Biomathematics

Mission Statement

An increasing number of problems in the biological sciences are being solved using sophisticated mathematical and computational tools. The biomathematics degree blends mathematics, biology, and computer science in preparation for continued graduate studies and for careers in the quantitative life sciences. The degree's mission is to provide a world class undergraduate education in applied mathematics used in support of the life sciences.

The degree's mission is supported and motivated by these facts:

  • Biological data is being generated with unprecedented precision and in unfathomable volumes.
  • Quantifying biological observations requires mathematical and statistical analysis.
  • The basic principles of complex biological systems support mathematical and computational modeling, which can lead to testable hypotheses and new discoveries.

Requirements: 3 Free Electives 12 hours, 3 MA Electives 12 hours, 5 Tech Electives 20 hours, 1 Domain Elective  4 hours

Summary of Graduation Requirements

HSSA36 hours
Standard requirement, one course must be:
Technical & Professional Communication
RHIT
RHIT 100Foundations for Rose-Hulman Success1
Math Core40 hours
MA 111Calculus I5
MA 112Calculus II5
MA 113Calculus III5
MA 200Career Preparation1
MA 221Matrix Algebra & Differential Equations I4
MA 222Matrix Algebra & Differential Equations II4
MA 332Introduction to Computational Science4
MA 371Linear Algebra I4
or MA 373 Applied Linear Algebra for Engineers
MA 381Introduction to Probability with Applications to Statistics4
MA 223Engineering Statistics4
or MA 382 Introduction to Statistics with Probability
Biomath Core16 hours
BMTH 311Systems Biology4
BMTH 312Bioinformatics4
BMTH 413Computational Biology4
BMTH 301Introduction to Biomathematics: Continuous Models4
or BMTH 302 Introduction to Biomathematics: Discrete Models
Basic Science40 hours
BIO 110Cell Structure and Function4
BIO 130Evolution & Diversity4
BIO 120Comparative Anatomy & Physiology4
or BIO 210 Mendelian & Molecular Genetics
BIO 220Microbiology4
BIO 230Cell Biology4
CHEM 111General Chemistry I3
CHEM 111LGeneral Chemistry I Lab1
CHEM 113General Chemistry II3
CHEM 113LGeneral Chemistry II Laboratory1
PH 111Physics I4
PH 112Physics II4
CHEM 251Organic Chemistry I3
or PH 113 Physics III
CHEM 251LOrganic Chemistry I Laboratory1
Computer Science4 hours
CSSE 120Introduction to Software Development4
Capstone Experience8 hours
BMTH 496Capstone Experience I2
BMTH 497Capstone Experience II4
BMTH 498Capstone Experience III2
Domain Elective4 hours
Select any of the following, with no course substitutions permitted:4
Evolutionary Biology (4R-0L-4C W (alternate years) ) 1
Biochemistry I (4R-0L-4C F,S) 2
Programming Language Concepts (4R-0L-4C W) 3
Introduction to Real Analysis (4R-0L-4C W ) 4
Math Electives8 hours
Select any mathematics course numbered 300 or above or8
Introduction to Proofs
Biomathematics Electives4 hours
Select any BMTH course numbered 300 or above, or4
Biostatistics
Technical Electives20 hours
Courses numbered 200 or above in the physical sciences, life sciences, computer science, or engineering. Coursework in mathematics and biomathematics is not allowed.
Free Electives12 hours
Select 12 hours of Free Electives
Total193 hours
1

Prereq. BIO 130 Evolution & Diversity

2

Prereq. CHEM 251 Organic Chemistry I

3

Prereq. CSSE 230 Data Structures and Algorithm Analysis and CSSE 280 Introduction to Web Programming

4

Prereq. MA 371 Linear Algebra I and MA 276 Introduction to Proofs

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 350Biocontrol Systems4
MA 332Introduction to Computational Science (rrequired for majo)4
MA 330Vector Calculus4
MA 342Computational Modeling4
MA 366Introduction to Real Analysis4
MA 367Functions of a Complex Variable4
MA 436Introduction to Partial Differential Equations4
MA 477Graph Theory4
MA 491Introduction to Mathematical Modeling2

Biochemistry

BMTH 301Introduction to Biomathematics: Continuous Models4
BMTH 312Bioinformatics4
CHEM 251
CHEM 252
CHEM 253
Organic Chemistry I
and Organic Chemistry II
and Organic Chemistry III
9
CHEM 326Bioanalytical Chemistry4
CHEM 330
CHEM 331
Biochemistry I
and Biochemistry II
8
CHEM 430Advanced Biochemistry4

Bioinformatics & Biostatistics

BMTH 312Bioinformatics4
MA 381Introduction to Probability with Applications to Statistics (required for major)4
MA 382Introduction to Statistics with Probability4
MA 386Statistical Programming4
MA 482Biostatistics4

Biomechanics

BE 233Biomaterials3
BE 545Orthopaedic Biomechanics4

Biophysics

PH 302Biophysics4

Cellular and Molecular Biology

BIO 220
BIO 230
Microbiology
and Cell Biology
8
BIO 411Genetic Engineering4
BIO 421Applied Microbiology4
BIO 431Genomics & Proteomics4
BMTH 301Introduction to Biomathematics: Continuous Models4

Computational Biology

BMTH 301Introduction to Biomathematics: Continuous Models4
BMTH 413Computational Biology4
CSSE 220Object-Oriented Software Development4
CSSE 333Intro to Database Systems4
CSSE 403Programming Language Paradigms4
CSSE 313Artificial Intelligence4
MA/CSSE 335Introduction to Parallel Computing4
MA 342Computational Modeling4
MA 433Numerical Analysis4
MA 435Finite Difference Methods4
MA/CSSE 473Design & Analysis of Algorithms4

Ecology

BIO 130Evolution & Diversity4
BIO 107Introduction to Environmental Science4
BIO 320Ecology4
BMTH 301Introduction to Biomathematics: Continuous Models4

Epidemiology & Pathology

BIO 410Infection & Immunity4
BIO 441Virology4
BIO 451Cancer Biology4
BIO 461Evolutionary Medicine4
BIO 471Genetic & Molecular Analysis of Inherited Human Disease4
BMTH 301Introduction to Biomathematics: Continuous Models4

Evolution

BIO 130Evolution & Diversity4
BIO 330Evolutionary Biology4
BIO 461Evolutionary Medicine4

Imaging and Optics

BE 435Biomedical Optics4
ECE 480Introduction to Image Processing4
BE 541Medical Imaging Systems4
MA 439Mathematical Methods of Image Processing4
PH 302Biophysics4

Medicine

BIO 120Comparative Anatomy & Physiology4
BIO 410Infection & Immunity4
BIO 441Virology4
BIO 451Cancer Biology4
BIO 461Evolutionary Medicine4
BIO 471Genetic & Molecular Analysis of Inherited Human Disease4
BE 541Medical Imaging Systems4
CHEM 251
CHEM 252
CHEM 253
Organic Chemistry I
and Organic Chemistry II
and Organic Chemistry III
9
CHEM 330
CHEM 331
Biochemistry I
and Biochemistry II
8
CHEM 430Advanced Biochemistry4

Physiology

BIO 120Comparative Anatomy & Physiology4
BE 520Introduction to Brain Machine Interfaces4

The second major in biomathematics is open to all majors with the following requirements and restrictions. Eligibility and limitations:

  • The MA/BMTH double major must be separated by at least 24 hours.

Below is a sample plan of study that illustrates one way to achieve the program requirements. Any given student's plan of study may differ based on a variety of factors (e.g., advanced credit, placement exams, adding a minor). Enrolled students will work with their academic advisor; utilize the degree audit/planner to create a specific plan of study.

Plan of Study Grid
Freshman
FallHours
BIO 130 Evolution & Diversity 4
MA 111 Calculus I 5
CHEM 111 General Chemistry I 3
CHEM 111L General Chemistry I Lab 1
HUM H190 First-Year Writing Seminar 4
RHIT 100 Foundations for Rose-Hulman Success 1
 Hours18
Winter
PH 111 Physics I 4
PH 111L Physics I Lab 0
MA 112 Calculus II 5
CHEM 113 General Chemistry II 3
CHEM 113L General Chemistry II Laboratory 1
BIO 110 Cell Structure and Function 4
 Hours17
Spring
CSSE 120 Introduction to Software Development 4
PH 112 Physics II 4
PH 112L Physics II Lab 0
MA 113 Calculus III 5
HSSA Elective 4
 Hours17
Sophomore
Fall
BIO 210 Mendelian & Molecular Genetics 4
MA 221 Matrix Algebra & Differential Equations I 4
HSSA Elective 4
PH 113
Physics III (PH113 requires lab)
or Organic Chemistry I
4
 Hours16
Winter
BIO 220 Microbiology 4
MA 222 Matrix Algebra & Differential Equations II 4
MA 381 Introduction to Probability with Applications to Statistics 4
HSSA Elective 4
MA 200 Career Preparation 1
 Hours17
Spring
BIO 230 Cell Biology 4
MA 371 Linear Algebra I 4
HSSA Elective 4
BMTH 301 Introduction to Biomathematics: Continuous Models 4
 Hours16
Junior
Fall
BMTH 311 Systems Biology 4
MA 382 Introduction to Statistics with Probability 4
HSSA Elective 4
Elective 1 4
 Hours16
Winter
BMTH 312 Bioinformatics 4
MA 332 Introduction to Computational Science 4
ENGL H290 Technical & Professional Communication 4
Elective 1 4
 Hours16
Spring
BMTH Elective 4
HSSA Elective 4
Elective 1 4
Elective 1 4
 Hours16
Senior
Fall
BMTH 496 Capstone Experience I 2
HSSA Elective 4
Elective 1 4
Elective 1 4
 Hours14
Winter
BMTH 497 Capstone Experience II 4
BMTH 413 Computational Biology 4
Elective 1 4
Elective 1 4
 Hours16
Spring
BMTH 498 Capstone Experience III 2
Elective 1 4
Elective 1 4
Elective 1 4
 Hours14
 Total Hours193
1

Requirements:
3 Free Electives 12 hours
2 MA Electives   8 hours
5 Tech Electives 20 hours
1 Domain Elective     4 hours

Program Goals and Objectives

The biomathematics degree will provide a broad based undergraduate experience that 

  1. prepares students with a rigorous education in applied mathematics, 
  2. educates students in the fundamental principles of biology, 
  3. trains students to work in a computational arena,
  4. introduces students to several of the sister disciplines of computational biology, mathematical biology, bioinformatics, systems biology, and biostatistics, and 
  5. guides students through an advanced undergraduate research project. 

The degree will also liberally educate students through the study of the humanities and social sciences. Students of the program will be encouraged to participate in external and internal research programs and industrial internships and/or co-ops.

Graduates of the biomathematics program will have an ability to:

  1. Mathematically model, solve, and analyze problems in biomathematics.
  2. Implement computational approaches to solve and analyze problems in biomathematics.
  3. Write lucidly about biomathematics.
  4. Speak fluently and coherently about biomathematics.
  5. Synthesize new and previous knowledge through a capstone experience.

Program Outcomes

Graduates will be prepared for graduate study in any of the sister fields as well as for careers in the quantitative life sciences. Each graduate will complete a capstone research experience that will culminate in a written report and a public presentation.