课程题目:Statistical Methods for Differential Equation Modeling
授 课 人:邱兴 教授(罗彻斯特大学)
授课地点:4号楼4318室
课程安排:
6月23日(周日)下午3:00-6:00
第一讲 Introduction to functional data analysis;
6月24日(周一)上午9:00-12:00 下午3:00-6:00
第二讲 Introduction to ordinary differential equations
6月25日(周二)上午9:00-12:00 下午3:00-6:00
第二讲 Introduction to ordinary differential equations
6月26日(周三)上午9:00-12:00 下午3:00-6:00
第三讲 Statistical methods for inverse problem;
6月27日(周四)上午9:00-12:00 下午3:00-6:00
第四讲 Sparcity, stability, and controllability.
6月28日(周五)上午9:00-12:00 下午3:00-6:00
第五讲 Partial differential equations and other future research opportunities;
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数学学院
2019年6月5日
课程简介:
Prerequisites: Calculus I, II (MTH 161, 162 or equivalent); Ordinary Differential Equations (MTH 163 or equivalent); Probability Theory (BST 401 or equivalent); Statistical Inference (BST 411 or equivalent).
Course Description
This course intends to introduce students with basic concepts of a “system” and differential equations theory with applications to modeling biological systems and processes. This course will present statistical and mathematical techniques that are required to reconstruct biological networks, analyzing medical image data, etc.
Course Aims and Objectives
We will train students in functional data analysis, parameter estimation and model selection, cluster analysis, and numerical methods for differential equations, so that they have a systems thinking in biomedical research with a solid systems science approach. The students are also expected to master statistical, mathematical, and computational skills that are necessary for their future research in computational biology.
Course Policies and Expectations
Students are expected to attend every class and finish homework and/or projects in a timely fashion. Students may bring laptops to class to assist learning.