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Mathematics + Cancer: An Undergraduate "Bridge" Course in Applied Mathematics
SIAM Review ( IF 10.2 ) Pub Date : 2020-02-11 , DOI: 10.1137/18m1191865
Tracy L. Stepien , Eric J. Kostelich , Yang Kuang

SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020.
Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the recommendations outlined in [S. Garfunkel and M. Montgomery, eds., GAIMME: Guidelines for Assessment & Instruction in Mathematical Modeling Education, SIAM, 2016], this paper describes a course on the mathematical models of cancer growth and treatment. Among its aims is to provide a template for a “bridge” course between the traditional calculus and differential equations sequence and more advanced courses in mathematics and statistics. Prerequisites include a course in ordinary differential equations. Linear algebra is a useful corequisite but no previous programming experience is required. The content includes classical models of tumor growth as well as models for the growth of specific cancer types. Relevant research articles are provided for further study. Material for student projects and effective communication is supplied, as well as suggestions for homework assignments and computer labs. This paper aims to assist instructors in developing their own "Mathematics + Cancer" course.


中文翻译:

数学+癌症:应用数学本科“桥梁”课程

SIAM评论,第62卷,第1期,第244-263页,2020年1月。
大多数本科生在数学建模方面经验有限。为了回应各种举措,例如[S. Garfunkel和M. Montgomery编辑,GAIMME:《数学建模教育的评估和指导准则》,SIAM,2016年),本文介绍了有关癌症生长和治疗的数学模型的课程。其目的之一是为传统微积分和微分方程序列之间的“桥梁”课程以及数学和统计学的高级课程提供模板。先决条件包括一门常微分方程式的课程。线性代数是一个有用的必备条件,但不需要任何以前的编程经验。内容包括经典的肿瘤生长模型以及特定癌症类型的生长模型。提供了相关研究文章以供进一步研究。提供了用于学生项目和有效沟通的材料,以及针对家庭作业和计算机实验室的建议。本文旨在协助讲师开发自己的“数学+癌症”课程。
更新日期:2020-02-11
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