Course code ：
Course title：Applied Mathematics for Library
and Information Science
Ⅰ. scheduled total credits： 24 （experiments: 0 credits） credits： 2 term：Ⅱ
Teaching method：PPT/Case study
Assessment method：Essay Report
Ⅱ.Compatible Major：Library, Information and Archive Management Science
Ⅲ.Prerequisite course：Advanced Mathematics; Foundation of Library Science; Intelligence Theory Research
Ⅳ.OBJECTIVE：
This course mainly introduces the application of mathematical methods to characterize and analyze knowledge organization, bibliometrics and user behavior in library and information science, including the basic knowledge of higher mathematics, mathematical statistics, knowledge organization, retrieval language model, intelligence analysis, bibliometrics laws, users’ data analysis and more. So that graduate students can master the basic mathematical methods applied to the research and practice of library and information, and it lays a solid foundation for improving the level of graduate students’ quantitative research.
Ⅴ.Content of the Syllabus and the Scheduled Study Hours:
Chapter I Advanced Mathematics Foundation (I) （2 credits hours）
1．Single variable differential calculus
2．Single variable integral calculus
3．Infinite series
Chapter II Advanced Mathematics Foundation (II) （2 credits hours）
1．Linear equations
2．Determinants
3．Matrix
4．Vector space
Chapter III Applied Mathematical Statistics (I) （2 credits hours）
1．Statistics
2．Sampling distribution
3．Parametric estimation
4．Hypothesis testing
Chapter IV Applied Mathematical Statistics (II) （2 credits hours）
1．Analysis of variance
2．Regression analysis
3．Time series
Chapter V Literature and Knowledge Modeling （2 credits hours）
1．Data, information and knowledge
2．Metadata
3．Literature organization
4．knowledge organization
Chapter VI Natural Language Understanding （2 credits hours）
1．Natural language composition
2．Lexical analysis
3．Semantic analysis
Chapter VII Relationship Model （2 credits hours）
1．Relational data structure and definition
2．Relational algebra
3．Relationship evolution
4．Relational data
Chapter VIII Mathematical Model of Information System （2 credits hours）
1．Concept space
2．Algebraic model of retrieval system
3．Collection model of retrieval system
4．Probabilistic model of retrieval system
Chapter IX Mathematical Modeling of Retrieve Language and Its Application (2 credits hours）
1．Mathematical model of theme methods
2．Mathematical model of taxonomy
3．The application of mathematical model of retrieval language
Chapter X Library Resource Evaluation （2 credits hours）
1．Paper resource statistics
2．Electronic resources statistics
3．Performance evaluation of book resources
Chapter XI Library Service Evaluation （2 credits hours）
1．Open time design and evaluation
2．People counting to library
3．Service satisfaction survey
Chapter XII The Theory and Application of Bibliometrics （2 credits hours）
1．The mathematical basis of bibliometrics
2．The theory and application of Bradford's law
3．The theory and application of Zipf's law
Experiment：None
Ⅵ.Teaching Materials and Reference Books：
1.Zou xiaoshou,Wang xiaofeng,Deng luohua.Applied mathematics for LIS[M].Peking:China National Library Press,2012.
2.Chen heping.Quantitative Management in Library[M].Chendu:Southwest Jiaotong University Press,1989.
3.Tan guolv.Higher Mathematics of Liberal Arts[M].Peking:Beihang University Press,2009.
4.Yan dagui, Yan shang’an.Applied Mathematics for Engineering graduate students[M].Peking,Higher Education Press,2001.
Ⅶ.Teaching team：Zhang Xiaoyang; Wang Xiuhong; Liu Haijun
Ⅷ.the Author who write the Syllabus：Zhang Xiaoyang
Notice to fill out the form：
1.Fill out the term in which to open the course with Ⅰor Ⅱ
2.Teaching Method：Class teaching、Class teaching and Seminar、Seminar、Others，Please make it clear which kind of method if it belongs to Others
3.Assessment Method：Exam(Open、Close），Essay Report，Others，Please make it clear which kind of method if it belongs to Others
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