View source for Starfleet Academy Division of Arts & Sciences/Mathematics

{{Academy-Science}}
===Mathematics Department===
The study and analysis of numbers, equations, and theorums.

Courses highlighted in '''<span style="color:green">bold green</span>''' are [[Academy Core Courses]].

* '''<span style="color:green">MATH101: Concepts</span>
** Introduction to mathematical systems, including Algebra, Geometry, Trigonometry, and Pre-Calculus. Discusses modern applications of these systems, additionally. 
* '''MATH110: Functions and Models'''
** Study of algebraic, trigonometric, exponential and logarithmic functions within the context of mathematical modeling. 
* '''MATH120: Calculus, Advanced'''
** Study of limits, differentiation, and integration of functions of one variable. 
* '''MATH200: Discrete'''
** An introduction to the discrete paradigm in mathematics and computer science. Topics included are induction, recursion, algorithmic problem-solving, graph theory, number theory, and counting techniques. 
* '''MATH210: Advanced Mathematical Modeling with Emphasis in Biology'''
** An introduction to modeling using both continuous ODE and discrete methods, with emphasis on constructing mathematical models to describe qualitative behavior of dynamical biological systems (Prerequisite of MATH110 may be waived with instructor's consent)
* '''MATH211: Advanced Mathematical Modeling with Emphasis in Geology'''
** An introduction to modeling using both continuous ODE and discrete methods, with emphasis on constructing mathematical models to describe qualitative behavior of dynamical geological systems (Prerequisite of MATH110 may be waived with instructor's consent)
* '''MATH250: Differential'''
** Study of ordinary differential equations and systems of equations, through the use of analytic, qualitative/ geometric, and numerical techniques. Applications from physics, biology, chemistry, engineering, economics, and psychology will be presented. 
* '''MATH270: Linear Algebra'''
** Solving linear systems, matrix algebra, vector spaces and linear transformations, eigenvectors, orthogonality. 
* '''MATH300: Combinatorics'''
** Continues the ideas of counting, graph theory, and algorithms from Mathematics 200. Topics may include Ramsey Theory, designs, coding theory, generating functions, and optimization. Offered in alternate years. 
* '''MATH320: Analysis'''
** A rigorous study of the structure of the real line and the properties of real-valued functions. Topics include sequences, limits, continuity, differentiabililty, and integrability. 
* '''MATH330: Probability and Statistics'''
** Theory of probability and mathematical statistics including an introduction to descriptive statistics and exploratory data analysis, basic concepts of probability theory, discrete and continuous random variables, special distributions, moment-generating functions, multivariate distributions, sampling distribution theory, and the Central Limit Theorem.
* '''MATH331: Advanced Statistical Methods with Emphasis in Biology'''
**Introduction to statistical inference. Emphasis on constructing statistics for specific problems in biology. Topics include probability, distributions, sampling, replication, and experimental design. (Prerequisite of MATH330 may be waived with instructor's consent)
* '''MATH332: Advanced Statistical Methods with Emphasis in Geology'''
**Introduction to statistical inference. Emphasis on constructing statistics for specific problems in geology. Topics include probability, distributions, sampling, replication, and experimental design. (Prerequisite of MATH330 may be waived with instructor's consent)
* '''MATH400: Solipsistic Mathematics'''
** A survey of recent advances in solipsistic mathematics and their applications to new understandings of quantum theory.  Emphasis is placed upon matter replication and transporter mechanisms.
* '''MATH440: Topology'''
** A rigourous study of topology and conceptions of N-dimensional space.


{{Academydepts}}
[[Category:StarFleet Academy Curriculum]]