transformations, sampling, central limit theorem, inferences and hypothesis tests, nonparametric tests, correlation, simple and multiple regression, analysis of variance and covariance, quality control, and reliability. Satisfies the General Education Mathematics Requirement, or credit may be applied toward General Education Computational Sciences.

MTH2606 Mathematics for Elementary Teachers I (3)
Prerequisite:
Math Placement Level 3 or MTH1114 with a grade of C or higher
This is the first of two courses designed for future elementary teachers. Students review mathematical topics, deepen their knowledge of the connections between topics, and reflect on how these topics are best taught in the elementary classroom and on how they relate to the strands of the Mathematics Content Standards for California Public Schools. Topics addressed in this course include problem-solving methods, sets, functions and reasoning, numeration systems and operations with numbers, number theory, integers and fractions, decimals, and rational and irrational numbers. Satisfies the General Education Mathematics Requirement, or credit may be applied toward General Education Computational Sciences.

MTH2607 Mathematics for Elementary Teachers II (3)
Prerequisite:
MTH2606
This is the second of two courses designed for future elementary teachers. Students review mathematical topics, deepen their knowledge of the connections between topics, and reflect on how these topics are best taught in the elementary classroom and on how the topics relate to the strands of the Mathematics Content Standards for California Public Schools. Topics addressed in this course include statistics and probability concepts, geometrical figures, measurement, and motions in geometry. Satisfies the General Education Mathematics Requirement, or credit may be applied toward General Education Computational Sciences.

MTH2994 Teaching Assistant (1-3)
Prerequisite:
Permission of the instructor
Provides an opportunity for outstanding Mathematics students to earn credit by assisting instructors.

MTH2999 Independent Study in Mathematics (1-4)
Prerequisite:
Permission of instructor
Provides an opportunity for independent study or research under the direction of an instructor. See Undergraduate Policies and Procedures section on Independent Study.