Math Programs

Mathematics Degree Requirements

Bachelors of Science in Mathematics with a Concentration

The HPU bachelor of science in mathematics major is a comprehensive degree program that provides students with four options depending on their interests and future plans. We have concentrations in pure math, math education, applied math, and 3-2 engineering. All of the concentrations share the same program objectives. See the more detailed descriptions within each concentration for more information.

Program Objectives:

Students who major in mathematics will:

  1. Recognize and understand a core of fundamental mathematical operational skills.
  2. Apply mathematical problem-solving skills to a variety of real-world problems.
  3. Experience the learning and application of math in an exciting multi-cultural classroom setting.
  4. Employ appropriate research methods in exploring mathematical skills and their use in problem solving.
  5. Develop comprehensive oral and written communication skills while pursuing a broad-based mathematics foundation.
  6. Use mathematics-based skills in both individualized and team-oriented applications.

Core for all Concentrations:

Academic Catalog: General Education and Prerequisite Courses

LOWER DIVISION MAJOR REQUIREMENTS (24 credits):

CSCI 2911: Computer Science I
CSCI 2912: Computer Science II
CSCI 2916: Computer Science I Lab
ECON 2010: Principles of Microeconomics (Values and Choices B) or ECON 2015 Principles of Macroeconomics (Values and Choices C)
MATH 2214: Calculus I
MATH 2215: Calculus II
PHYS 2050: General Physics I
PHYS 2051: General Physics I Lab
PHYS 2052: General Physics II
PHYS 2053: General Physics II Lab

UPPER-DIVISION REQUIREMENTS (9 credits):

Upper Division General Education (6 credits)

Upper Division Research and Writing (3 credits)

COM 3500 Technical Communication or COM 3400 Communicating Professionally

Upper Division Citizenship Requirements (3 credits)

Any Upper-Division Global Citizenship or Service–Learning course (Math 4920 is required for the Math Education concentration and fulfills this requirement.)

Upper Division Math Requirements (3 credits)

MATH 3305: Linear Algebra

Concentration Requirements

Pure Math Concentration: (46 credits)

The pure mathematics concentration provides students more choices of mathematics classes than the other concentrations, thereby allowing students to more fully pursue interests that could lead to a graduate school specialty. The student pursuing the pure mathematics concentration will also be prepared to enter a graduate teacher education program in education.

Lower Division Requirements (25 credits):

MATH 2220: Proof Writing
MATH 2207: Math Across the Ages
MATH 2216: Calculus III
Four semesters of the same modern language

Upper Division Requirements (21 credits):

MATH 3320 or 3110: Set Theory or Mathematical Logic
MATH 3330: Abstract Algebra
MATH 3450: Real Analysis

*Plus any four additional electives. The electives can be upper division (3000 or 4000 level) MATH classes. 

Pure Math Suggested Electives:

MATH 4920: Math Education Practicum
MATH 3301: Discrete Math
MATH 3307: Differential Equations
MATH 3316: Problem Solving
MATH 3220: College Geometry
MATH 3320: Set Theory (if not taken as part of the upper division requirements)
MATH 3110: Mathematical Logic (if not taken as part of the upper division requirements)
MATH 4450: Complex Analysis
MATH 3234: Mathematical Cryptology
MATH 4210: Topology
MATH 3302: Number Theory
MATH 3460: Probability
MATH 4301: Combinatorics and Graph Theory

*Please reference the Academic Catalog for a list of pre-requisites and general education course requirements.

Math Education Concentration (39 credits)

The mathematics education concentration provides students with a solid foundation in undergraduate mathematics with specialized courses to prepare them to pursue entry into a secondary education post-graduate program for licensure and/or a master’s degree in education with a mathematics specialty. This concentration also helps to prepare students for passing the Praxis II Math Content exam for state licensure, for pursuing a position in the Hawaii DOE as an emergency hire, and for pursuing private school mathematics teaching positions.

Lower Division Requirements (15 credits):

COM 2000: Public Speaking
MATH 2220: Proof Writing
MATH 1123: Statistics
MATH 2207: Math Across the Ages
PSY 1000: Introduction to Psychology

Upper Division Requirements (24 credits):

MATH 3220: College Geometry or MATH 2216: Calculus III
MATH 3316: Problem Solving
MATH 3330: Abstract Algebra
MATH 3450: Real Analysis
MATH 4920: Math Ed Practicum

*Plus any three additional electives. The electives can be upper division (3000 or 4000 level) MATH classes, or MATH 2216 (if not taken as part of the concentration requirement), or electives may include up to two PSY or ED classes as approved by a faculty or academic adviser.

Math Education Suggested Electives:

MATH 2216: Calculus III (if not taken as part of the upper division requirements)
MATH 3220: College Geometry (if not taken as part of the upper division requirements)
MATH 3234: Mathematical Cryptology
MATH 3301: Discrete Math
MATH 3302: Number Theory
MATH 3307: Differential Equations
MATH 3460: Probability
MATH 3470: Applied Statistics
MATH 4450: Complex Analysis

*Please reference the Academic Catalog for a list of pre-requisites and general education course requirements.

Applied Math Concentration (38 credits)

The applied mathematics concentration is an interdisciplinary major that has applications to the physical sciences, business and the statistical sciences. Applications to the physical sciences include environmental studies, medical research, and biological research. Applications to business include economics, actuarial science, teaching operations research, and management science. Applications to the statistical sciences include the behavioral and social sciences, education research, and computer science. The successful graduate will be prepared for employment in industry, government, commerce, or further graduate study.

See Careers in Applied Mathematics for more information.

Lower Division Requirements (14 credits):

CHEM 2050: General Chemistry I
CHEM 2051: General Chemistry I Lab
CHEM 2052: General Chemistry II
CHEM 2053: General Chemistry II Lab
MATH 2207: Math Across the Ages
MATH 2216: Calculus III

Upper Division Requirements (24 credits):

MATH 3307: Differential Equations
MATH 3470: Applied Statistics
MATH 3500: Numerical Methods
MATH 4470: Methods of Applied Math I
MATH 4471: Methods of Applied Math II

*Plus any three additional electives. The electives can be upper division (3000 or 4000 level) MATH classes, or MATH 2220, or electives may include up to two Natural Science or CSCI classes as approved by a faculty or academic adviser.

Applied Math Suggested Electives:

MATH 2220: Proof Writing
MATH 3110: Mathematical Logic
MATH 3234: Mathematical Cryptology
MATH 3301: Discrete Math
MATH 3302: Number Theory
MATH 3316: Problem Solving
MATH 3330: Abstract Algebra
MATH 3450: Complex Analysis
MATH 3450: Real Analysis
MATH 3460: Probability
MATH 4301: Combinatorics and Graph Theory
MATH 4920: Math Education Practicum

*Please reference the Academic Catalog for a list of pre-requisites and general education course requirements.


Math Engineering Dual Degree Concentration (27 credits)

The 3-2 engineering concentration is the first portion of a five-year program leading to dual degrees in applied mathematics and engineering. The 3-2 engineering major will receive a well-rounded background in liberal arts and will have a solid foundation in both mathematics and science. The successful major will be fully prepared to continue engineering studies at either Washington University in St. Louis or the University of Southern California in Los Angeles.

The University of Southern California offers engineering degrees in aerospace engineering, biomedical engineering, chemical engineering, civil engineering, computer science, electrical engineering, environmental engineering, industrial and systems engineering, material science and engineering, mechanical engineering, and petroleum engineering.

Washington University offers engineering degrees in chemical engineering, civil engineering, computer science, electrical engineering, engineering and public policy, mechanical engineering, and systems science and mathematics.

Lower Division Requirements (15 credits):

CHEM 2050: General Chemistry I
CHEM 2051: General Chemistry I Lab
CHEM 2052: General Chemistry II
CHEM 2053: General Chemistry II Lab
MATH 2216: Calculus III
PHYS 2054: General Physics III
PHYS 2055: General Physics III Lab

Upper Division Requirements (12 credits):

MATH 3307: Differential Equations
MATH 3500: Numerical Methods
MATH 3470: Applied Statistics
MATH 4470: Methods of Applied Math I

Major Unrestricted Electives

Choose any number of the following depending on engineering major (see notes below):

BIOL 3XXX for example: General Biology I (Biomedical Engineering)
CHEM 3020 Physical Chemistry I (Chemical Engineering)
CHEM 3030 Organic Chemistry I (Chemical Engineering)
CHEM 3040 Quantitative Anaylsis (Chemical Engineering)
CSCI 3XXX for example: Assembly Language and Systems Programming (Computer and Electrical Engineering)
ENVS 3XXX for example: Methods of Environmental Science (Environmental Engineering)
GEOL 3XXX for example: Hydrogeology (Civil Engineering)
MATH 3301 Discrete Math (Electrical Engineering)
MATH 3470 Applied Statistics (Industrial and Systems Engineering)
MATH 4471 Applied Math (Any Major)
Statics and Dynamics See Note 2 (Aero & Astronautical, Mechanical, Petroleum or Civil Engineering)
Strengths of Materials See Note 2 (Aero & Astronautical, Mechanical)
Basic Electrical Circuts See Note 2 (Electrical Engineering)
Note 1: There may be a significant core of course work in addition to the choices listed here depending on the engineering major being pursued. Students should clarify their engineering degree choice by the beginning of the second year at the latest and seek guidance from the 3-2 Engineering Program Coordinator. As an example: for Chemical Engineering, CHEM 3040 Quantitative Analysis and CHEM 3030 Organic Chemistry in addition to CHEM 3020 is highly recommended. Planning elective choices is essential to ensure students are as prepared as possible for their chosen field.
Note 2: These standard sophomore engineering courses, while currently not offered at HPU, should be considered depending on the choice of major. Please reference the Academic Catalog or consult with the Program Coordinator for more information.

Math Minor

To qualify for a math minor, select any five upper-level MATH classes (3000-4000 level) beyond MATH 2215. One 2000-level math class (above MATH 2215) may count to the math minor, but MATH 2326 is not eligible to count towards the minor. Please reference the Academic Catalog for a complete list of course requirements.