前言 第一部分 MCM 2013年A題 第一章 賽題：The Ultimate Brownie Pan 第二章 論文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點評 第三章 論文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點評 第四章 論文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點評 第五章 論文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點評 第六章 論文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點評 第七章 論文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點評 第二部分 MCM 2011年A題 第八章 賽題：Snowboard Course 第九章 論文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點評 第十章 論文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點評 第十一章 論文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點評 第三部分 MCM 2010年A題 第十二章 賽題：The Sweet Spot 第十三章 論文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點評 第十四章 論文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點評
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