|
Mathematics
Courses | Statistics
Courses | Core Courses
|
Mathematics
Courses |
| 100 Calculus with Algebra I |
3 cr. |
| Initial topics
of 111 with
topics from algebra integrated as needed.
Credit is not allowed for both 100/104, 100/111, or
100/115. Example syllabus. |
| 104 Calculus with College Algebra and Trigonometry I |
4 cr. |
| Initial topics
of 115 with
topics from algebra and trigonometry integrated
as needed. Credit is not allowed for both
104/100,
104/111,
or 104/115. Example syllabus. |
| 110 Calculus with Algebra II |
3 cr. |
| Remaining topics
of 111 with
topics from algebra integrated as needed.
Credit is not allowed for both 110/114, 110/111, or 110/115. Prerequisite: ”C” or better in 100.Example syllabus.
|
| 111 Calculus for Non-science Students |
3 cr. |
| Limits, continuity,
differentiation of algebraic, exponential
and logarithmic functions. An introduction
to integration. Credit is not allowed for
both 111/100,
111/110, 111/104, 111/114, or 111/115.
|
| 114 Calculus with College Algebra and Trigonometry II |
4 cr. |
| Remaining topics
of 115 with topics from algebra and trigonometry
integrated as needed. Credit is not allowed
for both 114/110,
114/111,
114/115.
Prerequisite: 104. Example syllabus.
|
| 115 Calculus I |
4 cr. |
| The same topics
as 111 except
trigonometric functions are included. Credit
is not allowed for both 115/100, 115/110, 115/104, 115/114, or
115/111. Example syllabus. |
| 116 Calculus II |
4 cr. |
| Applications
of the definite integral, parametric equations,
polar coordinates, sequences, and series.
Prerequisite: 114 or 115. Example syllabus. |
| 125 Fundamentals of Statistics |
3 cr. |
| Exploratory
data analysis and statistical inference including
graphical summaries of data, sampling distributions,
confidence intervals, and hypothesis testing.
Credit not allowed for both 125/225. Example syllabus.
|
| 135 Discrete Mathematics |
3 cr. |
| Sets, functions,
relations, partial order, methods of propositional
logic, introduction to predicate logic, counting,
recurrence relations, asymptotic analysis,
proof, including induction, introduction to
probability, graphs. Example syllabus. |
| 215 Calculus III |
4 cr. |
| Calculus of
functions of several variables and vector
valued functions. Line and surface integrals.
Prerequisite: 116. Example syllabus.
|
| 220 Proof Writing Seminar |
1 cr. |
|
The purpose of this course is to introduce students to various
mathematical proof techniques including conditional proofs,
biconditional proofs, proofs by contradiction, induction, and double
inclusion. The goal of the course is that the students become more
proficient at proof-writing in order to make more seamless the
transition to higher level mathematics. Prerequisite: Math 116;
Co-requisite: Math 135
|
| 225 Introduction to Biostatistics |
3 cr. |
| Descriptive
statistics, sampling distributions, confidence
intervals, hypothesis testing, non-parametric
methods, chi-square tests, regression and
correlation methods, and analysis of variance.
Credit is not allowed for both 125/225.
Prerequisite: Evidence of college level algebra
skills. Example syllabus. |
| 301 Introduction to Probability and Statistics I |
3 cr. |
| Univariate
and multivariate probability distributions
of discrete and continuous random variables,
mathematical expectation, limit theorems.
Prerequisite: 116. Example syllabus.
|
| 302W Introduction to Probability and Statistics II |
3 cr. |
| A continuation
of 301 including
probability and sampling distributions of
random variables, confidence intervals, and
hypothesis testing. Prerequisite: 301.
|
| 308 Numerical Analysis |
3 cr. |
| Linear systems,
interpolation, functional approximation, numeric
differentiation and integration, and solutions
to non-linear equations. May be counted as
either mathematics or computer science, but
not both. Prerequisites: 116
and COSC 150
or 160.
|
| 310 Linear Algebra |
3 cr. |
| Systems of linear equations, vectors and matrices, matrix operations,
determinants, vector spaces and subspaces, linear transformations, and
eigenvalues and eigenvectors. Prerequisite: 116
|
| 311 Number Theory |
3 cr. |
| Divisibility,
congruences, quadratic residues, Diophantine
equations, and arithmetic functions. Prerequisites:
135 and 215. Example syllabus.
|
| 314 Differential Equations |
3 cr. |
| First-order ordinary differential equations, theory and solutions of
higher order linear ordinary differential equations, the Laplace
transform, numerical solutions of differential equations, applications
to physical sciences and engineering. Prerequisite: 116.
|
| 320 Topics in Mathematics |
3 cr. |
| Elementary
mathematics applied to models in the natural
or environmental sciences. Cannot be counted
toward a major in mathematics. Prerequisite:
115. Example course syllabus,
example component syllabus. |
| 325W Applied Statistics with Regression |
3 cr. |
| One-way, two-way
analysis of variance, Latin squares, methods
of multiple comparisons, analysis of covariance,
balanced and unbalanced designs, linear and
multiple regression. Prerequisite: 225, or 301, or
permission of instructor. |
| 330W Fundamentals of Geometry |
3 cr. |
| Euclidean and
non-Euclidean geometry from both the synthetic
and metric axiomatic approach. Prerequisites:
135 and 215
|
| 335 Biostatistics II |
3 cr. |
|
This course is a continuation of
Math 225 (Introduction to
Biostatistics). Topics include
statistical issues in diagnostic
tests, contingency table analyses,
multiple two-by-two table analyses,
linear and multiple regression,
logistic regression, survival
analysis, and nonparametric
statistical procedures.
Example syllabus.
|
| 340 Problem Solving Seminar |
1 cr. |
|
Solution and discussion of problems from the Putnam Examination and
other sources. Prerequisite: Completion of or concurrent enrollment
in 215 or permission of the instructor.
|
| 345 Survival Analysis |
3 cr. |
|
Descriptive methods for survival data, survival and hazard functions,
proportional and additive hazards models, parameter inference and
regression diagnostics, multivariate analysis. Prerequisite: (225,335)
or (301, 302W)
|
| 350W History of Mathematics |
3 cr. |
|
Multicultural survey of the history
of mathematics from the development
of number systems to the development
of calculus. Contributions of
ancient Greek and western
mathematics are emphasized, but
those of the Egyptian, Babylonian,
Islamic, Hindu, and Chinese cultures
are also discussed.
Prerequisites:
135,
215, and 311.
Example syllabus.
|
| 366 Operations Research |
3 cr. |
| The course will provide an introduction to the background of
operations including example problems and a brief history. An
extensive discussion of the theory and applications of linear
programming will follow. Other topics will include nonlinear
programming, continuous and discrete probability models, dynamic
programming, game theory and transportation and network flow
models. Prerequisite: 116. |
| 402W Abstract Algebra I |
3 cr. |
| An introduction
to algebraic structures: rings, ideals, integral
domains, fields, and groups, as well as homomorphisms
and isomorphisms. Prerequisites: 135,
215, and 310.
Example syllabus. |
| 403W Topology |
3 cr. |
| Topological
spaces, homeomorphisms, connectedness, compactness,
regular and normal spaces, metric spaces,
convergence, and separation axioms. Prerequisites:
402W or
415W. |
| 412W Abstract Algebra II |
3 cr. |
| A deeper examination
of the algebraic structures studied in 402W
including quotient groups and rings, extension
fields, and other selected topics. Prerequisite:
402W. |
| 415W Introduction to Real Analysis I |
3 cr. |
| Functions,
sequences and series, limits,
continuity and uniform
continuity, derivatives. Prerequisites: 135, 215 and 310.
|
| 416W Introduction to Real Analysis II |
3 cr. |
| A continuation
of 415W including integration theory and advanced
topics in analysis. Prerequisite: 415W.
|
| 420 Introduction to Complex Variables |
3 cr. |
| The complex
number plane, analytic functions, integration
of complex functions, sequences and series,
and conformal mappings. Prerequisite: 415W.
|
| 425W Experimental Design |
3 cr. |
| Factorial designs,
fixed and random effects models, nested and
nested-factorial designs, split-plot designs,
response surface designs. Prerequisite: 325W
or permission of instructor. |
| 491-99 Selected
Topics in Mathematics |
1-3 cr. |
|
Statistics
Courses |
| 125 Fundamentals of Statistics |
3 cr. |
| Exploratory
data analysis and statistical inference including
graphical summaries of data, sampling distributions,
confidence intervals, and hypothesis testing.
Credit not allowed for both 125/225. Example syllabus.
|
| 225 Introduction to Biostatistics |
3 cr. |
| Descriptive
statistics, sampling distributions, confidence
intervals, hypothesis testing, non-parametric
methods, chi-square tests, regression and
correlation methods, and analysis of variance.
Credit is not allowed for both 125/225.
Prerequisite: Evidence of college level algebra
skills. Example syllabus. |
| 301 Introduction to Probability and Statistics I |
3 cr. |
| Univariate
and multivariate probability distributions
of discrete and continuous random variables,
mathematical expectation, limit theorems.
Prerequisite: 116. Example syllabus.
|
| 302W Introduction to Probability and Statistics II |
3 cr. |
| A continuation
of 301 including
probability and sampling distributions of
random variables, confidence intervals, and
hypothesis testing. Prerequisite: 301.
|
| 325W Applied Statistics with Regression |
3 cr. |
| One-way, two-way
analysis of variance, Latin squares, methods
of multiple comparisons, analysis of covariance,
balanced and unbalanced designs, linear and
multiple regression. Prerequisite: 225, or 301, or
permission of instructor. |
| 335 Biostatistics II |
3 cr. |
|
This course is a continuation of
Math 225 (Introduction to
Biostatistics). Topics include
statistical issues in diagnostic
tests, contingency table analyses,
multiple two-by-two table analyses,
linear and multiple regression,
logistic regression, survival
analysis, and nonparametric
statistical procedures.
Example syllabus.
|
| 425W Experimental Design |
3 cr. |
| Factorial designs,
fixed and random effects models, nested and
nested-factorial designs, split-plot designs,
response surface designs. Prerequisite: 325W
or permission of instructor. |
|
|
Core
Courses |
| UCOR 111 Problem Solving with Creative Math |
3 cr. |
| Learn the skills
of creative problem solving strategies, logical
reasoning, communication and writing
focused on group interaction with a
supportive environment. Explore
topics in areas such as probability,
statistics, graph theory,
mathematics in the arts, and topics
relevant to everyday life.
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