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Mathematics

Count Yourself In for Our Mathematics Degree Program

The mathematics major focuses on the foundations of problem solving, computation and analytics to give you skills today to transfer into in-demand careers after graduation.

With a bachelor of science in mathematics you can go into new technology, business and teaching and graduate programs with the knowledge gained through your detailed and relevant coursework at Urbana.

Get a Great Mathematics Foundation

With a Mathematics degree program, you have the power to customize your educational experience around your interests. You can use your capstone or independent study courses to focus on complementary areas such as technology or business. Whatever your focus, studying mathematics at Urbana gives you flexibility and a foundation you can build on.

As an Urbana University math major, you can explore independent research, small class sizes, and a community that has great concern in aiding your journey through higher education.

Curriculum & Course Descriptions

120 Semester Hours
Fundamental General Education Core (24 hours)
English Composition (3 hours)

Choose a minimum of 3 semester hours from:

ENG 120 - College Writing (4)
In this course, students acquire the writing competence necessary for conducting and presenting research. A variety of assignments, beginning with personal reflections, build upon one another, as students develop ideas that respond to, critique, and synthesize the positions of others. Students systematize and organize knowledge in ways that will help them in all of their courses. The course also emphasizes the elements of good writing style, appropriate grammar and mechanics, clarity of language, and logical and cohesive development. It culminates in submission of a documented research paper.
Mathematics (3 hours)
MATH 240 - Pre-Calculus (4)
A study of the basic concepts of algebra including factoring, graphing, equations, inequalities, ratio and proportion and rational functions, exponential and logarithmic functions, trigonometric functions, complex numbers, and some elementary topics in theory of equations.
Sciences (6 hours)

Choose a minimum of 6 semester hours from the Science discipline.

One must have a laboratory component.

Social and Behavioral Sciences (6 hours)

A minimum of 6 hours of Social & Behavioral Sciences coursework is required.  Choose from Anthropology, Economics, Geography, History, Political Science, Psychology, and Sociology.  Must select at least two different disciplines to meet requirements.

Arts and Humanities (6 hours)

A minimum of 6 hours of Arts and Humanities coursework is required.  Choose from the Art, English Literature, Fine Arts, Humanities, Music, Philosophy, Religion or Theater disciplines.

Additional General Education Requirements (12 hours)
UNI 199 - University Seminar (2)
A mandatory course for entering full-time, degree-candidate students at Urbana. This course is designed to help freshmen adjust to the Urbana University and develop strategies for success by providing a "support group" during this critical period of adjustment and examining problems common to the freshman experience. Students must pass the course or be required to repeat it.
COMM 150 - Interpersonal Communication (4)
By using applied critical and creative thinking, students in this course will develop a set of communication skills that will enhance their personal and professional relationships and endeavors. This course will focus on skill development in key areas such as self, perception, listening, verbal messages, conversations, relationships, conflict management, persuasion, and public speaking.
OR SPCH 100 - Speech Communication (4)
This public-speaking course emphasizes the fundamentals of extemporaneous speaking. Skill-building activities and assignments focus on research, organization, reasoning, style and delivery of presentations as well as listening and audience engagement.
  • General Education Electives (6)
Major Area (50 hours)
COMP 101 - Problem Solving With Computing (2)
Many organizations today utilize computers and information systems to store, organize, analyze, and summarize data to solve problems. As a result, computing is a tool that can benefit students in many different fields. At the heart of solving problems with computers is the study of structured thinking using algorithms. This course is designed for students with no prior programming experience and teaches the building blocks of algorithms, including variables, expressions, selection and repetition structures, functions and parameters, and array processing.
ITEC 136 - Principles of Programming (4)
This course covers fundamental programming principles for individuals with at least some programming background. Major themes are structured programming, problem solving, algorithm design, top-down stepwise refinement, and software lifecycle. Topics will include testing, data types, operators, repetition and selection control structures, functions, arrays, and objects. Students will design, code, test, debug, and document programs in a relevant programming language.
MATH 241 - Calculus and Analytic Geometry I (4)
A study of single variable calculus including functions, limits, the derivative, applications of the derivative, the integral, and applications of the integral.
MATH 242 - Calculus and Analytic Geometry II (4)
A continuation of MATH 241 which includes logarthmic and exponential functions, inverse trigonometric and hyperbolic functions, techniques of integration, indeterminate forms, improper integrals, and sequences and series.
MATH 255 - Multivariable Calculus (4)
A study of the calculus of several variables with applications. The course covers conic sections, polar coordinates, parametric equations, vectors in two and three dimensions, partial derivatives, and multiple integrals.
MATH 320 - Discrete Mathematics (4)
This course introduces students to fundamental algebraic, logical and combinational concepts in mathematics that are needed in upper division computer science courses. Topics include logic; sets, mappings, and relations; elementary counting principles; proof techniques with emphasis on mathematical induction; graphs and directed graphs; Boolean algebras; recursion; and applications to computer science. Please note: A book fee will be included in your tuition charges for required course materials.
MATH 331 - Differential Equations (3)
This course is an introduction to ordinary differential equations. Basic topics include first-order equations, homogeneous equations, higher- order linear differential equations, second-order linear differential equations with constant coefficients, series solutions, boundary-value problems, and systems of linear differential equations. Methods of solution and applications are discussed in detail.
MATH 343 - Real Analysis (4)
The important concepts of calculus are studies in rigorous detail. Emphasis is on logical details rather than techniques and calculations. Topics studied include limits, continuity, sequences and series, and the derivative and the integral.
MATH 361 - History of Mathematics (3)
A chronological study of the development of mathematics over the past five thousand years, including important mathematical developments, the biographies of the mathematicians involved, and the social and cultural atmosphere in which they lived and worked.
MATH 418 - College Geometry (3)
A study of Euclidean and non-Euclidean geometries as a logical system of undefined terms, defined terms, axioms, and theorems.
MATH 427 - Linear Algebra (3)
A study of the basic concepts of linear algebra including systems of linear equations, Gaussian elimination, matrices, determinants, vectors, vector spaces, and linear transformations.
MATH 446 - Algebraic Structures (4)
An introduction to abstract algebra in a way that emphasizes the nature of the subject and the techniques of rigorous proof. Topics included are sets, mappings, binary operations, groups, rings, fields, and polynomials.
MATH 450 - Statistics I (4)
A study of statistics with applications of calculus. The course covers sets and probability, discrete and continuous probability, distributions, and functions of random variables.
MATH 495 - Senior Seminar (4)
The student works independently under the supervision of his/her faculty advisor. The course will assess the student's entire undergraduate program and offer advice for improvement and/or synthesize knowledge from previous courses. The course will include presentations and/or individual research to the advisor and/or other faculty or students. Prerequisite: Requires senior status and permission of the College Dean.
University Electives (34 hours)

Any undergraduate courses offered by the University except developmental education courses.

Additional Requirements

All students are required to pass College Writing (ENG 120), and University Seminar (UNI 199) prior to enrolling in any course at the 200 level or above. Interpersonal Communication (COMM 150) or Speech Communication (SPCH 100) must be taken prior to enrolling in any course at the 300 level or above. Students must also meet the University algebra competency requirement. Students must also meet the University algebra competency requirement.

Careers

Graduate Prepared for an Exciting Career with a Math Degree

Urbana mathematics graduates have had exciting opportunities in fields like banking, government relations, information technology and finance.

Equipped with a major in math, you’ll be well suited to go on to graduate school for exciting careers in computer science, cryptology, finance, information security and even national security.

Program Outcomes

  1. Explain the deductive framework used in mathematics, and illustrate its use by stating and proving theorems from several areas of mathematics.

  2. Apply mathematical methods of analysis and deduction to investigate fundamental mathematical structures such as groups, graphs, the real line, vector spaces, and topological spaces)

  3. Demonstrate a good understanding of the principles and concepts of mathematics through the spoken and written word.

  4. Evaluate mathematical claims and analyses as presented in popular and professional formats

  5. Solve problems by applying comprehensive mathematical knowledge from various branches of mathematics

  6. Write and present a comprehensive research project illustrating the informed application of knowledge and skills.

  7. Apply knowledge and analytical skills I to the successfully complete a nationally normed comprehensive test

Undergraduate Studies Admission Requirements

Each applicant seeking admission to Urbana University is individually evaluated. Factors considered are past academic achievement, aptitude, extracurricular activities, and any additional evidence supporting the prospect of academic success.

To qualify for admission, applicants seeking an associate or bachelor's degree must present evidence of high school completion in the form of a high school diploma or GED. Careful consideration is given to the applicants academic record to include the curriculum, courses, and/or state mandated graduation tests. Results from standardized testing (either ACT or SAT) are required for first-time freshmen. Students who wish to apply for admission, but do not meet the minimum standardized test scores used for placement in University courses may be required to undergo placement testing.

Undergraduate admission requirements and materials:

A student who meets at least one of the following criteria is eligible for admission as a degree-seeking student:

  • Has provided official documentation of graduation from an accredited high school or its equivalent (see documentation required below), or
  • Has an associate, bachelor or master's degree from a regionally accredited institution of higher education, an institution recognized as a candidate for accreditation, or an institution recognized by the Council of Higher Education Accreditation

Documentation required:

1. Documentation of high school graduation or equivalence is required for applicants who are transferring fewer than 24 semester hours that apply towards a degree.

2. If the student has transferable hours of 24 credit hours or more from a regionally accredited institution of higher education, then they will not have to provide a high school diploma or equivalence. Acceptable forms of documentation of high school graduation or high school equivalence for undergraduate admission must include one of the following:

  • Official high school transcript listing the date of graduation
  • Official GED certificate
  • Official documentation of having passed a State High School Equivalency examination
  • Official documentation of a home school completion certificate/transcript
  • Official transcripts from all educational institutions (college, universities, professional schools, etc.) attended

3. Any applicant seeking to be a first-time freshman undergraduate degree-seeking students at Urbana University must supply standardized test scores (ACT SAT) to be used for placement in courses., to determine athletic eligibility, and/or determine institutional scholarship qualification.

At any time the University may require an applicant to meet with the Admissions Committee to address questions that arise in the application review process. If an applicant requests transfer credit, official transcripts from any other regionally accredited institution are required.

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