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