Catalog 2026–2027

Mathematics

Department Co-Chair: Raina Ivanova, Ph.D.
Email: rivanova@hawaii.edu

Department Co-Chair: Shuguang Li, Ph.D.
Email: shuguang@hawaii.edu

Website: hilo.hawaii.edu/academics/math/

Professors:

Associate Professors:

Instructors:

The Mathematics program is designed to give the undergraduate a broad background in modern mathematics and its applications. The upper-division 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, data 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 or choose Mathematics as a secondary major.

Mission

The Department of Mathematics advances innovative and rigorous mathematical education that prepares students for meaningful careers, graduate study, and lifelong intellectual engagement.

We provide a strong foundation in mathematical principles and applications, cultivating analytical reasoning, creativity, andethical problem-solving essential for addressing complex local and global challenges.

As a core contributor to the College of Natural and Health Sciences, we collaborate across disciplines to support scientific inquiry and STEM literacy, empowering students to become informed citizens, educators, scientists, and leaders.

Grounded in the rich cultural and natural environment of Hawaiʻi, we foster inclusive excellence, place-aware learning, and research experiences that connect mathematical theory with real-world impact.

Program Goals

  • Outcome 1 (Knowledge): Fluently apply the core computational techniques found in single and multi-variable Calculus and Matrix Algebra.
  • Outcome 2 (Knowledge): Correctly identify and utilize core concepts in Algebra and/or Real Analysis.
  • Outcome 3 (Apply): Appropriately use technology in the problem-solving process using Computer Algebra Systems and/or Statistical Software.
  • Outcome 4 (Apply): Apply mathematical concepts and techniques to practical and applied problems.
  • Outcome 5 (Analyze): Distinguish valid from invalid mathematical proofs. Compose proofs independently, using a variety of theorem-proving techniques.
  • Outcome 6 (Synthesize): Identify and interpret key ideas in mathematical writing. Demonstrate the ability to articulate mathematics verbally and in writing.

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 scientifically-oriented society;
  • Classical theorem-proving skills, which include the ability to reason mathematically and to apply the rigor necessary to construct proofs;
  • A refined understanding of the problem-solving process;
  • A working knowledge of technology appropriate to the field;
  • The skills necessary to:
    • Read, write, translate, and articulate mathematically-related 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 lower-division mathematics courses (except MATH 103 Intro to College Algebra (3) , MATH 199 Directed Studies (To Be Arranged) , and MATH 299 Directed Studies (To Be Arranged) ) satisfy the CNHS 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.

Curricula