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Course Descriptions

  • MATH 111: College Algebra I

    A study of algebraic methods; the natural numbers, the integers, the rationals, and the real numbers; algebraic expressions including polynomials, rational expressions, exponents and radicals, equations and inequalities; and function theory including domain, range, composition, inverses, and graphing techniques. Offered fall term each year. Three semester hours.

  • MATH 153: Fundamental Concepts I

    A study of the real number system and its field properties. As tools for the development of these topics, a study is made of set theory and various numeration systems. Attention is given to problem solving; sets, whole numbers, and numeration; whole number operations and properties; whole number computation; number theory; fractions and decimals; ratio, proportion, and percent. Strategies for explaining these topics will be introduced. Prerequisite: 2 years of high school algebra or MATH 090. Not applicable to a math major or minor. Offered spring term each year. Three semester hours.

  • MATH 171: Advanced Algebra and Trigonometry

    An in-depth study of functions of one variable; in particular polynomials, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Application of these types of functions will be emphasized. Also included is an in-depth presentation of trigonometry; in particular the unit circle, graphs, identities, solving equations, solving triangles, and polar coordinates. Not applicable to a math major or minor. Prerequisite: High school algebra or equivalent. Offered spring term each year. Three semester hours.

  • MATH 211: Calculus I

    An in-depth study on limits, derivatives, and integrals including their definition, calculation, and application. Prerequisite: C- or better in MATH 171 or satisfactory performance on Calculus placement exam. Offered fall term each year. Four semester hours.

  • MATH 212: Calculus II

    A study of transcendental functions, their differentiation and integration, formal integration, the conics, Taylor’s formula, and infinite series. Prerequisite: C- or better in MATH 211. Offered spring term each year. Four semester hours.

  • MATH 213: Statistics

    A study of data analysis and statistical inference. Topics include descriptive statistics, an introduction to probability, continuous and discrete random variables, probability distributions, confidence intervals, hypothesis testing, and linear regression and correlation. Prerequisite: High school algebra or equivalent. Offered every semester. Three semester hours.

  • MATH 213B: Business Statistics

    A study of data analysis and statistical inference as well as various statistical methods applied to topics in business administration. Concentration is placed upon the use of statistical inference to reduce the impact of limited information from which business people must draw conclusions and make decisions. Topics include descriptive statistical measures, probability, random samples, skewness, random variables, analysis of variance, correlation, and regression. Twelve certifications in statistical exercises and a group project assist students in achieving course objectives. Offered Term Two. Three semester hours.

  • MATH 213M: Statistics

    A study of data analysis and statistical inference. Topics include descriptive statistics, an introduction to probability, continuous and discrete random variables, probability distributions, basic sampling techniques, confidence intervals, hypothesis testing with small and large samples, linear regression and correlation, and an introduction to the analysis of variance. Prerequisite: High school algebra or equivalent. Offered spring and summer semesters. Three semester hours.

  • MATH 253: Fundamental Concepts II

    A continuation of the study of the real number system. Topics include rational and real numbers; statistics; probability; measurement; geometry; and algebra. Strategies for explaining the topics and a variety of presentation methods will be explored. Prerequisite: A grade of C or better in MATH 153. Not applicable to a math major or minor. Offered fall term each year. Three semester hours.

  • MATH 253B: Fundamental Concepts II

    A continuation of the study of the real number system. Topics include rational and real numbers; statistics; probability; measurement; geometry; and algebra. Strategies for explaining the topics and a variety of presentation methods will be explored. Prerequisite: A grade of C or better in MATH 153. Not applicable to a math major or minor. Offered fall term each year. Three semester hours.

  • MATH 290: Independent Study

    Individual study to enable the student either to study material not in the curriculum or to facilitate an individualized approach in a field not now covered in a single course. Not open to freshmen. One to three semester hours.

  • MATH 301: An Introduction to Mathematical Logic

    A study of propositional logic in abstract mathematics and an introduction to the basic structures of modern mathematics including set theory, cardinality, induction, relations, and functions, with particular concentration on the reading and writing of proofs. Prerequisite: C- or better MATH 212 . Offered spring term each year. Three semester hours.

  • MATH 302: Discrete Mathematics

    A study of discrete mathematical structures such as sets, permutations, relations, graphs, and finite state machines as well as a variety of mathematics used to study these structures including recursion, induction, counting, algorithms, and finite calculus (difference equations). This course is especially recommended for those whose major or minor is either computer information systems or computer science. Offered spring term each year. Three semester hours.

  • MATH 303: Multivariable Calculus

    A study of three dimensional analytic geometry, curves, calculus of functions of several variables, line integrals, and differential equations. Prerequisite: C- or better in MATH 212. Offered fall term each year. Four semester hours.

  • MATH 304: Modern Geometry

    A study of axiomatic systems, logic, and Euclidean and non-Euclidean geometries from an historical viewpoint. Euclidean incidence, betweenness, congruence, and separation are studied along with models for non-Euclidean geometries and their impact on mathematical thought. Prerequisite: C- or better in MATH 301. Offered fall term even years. Three semester hours.

  • MATH 307: Linear Algebra

    A study of vector spaces, matrices and linear systems, determinants, inner products, and linear transformations. Prerequisite: C- or better in MATH 212. Offered fall term each year. Three semester hours.

  • MATH 308: Modern Algebra

    A study of algebraic structures such as rings, fields, groups, and integral domains. Prerequisite: C- or better in MATH 301. Offered spring term odd years. Three semester hours.

  • MATH 309: Differential Equations

    A study of the differential equations, their meaning, types of solutions, and uses. Recommended for math majors and minors interested in chemistry and applied math. Prerequisite: C- or better in MATH 303. Completion of MATH 307 with a C- or better is recommended. Offered spring term each year. Three semester hours.

  • MATH 310: Topology

    A study of open sets, closed sets, functions, continuity, compactness, connectedness, product spaces, and homeomorphism. Prerequisite: C- or better in MATH 301. Offered fall term as needed. Three semester hours.

  • MATH 314: Probability and Statistics I

    A study of probability distributions, and inferential as well as descriptive statistics. Topics such as frequency tables, measures of central tendency and dispersion, confidence intervals, and tests of hypothesis are included. Prerequisite: C- or better in MATH 303. Offered fall term as needed. Three semester hours.

  • MATH 315: Probability and Statistics II

    A continuation of MATH 314 which includes an introduction to decision theory, estimation, and hypothesis testing, as well as a discussion of ANOVA, non-parametric methods, and other tests. In addition, the course includes an introduction to computer based statistical packages. Prerequisite: C- or better in MATH 314. Offered spring term as needed. Three semester hours.

  • MATH 351: Mathematical Modeling

    A survey of the construction and development of mathematical models used in science and industry. The mathematics developed contributes to an understanding of the model as well as the associated scientific problem that is approximate. Prerequisites: C- or better in MATH 307 and 309. Offered spring term even years. Three semester hours.

  • MATH 408: Numerical Analysis

    A study which enables one to write mathematical processes such as integration, differentiation, matrix inversion, and estimation of roots, with arithmetic operations. Study includes orientation toward machine computation. Prerequisites: C- or better in MATH 307, 309, and CS 211. Offered fall term odd years. Three semester hours.

  • MATH 411: Introduction to Real Analysis

    A study of the algebraic and topological properties of the real numbers, functions of a real variable, continuity, differentiation, convergency of sequences of functions, Lebesque measure and integration, Riemann-Stieltjes integration, and general measures. Prerequisites: C- or better in MATH 301 and 303. Offered fall term even years. Three semester hours.

  • MATH 412: Introduction to Complex Analysis

    An expansion of calculus into the complex numbers. An introduction into complex integration, path integrals, the Cauchy Integral formula, Morera’s theorem, Liouville’s theorem, calculus of residues, conformal mapping, Taylor and Laurent Series expansions, applications. Prerequisite: C- or better in MATH 301 and 303. Offered spring term as needed. Three semester hours.

  • MATH 490: Independent Study

    Individual work in mathematics under the direct supervision of an instructor. Prerequisite: twenty-four hours of mathematics and consent of the instructor. Offered as needed. One to three semester hours.

  • MATH 495: Seminar

    A seminar designed to promote in-depth discussion, independent research, and writing in areas not included in the regular course offerings. Topics considered vary from semester to semester. Prerequisite: C- or better in MATH 301. Offered fall term odd years. Three semester hours.

  • MATH 499A: Mentored Research

    A faculty-mentored research course in which students craft a research proposal, prepare a literature review, and outline the methods by which they plan to conduct research. Offered every semester as needed. One semester hour.

  • MATH 499B: Mentored Research

    A faculty-mentored research course in which students complete their research in a manner consistent with practices in their discipline and submit a written draft of their findings to their mentor. Offered every semester as needed. One semester hour.

  • MATH 499C: Mentored Research

    A faculty-mentored research course in which students revise their research and present their findings publicly. Offered every semester as needed. One semester hour.

  • MLGN 100: Introduction to College and Service

    An introduction to the skills/attitudes needed to succeed in college. These include an appreciation of oneself, one’s skills and talents, others and their skills and talents, management of resources such as talents, time and money, an awareness of the history and culture of Milligan. Required of all freshmen during the first semester of attendance. Offered eight weeks fall semester. One-half semester hour.

  • MLGN 101H: Introduction to Honors

    A course designed to orient students to the Honors Program and to hone the skills necessary for its successful completion. This course 1) strengthens vital skills in reading, writing, research, and dialogue, 2) provides background information and exercises related to preparing students for the diverse requirements of the Honors Program, 3) develops a strong sense of community among the incoming cohort of Honors students, and 4) encourages the appreciation of a liberal arts education as well as the integration of faith, learning, and service. Offered fall term each year. One semester hour.

  • MLGN 200: Introduction to Calling and Career

    MLGN 200 focuses on building behaviors and skills necessary to discern, identify, explore and prepare for a career related to a student’s calling and choice of academic major. The course includes an introduction to basic career practices such as networking, resume preparation, etiquette training, and job search practices. Attention is given to vocational discernment by means of guest speakers and small group meetings to complement and strengthen the focus on vocation throughout the course. MLGN 200 meets for eight sessions with a required etiquette dinner and graduate school/career fair held outside the scheduled class meeting time. The class is required of all students during their sophomore year. Transfer students below the junior level (58 credit hours) are not exempt unless they transfer in with a comparable credit. Offered every term. One-half semester hour.

  • MLGN 320: Strategies for Graduate School Acceptance

    A Milligan Foundations course designed to assist students in the graduate school application process including graduate school admission’s test preparation, advice on completing the application, identifying and obtaining recommendations, and mock interviews. Prerequisite: MLGN 200. Offered every term. One-half semester hour.

  • MUSC 100: Applied Study – Voice

    Individual instruction in singing. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is voice. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 101: Piano as a Secondary Concentration

    Applied study for non-piano music majors and minors. Preparation toward attainment of proficiency for music majors. Two class meetings and one lab per week. Music 101 offered fall term each year; Music 102 offered spring term each year. Two semester hours.

  • MUSC 102: Piano as a Secondary Concentration

    Applied study for non-piano music majors and minors. Preparation toward attainment of proficiency for music majors. Two class meetings and one lab per week. Music 101 offered fall term each year; Music 102 offered spring term each year. Two semester hours.

  • MUSC 103: Music Colloquium

    An introductory course featuring lectures, discussions, guest speakers, and field trips through which music students will gain an understanding of the different career paths, professional and avocational opportunities, and ministries available for musicians. Offered fall term each year. One semester hour.

  • MUSC 104: Applied Study – Piano

    Individual instruction in piano. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is piano. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 105: Applied Study – Organ

    Individual instruction in organ. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is organ. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 106: Applied Study – Guitar

    Individual instruction in guitar. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is guitar. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 107: Applied Study – Flute

    Individual instruction in flute. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is flute. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 109: Applied Study – Clarinet

    Individual instruction in clarinet. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is clarinet. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 110: Applied Study – Saxophone

    Individual instruction in saxophone. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is saxophone. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 111: Applied Study-Violin

    Individual instruction in violin. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is violin. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 112: Applied Study – Viola

    Individual instruction in viola. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is viola. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 113: Applied Study – Cello

    Individual instruction in cello. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is cello. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 114: Applied Study-Percussion

    Individual instruction in percussion. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is percussion. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 115: Applied Study – Trumpet

    Individual instruction in trumpet. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is trumpet. One-half semester hour (one-half hour lesson per week) for all other students.

  • MUSC 116: Applied Study – Horn

    Individual instruction in French horn. Open to all students. Offered every term. One semester hour (one hour lesson per week) for music majors whose principal area of concentration is French horn. One-half semester hour (one-half hour lesson per week) for all other students.