Mathematics Program
Mathematics Program
Mathematics Program
Prospectus
The Mathematics major and minor programs are designed to:
- Prepare secondary school mathematics teachers;
- Prepare students for other employment requiring the use of mathematics; and
- Provide an understanding of the fundamental quantitative considerations, symbolized mathematically, which underlie our mechanized society.
Additional requirements for a Mathematics major leading to a general secondary teaching credential are listed in the Secondary Education program. A student must declare a double major in Mathematics and Secondary Education for a secondary teaching degree.
Program Learning Outcomes
Students completing the Mathematics Program at UOG will:
- Demonstrate critical thinking, problem-solving skills and ability to use mathematical methods by identifying, evaluating, classifying, analyzing, synthesizing data and abstract ideas in various contexts and situations.
- Exhibit a sound conceptual understanding of the nature of mathematics, and demonstrate advanced mathematical skills in mathematical analysis, modern algebra and other mathematical discipline(s).
- Argue and reason using mathematics, read, create and write down logically correct mathematical proofs, use exact mathematical language and communicate mathematics efficiently orally, in writing and using information technology tools.
- Apply abstract thinking, mathematical methods, models and current practices in the sciences, including state-of-the-art mathematical software, to solve problems in theoretical mathematics or in a diverse area of mathematical applications.
- Show maturity in mathematical knowledge and thinking that prepares and encourages students to pursue graduate studies in mathematics or in related fields.
- Demonstrate an appreciation of and enthusiasm for inquiry, learning and creativity in mathematical sciences, a sense of exploration that enables them to pursue lifelong learning and up-to-date professional expertise in their careers through various areas of jobs, including governmental, business or industrial jobs in mathematics, related sciences, education or technology.
MAJOR REQUIREMENTS (59 credit hours)
Mathematics majors must complete studies with a cumulative GPA of 2.3 in the courses specified as required courses for the major.
Required Courses (47 credit hours)
|
Course |
Course Title |
Credits |
Term Offered |
| PH251 | UNIVERSITY PHYSICS + This is the first of a two-semester course in general physics using applied calculus.
Classical mechanics, heat and thermodynamics are considered. It includes four hours
of lecture per week. Prerequisite: MA203 or concurrent enrollment.
|
4 credit hours | FALL ONLY/ALL YEARS |
| PH252 | UNIVERSITY PHYSICS + A continuation of PH251, this course deals with classical electricity and magnetism,
optics, wave motion and sound. It includes three hours of lecture per week. Prerequisite:
PH251.
|
4 credit hours | SPRING ONLY/ALL YEARS |
| MA203 | CALCULUS I + This is the first semester of a standard calculus course. Topics include limits; continuity;
the definition of derivatives; derivatives of algebraic and transcendental functions;
product, quotient, and chain rules; applications; and Riemann Sums. Prerequisite:
Grade of C or better in MA161b or MA165 or placement or equivalent.
|
5 credit hours | FALL/SPRING/ALL YEARS |
| MA204 | CALCULUS II + This is the second semester of a standard calculus course. Topics include techniques
and applications of integration, differential equations, power series, and Taylor
series. Prerequisite: Grade of C or better in MA203.
|
5 credit hours | FALL/SPRING/ALL YEARS |
| MA205 | MULTIVARIABLE CALCULUS + This course covers the calculus of functions of several variables, including partial
differentiation and multiple integration. It also covers introductory topics in vector
calculus, including vector fields, line integration, Green's Theorem, curl and divergence,
surface integrals, Stokes' Theorem, and the Divergence Theorem. Prerequisite: Grade
of C or better in MA204.
|
5 credit hours | FALL/SPRING/ALL YEARS |
| MA302 | FOUNDATIONS OF HIGHER MATHEMATICS + This course provides a careful introduction to mathematical reasoning using definitions
and proofs. Topics covered include set theory, logic and mathematical induction. Prerequisite:
Grade of C or better in MA205, or C or better in MA341, or A- or better in MA204.
|
3 credit hours | SPRING ONLY/ALL YEARS |
| MA341 | LINEAR ALGEBRA + Topics covered include vectors, systems of linear equations, matrices, eigenvalues
and eigenvectors, vector spaces, determinants and linear transformations. Prerequisite:
Grade of C or better in MA204, or A in MA203.
|
3 credit hours | FALL/SPRING/ALL YEARS |
| MA411 | INTRODUCTION TO ABSTRACT ALGEBRA I + This course offers a study of modern algebra with topics from group theory and ring
theory. Prerequisites: Grades of C or better in MA205, MA302 and MA341.
|
3 credit hours | FALL ONLY/ALL YEARS |
| MA412 | INTRODUCTION TO ALGEBRA II + This is the second course in a two-semester sequence of introductory courses in abstract
algebra. Topics covered include field theory, Sylow theorems, introductory Galois
Theory, and some of advanced group theory, module and ring theory. Prerequisites:
Grades of C or better in MA411.
|
3 credit hours | SPRING ONLY/ALL YEARS |
| MA421 | INTRODUCTION TO ANALYSIS I + This is the first course in a two-semester sequence designed to provide an introduction
to the rigorous study of the foundations of calculus. Topics covered include the completeness
of the real numbers, elementary topology, continuous functions, and numerical sequences
and series. Prerequisites: A grade of C or better in MA205 and MA302.
|
3 credit hours | FALL ONLY/ALL YEARS |
| MA422 | INTRODUCTION TO ANALYSIS II + This is the second course in a two-semester sequence designed to provide an introduction
to the rigorous study of the foundations of calculus. Topics covered include differentiation,
integration, sequences and series of functions. Prerequisites: A grade of C or better
in MA421.
|
3 credit hours | SPRING ONLY/ALL YEARS |
| MA301 | DIFFERENTIAL EQUATIONS + This course covers the study of the fundamental concepts of differential equations
with applications. Prerequisite: Grade of C or better in MA204.
|
3 credit hours | SPRING ONLY/ALL YEARS |
Choose one of the following:
|
Course |
Course Title |
Credits |
Term Offered |
| CS201 | PROGRAMMING I + This course introduces high level computer programming languages with emphasis on
program design, coding, debugging, testing, and proper documentation with applications.
Prerequisite: CS200, MA161a witha a "C" or higher or MA165 with a "C" or higher.
|
4 credit hours | FALL/SPRING/ALL YEARS |
| CS202 | PROGRAMMING II + This course introduces problem-solving methods by using an object-oriented programming
language. Topics include data types, decisions and loops, objects and classes, arrays
and array-lists, algorithms and methods, encapsulation and polymorphism, inheritance
and interface, graphical user interfaces, and exception handling. Prerequisites: CS200
and CS201; or consent of instructor.
|
4 credit hours | FALL/SPRING/ALL YEARS |
Electives (12 credit hours)
A minimum of 12 credit hours of upper division Mathematics (MA) courses in addition to those already required.
MINOR REQUIREMENTS (29 credit hours)
Required Courses (17 credit hours)
|
Course |
Course Title |
Credits |
Term Offered |
| MA203 | CALCULUS I + This is the first semester of a standard calculus course. Topics include limits; continuity;
the definition of derivatives; derivatives of algebraic and transcendental functions;
product, quotient, and chain rules; applications; and Riemann Sums. Prerequisite:
Grade of C or better in MA161b or MA165 or placement or equivalent.
|
5 credit hours | FALL/SPRING/ALL YEARS |
| MA204 | CALCULUS II + This is the second semester of a standard calculus course. Topics include techniques
and applications of integration, differential equations, power series, and Taylor
series. Prerequisite: Grade of C or better in MA203.
|
5 credit hours | FALL/SPRING/ALL YEARS |
| MA205 | MULTIVARIABLE CALCULUS + This course covers the calculus of functions of several variables, including partial
differentiation and multiple integration. It also covers introductory topics in vector
calculus, including vector fields, line integration, Green's Theorem, curl and divergence,
surface integrals, Stokes' Theorem, and the Divergence Theorem. Prerequisite: Grade
of C or better in MA204.
|
5 credit hours | FALL/SPRING/ALL YEARS |
| MA302 | FOUNDATIONS OF HIGHER MATHEMATICS + This course provides a careful introduction to mathematical reasoning using definitions
and proofs. Topics covered include set theory, logic and mathematical induction. Prerequisite:
Grade of C or better in MA205, or C or better in MA341, or A- or better in MA204.
|
3 credit hours | SPRING ONLY/ALL YEARS |
Elective Courses (12 credit hours)
A minimum of 6 credit hours of upper division Mathematics (MA) courses in addition to:
|
Course |
Course Title |
Credits |
Term Offered |
| MA302 | FOUNDATIONS OF HIGHER MATHEMATICS + This course provides a careful introduction to mathematical reasoning using definitions
and proofs. Topics covered include set theory, logic and mathematical induction. Prerequisite:
Grade of C or better in MA205, or C or better in MA341, or A- or better in MA204.
|
3 credit hours | SPRING ONLY/ALL YEARS |
Division Chair
Aquino J. Camacho Leslie
Office Location: Expertise
Program Faculty
Quinata Marie G. Katrina
Office Location: Expertise
Takenouchi Yoshifumi
Office Location: Expertise
Undergraduate Teaching Assistant/Grader
The Division of Mathematics & Computer Science has several job opportunities available for math majors and minors, though they are open to students of other majors as well.
Applicants must have passed MA-203 (Calculus I) with an "A."
Job opportunities:
- Tutoring: Help students up to 100-level (or possibly higher) math courses on an individual basis.
- MA-085 (Fundamental Math): Grading, tutoring, and assisting the instructor
- MA-203 (Calculus): Assist the instructor
- Grader: Grading homework and other assignments
If you are interested or have questions, please see Jeannette Jose in Warehouse B,
Room #4, or call (671) 735-2825.
Math Tutor Lab
The Division of Mathematics & Computer Science offers free tutoring services for any students who need assistance in learning mathematics up to 100-level (or possibly higher) math courses. The tutoring center is open to all students, no appointments required.
Location: ALS Bldg., Room 230
Time: 9 a.m. - 5 p.m. from Monday to Thursday; 9 a.m. to 1 p.m. on Friday
Please check with the division's main office (Warehouse B, Room #4) for the detailed schedule.