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B.A. Program In Statistics

The courses taken to satisfy the requirements below will constitute the major program BA in Statistics referred to in the general graduation requirements of the College of Arts and Sciences. The Undergraduate Advisor will recommend electives which are appropriate for the student's interests and goals.

Statistics Requirement (Min. 45 cr. hrs.)

Core Requirements Majors must complete the following five courses (19 cr. hrs.):

Either

MAC 2311 -- Calculus I(4)
MAC 2312 -- Calculus II(4)
MAC 2313 -- Calculus III(4)

MAC 2281 -- Engineering Calculus I (4)
MAC 2282 -- Engineering Calculus II (4)
MAC 2283 -- Engineering Calculus III (4)

Also

COP 4313 -- Symbolic Computations in Mathematics (3)
(to be replaced by COR XXXX Statistical Computing (4))
plus completion of one of the three lab-based science courses: BSC XXXX/ XXXXL (4), CHM XXXX/ XXXXL (4), PHY XXXX/ XXXXL (4).

Required Courses(14 cr. hrs.):

STA 2023 -- Introductory Statistics I (4)
STA 3024 -- Introductory Statistics II (3)
STA 4321 -- Essentials of Statistics (3)
STA 4442 -- Introduction to Probability (3)

Elective Courses Majors must complete four courses from the following electives (min. 12 cr. hrs.):

STA 4222 -- Sample Survey Design (3)
STA 4502 -- Nonparametric Statistical Methods (3)
STA 4504 -- Categorical Data Analysis (3)
STA 4702 -- Multivariate Statistical Methods (3)
STA 4821 -- Stochastic Processes (3)
MAP 2302 -- Differential Equations (3)
MAS 3105 -- Linear Algebra (4)
MAT 4930 -- History of Statistics (3)

Special Notes One or two courses from another department which are of high mathematical content may be taken as electives, with the approval of the Undergraduate Advisor and the Chairman. A general philosophy course is strongly recommended.

Prerequisites (State Mandated Common Prerequisites)
Students wishing to transfer to USF from a Florida Community College should complete the A.A. degree at the community college. Some courses required for the major may also meet General Education Requirements thereby transferring maximum hours to the university.

A student who transfers without an A.A. degree and has fewer than 60 semester hours of acceptable credit must meet the university’s entering freshman requirements including ACT or SAT test scores, GPA, and course requirements. The transfer student should also be aware of the immunization, foreign language, and continuous enrollment policies of the university.

Students should complete the following prerequisite courses listed below at the lower level prior to entering the university. If these courses are not taken at the community college, they must be completed before the degree is granted. Unless stated otherwise, a grade of “C” is the minimum acceptable grade.

COP XXXX Computer Language Course (Pascal, FORTRAN, C, C+, or C++)
MAC X311 Calculus I
MAC X312 Calculus II
MAC X313 Calculus III

MAC 2281 Engineering Calculus I (4)
MAC 2282 Engineering Calculus II (4)
MAC 2283 Engineering Calculus III (4)

Students must also complete one laboratory based science courses, 4 semester hours total, from the respective science majors: Biology, Chemistry, Geology, or Physics.

The programs of the Department of Mathematics are accredited by the Southern Association of Colleges and Schools (SACS).

Courses and Descriptions

Core Requirements

MAC 2311 -- CALCULUS I -6A -QM (4) Limits, derivatives, applications.
MAC 2312 -- CALCULUS II -6A -QM (4)Antiderivatives, the definite integral, applications, series, trigonometric, exponential, and logarithmic functions.
MAC 2313 -- CALCULUS III -6A (4) Integration, polar coordinates, conic sections, vectors, indeterminate forms, and improper integrals.
MAC 2281 -- ENGINEERING CALCULUS I -6A -QM (4) Limits, differentiation, differentials, extrema, indefinite integrals.
MAC 2282 -- ENGINEERING CALCULUS II -6A -QM (4) Techniques of integration for trigonometric, exponential, and logarithmic functions, series, polar coordinates, applications.
MAC 2283 -- ENGINEERING CALCULUS III -6A (4) Functions of several variables, partial derivatives, vector algebra, applications.
COP 4313 -- SYMBOLIC COMPUTATIONS IN MATHEMATICS -6A (3)Students will write programs to solve problems in various areas of mathematics, including calculus and linear algebra, with symbolic programming systems such as Maple or Mathematica.

Required Courses

STA 2023 -- INTRODUCTORY STATISTICS I -6A -QM (4) Descriptive statistics, basic probability principles, discrete and continuous probability distributions: binomial, normal, t, and chi-square; point estimation, confidence limits and hypothesis testing. Emphasis on applications to social sciences, life sciences, physical sciences, engineering, and business.
STA 3024 -- INTRODUCTORY STATISTICS II -6A (3) Factorials, ANDOV; multiple curvilinear regression; response surfaces; Latin squares, Split Plots, incomplete designs; distribution free methods.
STA 4321 -- ESSENTIALS OF STATISTICS -6A (3) Basic statistical methods. Estimation, hypothesis testing, regression, ANOVA, and nonparametric theory and methods.
STA 4442 -- INTRODUCTION TO PROBABILITY -6A (3)Introduction to probability theory using calculus. Basic ideas of probability and random variables, discrete probability functions, continuous probability densities, joint distributions, transformations of random variables, moments and generating functions of random variables, and limit theorems.

Elective Courses

MAP 2302 -- DIFFERENTIAL EQUATIONS -6A (3) First-order linear and nonlinear differential equations, higher-order linear equations, applications.
MAS 3105 -- LINEAR ALGEBRA -6A (4)Linear systems, matrix algebra, vector spaces, linear independence, inner product spaces. Gram-Schmidt algorithm, linear transformations and matrix representations, determinants, eigenvalues, diagonalization, quadratic forms.
MAT 4930 -- HISTORY OF STATISTICS (3)– COURSE TO BE CREATED Traces the development of statistical ideas from the Renaissance to the 20th century.
STA 4502 NONPARAMETRIC STATISTICAL METHODS (3) - COURSE TO BE CREATED> Introduction to nonparametric statistics, including one and two sample testing and estimation methods, one and two way layout models and correlation and regression models.
STA 4821 STOCHASTIC PROCESSES (3) - COURSE TO BE CREATED Theoretical development of elementary stochastic processes, including Poisson processes and their generalizations, Markov chains, birth and death processes, branching processes, renewal processes, queuing processes and genetic and ecological processes.
STA 4702 MULTIVARIATE STATISTICAL METHODS(3) - COURSE TO BE CREATED Review of matrix theory, univariate normal, t, chi-squared, F and multivariate normal distributions. Inference about multivariate means including Hotelling's T squared, multivariate analysis of variance, multivariate regression and multivariate repeated measures. Inference about covariance structure including principal components, factor analysis and canonical correlation. Multivariate classification techniques including discriminant and cluster analyses. Additional topics at the discretion of the instructor, time permitting.
STA 4222 SAMPLE SURVEY DESIGN (3) - COURSE TO BE CREATEDAn introduction to the design of sample surveys and the analysis of survey data, the course emphasizes practical applications of survey methodology. Topics include sources of errors in surveys, questionnaire construction, simple random, stratified, systematic and cluster sampling, ratio and regression estimation, and a selection of special topics such as applications to quality control and environmental science.
STA 4504 CATEGORICAL DATA ANALYSIS (3) - COURSE TO BE CREATED Description and inference using proportions and odds ratios, multi-way contingency tables, logistic regression and other generalized linear models, loglinear models, applications.