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Viewing: MA 331 : Differential Equations for the Life Sciences

Last approved: Tue, 12 May 2015 15:20:25 GMT

Last edit: Tue, 12 May 2015 12:38:25 GMT

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MA (Mathematics)
331
032194
Dual-Level Course
Cross-listed Course
No
Differential Equations for the Life Sciences
Diff. Eq. for Life Sci.
College of Sciences
Mathematics (17MA)
Term Offering
Fall Only
Offered Every Year
Fall 2015
Previously taught as Special Topics?
Yes
2
 
Course Prefix/NumberSemester/Term OfferedEnrollment
MA 493.003Fall 20139
MA 493.003Fall 20128
Course Delivery
Face-to-Face (On Campus)

Grading Method
Graded with S/U option
3
16
Contact Hours
(Per Week)
Component TypeContact Hours
Lecture3.0
Course Attribute(s)


If your course includes any of the following competencies, check all that apply.
University Competencies

Course Is Repeatable for Credit
No
 
 
Hien Tran
Professor of Mathematics

Open when course_delivery = campus OR course_delivery = blended OR course_delivery = flip
Enrollment ComponentPer SemesterPer SectionMultiple Sections?Comments
Lecture3030No n/a
Open when course_delivery = distance OR course_delivery = online OR course_delivery = remote
P: MA 231 or MA 241; X: Credit cannot be given for both MA 341 and MA 331
Is the course required or an elective for a Curriculum?
No
This course provides students with an understanding of how mathematics and life sciences can stimulate and enrich each other. The course topics include first order differential equations, separable equations, second order systems, vector and matrix systems, eigenvectors/eigenvalues, graphical and qualitative methods. The methods are motivated with examples from the biological sciences (growth models, kinetics and compartmental models, epidemic models, predator-prey, etc). Computational modeling will be carried out using SimBiology, a MATLAB toolbox based graphical user interface, which which automates and simplifies the process of modeling biological systems. Credit cannot be given for both MA 341 and MA 331.

This course, which contains materials as an alternative to MA341. Applied Differential Equations (for Mathematics, Physics and Engineering majors), has been taught 3 times with materials varied to test the effectiveness and suitability for students from the biological sciences. It is motivated by the mathematics department's response to the new College of Sciences and our efforts to service an increased community of students from the biological sciences. It will form an appropriate entry level course for our advanced courses in modeling in the biological sciences taught by faculty from mathematics and the Program in Biomathematics, the Center for Quantitative Sciences in Biomedicine and the Provost's cluster hires in the Personalized Medicine thrust.


No

Is this a GEP Course?
No
GEP Categories

Humanities Open when gep_category = HUM
Each course in the Humanities category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

Mathematical Sciences Open when gep_category = MATH
Each course in the Mathematial Sciences category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

Natural Sciences Open when gep_category = NATSCI
Each course in the Natural Sciences category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

Social Sciences Open when gep_category = SOCSCI
Each course in the Social Sciences category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

Interdisciplinary Perspectives Open when gep_category = INTERDISC
Each course in the Interdisciplinary Perspectives category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Visual & Performing Arts Open when gep_category = VPA
Each course in the Visual and Performing Arts category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

Health and Exercise Studies Open when gep_category = HES
Each course in the Health and Exercise Studies category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
&
 

 
 

 
 

 
 

Global Knowledge Open when gep_category = GLOBAL
Each course in the Global Knowledge category of the General Education Program will provide instruction and guidance that help students to achieve objective #1 plus at least one of objectives 2, 3, and 4:
 
 

 
 

 
Please complete at least 1 of the following student objectives.
 

 
 

 
 

 
 

 
 

 
 

US Diversity Open when gep_category = USDIV
Each course in the US Diversity category of the General Education Program will provide instruction and guidance that help students to achieve at least 2 of the following objectives:
Please complete at least 2 of the following student objectives.
 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Requisites and Scheduling
 
a. If seats are restricted, describe the restrictions being applied.
 

 
b. Is this restriction listed in the course catalog description for the course?
 

 
List all course pre-requisites, co-requisites, and restrictive statements (ex: Jr standing; Chemistry majors only). If none, state none.
 

 
List any discipline specific background or skills that a student is expected to have prior to taking this course. If none, state none. (ex: ability to analyze historical text; prepare a lesson plan)
 

Additional Information
Complete the following 3 questions or attach a syllabus that includes this information. If a 400-level or dual level course, a syllabus is required.
 
Title and author of any required text or publications.
 

 
Major topics to be covered and required readings including laboratory and studio topics.
 

 
List any required field trips, out of class activities, and/or guest speakers.
 

College(s)Contact NameStatement Summary
College of SciencesJames Brown
No new resources will be required to teach this course as the students taking MA 331 would otherwise take MA 341.

The course's main goal is to provide students with an understanding of the role played by mathematical modeling in the biological sciences. The course will give students an overview of available methods from Differential Equations that can be applied within the Life Sciences. 


Student Learning Outcomes

After successfully completing MA 331, students will be able to:



  • Give examples of well-known mathematical models of biological systems.

  • Formulate and analyze models involving ordinary differential equations.

  • Numerically simulate a given ordinary differential equation model using SimBiology.

  • Explain how mathematical approaches have informed biological understanding.

  • Read and interpret articles in life sciences that use ordinary differential equations to model biological applications.


Evaluation MethodWeighting/Points for EachDetails
Homework20%Weekly homework assignments.
Test30%Three term tests
Final Exam30%cumulative
Project20%Topics to be determined by instructor.
TopicTime Devoted to Each TopicActivity
Course schedule (topics covered and time devoted for each ) is included in the attached syllabus. Course schedule listed in the attached syllabus.

brownjw (Wed, 08 Apr 2015 17:56:04 GMT): Approved by UAAC 4/8/15
brownjw (Wed, 08 Apr 2015 17:57:32 GMT): ... pending revisions.
brownjw (Wed, 08 Apr 2015 17:58:25 GMT): Rollback: Rolled back for revision according to the UAACs suggestions.
anduca (Thu, 09 Apr 2015 23:57:21 GMT): The restricted statement was added to the course description. The syllabus statement regarding attendance had been revised according to incorporate the suggestions from UAAC.
brownjw (Fri, 10 Apr 2015 16:52:29 GMT): Reviewed and approved by the UAAC 4/8/14 pending revisions which have been made.
Key: 7151