前言
第一部分 MCM 2013年A题
第一章 赛题:The Ultimate Brownie Pan
第二章 论文1:The Ultimate Brownie Pan
§2.1 Introduction
§2.2 Assumptions
§2.3 Notations
§2.4 Part I
§2.5 Part II
§2.6 Strengths and Weaknesses
§2.7 Future Work
§2.8点评
第三章 论文2:The Ultimate Brownie Pan
§3.1 Introduction
§3.2 Problem AnaIvsis
§3.3 Assumptions
§3.4 Models
§3.5 Results
§3.6 Analysis of Models
§3.7点评
第四章 论文3:The Ultimate Brownie Pan
§4.1 Introduction
§4.2 Restatement of the Problem
§4.3 Problem Analysis
§4.4 Model Assumptions
§4.5 Model and Solution
§4.6 Evaluation of the Model
§4.7 Future Works
§4.8点评
第五章 论文4:Heat Distribution and the Ultimate Brownie Pan
§5.1 Introduction
§5.2 Heat Distribution Proble~the Models of Heat Distribution Across
Pans
§5.3 The Pan-Shape—Choosing Problem
§5.4点评
第六章 论文5:Ultimate Brownie Pan,Live in a Delicious Way
§6.1 Introduction and Backgrounds
§6.2 Terminology and Definitions
§6.3 Assumptions
§6.4 Temperature Distribution Model
§6.5 Solutions to Requirements
§6.6 Sensitivity Analysis
§6.7 Strengths and Weaknesses
§6.8点评
第七章 论文6:The Ultimate Brownie Pan
§7.1 Introduction
§7.2 Assumptions
§7.3 Heat Analysis
§7.4 Unevenness of Distribution
§7.5 Arrangement Problem
§7.6 Weight Analysis
§7.7 Sensitivity Analysis
§7.8 Conclusions
§7.9 Strengths and Weaknesses
§7.10点评
第二部分 MCM 2011年A题
第八章 赛题:Snowboard Course
第九章 论文1:Research of the Snowboard Course
§9.1 Introduction
§9.2 Scheme 1
§9.3 Scheme 2
§9.4 Scheme 3
§9.5 Strengths and Weaknesses
§9.6 Conclusions
§9.7点评
第十章 论文2:Snowboard Course:the Optimization 0f the Halfpipe shape
§10.1 Introduction
§10.2 Assumptions
§10.3 Variable Definition
§10.4 Analysis of the Problem
§10.5 The Model Results
§10.6 Improve the Model
§10.7 Conclusions
§10.8 Strengths and Weaknesse
§10.9点评
第十一章 论文3:A Solution to Snowboard Course
§11.1 Introduction
§11.2 Analysis
§11.3 Variables and Assnmption
§11.4 Model
§1 1.5 Model Optimization
§1 1.6 Practical Application
§11.7 Conclusion
§11.8 Appendix
§11.9点评
第三部分 MCM 2010年A题
第十二章 赛题:The Sweet Spot
第十三章 论文1:Hit the bali,hit the sweet spot
§13.1 Introduction
§13.2 General Assumptions
§13.3 The Collision Model
§13.4 Two Definitions of the Sweet Spot
§13.5 Verification of the Model
§13.6 Corking the Bat
§13.7 The Vertical Sweet Zone
§13.8 Metal Bats
§13.9点评
第十四章 论文2:The Sweet Spot
§14.1 Restatement of the Problem
§14.2 Terms and Ambiguous Words
§14.3 Ambiguous Words
§14.4 Assumptions
§14.5 The COP Model
§14.6 The Plane—parallel Motion Model
§14.7 The Plane—parallel Motion Model of a Corked Bat
§14.8 Dynamics of Swinging a Bat
§14.9 The Comprehensive Consideration
§14.10点评