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 Analysis

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 Problem—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

7.1 0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 of 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 Weaknesses

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 Assumption

11.4 Model

11.5 Model Optimization

11.6 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 ball，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