Engineering mathematical analysis
Course code: n1120011-kloc-0/2.
Course Name: Engineering Mathematical Analysis
Mathematical analysis of technology.
Total study time: 180
Teaching time: 150
Exercise class: 30 hours
Academic performance: 12.5
Starting unit: Department of Mathematics, Faculty of Science
Teaching target: all first-year undergraduates majoring in engineering in the whole school.
Prerequisite: Linear Algebra (Grade One 1 semester finished)
Teaching materials:
1. Engineering Mathematical Analysis (I and II), Higher Education Press, 2003, 2nd Edition.
2. Engineering Mathematical Analysis (I and II), Science Press, 200 1 year.
Reference book:
1. Calculus course, Han, Beijing: Tsinghua University Publishing House, 1999.
2. Basis of Engineering Mathematical Analysis, Ma Zhien, Wang Miansen. Beijing: Higher Education Press, 1998.
3. Advanced Mathematics (4th Edition), Tongji University, Beijing, Higher Education Press.
4. Solving problems in advanced mathematics, undergraduate group of engineering course teaching steering committee in colleges and universities, Beijing Higher Education Press, 1992.
5. Swarkowski. Calculus (5th) Boston. PWS Kent
6. The typical problems of advanced mathematics are elaborated in Korean. Dalian: Dalian University of Technology Press, 200 1 year.
7. Mathematical analysis, Chen Jixiu, Yu,. Beijing: Higher Education Press, 200 1.
8. A concise course of mathematical analysis, Deng Dongguang, Yin Xiaoling. Beijing: Higher Education Press, 200 1 year.
Content summary:
Engineering mathematical analysis is a very important basic course of natural science for engineering majors in colleges and universities. Among them: function, limit and continuity, derivative and differential, differential mean value theorem, indefinite integral, definite integral, application of derivative and definite integral, differential equation, multivariate function differential calculus, multivariate function integral, the second kind of curve integral and the second kind of surface integral, vector field, infinite series, the above twelve chapters are required contents. Elective courses include: the preliminary of complex variable function, the basic knowledge of differential geometry, etc. These are the main contents of this course.
Linear Algebra and Spatial Analytic Geometry
Course code: N 120030
Course Name: Linear Algebra and Spatial Analytic Geometry
English name of the course: Linear Algebra and Analytic Geometry
Total study time: 60
Teaching time: 50 hours
Exercise class: 10
Academic score: 4
Starting unit: Department of Mathematics
Teaching object: engineering major.
Textbook: Linear Algebra and Spatial Analytic Geometry (2nd Edition), Zheng and Deng Tingquan, Higher Education Press, 2003.
Reference book:
1. Linear Algebra (3rd Edition), Mathematics Teaching and Research Section of Tongji University, Higher Education Press, 1998.
2. Linear Algebra and Spatial Analytic Geometry, Yu et al., Tsinghua University Publishing House, 1998.
3. Linear Algebra and Its Applications, Xie, Higher Education Press, 1999.
4. Linear Algebra, Larry, Smith, Spring Press, 1977
Content summary:
Linear algebra and spatial analytic geometry is a very important basic course of natural science for engineering majors in colleges and universities. In the part of linear algebra, algebraic methods are mainly used to study mathematical objects with linear relations and establish the corresponding theoretical system, which is very logical and abstract; The part of space analytic geometry mainly establishes the relationship between space geometry and equation through coordinate system, and studies the properties of space geometry with algebraic theory. Spatial analytic geometry provides background and examples for linear algebra. As two components of a course, Linear Algebra and Spatial Analytic Geometry permeate and support each other. Because linear problems exist widely in all fields of science and technology, and many nonlinear problems can be transformed into linear problems under certain conditions, the basic methods introduced in this course are widely used in all fields of science and technology.
Probability and mathematical statistics
Course code: N 1 120050
Course Name: Probability Theory and Mathematical Statistics
English name of the course: probability theory and mathematical statistics
Total study time: 50
Teaching time: 40 hours
Exercise class: 10
Academic score: 3
Starting unit: Department of Mathematics
Teaching objectives: engineering undergraduates
Prerequisite courses: engineering mathematical analysis, linear algebra and spatial analytic geometry.
Textbook: Probability Theory and Mathematical Statistics, edited by Xu Chengde and Wang Yong, Science Press, 2000.
reference book
1. Probability Theory and Mathematical Statistics, Xu Chengde, Wang Yong, Science Press, 200 1.
2. Probability Theory and Mathematical Theory, Mathematics Department of Zhejiang University, Higher Education Press, 1979.
3. Guide to Probability and Statistics, Zhang Xin, Science and Technology Literature Publishing House, 2000
4. Probabilistic Theory and Mathematical Statistics Problem Set, Chen Kui, National School of Administration Press, 200 1.
Content summary:
Axiomatic definitions of random events, relations and operations of events, classical probability, geometric probability, statistical probability and probability; Conditional probability and independence: repeated independent test, binomial probability formula; The concept of random variable, discrete random variable, distribution function of random variable, continuous random variable, normal distribution and distribution of random variable function; Multidimensional random variables and their distribution functions, edge distribution functions, two-dimensional discrete random variables, two-dimensional continuous random variables, independence of random variables, distribution and conditional distribution of two-dimensional random variable functions; Mathematical expectation, variance, covariance and correlation coefficient, moment, two-dimensional normal distribution, law of large numbers, central limit theorem; Basic concepts of mathematical statistics; Point estimation and interval estimation; The basic concept of hypothesis test, the significance test of single normal population parameter, and the significance test of two normal population parameters.
Engineering drawing (CAD)
Course number: T 108096 1-2
Course Name: Engineering Drawing (CAD)
English name of the course: Engineering Drawing (CAD)
Total class hours: 90
Teaching time: 90 hours
Exercise category: (48)
Computer time: (12)
Credit: 5
Starting unit: Engineering Graphics Teaching and Research Department of Mechanical and Electrical College
Lecturer: School of Civil Engineering, School of Environment and Municipal Engineering, School of Communications, School of Management, etc.
Prerequisite courses: engineering mathematical analysis, computer foundation
Course type: required course
Semester: the first semester (30 hours) and the second semester (60 hours).
Textbook: (1) Descriptive Geometry, edited by Jia Hongbin and Qian Xiaoming, Harbin Map Publishing House, 1999.
(2) Civil Engineering Drawing, edited by Wang Shu 'an and Dong, Harbin Map Publishing House, 1999.
(3) AutoCAD 20000 Computer Drawing Course, edited by Wu Peinian and Xi Jianjun, Heilongjiang People's Publishing House.
Reference book:
(1) Civil Engineering Drawing, edited by Gu Shande and Xu Zhihong, Tongji University Press.
② Descriptive Geometry, edited by Huang Shuisheng, South China University of Technology Press.
(3) Civil Engineering Drawing, edited by Li Guosheng, South China University of Technology Press.
④ Descriptive Geometry and Civil Engineering Drawing, edited by Lin Guohua, People's Communications Publishing House.
(5) Descriptive Geometry and Civil Engineering Drawing, edited by Cao Baoxin, China Building Materials Industry Press.
(6) AutoCAD 2000 Architectural Drawing and Modeling Technology, edited by He, South China University of Technology Press (7) AutoCAD 2000 Engineering Drawing, edited by Zhou, South China University of Technology Press.
(8) The Application of AutoCAD 2000 in Architecture and Interior Design, edited by Xue Xihao, Tsinghua University Publishing House.
(AutoCAD 2000 Architectural Drawing Examples and Skills, edited by Li Taihe, Aviation Industry Press.
(10)AutoCAD 2000 Detailed solution of architectural and civil engineering drawing exercises, edited by Liu, People's Posts and Telecommunications Publishing House.
(11) AutoCAD 2000 3-D modeling and in-depth application guide of all-in-one experiment, edited by Li Qiyan, Tongji University Press.
Content summary:
Basic knowledge of projection, point projection, straight line projection, plane projection, essence and method of projection transformation, surface transformation method, legislative projection, intersection of plane and solid, intersection of plane and solid, intersection of two surfaces, basic knowledge of axonometric projection, oblique axonometric projection, and circular axonometric projection.
The basic provisions of drawing, the use of drawing tools and instruments, geometric drawing, general methods and steps of drawing, basic views and auxiliary views, assembly views, assembly dimensions, assembly drawings, cross-sections, profiles and regulations.
Building construction drawing: general plan, building plan, building elevation, building section and building detail. Structural construction drawing (School of Civil Engineering), indoor and outdoor water supply and drainage engineering drawing (School of Municipal Engineering and Environment), and highway engineering drawing (School of Communications Science and Engineering).
Basic knowledge of computer drawing, AutoCAD foundation, AutoCAD basic drawing function, AutoCAD advanced drawing function, drawing examples.