### MATHEMATICS COURSES

##### CORE COURSES:

Take the following courses:

#### MA-130 Calculus I

An introduction to calculus including differentiation and integration of elementary functions of a single variable, limits, tangents, rates of change, maxima and minima, area, volume, and other applications. Integrates the use of computer algebra systems, and graphical, algebraic and numerical thinking.

4 CreditsN, QM

#### MA-230 Calculus II

Expands the treatment of two-space using polar and parametric equations. Emphasizes multivariable calculus, including vectors in three dimensions, curves and surfaces in space, functions of several variables, partial differentiation, multiple integration, and applications.

4 CreditsN, QMPrerequisite: MA130

#### MA-235 Calculus III

A continuation of the calculus sequence. Topics include methods of integration by Simpson's Rule, applications, Taylor and Fourier series; introduction to ordinary differential equations; integration in polar, cylindrical, and spherical coordinates; differential and integral vector calculus.

4 CreditsN, QMPrerequisites: MA230.

#### MA-160 Linear Algebra

An introduction to systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and applications.

3 CreditsN, QMPrerequisites: MA130.

##### STATISTICS CORE:

Take one of the following courses:

#### MA-205 Elementary Statistics

Introduction to traditional statistical concepts including descriptive statistics, binomial and normal probability models, confidence intervals, tests of hypotheses, linear correlation and regression, two-way contingency tables, and one-way analysis of variance.

4 CreditsN, QS, WK-SPPrerequisite: FYC-101 or EN-110 or EN-109

#### MA-220 Introduction to Probability & Statistics

An introduction to the basic ideas and techniques of probability theory and to selected topics in statistics, such as sampling theory, confidence intervals, and linear regression.

4 CreditsN, QS, CTGESPrerequisite: MA130

This course covers basic descriptive and inferential statistics, normal curve and z-score computations, and addresses hypothesis testing using Chi-Square, T-Test, ANOVA, and linear regression modelling.

3 Credits QS,S

#### PY-361 Research Methods & Stats Psychology II

This course focuses on becoming a better research producer and a research consumer from a psychological science perspective. Students will learn to think critically about media claims and accurately summarize primary source articles about behavior. Students will learn to use statistical software to accurately describe data. Students will learn to communicate effectively about research through written and oral work and make ethical judgments informed by APA ethical standards. Students will design and execute their own individual research studies.

4 CreditsS, CW, QS

#### SW-215  Integrated Research Methods & Stats II

The second part of an integrated course sequence applying the scientific process to the fields of Social Work and Sociology, emphasizing key research concepts, commonly used quantitative and qualitative methods, and the ability to communicate effectively about research with written and verbal skills. The course teaches students not only to conduct research but also to consume and utilize research.

3 CreditsS

#### BI-305 Biostatistics

This course deals centrally with quantitative and statistical methodology in the biological sciences. It includes experimental design and the conventions of generating, analyzing, interpreting and presenting biological data. Counts as a math course for graduate and professional school requirements.

4 CreditsN, QS, CTGESPrerequisites: BI106 or ESS100

#### ESS-230 Environmetrics

This course is a survey of the various visual, statistical, and modeling approaches commonly used in the analysis of environmental data. The course covers: (1) visual literacy from exploratory data inquisition to poster creation; (2) elementary group comparison such as t-test and ANOVA and their non-parametric analogs;(3) basic systems modeling; and (4) regression modeling techniques based on the generalized linear model framework.

3 CreditsN, QS, CTGES, CTGISPrerequisites: Sophomore standing and permission of the instructor.

#### ESS-309 Econometrics

A first course in econometrics with forays into regression, optimization, and modeling.

2 CreditsN, QPrerequisites: Introductory economics course.

Complete one of the following options below:

#### MA-210 Foundations of Mathematics

An introduction to the logical and set-theoretic basis of modern mathematics. Topics covered include propositional and predicate logic; induction; naive and axiomatic set theory, binary relations, mappings, infinite sets and cardinality; finite sets and combinatorics; and an introduction to the theory of computability. Students will learn to read and to express mathematical ideas in the set-theoretic idiom.

3 CreditsCWPrerequisites: MA160 or MA116 or PL208 or MA208 or permission of the instructor.

(AND)

Take one 300 or 400 level Mathematics course (except MA-480 and MA-355)

##### OPTION 2:

Take two 300 or 400 level Mathematics courses (except MA-480 and MA-355)

#### Secondary Emphasis Credit Total = 25-26

Any course exception must be approved by the advisor and/or department chair.

To claim a solid foundation in mathematics, a student should be acquainted with an appropriate variety of techniques and applications areas. This certainly includes a good background in calculus, and an exposure to matrices, probability, statistics, and discrete mathematics. In addition, one should pursue a more in-depth understanding of at least one area of mathematics and also deal more explicitly with the theoretical nature of the subject.