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Mathematical Sciences

Undergraduate Courses

MTH 0111 - Intermediate Algebra

Basic operations on real numbers, algebraic expressions, linear equations, inequalities, exponents, polynomials, factoring, rational functions, roots, radicals, quadratic equations, and quadratic functions.

3 creditsMTH 0111 generic syllabus - prerequisites:

MTH 1011 - Precalculus A

Includes a review of operations on real numbers, algebraic expressions, linear equations, inequalities, exponents, polynomials, factoring, rational functions, roots, radicals, quadratics, graphing and difference functions.

3 creditsMTH 1011 generic syllabus - prerequisites:

MTH 1012 - Precalculus B

Includes exponential and logarithmic functions including properties and graphs, and trigonometric functions including properties and graphs, and inverses and identities.

3 creditsMTH 1012 generic syllabus - prerequisites:

MTH 1603 - Applied Calculus and Statistics

Includes derivatives and integrals, and their applications, and probability and statistics, and their applications. Credit cannot be applied toward any Florida Tech degree that requires MTH 1001.

3 creditsMTH 1603 generic syllabus - prerequisites:

MTH 1701 - College Algebra

Real-number system; arithmetic operations with polynomials, special products and factoring; linear, fractional and quadratic equations; inequalities, exponents, radicals and absolute values; functions and graphs; and complex numbers, logarithms, logarithmic and exponential functions. Credit can only be applied toward business, communication, humanities, management, psychology or computer information systems degrees at Florida Tech.

3 creditsMTH 1701 generic syllabus - prerequisites:

MTH 1702 - Applied Calculus

Elements of differential and integral calculus with application to business, economics, management and the social and life sciences, as well as maxima, minima, rates, exponential growth and decay, and some techniques of integration.

3 creditsMTH 1702 generic syllabus - prerequisites:

MTH 2201 - Differential Equations/Linear Algebra

Algebraic systems of equations, matrices, determinants, eigenvalues and eigenvectors, first-order differential equations, linear and nonlinear modelling, linear differential equations with constant coefficients, Cauchy-Euler equations, first-order linear systems with constant coefficients, Laplace transform.

4 creditsMTH 2201 generic syllabus - prerequisites:

MTH 2202 - Linear Algebra for Differential Equations

Includes systems of equations, matrices, determinants, eigenvalues and eigenvectors. Supplements differential equations.

1 credit - view generic syllabus - prerequisites: MTH 1002 or instructor approval

MTH 2401 - Probability and Statistics

Random variables, expectations, sampling and estimation of parameters, normal and other distributions and central-limit theorem, tests of hypothesis, linear regression and design experiments.

3 creditsMTH 2401 generic syllabus - prerequisites:

MTH 4311 - Numerical Analysis

Introduces numerical methods for solving equations in one variable, polynomial approximation, interpolation, numerical differentiation and integration, initial-value problems for ODE and direct methods for solving linear systems.

3 creditsMTH 4311 generic syllabus - prerequisites:

Graduate Courses

MTH 5051 - Applied Discrete Mathematics

Logic fundamentals, induction, recursion, combinatorial mathematics, discrete probability, graph theory fundamentals, trees, connectivity and traversability. Applications from several fields of science and engineering, including computer science, operations research, and computer and electrical engineering.

3 creditsMTH 5051 generic syllabus - prerequisites: MTH 2051

MTH 5301 - Numerical Analysis

Includes Gaussian elimination and solution of linear systems of equations, root finding methods, systems of nonlinear equations, interpolation, numerical integration, initial value problems for ODEs and fast Fourier transform.

3 creditsMTH 5301 generic syllabus - prerequisites: CSE 1502 or CSE 1503 or CSE 2050, MTH 2201

MTH 5425 - Theory Of Stochastic Signals

Covers univariate and multivariate distributions, generating and moment generating functions; autocorrelation, wide-sense, strict-sense stationary, voltage, Poisson, Wiener, random telegraph signal and white noise processes; Dirac delta function, Fourier transform, system response, transfer function and spectral analysis.

3 creditsMTH 5425 generic syllabus - prerequisites: instructor approval