多體物理導(dǎo)論課程教學(xué)大綱-資料下載頁(yè)
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【正文】 單位：數(shù)統(tǒng)學(xué)院三十四、 授課教師：龔劬教授、肖劍副教授等10位課程描述（200300字左右）：本課程以專題講座形式講述數(shù)學(xué)及交叉學(xué)科建模的基本方法及應(yīng)用，也是重慶大學(xué)組織“高教社杯”全國(guó)大學(xué)生數(shù)學(xué)建模競(jìng)賽的培訓(xùn)課程。具體內(nèi)容包括參數(shù)與非參數(shù)檢驗(yàn)及其應(yīng)用案例，SPSS軟件，方差分析，判別分析，人工神經(jīng)元網(wǎng)絡(luò)，DNA序列分類問(wèn)題，時(shí)間序列模型，排隊(duì)論模型，離散與連續(xù)優(yōu)化，LINGO軟件，DVD在線租賃，智能算法，最短路徑、TSP問(wèn)題算法及實(shí)現(xiàn)，網(wǎng)絡(luò)流問(wèn)題及算法，數(shù)字圖像處理及應(yīng)用，偏微分方程模型，模糊分類、識(shí)別和評(píng)判；灰色系統(tǒng)與灰色模型，校賽、國(guó)賽優(yōu)秀論文點(diǎn)評(píng)及討論等。許多案例還緊扣當(dāng)今科技發(fā)展前沿、國(guó)家和地方戰(zhàn)略需求、社會(huì)熱點(diǎn)問(wèn)題。該課程的目的是開(kāi)拓學(xué)生的知識(shí)面，提高同學(xué)們學(xué)習(xí)和應(yīng)用數(shù)學(xué)解決實(shí)際問(wèn)題的興趣與能力，培養(yǎng)學(xué)生的數(shù)學(xué)建模與多學(xué)科建模能力、創(chuàng)新精神及合作意識(shí)，提高科研能力。三十五、 教學(xué)目標(biāo)（需明確各教學(xué)環(huán)節(jié)對(duì)人才培養(yǎng)目標(biāo)的貢獻(xiàn)，是社會(huì)審核式評(píng)估所要求的）知識(shí)貢獻(xiàn)：增加學(xué)生現(xiàn)代統(tǒng)計(jì)、時(shí)間序列分析、排隊(duì)論、模糊數(shù)學(xué)、優(yōu)化、智能算法、圖論、偏微分方程、模糊數(shù)學(xué)等方面知識(shí)能力貢獻(xiàn)：增強(qiáng)學(xué)生數(shù)學(xué)及交叉學(xué)科建模能力、相關(guān)計(jì)算能力和軟件編程能力。素質(zhì)貢獻(xiàn)：科學(xué)素養(yǎng)，創(chuàng)新意識(shí)，合作精神三十六、 教學(xué)方法：課堂講授三十七、 考核及成績(jī)?cè)u(píng)定方式：建模論文三十八、 教材/參考書(shū)目：1. 司守奎等，數(shù)學(xué)建模算法與應(yīng)用，國(guó)防工業(yè)出版社，2011年。2. 謝金星等，優(yōu)化模型及LINDO/LINGO軟件，清華大學(xué)出版社，2005年。3. 韓中庚，數(shù)學(xué)建模方法及應(yīng)用，高等教育出版社，2005年。4. 陳超等，SPSS常用功能與應(yīng)用實(shí)例精講，電子工業(yè)出版社，2009年。 《Mathematical andInterdisciplinaryModeling》Syllabus1. Course Title：Mathematical andInterdisciplinaryModeling2. Course Code：3. Class Hours and Credits：324. Course Type：Innovation practice5. Target Students：Year 2 and above/Science and Engineering majors6. Prerequisite：Advanced Mathematics, Linear Algebra7. Department/School: School of Mathematics and Statistics8. Instructor(s): Prof. Qu Gong and 10 Other9. Course Description (200300 words)：This course focuses on the basic methods and applications of mathematics and interdisciplinary modeling in the form of special lectures. It is also a training course organized by Chongqing University to organize the “Higher Education Community Cup” national mathematical modeling contest for undergraduate students. Specific topics include parametric and nonparametric tests and their application cases, SPSS software, variance analysis, discriminant analysis, artificial neural network, DNA sequence classification, time series models, queuing theory models, discrete and continuous optimization, LINGO software, DVD online Leasing, intelligent algorithm, shortest path, TSP problem algorithm and implementation, network flow problems and algorithms, digital image processing and application, partial differential equation model, fuzzy classification, identification and evaluation。 gray system and gray model, excellent in school petition, national petition Paper reviews and discussions. Many cases are also closely linked to the current development of science and technology, national and local strategic needs, and social hot issues. The purpose of the course is to develop students’ knowledge, improve students’ interest and ability in learning and applying mathematics to solve practical problems, and develop students’ mathematical modeling and multidisciplinary modeling capabilities, innovative spirit and cooperative awareness, and improve scientific research capabilities.10. Course Objectives：Knowledge：Increase student knowledge in modern statistics, time series analysis, queuing theory, fuzzy mathematics, optimization, intelligent algorithms, graph theory, partial differential equations, fuzzy mathematics, etc.Ability：Enhance student mathematics and interdisciplinary modeling capabilities, related puting capabilities, and software programming capabilities.Qualities：Scientific literacy, innovation awareness, cooperation spirit11. Teaching Methods：Classroom teaching12. Student Assessment Methods：modeling paper13. Textbook/Reading List：Shoukui Si, Mathematical modeling algorithm and application, National Defense Industry Press, 2011.Jinxing Xie et al., Optimization Model and LINDO/LINGO Software, Tsinghua University Press, 2005.Zhonggeng Han, Mathematical Modeling Methods and Applications, Higher Education Press, 2005.Chao Chen, et al., SPSS Commonly Used Functions and Application Examples, Electronic Industry Press, 2009.
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