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**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 |

**Rose-Hulman Institute of Technology**

5500 Wabash Avenue

Terre Haute, IN 47803

812-877-1511