Preparation for MCM/ICM Writing
 by Chance Zhang $1^{st}ed$
key words: MCM/ICM, format, phrases, tools
This document is a basic note in preparation of MCM/ICM
Format
The Basic Format

Three separated pages including:

one page of Commitment in Chinese

one page of Summary page with headings
restatement of the question
explain assumptions and rationale/justification
include the model design and justification
describe the result of the model testing and sensitivity analysis
discuss the strengths and weaknesses

one page of Content of the paper


Less than 23 pages of the main body including:

Introduction
description of the model, question and the background information(significance)
> Put forward questions in a way that is easy to model(Restatement of the problem)
Previous Research (Assumptions, Theories, )
Our Work (Brief Summary+Significance)

Assumption and Justifications
All the Variables + Their Notations (maybe in a table)
Assumptions and Related Mathematical Equations
(Lessen the number of variables here.)
(Check the dimensions of the equations here, the notations should be clear enough to read)
the assumptions should be summarised into 3~5 pieces so that the reader can remember

Model Designs
several paragraphs of models

Choose some models for the question, forming them into Model Series,checking the textbook for classic models
(the design or choice of the models, the thesis of them, flow chart, name of the software with reasons for the choice)
(necessary equations or theorems)

Restate the questions in the form in accordance with the models chosen
(Record any additional assumptions made in this section)

Use the models to solve the questions
flow chart, math,
some results that are not necessary mustn't be listed
mathematic solutions to the given problems


Model Test
Sensitivity Analysis
Strength
Limitations(View the posted question as a special case of certain general question)

Practical Applications+ Further work
Explain the conclusion in an easytounderstand way, trying to avoiding the technical notations, (graphs, data tables or flow charts may be used to be more vivid )
The applications can come form both the modelling result and the sensitivity analysis
do not use new terms in the analysis of further work


Attachments

Reference
(IEEE style?)

Appendices

Codes

Data Tables
the details

Figures


Sometimes a letter is required to be attached to certain person > use the result from the sensitivity analysis to give suggestions
Overall, the page limit is around 40 pages including three head pages, main body less than 23 pages and attachments.
Style and Layout
Before conducting your paper, you should check previous papers to get some basic idea of the layout.
The template could be found in the 'Tool' section of this article.
The paper should be:
 easy to understand so that the reader would not waste time on understanding English
 brief and concise
 good at cohesion and coherence
 in active voice, present tense, first plural person (we find that ...)
 of simple sentences and short graphs
Tips:
 No symbols in title. The title should get straight to the point.
 Mathematical symbols should be in Italics.
 In texts, mathematical symbols should be in words.
 $x,y$ is better than $x_1, x_2$ in understanding and memorising.
 Figures should be labelled and properly cites. Note that if no comment on a given figure, this figure would be meaningless.
 Mathematical equations should be considered as a part of the sentence.
Phrase bank
Verbs  seek, explore, design, devise, tackle, solve, approach, propose, 
Adding Ideas  Additionally, Furthermore, Another ..., Moreover, and, as well as, 
Further Explanation  result in, cause, as a result of, for example, consequently, as a consequence, namely, as an illustration, ... which means that, to be more precise, more specifically/precisely, to elaborate, as, to illustrate, 
Different Ideas  in contract, on the contrary, conversely, In comparation to, However, but, while, whereas, Nevertheless/Nonetheless, In particular, 
Connecting Ideas  starting with ..., ... so that ..., this means that ..., Once ..., to+verb ..., following that ..., which means ..., this leads to..., on completion of ..., when ..., after ..., this allows us to..., the next step ..., could be helpful in ..., fails to ..., the final stage ..., Additionally, However, Therefore, As an alternative to ..., Furthermore, [and the phrases above if needed] 
Adjectives  appropriate, proper, suitable, effective, feasible, valid, applicable, useful, beneficial, advantageous, incorrect, inappropriate, unsuitable, improper, important, significant, impractical, identical, resembling, same, functional, operative, challenging, demanding, malfunctional, faulty, timeconsuming, timewasting, specific, exact, definitive, explicit, precise, specialized highly, notably, greatly, abundantly, 
Describing Numbers  just under, less than, fewer than, well under, below, just above, more than, greater than, exceeding, over, surpassing, just, as few as [countable noun], as little as [uncountable noun] the amount of [countable noun], many, much, a considerable number of, a great amount of, 
Now  Nowadays, In recent years, Recently, Currently, 
Text Above  preceding, previous, former, prior, abovestated, before, 
Check UoM Academic Phrasebank to find more.
Tools
Codes
A basic editor: Notepad++
Latex
Though Overleaf is recommended as the editor, it does no harm to download a TeX Live on your PC. Instructions are given in Liam's blog.
There's a MCM/ICM template created by Zhaoli Wang and Liam Huang. Check their website to download. Instructions are given in Liam's another blog.
A brief intro to latex has been provide in overleaf, check this. By the way, I will probably write another blog on this. I will then post it here.
Table & Figure
python matlab
Finding Data
If possible, use a crawler.
The most powerful ~ simply Google it.
Or try Wikipedia.
Then,

Books: Library Genesis,

Scirelated: Google Scholar, CiteSeerX, ELSEVIER, Bielefeld Academic Search Engine, ideas, arXiv,

The Official Websites: MCM, UN, Datagov, Physical Science Laboratory,

Data Base: NYC,
You may also need a tool to scan texts: Tiantuoocr.
Collaboration Tools
Checking Grammar: Grammarly
Collaboratory Latex Editor & Compiler: Overleaf
Repository to Control Editions: Github
Markdown Editor: Typora
References
[1] Belanger , Wang Chieh . Write the thesis of mathematical modeling contest of American college students correctly ：Write right for the American mathematical contest in modeling[M]. Higher Education Press ,2013.
[3] https://www.zhihu.com/question/356442620/answer/902204735 author : Heretics platform : You know
[4] https://zhuanlan.zhihu.com/p/107590650 author : You were ever a pretty girl , platform : You know
[5] https://zhuanlan.zhihu.com/p/34183146 author : Zhang Haochi , platform : You know
[6] Academic Writing class provided by UESTCUoG.