Biomathematics - Course Descriptions

BMTH 295 Research Seminar in Biomathematics 1R-0L-1C Arranged
Prerequisites: Consent of instructor
Corequisites: There are no corequisites for this course.

A seminar-style course that introduces novel problems in biomathematics. Problems will be drawn from the modern literature in biomathematics, computational biology, bioinformatics, systems biology, and biostatistics. This course may be taken at most twice for credit.
BMTH 301 Introduction to Biomathematics: Continuous Models 4R-0L-4C (even years) S
Prerequisites: MA 212 Matrix Algebra & Systems of Differential Equations
Corequisites: There are no corequisites for this course.

This course requires no previous knowledge of biology. The application of differential equations and probability to modeling and analyzing dynamic biological systems. Mathematical topics include ordinary and partial differential equations, dynamical systems, bifurcations, limit cycles, chaos, and probabilistic and stochastic modeling. Biological applications may include biochemistry, cell biology, epidemiology, neuroscience, ecology, biofluids, biomaterials, diffusion, and pattern formation.
BMTH 302 Introduction to Biomathematics: Discrete Models 4R-0L-4C (odd years) S
Prerequisites: MA 275 Discrete & Combinatorial Algebra I
Corequisites: There are no corequisites for this course.

This course requires no previous knowledge of biology. The application of discrete mathematics and computational algebra for modelling biological phenomena. Topics may include: gene regulatory networks, genomics, RNA folding, neuronal networks, infectious disease modeling, phylogenetics, and/or ecological networks. Students will also use software currently used in mathematical biology research for visualization, simulation, and analysis.
BMTH 311 Systems Biology 4R-0L-4C F (even years)
Prerequisites: MA 212 Matrix Algebra & Systems of Differential Equations *MA 212 may be taken concurrently with instructor permission.
Corequisites: There are no corequisites for this course.

The study of how to combine detailed biological information to build models of entire systems. Nearly any biological scale can be considered. For example, at the biochemistry level the course will consider topics such as gene regulatory networks, protein interaction networks, and metabolisms. Moving toward larger scales, systems biology can be used to study the growth of cancerous tumors, and on an even larger scale, the mating and social structure of populations. The course's focus is on how to use relational information to perform model based inquiries of an entire system.
BMTH 312 Bioinformatics 4R-0L-4C W (even years)
Prerequisites: CSSE 120 Introduction to Software Development , and MA 381 Introduction to Probability with Applications to Statistics
Corequisites: There are no corequisites for this course.

This course will study how to combine mathematical, statistical, probabilistic, and computational methods to analyze biological data. Example topics are sequence alignment, locating genes, structural alignment, microarray analysis, and drug design. The course emphasizes how to search and compare biological datasets to make scientific inferences.
BMTH 413 Computational Biology 4R-0L-4C W (odd years)
Prerequisites: MA 332 Introduction to Computational Science , and either BMTH 301 Introduction to Biomathematics: Continuous Models or BMTH 302 Introduction to Biomathematics: Discrete Models or BMTH 311 Systems Biology , BMTH 312 Bioinformatics
Corequisites: There are no corequisites for this course.

The study of how to build and validate computational models to conduct biological studies. Ex-emplary topics include molecular dynamics, haplotyping, phylogenetics, neuroscience, and population dynamics. The course will consider the implementation and analysis of algorithms that are specifically germane to the life sciences.
BMTH 490 Topics in Biomathematics Variable Credit
Prerequisites: There are no prerequisites for this course.
Corequisites: There are no corequisites for this course.

Varies
BMTH 496 Capstone Experience I 2C F
Prerequisites: Senior standing or permission of instructor.
Corequisites: There are no corequisites for this course.

Independent study in a thesis project to be directed by a faculty member. The project and faculty adviser are to be identified prior to starting BMTH 496, and a plan of study is to be agreed upon by the student and adviser prior to the initiation of the thesis sequence. The thesis will culminate in a written report and a public presentation/defense that will be evaluated by a thesis committee consisting of at least the adviser and two other members of the faculty. BMTH 496/497/498 must be taken in consecutive quarters.
BMTH 497 Capstone Experience II 4C W
Prerequisites: BMTH 496 Capstone Experience I
Corequisites: There are no corequisites for this course.

Independent study in a thesis project to be directed by a faculty member. The project and faculty adviser are to be identified prior to starting BMTH 496, and a plan of study is to be agreed upon by the student and adviser prior to the initiation of the thesis sequence. The thesis will culminate in a written report and a public presentation/defense that will be evaluated by a thesis committee consisting of at least the adviser and two other members of the faculty. BMTH 496/497/498 must be taken in consecutive quarters.
BMTH 498 Capstone Experience III 2C S
Prerequisites: BMTH 497 Capstone Experience II
Corequisites: There are no corequisites for this course.

Independent study in a thesis project to be directed by a faculty member. The project and faculty adviser are to be identified prior to starting BMTH 496, and a plan of study is to be agreed upon by the student and adviser prior to the initiation of the thesis sequence. The thesis will culminate in a written report and a public presentation/defense that will be evaluated by a thesis committee consisting of at least the adviser and two other members of the faculty. BMTH 496/497/498 must be taken in consecutive quarters.

FOCUS AREAS
Students earning a major in Biomathematics are encouraged to gain depth in a particular mathematical or scientific area. By pursuing focused coursework in the following suggested areas, students will advance their preparation for graduate studies or careers in mathematical life sciences. Gaining depth through advanced electives also provides biomathematics students with an opportunity to apply knowledge gained through BMTH coursework. The following focus areas are illustrative examples to consider.

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