Course Descriptions:

MATHEMATICS CORE REQUIREMENTS WITH PROGRAM PREREQUISITE
STAT 210 | Statistics (3 credit hours)
A study of the methods of summarizing and interpreting data, elementary probability, and its relation to distributions. The meanings, importance, and application of the normal and binomial distributions and the methods of random sampling, testing of hypotheses, analysis of paired data, and interpretation of standardized test scores are covered. Students work on independent research projects to gain first- hand experience with the issues of the course.
Components: Lecture
Attributes: Collegiate Skills – Quantitative Reasoning

MATH 225 | Calculus with Analytic Geometry I (5 credit hours)
This course includes the study of analytic geometry, functions, limits, continuity, related rates, differentiation, maxima and minima, higher order derivatives, techniques of graphing, and basic integration theory with application.
Components:
Lecture
Attributes:
Collegiate Skills – Quantitative Reasoning
Requirement Group:
Prerequisite required: MATH 114

MATH 226 | Calculus with Analytic Geometry II (5 credit hours)
This course includes the study of the differentiation of logarithmic and exponential functions, antiderivatives and the definite integral, integration, inverses and related topics.
Components:
Lecture
Requirement Group:
Prerequisite required: MATH 225

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.
Components:
Lecture

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.
Components:
Lecture
Requirement Group:
Prerequisite required: MATH 230

MATH 327 | Calculus with Analytic Geometry III (3 credit hours)
This course includes the study of further techniques in integration, infinite limits, improper integrals, polar equations, an introduction to vector calculus, and an introduction to multivariable calculus.
Components:
Lecture
Requirement Group:
Prerequisites required: MATH 225, MATH 226

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.
Components:
Lecture
Requirement Group:
Prerequisite required: MATH 230

MATH 490 | Seminar in Mathematical Research (1 credit hours)
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.
Components:
Lecture
Requirement Group:
For Seniors Only

ADDITIONAL PROGRAM REQUIREMENTS
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.
Components:
Lecture
Requirement Group:
Prerequisite required: MATH 327

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.
Components:
Lecture
Requirement Group:
Prerequisites required: MATH 226 and MATH 230

STAT 440 | Advanced Statistics (3 credit hours)
This course covers calculus based probability and statistics with applications. It continues the study of methods of summarizing and interpreting data, with special emphasis on non-normally distributed statistics. Topics will include discrete, continuous, multivariate and sampling distributions; moment generating functions; confidence intervals; and hypothesis testing.
Components:
Lecture
Requirement Group:
Prerequisites required: STAT 210 (or MATH 340), and MATH 225

SCIENCE SEQUENCE
Choose one (1) course sequence from the following

CHEM 101 | General Chemistry I (4 credit hours)
An introduction to the fundamentals of chemistry. Such topics as atomic theory, chemical bonding, stoichiometry, solutions, and pH are covered. Both lecture and laboratory are required for this course.
Components:
Lecture/Lab Combined
Attributes: Methods of Inquiry & Explanatory Schema – Natural Science

AND

CHEM 102 | General Chemistry II (4 credit hours)
This course is an application of the fundamentals of chemistry, including states of matter, oxidation-reduction, thermochemistry, chemical equilibrium, kinetics, nuclear chemistry, and descriptive chemistry. Both lecture and laboratory are required for this course.
Components:
Lecture/Lab Combined
Attributes:
Methods of Inquiry & Explanatory Schema – Natural Science
Requirement Group:
Prerequisite required: CHEM 101

OR

PHYS 201 | General Physics I (5 credit hours)
The topics of mechanics, sound and heat are included in this mathematically-based physics course. This class includes required lectures, recitation and laboratory components.
Components: Lecture/Lab Combined
Attributes: Methods of Inquiry & Explanatory Schema – Natural Science
Requirement Group: Prerequisite required: MATH 113

AND

PHYS 202 | General Physics II (5 credit hours)
The topics of light, electricity and magnetism are included in this mathematically-based physics class. This class includes required lectures, recitation and laboratory components.
Components: Lecture/Lab Combined
Attributes:
Methods of Inquiry & Explanatory Schema – Natural Science
Requirement Group:
Prerequisite required: PHYS 201

MATHEMATICS ELECTIVES
Select nine (9) hours (at least three (3) courses) from the following

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.
Components: Lecture
Requirement Group:
Prerequisite required: MATH 230

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.
Components:
Lecture
Requirement Group:
Prerequisite required: MATH 225

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.
Components:
Lecture
Requirement Group:
Prerequisites required: MATH 230 and MATH 113, or MATH
120

Independent Study and/or Special topics in Mathematics may be applied toward the major with the consent of the Dean of the School.