Mathematics
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Department Chair:
Raina Ivanova (rivanova@hawaii.edu)
Natural Sciences Division Office:
Life Sciences 2, (808) 9327532
Web: hilo.hawaii.edu/academics/math/
Professors:
 Raina "Reni" Ivanova, Ph.D.
 Shuguang Li, Ph.D.
Associate Professors:
 Mitchell J. Anderson, Ph.D.
 Ramón FigueroaCenteno, Ph.D.
 Efren Ruiz, Ph.D.
 Brian Wissman, Ph.D.
Assistant Professor:
 Roberto C. Pelayo, Ph.D.
Instructors:
 Erica Bernstein, Ph.D
 Robert L. Garry, M.S.
 Zorana Lazarevic, Ph.D.
The Mathematics program is designed to give the undergraduate a broad background in modern mathematics and its applications. The upperdivision mathematics courses represent a core leading to further work in mathematics or mathematically related areas or careers in mathematics education. Applications may be pursued in such areas as systems theory, graph theory, number theory, statistics, and geometry, which are widely used in computer science, business, and the physical, life, and social sciences. Students majoring in other fields whose interests require a strong background in mathematics can minor in mathematics.
The B.A. in Mathematics is offered through two tracks, the Traditional and the Teaching track. Each track requires two years of calculus and one semester each of discrete math and linear algebra. The traditional track includes oneyear sequences in the classical areas of modern algebra and real analysis, and students completing this track are particularly well prepared for graduate study. The teaching track includes a oneyear sequence in probability and statistics, consistent with recent National Council of Teachers of Mathematics standards, as well as one semester each in real analysis, geometry, and modern algebra. Students completing this broad curriculum are well prepared to teach all areas of intermediate and secondary math.
Mission
The instructional mission of the Mathematics Department is threefold:
 First, the major program is designed to prepare its students for successful careers in secondary education and other areas requiring a strong foundation in mathematics, or for success at the graduate level, either in mathematics or a related discipline. The degree is intended to familiarize students with a wide range of areas within the field of mathematics, and to instill in them an appreciation for the rigor and structure of the discipline.
 Second, the Math Department provides extensive support to those departments requiring mathematics content for their majors, particularly those in the Natural Sciences.
 Third, the Department services nonscience majors by offering a limited selection of courses that are designed to introduce the students to the fundamental concepts that constitute classical and contemporary mathematics.
Program Goals
Graduating majors in the Traditional Track should be able to:
 Outcome 1 (Knowledge): Demonstrate mastery of the core material found in single and multivariable Calculus and Linear Algebra.
 Outcome 2 (Knowledge): Demonstrate mastery of the core concepts in Abstract Algebra and Real Analysis.
 Outcome 3 (Comprehension): Identify, compare, and contrast the fundamental concepts within and across the major areas of mathematics, with particular emphasis on Linear Algebra, Abstract Algebra, and Real Analysis.
 Outcome 4 (Reasoning): Use a variety of theoremproving techniques to prove mathematical results.
 Outcome 5 (Communication): Demonstrate the abilities to read and articulate mathematics verbally and in writing.
Graduating majors in the Teaching Track should be able to:
 Outcome 1 (Knowledge): Demonstrate mastery of the core material found in single and multivariable Calculus and Linear Algebra.
 Outcome 2 (Knowledge): Demonstrate mastery of the core concepts in Abstract Algebra, Real Analysis, Probability, and Statistics.
 Outcome 3 (Comprehension): Identify, compare, and contrast the fundamental concepts within and across the major areas of mathematics, including Linear Algebra, Abstract Algebra, Real Analysis, Geometry, Probability, and Statistics.
 Outcome 4 (Reasoning): Use a variety of theoremproving techniques to prove mathematical results.
 Outcome 5 (Communication): Demonstrate the abilities to read and articulate mathematics verbally and in writing.
 Outcome 6 (Application): Demonstrate a level of mathematical sophistication consistent with the ability to develop and deliver all precollege mathematics.
 Outcome 7 (Technology): Demonstrate an ability to appropriately use technology in the problemsolving process, including graphing calculators and CAS, and secondarily spreadsheets, statistical software, and proprietary software such as sketchpad.
Goals for Student Learning in the Major
As a result of having majored in mathematics, students are expected to develop:
 A general understanding of the different areas of mathematics and how they interrelate, and the importance of mathematics in a scientificallyoriented society;
 Classical theoremproving skills, which include the ability to reason mathematically and to apply the rigor necessary to construct proofs;
 A refined understanding of the problemsolving process;
 The ability to independently develop and deliver all precollege math curriculum, if the professional goal is teaching;
 A working knowledge of technology appropriate to the field;

The skills necessary to
 Read, write, translate, and articulate mathematicallyrelated material,
 Solve problems using a variety of techniques, including algebraic, numerical, and spatial reasoning through visualization (e.g. graphically),
 Make inferences and generalizations.
Contributions to the General Education Program
All lowerdivision mathematics courses (except MATH 103, 199V and 299V) satisfy the CAS General Education “quantitative and logical reasoning” requirements. Students who have fulfilled this General Education requirement should have developed an appreciation for the applicability of mathematical concepts and techniques to contemporary society.
Special Aspects of the Mathematics Program
The Math Center
College Hall, Room 5
Tel: (808) 9747380
Curricula
 B.A. in Mathematics Requirements
 Mathematics Minor
 STEM Research Honors Certificate
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