- MTH 1151 Elementary Statistics for the Sciences
- MTH 1162 Data Analysis Laboratory
- MTH 1210, Calculus I
- MTH 1220 Calculus II
- MTH 2210 Calculus III
- MTH 2240 Differential Equations
- MTH 2260 Linear Algebra
- MTH 3050 Internship in Mathematics
- MTH 3210 Probability
- MTH 3220 Mathematical Statistics
- MTH 4150 Numerical Methods
- MTH 4170 Modeling and Simulation

** 3 Hours**

*Prerequisites:**Math ACT score greater than or equal to 22, Math SAT score greater than or equal to 520, * *Math RSAT score greater than or equal to 550*, *Belmont Math Placement Test score greater than or equal to 20,* *MTH 1010**,* *MTH 1110**, or* *MTH 1130**.*

The study of statistical procedures widely used in the sciences. Topics include, in addition to those taught in MTH 1150, modeling with probability distributions, multiple regression, analysis of variance, chi-square tests, nonparametric statistics, and bootstrapping. Analysis of data using computer software will relate to the sciences. Special emphasis will be placed on the communication of statistical results from scientific research. Credit is not allowed for this course if the student already has credit for MTH 1150.

**1 Hours**

**Prerequisites:***MTH 1151.*

Students will analyze data from experiments or surveys using statistical techniques. Emphasis will be placed on experimental design, ethics in research, and the use of statistical computer software. Credit is not allowed for this course if the student already has credit for MTH 1160.

**4 Hours**

*Prerequisites: **Math ACT score greater than or equal to 27, Math SAT score greater than or equal to 610, Math RSAT score greater than or equal to 630, Belmont Math Placement Test score greater than or equal to 27, or MTH 1130.*

An introduction to analytical geometry, limits, integration, and differentiation

**4 Hours**

**Prerequisites:***MTH 1210; or MTH 1170 with co-req MTH 1190 *

Further techniques of integration with applications; exponential and logarithmic functions; parametric equations; and sequences and infinite series.

4 Hours

**Prerequisites:***MTH 1220.*

Vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, surface integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem, and, if time permits, second-order differential equations.

**3 Hours**

**Prerequisites:***MTH 1220.*

An introduction to ordinary differential equations. Topics may include equations of order one, linear differential equations, Laplace transforms, variation of parameters, power series solutions, systems of differential equations, and applications.

**3 Hours**

**Prerequisites:***MTH 2210 or (MTH 1220 and MTH 2250).*

Topics include matrices, vectors and vector spaces, and linear transformations.

**0-1 Hours**

** Prerequisites**:

*12 hours of Mathematics Courses.*

Students who are doing mathematical related work can apply to have one semester or summer of such work designated as an internship. The student will be required to convince the instructor that he/she will be working in a mathematics related job and will use principles, practices, and skills learned in mathematics classes in order to enroll. To get credit, the student will submit a paper of reflection on the work and the student’s learning. This reflection paper will be expected to appear in the student’s portfolio required in MTH 4710 Senior Seminar course. This course will be pass/fail and will fulfill the internship category of Experiential Learning of the BELL core.

**3 Hours**

**Prerequisites:***MTH 1220.*

An introduction to the laws of probability, mathematical expectation, probabilistic model building, random variables, and probability distributions.

**3 Hours**

*Prerequisites**: MTH 3210.*

A development of the mathematical basis for measures of central tendency and variation, sampling distributions, statistical inference, hypothesis testing, and decision theory

**3 Hours**

*Prerequisites**: CSC 1120 and MTH 1220.*

A problem-oriented course emphasizing the solution of linear systems and nonlinear equations, curve fitting, interpolation and approximation, error analysis, and numerical integration and differentiation.

**3 Hours**

*Prerequisites**: MTH 1220 and CSC 1110.*

Emphasizes experiences in the development of mathematical models and computer simulations of phenomena which are of interest across a wide variety of disciplines. Models may be based on: difference equations, dynamical systems, statistics, probability, discrete optimization methods, graphs, and differential equations.