## Mathematics Course Descriptions

**MATH 100 | Elementary Algebra (3 credit hours)**

This course is an introduction to the effective algebra and graphing skills which
can be used to promote academic success in college (as determined by either an individual
student's decision, by ACT score, or by the Computer Placement Test). Units to be
covered include real numbers, linear equations, polynomials, rational expressions,
exponents and radicals and quadratic equations. Each topic is also applied to word
problems. This course earns students institutional credit but does not fulfill General
Studies requirements. Math 100 is open to all students who have not successfully completed
a higher level mathematics class.

**MATH 110 | Elements of Mathematics (3 credit hours)**

This course is designed to give the non-mathematical student the opportunity to use
basic operations, succeed in mathematical modeling and understand deductive and inductive
reasoning. The general concepts covered will include sets, logic, the number system
(natural numbers through the reals), equations, inequalities, problem solving, graphs,
functions, and geometry.**Prerequisite Required: **ACT Math 17 or greater, SAT 530 or greater or Math 100**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 112 | College Algebra (3 credit hours)**

This course is for students who specifically need algebra in certain pre-professional
programs. It covers algebraic principles and processes.**Prerequisite Required: **ACT Math 17 or greater, SAT 530 or greater or Math 100**General Studies Outcome**: Collegiate Skills – Quantitative Reasoning

**MATH 114 | Trigonometry (3 credit hours)**

The course will build from basic knowledge of algebra and geometry toward a solid
understanding of the approach to both doing mathematics and applying mathematics,
specifically, in making connections between branches of mathematics. Topics include:
the unit circle, trigonometric functions (definitions, graphs and inverses), right
triangles, oblique triangles, trigonometric identities, trigonometric equations, the
trigonometric form of complex numbers, vectors, polar coordinates, polar graphs, and
parametric equations.**General Studies Outcome**: Collegiate Skills – Quantitative Reasoning

**MATH 225 | Calculus with Analytic Geometry I (5 credit hours)**

This course includes the study of analytic geometry, functions, rates of change, limits,
continuity, related rates, rules for differentiation, differentiation of trigonometric,
logarithmic, and exponential functions, maxima and minima, higher order derivatives,
techniques of graphing, applications of the derivative, antiderivatives, the define
integral, the Fundamental Theorem of Calculus, and basic integration theory with applications.**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 226 | Calculus with Analytic Geometry II (5 credit hours)**

This course includes the study of further techniques in integration, infinite limits,
improper integrals, in-depth applications of definite integrals, infinite sequences
and series, tests for convergence, as well as an introduction to vectors and the geometry
of space.**Prerequisite Required: **MATH 225**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 230 | Foundations of Mathematical Thought (3 credit hours)**

This course is an introduction to the theoretical aspects of mathematics. Students
will explore axiomatic foundations of sets, functions and logic. Various methods and
styles of proofs will be discussed. Students will learn to write proofs of various
types using proper mathematical style and proper writing style.**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 304 | Modern Geometry (3 credit hours)**

This course covers the modern approach to geometric concepts with emphasis in both
the axiomatic approach to geometry and the use of modern technology to work with geometric
concepts. Topics covered will include finite geometries, geometric transformations,
synthetic geometry, geometric constructions, and non-Euclidean geometries.**Prerequisite Required: **MATH 230**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 306 | Modern Algebra (3 credit hours)**

This course is a study of the various algebraic systems arising in modern mathematical
computations. Emphasis is placed on the axiomatic approach to algebra and the use
of modern technology to work with algebraic concepts. Topics covered will include
sets, mappings and operations, relations, groups, rings, domains, development of the
real number system, and development of the complex number system.**Prerequisite Required: **MATH 230**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 327 | Calculus with Analytic Geometry III (3 credit hours)**

This course includes the study of Parametric equations and polar coordinates, conic
sections, an introduction to vector calculus, and the study of multivariable calculus
including partial derivatives, optimization, and the double and triple integrals with
applications.**Prerequisites Required: **MATH 226**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 328 | Differential Equations (3 credit hours)**

This course will review differentiation and integration. Solutions and methods for
solving first and second order ordinary differential equation will be discussed and
applied.**Prerequisite Required: **MATH 327**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 404 | Mathematical Modeling (3 credit hours)**

This course covers a variety of mathematical topics ranging from graphs and networks
to linear programming. The emphasis of the course is on modeling process used to set
up and solve problems in these topic areas. Strengths and limitations of the mathematical
modeling technique will be discussed. Analysis and critique of traditional word problems
will also be discussed.**Prerequisite Required: **MATH 225**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 418 | Linear Algebra (3 credit hours)**

This course presents systems of linear equations, determinants, vector spaces, inner
product spaces, linear transformations, eigenvalues and eigenvectors with moderate
emphasis on proof. Applications of these concepts are also covered.**Prerequisite Required: **MATH 230**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 420 | Advanced Calculus (3 credit hours)**

This course provides a theoretical foundation for the concepts of elementary calculus.
Topics include real number system, topology of the real line, limits, continuity,
differentiation, integration, convergence and uniform convergence of infinite series,
and improper integrals.**Prerequisites Required: **MATH 226, MATH 230**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 430 | Discrete Structures (3 credit hours)**

A study of some of the mathematical concepts useful to the computer boolean algebra,
logic circuits, vectors, matrices, determinants, graphs, directed graphs, finite machines,
and automata.**Prerequisites Required: **MATH 230**General Studies Outcome**: Collegiate Skills - Quantitative Reasoning

**MATH 490 | Seminar in Mathematical Research (1 credit hour)**

This course consists of a review of current research trends in mathematics. Each student
will review current literature and select and pursue a topic of individual study.
Mathematics faculty will mentor and grade the participants in the course. This course
is to be taken during the student's last year of study at Peru State College. This
course is the capstone course and senior competency for the Mathematics major.**Prerequisite Required: **Seniors Only