# Mathematics - UG (MATH)

*Consult your Asia Campus Advisor before taking any course that is not part of your degree requirements.*

### Courses

**MATH 100 Foundations in Mathematical Problem Solving 3 Credits (3,0) **

The purpose of this course is to equip students with fundamental mathematical reasoning skills that can be used for success in future mathematics courses. Students will engage with algebra fundamentals in problem-based activities designed to prepare students for either MATH 106, MATH 111, or MATH 140. This course cannot be used to satisfy credit for General Education requirements.

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

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. Introduction to the basic elements of trigonometry.**Prerequisites:** MATH 100

**MATH 111 Pre-calculus for Aviation 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. Pre-Requisite: Qualifying score on the ERAU Mathematics Skills Assessment or course listed.**Prerequisites:** MATH 106

**MATH 112 Applied Calculus for Aviation 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) **

Focuses on fundamentals of exponents, radicals, linear and quadratic equations, inequalities, functions, graphing techniques, and complex numbers; 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.**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 201 Learning to Reason: Art and Quotient 3 Credits (3,0) **

Addresses both the abstract and applied aspects of data science, proportionality, and geometric concepts. Exploration of the development of mathematics and the modern technologies used to apply ancient ideas to today's problems as well as the human need for creativity across disciplinary boundaries.**Prerequisites:** MATH 106

**MATH 202 Learning to Reason: Commerce and Flux 3 Credits (3,0) **

A quantitative approach to life's decisions, addressing both the abstract and applied aspects of using mathematics in finance, technology, and design. Exploration of the development of mathematics and the technologies used to assist in decision-making.**Prerequisites:** MATH 106

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

Limits and continuity; differentiation and integration of algebraic and elementary transcendental functions; applications of first and second derivatives and integration.

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

Differentiation and integration of transcendental functions; special integration techniques; applications of the definite integral; numerical methods; infinite series.**Prerequisites:** MATH 241

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

Solid analytic geometry; vector functions in three dimensions; partial differentiation; directional derivative and gradient; line integrals; multiple integrals.

**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 principal 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 243