The study of fish populations in streams and rivers often involves recording fish movements on video from certain locations underwater. Thousands of hours of video is amassed, giving the researchers the tedious task of watching such video and counting the passing fish. However, some software algorithms exist for automatically detecting and counting fish movements from such videos, requiring no human intervention except filtering out false-positives. This project provided an intuitive interface around such an algorithm, completing the software's task of automating fish detection and auditing for false-positives.

Understanding water transport through proton exchange membrane (PEM) fuel cells is critical to their efficient operation. This transport mechanism is complex and is produced by sulphonate ions attached to polymer chains in the membrane that both transport cations and reject anions. During fuel cell operation, water is dragged through the fuel cell by the protons (cations). Such transport is not well-understood. The outcome of this project was a mathematical model of water transport through PEM fuel cells.

Steelheads migrate in cohorts back from the sea into local streams each year. If plotted over time, these cohorts resemble Gaussian curves. To observe these fish, the California Department of Fish and Game has placed video cameras underwater. However, the view from these cameras is randomly occluded by turbid water after rainfall. In order to automatically discover and record fish movements, and maintain accurate measures of fish population, fish movements during such occlusions must be estimated. The mathematical analyses produced in this project demonstrated that a Bayesian estimation is not sufficiently accurate for the problem presented.

Freshwater is a semi-remote rural community in Humboldt County, California. In the event of a disaster, communities such as Freshwater can not be certain they will receive immediate assistance from public safety departments. The ability for communities such as these to be self-sufficient may be essential to survival, during long periods of isolation. However, willingness of community members to assist one another is ineffectual if there is insufficient information regarding available resources. This project focused on providing the infrastructure and training for efficient storage and recall of critical community resources. The database management system was installed and the community was trained on its use. Additionally, privacy issues and long-term effectiveness were addressed.

Design is a topic of increasing interest in many fields. The focus of this project is on the design of software-intensive systems. Few theories of a science of design for software-intensive systems exist, and those that do are usually either too specific to particular subprocesses of design or too broad and difficult to teach. Researchers in this project not only identified the components an all-encompasing but teachable science of design for software-intensive systems must possess but also formulated definitions of the terms "design", "science of design", and "software-intensive systems" in order to ease future inquiries into such research.

Most mathematics teachers are in classrooms that include English Language Learners. Those who prepare pre-service teachers and provide professional development for in-service teachers are challenged to support these teachers with second language acquisition methodology. The Redwood Area Mathematics Project, affiliated with Humboldt State University, has conducted the "California Mathematics Project: English Language Development Institute in Mathematics Content-Algebra" course to several groups of teachers, with backgrounds varying from multiple subjects credentials with no mathematics specialization, to high school teachers with secondary mathematics credentials. This research project developed a measure of how the Institute meets its stated goals in various groups of teachers by focusing on the Institute as it was conducted with a group of Fort Bragg School District teachers during the summer of 2006. The project investigated what teacher-participants perceive they have changed about their teaching and compared how the goals were reached in teachers who participated in 5 days of the Institute as opposed to 10 days of the Institute. Finally, the project designed new activities to include in the Institute to address goals that were not fully met.