Mathematics and Applied Mathematics
Analytic Geometry
This is an important foundation course for mathematics-related majors, and is the basis for many subsequent courses such as Advanced Geometry, Mathematical Analysis, Advanced Algebra, Elementary Geometry, Differential Geometry, Differential Equations, Functions of Complex Variables, Topology, etc. It is a required course for first-year undergraduate students in Mathematics. The basic contents of this course are: vectors and coordinates, trajectories and equations, plane and space lines, common special surfaces and quadratic surfaces, and general theory of quadratic surfaces (lines). The purpose of the course is to enable students to gradually improve their mathematical cultivation, especially their geometric literacy, to accumulate the basic knowledge needed for further study, to master the basic ideas and methods of geometry, to cultivate and exercise the quality of mathematical thinking, and to improve their analytical and problem-solving abilities through one semester of studying and training.
Mathematical Analysis
This is one of the most important professional foundation courses for mathematics and statistics majors in schools and universities. The course has the largest number of teaching hours (272 hours), a total of 17 credits, and is divided into 4 semesters of instruction. The basic content of this course includes systematic knowledge in limit theory, monomial function calculus, series theory, multivariable function calculus, etc. The ideas and methods of limit, a modern mathematical tool, are used to study the analytical properties of functions - continuity, differentiability. The limit method is the main line running through the whole course. Mathematical analysis is the most important professional foundation course for mathematics and applied mathematics majors, applied statistics majors, and information and computing science majors. It is the basis for further study of the theory of functions of a complex variable, differential equations, differential geometry, probability statistics, real analysis and generalized function analysis, and other subsequent courses. And it is one of the basic courses for the entrance examination of master's degree in mathematics.
Advanced Algebra
This is a traditional course in mathematics. Nowadays, when the disciplines within mathematics tend to be unified and mathematics is widely applied in other disciplines. Advanced Algebra, with its pursuit of a clear portrayal of the structure of the content and as a foundation for mathematical applications, is the main foundation course for all majors in college mathematics. It is a necessary foundation course for the application of mathematics in other disciplines and a core course for mathematical cultivation. Algebra is one of the important research directions of Sichuan University of Light and Chemical Engineering, and the research group and research results of algebra have certain influence in China. The construction of this course adheres to the human-oriented teaching concept and measures, and reforms the teaching methods in many ways to improve the quality of teaching continuously. The lectures highlight the basic ideas and methods of algebra and reveal the essential organic connection within the course. Focus on increasing the construction of the website of "Advanced Algebra" fine course, and continue to enrich the online content of the course in combination with the teaching process.
Mathematical Modeling
Mathematical modeling course is of great significance for the comprehensive implementation of the reform of undergraduate talent cultivation mode, actively carrying out the educational ideology of research-based teaching and exploratory learning, handing over the autonomy of learning to the students in a comprehensive way, paying attention to the teamwork spirit of the students, improving the comprehensive quality of the students, cultivating the innovative and top-notch talents, and cultivating the students' innovative thinking, creative consciousness and ability, and the construction and teaching of the course is as a way for the students to study Mathematical knowledge, cultivate students' practical and innovative ability, and improve students' mathematical application ability and comprehensive quality of the best combination.
Ordinary Differential Equations
This is a basic course with strong application for all majors in mathematics, which is one of the main bridges between mathematical sciences and practice, and is usually offered in the second year. The course of Ordinary Differential Equations plays an extremely important role in training students' mathematical thinking, application awareness and ability to analyze and solve practical problems. Ordinary Differential Equations introduces students to the fundamentals of the classical theory of ordinary differential equations, and trains them to apply what they have learned to solve some of the most important and fundamental differential equation problems arising in mathematical theory itself and in other disciplines. On the one hand, this course establishes the basic theory of ordinary differential equations itself, and prepares the students for its succeeding courses of mathematical physics equations, differential geometry, and generalized function analysis; on the other hand, it also lays the foundation for training students to connect theory with practice, to strengthen their ability to analyze problems, and to guide their studies with the viewpoint of dialectical materialism. It is one of the main bridges between mathematical science and practice.
Probability Statistics
Probability statistics is not only a discipline to study the statistical laws of random phenomena, but also an important tool for quantitative analysis of random phenomena, its theoretical methods and other branches of cross-penetration, is a modern natural discipline, economic disciplines, management disciplines and the field of big data is an important theoretical tool. With the popularization and improvement of applied statistical software, its application covers almost all fields of natural and social disciplines. This course is a golden key for statistics students to open the door of statistics, and it is also an important professional core course for mathematics and applied mathematics majors in higher education institutions.
Functions of Complex Variables
Functions of complex variables was created in the 19th century. It is one of the major courses in mathematics and applied mathematics, mathematics education, and information and computational science, the application and development of mathematical analysis and analytic geometry, and the basis for further study of complex analysis, multivariable function theory, complex dynamical systems and other subsequent courses, since the 20th century, the functions of complex variables have been widely used in the fields of theoretical physics, elasticity physics, and astrophysics, making the classical physics more and more interesting, and the complex function of complex variables has been widely applied in the fields of classical analysis, elasticity physics and astrophysics. Since the 20th century, complex functions have been widely used in theoretical physics, elasticity physics, astrophysics and other fields, which makes the classical complex function theory, such as the theory of integer functions and subpure functions, the marginal value of analytic functions and other new development, and opens up some new branches, such as the theory of approximation of complex functions, Riemann surfaces and so on. Through the study of complex functions, students can not only learn the basic theory of complex functions and mathematical physics and engineering technology in the commonly used mathematical methods, but also consolidate and review the basic knowledge of higher mathematics, improve mathematical literacy, and lay the necessary mathematical foundation for the study of relevant follow-up courses and further expanding the mathematical knowledge.
Modern Algebra
Recent algebra is a very active and rapidly developing discipline. it has many concepts and rich content. As a basic course, only the most basic concepts and basic content are chosen to teach due to limitation of teaching hours. Therefore, some textbooks calls it Fundamentals of Modern Algebra. Groups, rings, domains, and modes are the basic content of this course, which requires students to be proficient in the basic theory and methods of groups, rings, and domains, and have an understanding of the concept of modes. Recent algebra not only occupies and its important position in mathematics, but also has a wide range of applications in disciplines, such as theoretical physics, computer science and so on. The methods and ideas of its study have had a significant impact on subsequent courses such as Abstract Algebra, Commutative Algebra, Homotopy Algebra, Group Representation Theory, Algebraic Geometry, Algebraic Topology, and Liqun Li Algebra, which is the foundation of algebra.
Information and Computing Science
Mathematical Analysis
This is one of the most important professional foundation courses for mathematics and statistics majors in schools and universities. The course has the largest number of teaching hours (272 hours), a total of 17 credits, and is divided into 4 semesters of lectures. The basic content of this course includes systematic knowledge in limit theory, monomial function calculus, series theory, multivariable function calculus, etc. The ideas and methods of limit, a modern mathematical tool, are used to study the analytical properties of functions - continuity, differentiability, The limit method is the main line running through the whole course.
Advanced Algebra
Advanced algebra is a traditional course in mathematics. Nowadays, when the disciplines within mathematics tend to be unified and mathematics is widely applied in other disciplines, Advanced Algebra, with its pursuit of a clear portrayal of the structure of the content and as a foundation for mathematical applications, is the main foundation course for all majors in college mathematics. It is a necessary foundation course for the application of mathematics in other disciplines and a core course for mathematical cultivation. Algebra is one of the important research directions of Sichuan University of Light and Chemical Engineering, and the research group and research results of algebra have certain influence in China. The construction of this course adheres to the human-oriented teaching concept and measures, and reforms the teaching methods in many aspects to improve the teaching quality continuously. The lectures highlight the basic ideas and methods of algebra and reveal the essential organic connection within the course. Focus on increasing the construction of the website of the "Higher Algebra" fine course, and continue to enrich the online content of the course in combination with the teaching process. Produce multimedia courseware, combining board books and multimedia courseware organically.
Python Language and Data Analysis I
As a first-year professional foundation course of Information and Computing Science, aiming at improving students' professionalism, the course provides an overview of network programming. This course is the gateway to becoming a "programmer", and you will learn the basics of programming. This phase will start from beginning and make progress step by step. By the end of this phase, you will have mastered variables, data types, control statements, containers, functions, and object orientation. The tutorial is interspersed with some interesting cases to teach and arouse interest.
Probability Theory and Mathematical Statistics
Probability theory and mathematical statistics is a mathematical discipline that studies the objective regularity of a large number of random phenomena, which has been widely used in industrial and agricultural production and science and technology, and is an important basic theoretical course in the teaching program of higher education. Through the teaching of the undergraduate program, students master the basic concepts of probability theory and mathematical statistics, understand its basic theories and methods, so that students initially grasp the basic ideas and methods of dealing with random phenomena, the teaching process focuses on stimulating students' interest in learning, cultivating students' ability to learn independently as well as the scientific spirit of the courage to explore, and stimulating the students' courage to innovate and the ideals of service to society. Insisting on the principle of combining knowledge transfer and value, based on the universality of the laws of mathematics teaching, integrating the elements of curriculum ideology and politics, guiding students to practice core values, and cultivating students to become builders and pioneers with both moral competence and all-round development.
Big Data Machine Learning I
The course, as a compulsory course for second-year majors in Information and Computing Science, aims to enhance students' professionalism and lay the foundation for big data artificial intelligence learning. Firstly, it explains the application of artificial intelligence, the workflow of artificial intelligence, basic concepts, the task and nature of artificial intelligence, and understanding what artificial intelligence can do; secondly, it explains the Numpy scientific computing module and Pandas data analysis module involved in the piece of algorithm; next, it explains the loss function of the multivariate linear regression algorithm from deriving the loss function of the multivariate linear regression algorithm to realizing the development and application of the algorithm, and then it explains the algorithm from the Next, from the derivation of the multivariate linear regression algorithm, to the implementation of the development and application of the algorithm, to the algorithm from the data preprocessing, as well as the optimization of the loss function will be thoroughly mastered. For the later learning more algorithms, even deep learning will play the effect of learning. There will be an in-depth knowledge of classification algorithms, which is crucial for understanding the subsequent neural network algorithms and deep learning.
Algorithms and Data Structures
This is a core course for Information and Computing Science majors, which lays the foundation for students to further study courses such as Operating Systems, Compilation Principles and Databases. The course focuses on how to effectively organize, represent and process data when applying computers to solve problems, as well as how to design correct algorithms and evaluate the efficiency of algorithms. The course is organized with data structures as the main line and algorithms as the secondary line. The main contents include linear tables, strings, stacks, queues, binary trees, sets, dictionaries, and sorting. The main purpose of the course is to enable readers to comprehensively understand the concepts of data structures and algorithms, master the main principles and methods of designing data structures and algorithms, compare the characteristics of different data structures and algorithms, and improve students' ability to solve problems using computers through study and practice.
Numerical Computing Methods
This is a core course for information and computational science majors, mainly teaching the basics of numerical analysis, including the concepts and principles of numerical analysis, as well as a variety of numerical methods, such as interpolation, function approximation, curve fitting, numerical integration, numerical differentiation, solving systems of linear equations by the direct method, iterative method, the dichotomous method for finding the roots of nonlinear equations, Newton's iterative method, and numerical solution of equations, such as the characteristics and applicability of various algorithms. Through the study of this course, students can master the principles of related algorithms, laying an important foundation for their further study of courses related to scientific computing theory.
Discrete Mathematics
Discrete mathematics is an elective course for mathematics and applied mathematics majors, and it is also a core course for information and computational science majors. It is a very wide range of mathematics, which is not only one of the important basic theories in computer science, but also a core course for cultivating students' meticulous thinking and improving their quality. Through the study of discrete mathematics, not only can you master the description tools and methods for dealing with discrete structures, creating conditions for the study of subsequent courses, but also can improve abstract thinking and strict logical reasoning ability, laying a solid foundation for future participation in innovative research and development work.
Database Technology (MySQL)
Database technology is an important branch of computer science and technology and an important support in information technology. As a core compulsory course for Information and Computing Science majors, it provides the necessary foundation for the courses such as Web program development and Android mobile application development in the later sequence. The course is centered on actual development projects (student management system), both theoretical and practical, and comprehensively introduces database design and application of various knowledge and skills required for database development. The course enables students to quickly and comprehensively master MySQL database management and development techniques.
Mathematical Modeling
Mathematical modeling course is of great significance for the comprehensive implementation of the reform of undergraduate talent cultivation mode, actively carrying out the educational ideology of research-based teaching and exploratory learning, handing over the autonomy of learning to students comprehensively, focusing on the teamwork spirit of the students, improving the comprehensive quality of the students, cultivating innovative and top-notch talents, and cultivating the innovative thinking, creative awareness and ability of the students, and making the construction and teaching of this course as a part of the student's study of Mathematical knowledge. It cultivates students' practical and innovative ability, improve students' mathematical application ability and comprehensive quality of the best combination.
Applied Statistics
Mathematical analysis
This is one of the most important professional foundation courses for mathematics and statistics majors in schools and universities. The course has the largest number of teaching hours (272 hours), a total of 17 credits, and is divided into 4 semesters. The basic content of this course includes systematic knowledge in limit theory, monomial function calculus, series theory, multivariable function calculus, etc. The ideas and methods of limit, a modern mathematical tool, are used to study the analytical properties of functions - continuity, differentiability, The limit method is the main line running through the whole course. Mathematical analysis is the most important professional foundation course for mathematics and applied mathematics majors, applied statistics majors, information and computing science majors. It is the basis for further study of the theory of functions of a complex variable, differential equations, differential geometry, probability statistics, real analysis and generalized function analysis, and is one of the basic courses for the entrance examination of master's degree in mathematics.。
Advanced Algebra
This is a traditional course in mathematics. Nowadays, when the disciplines within mathematics tend to be unified and mathematics is widely applied in other disciplines, Advanced Algebra is the backbone basic course for all majors in college mathematics for its pursuit of clear portrayal of the structure of the content and as the foundation of mathematical applications. It is a necessary foundation course for the application of mathematics in other disciplines and a core course for mathematical cultivation. Algebra is one of the important research directions of Sichuan University of Light and Chemical Engineering, and the research group and research results of algebra have certain influence in China. The construction of this course adheres to the human-oriented teaching concept and measures, and reforms the teaching methods in many aspects to improve the teaching quality continuously. The lectures highlight the basic ideas and methods of algebra and reveal the essential organic connection within the course. Focus on increasing the construction of the website of "Advanced Algebra" fine course, and continue to enrich the online content of the course in combination with the teaching process.
Analytic geometry
This is an important basic course for mathematics-related majors, and it is the foundation for many subsequent courses such as advanced geometry, mathematical analysis, advanced algebra, elementary geometric studies, differential geometry, differential equations, functions of a complex variable, topology, etc. It is a compulsory course for first-year undergraduates in mathematics.
The basic contents of this course are: vectors and coordinates, trajectories and equations, plane and space lines, common special surfaces and quadratic surfaces, and general theory of quadratic surfaces (lines). The purpose of the course is to enable students to gradually improve their mathematical cultivation, especially their geometric literacy, to accumulate the basic knowledge necessary for engaging in further study, to master the basic ideas and methods of geometry, to cultivate and exercise the quality of mathematical thinking, and to improve their analytical and problem-solving abilities through one semester of studying and training.
Probability Statistics
Probability statistics is a discipline to study the statistical laws of random phenomena, but also an important tool for quantitative analysis of random phenomena, its theoretical methods and other branches of the cross-penetration of each other, is a modern natural discipline, economic disciplines, management disciplines and the field of big data is an important theoretical tool. With the popularization and improvement of applied statistical software, its application covers almost all fields of natural and social disciplines. This course is a golden key for statistics students to open the door of statistics, and it is also an important professional foundation course for the graduate admission examination of various majors in economics and management and data analysis.
Multivariate statistical analysis
Multivariate statistical analysis is a field of statistics that studies analysis and inference on multidimensional data sets. It involves a variety of statistical methods and techniques for understanding and interpreting relationships between different variables in data, as well as making predictions and inferences across multiple variables. This course is typically offered in higher education in the fields of statistics, social sciences, biological sciences, and engineering, and is designed to develop students' ability to perform in-depth analyses on complex data sets.
Multivariate statistical analysis is not only a technical course, it also has a profound ideological significance. In the process of data processing and interpretation, students develop a sense of data ethics and social responsibility, and understand the impact of data on society and individuals. At the same time, the course also educates students on how to remove subjective bias from objective data, and enhances their critical thinking and logical analysis skills. By solving real-world problems, students will develop their data-driven decision-making skills and contribute to social governance and development.
Sample Survey
This course focuses on the basic theory, methods, characteristics and application scope of sampling survey, introduces common sampling techniques and their applications in detail, and briefly introduces popular sampling methods such as unequal probability sampling method, knife-cut method, self-help method and multiple sampling method. The course emphasizes "sampling techniques based on the characteristics of the problem", based on the introduction of conventional sampling techniques to achieve the process and characteristics, through detailed and vivid cases, the use of modern statistical methodology to design the sampling survey program and analysis of data.
Regression Analysis
Regression analysis is a very important branch of statistics, which is based on probability theory and mathematical statistics, and mainly analyzes and deduces the statistical data of random phenomena. This course introduces the theory of regression analysis, highlights the application of practical cases and the penetration of statistical ideas, and combines with statistical software to introduce the application of regression analysis in a comprehensive and systematic way.
Time Series Analysis
Time series analysis is an important branch in the field of modern statistics and data science, aims to study the data patterns, trends and periodicity over time. With the widespread use of big and complex data in various fields, time series analysis has become a key tool for forecasting, decision-making and trend analysis. This course will guide students to explore the characteristics and methods of time series data in depth, and develop their ability to use time series analysis for forecasting and analysis in real-world problems.
Statistical Computing and Application Software
This is a specialized course for undergraduate students majoring in statistics. The course mainly introduces the application and operation of the internationally popular statistical analysis software R, which is the improvement and supplement to the teaching of the statistical theory course. the R statistical software is characterized by easy operation, beautiful output and complete functions, and it has been widely used in various fields and industries. The course content includes descriptive statistics, statistical plotting, mean analysis, correlation and regression, parametric test, non-parametric test, analysis of variance, etc. Students are required to take a basic computer course. Students are required to take a basic computer course.
Statistical Modeling
This is a professional foundation course for undergraduate majors in applied statistics, which includes the general steps of statistical modeling, classical statistical modeling methods, statistical modeling examples of applications, and statistical modeling software used in the introduction. This course focuses on statistical theory as the basis. In the illustration of the basic concepts of statistics at the same time, the R software as an auxiliary means of calculation and the introduction of statistical calculation methods, can effectively solve the calculation problems in statistics. Through providing a scientific, accurate and comprehensive introduction to the R software in conjunction with mathematical and statistical problems, students can deeply understand the essence of the software and the flexible and efficient techniques of using it. It introduces a wealth of statistical problems and their statistical modeling methods in various aspects of engineering, technology, economic management, and social life, and solves the constructed models by means of the R software, so that students majoring in statistics can obtain comprehensive training from the modeling of actual problems to solving them by using the software, as well as analyzing the results of the calculations.
