# Mathematics

Mathematics has been around since

Calculus relied on the intuition of an infinitesimal. However, it was still almost three hundred years later that Abraham Robinson showed how the existence of an infinitesimal could be formalized using the Compactness Theorem of First Order Logic. Mathematics is a formal language for human intuitions, and it still remains an open question whether all our intuitions can be ultimately formalized.

HPU offers more individualized attention - our upper division class sizes range from 8-15 students. Our faculty are dedicated to teaching. They come from top mathematics programs across the country and have been actively engaged in world-class mathematics research.

We implement a variety of teaching techniques that are innovative and student-centered, promoting creativity and critical thinking skills rather than being rigidly structured to the lecture hall paradigm.

As a student, you will not only be exposed to different instructional styles, but will also be able to interact with a diverse set of peers in our mathematics clubs and study groups. In your final year, you may have the opportunity to work closely with a faculty mentor on advanced material catered specifically to your personal interests.

At HPU we believe that the beauty of mathematical theorems should be shared with undergraduates. We will expose you to some advanced and elegant theorems such as the Gödel Incompleteness Theorem because we believe need to be challenged and encouraged to do higher mathematics. Our upper division classes will prepare students to study mathematics at elite graduate schools. HPU also recognizes the growing connections between theoretical computer science and mathematics. With the advent of theorem provers in the area of Artificial Intelligence HPU embraces Logic as a vital element of study in the twenty first century. HPU also embraces the idea of introducing undergraduates to research to ease the transition to graduate school. Opportunities exist for undergraduates to work in research projects in Applied Mathematics with one of our professors.

Students who major in Mathematics:

- Interpret, calculate, analyze, represent, and clearly communicate quantitative information through Mathematical tools (e.g. equations, graphs, or diagrams).
- Solve applied problems in mathematics, statistics, or in other math based disciplines.
- Construct and critique mathematical proofs.
- Develop comprehensive oral skills using the language of mathematics in order to articulate mathematical ideas and explain results.

- Application
- Transcripts
- Personal Statement
- $45 Application Fee
- Letter of recommendation
- Resume

* Pancy Lwin*, a 2017 Hawai'i Pacific University graduate with a major in Mathematics, has carved an inspiring path in the world of mathematics and science. Following rigorous advanced math coursework and a transformative summer research experience under the mentorship of Dr. Hyunsun Lee, Pancy felt compelled to pursue a doctoral degree in Applied Mathematics, thanks to the enthusiastic support and recommendations from the Math Department. In 2017, she secured a coveted spot in the inaugural cohort of the Math Modeling PhD program at RIT. Throughout her academic journey, Pancy's mathematical prowess led her to a newfound passion for Biophysics, sparked by her collaboration with dissertation advisor Dr. Moumita Das on emergent properties in cells and tissues. Notably, her research trajectory took an unforeseen turn when the pandemic emerged, offering her an opportunity to delve into the viral lifecycle under therapeutic interventions with Dr. Barbara A Jones from IBM Research. This experience propelled her towards a captivating specialization in Quantitative Systems Pharmacology, which she is currently exploring during her postdoctoral training at SUNY Buffalo School of Pharmacy and Pharmaceutical Sciences. Pancy's fervor for mechanistic modeling drives her to conduct in-silico experiments for the advancement of Quantitative Systems Pharmacology, translational medicine, and drug discovery, reflecting her commitment to applying mathematical concepts to the realm of science and medicine. Her journey is a testament to the transformative power of mathematics teaching and learning in the pursuit of groundbreaking discoveries.

**How to Prepare For a Major in Math at HPU?**

- Take a math course in every semester of high school in order to build your skill level.
- Be ready to take calculus upon arrival at college.
- It will be best if you arrive at HPU with a solid background in the core sciences, particularly physics.
- Any experience in biology or chemistry will also help you in math.
- Don't forget to take writing courses.
- Advanced Placement (AP) and International Baccalaureate (IB) courses in any discipline are fantastic preparation for college level work.
- In addition, if you take the AP or IB exam, you may even get college credit to apply toward your degree.