# Mathematics (MATH)

*Review the ERAU Worldwide Mathematics placement policy under the Skills Assessments section of the Worldwide Catalog.*

### Courses

**MATH 106 Basic Algebra & Trigonometry 3 Credits (3,0) **

The course includes a study of the basic laws of numbers, fractions, exponents, complex numbers, and radicals, as well as an understanding of a variety of expressions and equations including; equalities, inequalities, polynomials, and quadratics. The elements of trigonometry will also be reviewed. Prerequisite: Qualifying score on the ERAU Mathematics Skills Assessment or course listed.**Prerequisites:** GNED 103.

**MATH 111 College Mathematics for Aviation I 3 Credits (3,0) **

This is a pre-calculus course designed for the student aviation. Topics include a review of the fundamentals of algebra; linear equations and inequalities, quadratic equations; variation; polynomial, rational, exponential, logarithmic and trigonometric functions; radian measures; right triangle solutions, vectors and the laws of sines and cosines. Prerequisite: Qualifying score on the ERAU Mathematics Skills Assessment or course listed.**Prerequisites:** MATH 106.

**MATH 112 College Mathematics for Aviation II 3 Credits (3,0) **

This course presents basic calculus, designed for the student of aviation. Topics include differentiation and integration of algebraic functions; applications to velocity, acceleration, area, curve sketching, and computation of extreme values.**Prerequisites:** MATH 111 or MATH 140 or qualifying score on the mathematics skills assessment.

**MATH 140 College Algebra 3 Credits (3,0) **

This course focuses on fundamentals of exponents, radicals, linear and quadratic equations, inequalities, functions, graphing techniques, and complex numbers. It includes an introduction to function, curve sketching, elementary theory of equations, sequences and series, matrix algebra and systems of equations, linear, polynomial, logarithmic, exponential, inverse and composite functions, variation, and systems of equations. Prerequisite: Qualifying score on the ERAU Mathematics Skills Assessment or course listed.**Prerequisites:** MATH 106.

**MATH 142 Trigonometry 3 Credits (3,0) **

Students will be introduced to trigonometric functions and their graphs; identities; radian measure with applications; compound, half and double angle identities; solving elementary trigonometric equations, right and oblique triangles, law of sines and cosines; inverse trigonometric functions; vectors and trigonometric form of a complex number.**Prerequisites:** MATH 111 or MATH 140 or qualifying score on the mathematics skills assessment.

**MATH 143 Precalculus Essentials 3 Credits (3,0) **

This is a precalculus course with an emphasis on functions and their graphs, including polynomial, rational, exponential, logarithmic, and trigonometric; radian measure; trigonometric identities and equations; vectors, parametric and polar curves; sequences and series; binomial theorem. NOTE: This course is open only to Engineering degree students.**Prerequisites:** MATH 106 or MATH 111 or MATH 140 or qualifying score on the mathematics skills assessment.

**MATH 211 Statistics with Aviation Applications 3 Credits (3,0) **

This course is a study of basic descriptive and inferential statistics. Topics include types of data, sampling techniques, measures of central tendency and dispersion, elementary probability, discrete and continuous probability distributions, sampling distributions, hypothesis testing, confidence intervals, and simple linear regression.**Prerequisites:** MATH 111 or MATH 140 or MATH 143 or MATH 241 or MATH 250.

**MATH 222 Business Statistics 3 Credits (3,0) **

This course is a study of basic descriptive and inferential statistics. Topics include types of data, sampling techniques, measures of central tendency and dispersion, elementary probability, discrete and continuous probability distributions, sampling distributions, hypothesis testing, confidence intervals, and simple linear regression.**Prerequisites:** MATH 111 or MATH 140 or MATH 143 or MATH 241 or MATH 250.

**MATH 241 Calculus and Analytic Geometry I 4 Credits (4,0) **

This course is a study of graphs and functions; limits and continuity; differentiation and integration of algebraic and elementary trigonometric functions; applications of first and second derivatives.**Prerequisites:** MATH 142 or MATH 143 or qualifying score on the mathematics skills assesment.

**MATH 242 Calculus and Analytic Geometry II 4 Credits (4,0) **

This course is a study of differentiation and integration of transcendental functions; special integration techniques; polar coordinates; applications of the definite integral; numerical methods.**Prerequisites:** MATH 241.

**MATH 243 Calculus and Analytic Geometry III 4 Credits (4,0) **

This course is a study of solid analytic geometry; vector functions in three dimensions; elements of infinite series; partial differentiation; directional derivative and gradient; multiple integrals.**Prerequisites:** MATH 242.

**MATH 250 Calculus and Analytic Geometry I 3 Credits (3,0) **

Introduction to graphs and functions; limits and continuity; differentiation of algebraic and elementary trigonometric functions; parametric equations; differentials and their applications; applications of first and second derivatives.**Prerequisites:** MATH 142 or MATH 143 or qualifying score on the mathematics skills assessment.

**MATH 251 Calculus and Analytic Geometry II 3 Credits (3,0) **

Integration of algebraic and elementary trigonometric functions; application of integrals to the calculation of area, volume and curve length and to selected physical problems; differentiation and integration of transcendental functions and inverse functions.**Prerequisites:** MATH 250.

**MATH 252 Calculus and Analytic Geometry III 3 Credits (3,0) **

Techniques of integration; polar coordinates; applications of the definite integral; indeterminate forms and improper integrals; numerical methods of integration; parametric equations; vectors and calculus of vector valued functions.**Prerequisites:** MATH 251.

**MATH 253 Calculus and Analytic Geometry IV 3 Credits (3,0) **

Solid analytical geometry; vector functions in three dimensions; elements of infinite series; partial differentiation; directional derivative and gradient; multiple integrals; geometric and Taylor series.**Prerequisites:** MATH 252.

**MATH 320 Decision Mathematics 3 Credits (3,0) **

This course is a study of mathematical concepts and applications in mathematical model building and problem solving. Included are mathematical areas which are basic to decision theory.**Prerequisites:** MATH 211 or MATH 222.

**MATH 345 Differential Equations and Matrix Methods 4 Credits (4,0) **

This course is a study of the treatment of ordinary differential equations to include principle types of first and second order equations; methods of substitution on simple higher order equations; linear equations and systems of linear equations with constant coefficients; methods of undetermined coefficients and variation of parameters; Laplace transforms; series solutions; linear algebra and matrix methods of solutions; applications to physics and engineering.**Prerequisites:** MATH 253 or MATH 243.

**MATH 412 Probability and Statistics 3 Credits (3,0) **

Finite sample spaces; conditional probability and Bayes' Theorem; discrete and continuous random variables and their functions; expected value, variance and standard deviation; systematic study of the major discrete and continuous distributions; moment generating functions; hypothesis testing and estimation.**Prerequisites:** MATH 243 or MATH 253.