BIOMATHEMATICS CORE

BMTH 310 Mathematical Biology 4R-0L-4C F Prereq: MA 211, MA 212.
This course emphasizes the application of differential equations and probability theory to modeling and analyzing dynamic biological systems. Mathematical topics include ordinary and partial differential equations, discrete dynamical systems, bifurcations, limit cycles, chaos, and probabilistic and stochastic modeling. Biological applications may include, but are not limited to, biochemistry, molecular and cellular biology, epidemiology, neurophysiology, ecology, sociology, and pattern formation.

BMTH 311 Systems Biology 4R-0L-4CWPrereq: MA 211, MA 212. MA 212 may be taken concurrently with instructor permission.
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 S (odd years) Prereq: CSSE 120 and MA 381.
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 S (even years) Prereq: MA 332 and one of BMTH 310/311/312.
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 Prereq: Consent of Instructor.

CAPSTONE EXPERIENCE
BMTH 496 Capstone Experience I 2C F Prereq: senior standing or permission of instructor.
BMTH 497 Capstone Experience II 4C W Prereq: BMTH 496.
BMTH 498 Capstone Experience III 2C S Prereq: BMTH 497.
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.

Applied Mathematics
  BE 350 Biocontrol Systems
  MA 275/375  Discrete and Combinatorial Algebra I/II
  MA 332 Intro. to Computational Science [required for major]
  MA 330 Vector Calculus
  MA 342 Computational Modelings
  MA 366 Real Analysis
  MA 367 Functions of a Complex Variable
  MA 436 Introduction to Partial Differential Equations
  MA 472 Graph Theory
  MA 491 Introduction to Mathematical Modeling

 

Biochemistry
  BMTH 312 Bioinformatics
  BMTH 310 Mathematical Biology
  CHEM 251/252/253  Organic Chemistry I/II/III
  CHEM 326 Bioanalytical Chemistry
  CHEM 330/331 Biochemistry I/II
  CHEM 430 Advanced Biochemistry

 

Bioinformatics & Biostatistics
  BMTH 312  Bioinformatics
  MA 381 Intro. to Probability with Statistics [required for major]
  MA 382 Intro. to Statistics with Probability
  MA 382 Engineering Statistics II
  MA 386 Statistical Programming
  MA 482 Bioengineering Statistics

 

Biomechanics
  BE 361  Biomaterials
  BE 525 Biomedical Fluid Mechanics
  BE 534 Soft Tissue Mechanics
  BE 539 Multiscale Biomechanics
  BE 545 Orthopedic Biomechanics

 

Biophysics
  PH 302  Biophysics
  BE 525 Biomedical Fluid Mechanics

 

Cellular and Molecular Biology
  BIO 220/230  Prokaryotic/Eukaryotic Cell and Molecular Biology [required for major]
  BIO 205 Cellular Physiology
  BIO 411 Genetic Engineering
  BIO 421 Applied Microbiology
  BIO 431 Genomics and Proteomics
  BMTH 310 Mathematical Biology
  CHEM 455 Natural Products [offered irregularly]

 

Computational Biology
  BMTH 310 Mathematical Biology
  BMTH 413 Computational Biology
  CSSE 220 Object Oriented Software Development
  CSSE 333 Database Systems
  CSSE 403 Programming Language Paradigms
  CSSE 431 Artificial Intelligence
  MA/CS 335  Introduction to Parallel Computing
  MA 342 Computational Modeling
  MA 433 Numerical Analysis
  MA 435 Finite Difference Methods
  MA/CS 473 Design and Analysis of Algorithms

 

Ecology
  BIO 130 Evolution and Diversity
  BIO 264 Introduction to Environmental Science
  BIO 320 Ecology
  BMTH 310 Mathematical Biology
  CHEM 371  Environmental Analytical Chemistry

 

Epidemiology & Pathology
  BE 310/320 Analysis of Physiological Systems I/II
  BIO 410 Infection and Immunity
  BIO 441 Virology
  BIO 451 Cancer Biology
  BIO 461 Evolutionary Medicine
  BIO 471 Genetic and Molecular Analysis of Inherited Human Disease
  BMTH 310 Mathematical Biology

 

Evolution
  BIO 130  Evolution and Diversity
  BIO 330 Evolutionary Biology
  BIO 461 Evolutionary Medicine
  SV 386 Human Evolution

 

Imaging and Optics
  BE 435 Biomedical Optics
  ECE 480 Introduction to Image Processing
  BE 541 Medical Imaging Systems
  MA 429 Mathematical Methods of Image Processing
  PH 302 Biophysics

 

Medicine
  BIO 120 Comparative Anatomy and Physiology
  BIO 410 Infection and Immunity
  BIO 441 Virology
  BIO 451 Cancer Biology
  BIO 461 Evolutionary Medicine
  BIO 471 Genetic and Molecular Analysis of Inherited Human Disease
  BE 541 Medical Imaging Systems
  CHEM 251/252/253  Organic Chemistry I/II/III
  CHEM 330/331 Biochemistry I/II
  CHEM 420 Advanced Biochemistry

 

Physiology
  BIO 120 Comparative Anatomy and Physiology
  BIO 205 Cellular Physiology
  BE 310/320 Analysis of Physiological Systems I & II
  BE 520 Introduction to Brain Machine Interfaces