A function and limit
Constants and variables
function
Simple behavior of function
inverse function
Elementary function
Sequence limit
functional limit
Infinite quantity and infinite quantity
Comparison of infinitesimal quantities
Functional continuity
Properties of continuous functions and functional continuity of elementary functions
Second derivative and differential
The concept of derivative
Derivation rule of sum and difference of functions
Derivation rule of product sum quotient of functions
Derivation rule of compound function
Inverse function derivation rule
higher derivative
Implicit function and its derivative rule
Differential of function
Application of the third derivative
Differential mean value theorem
Uncertain problem
Determination of monotonicity of function
Extreme value of function and its solution
Maximum and minimum values of functions and their applications
Concave direction and inflection point of curve
Four indefinite integrals
Concept and properties of indefinite integral
The method of finding indefinite integral
Examples of several special function integrals
Five definite integrals and their applications
The concept of definite integral
Integral formula of calculus
Partial substitution integral method for definite integral
Generalized integral
Six-space analytic geometry
Space rectangular coordinate system
Direction cosine and direction number
Plane and spatial straight line
Surfaces and space curves
Differential calculus of seven-element function
The concept of multivariate function
Limit and continuity of binary function
partial derivative
complete differential
Derivation method of multivariate composite function
Extreme value of multivariate function
Octal function integral calculus
The Concept and Properties of Double Integral
Calculation method of double integral
The concept of triple integral and its calculation method
Nine ordinary differential equations
Basic concepts of differential equations
Differential equation and homogeneous equation of separable variables
linear differential equation
Degradable higher order equation
Structure of solutions of linear differential equations
Solution of second-order homogeneous linear equation with constant coefficients
Solution of second-order non-homogeneous linear equation with constant coefficients
Ten infinite series
The Concept and Properties of Series
Convergence of positive series
Convergence criteria of general constant series
Function term series and power series
Expansion of power series of functions
Engineering mathematics:
Engineering mathematics is a general term for several kinds of mathematics. After studying advanced mathematics, engineering freshmen should learn mathematics such as integral transformation, complex variable function, linear algebra, probability theory and field theory according to their own majors, which belongs to engineering mathematics. Engineering mathematics is to let engineering students use more convenient theoretical tools to deal with common engineering problems.
Specialized Mathematics Course (Zhejiang University)
06 1 100 10 mathematical analysis (1) I compulsory natural science.
06 1 10020 mathematical analysis (1) 2 compulsory natural science
06 1 10030 mathematical analysis (1) ⅲ compulsory natural science
06 1 1007 1 Advanced Algebra I is a compulsory course in natural science.
06 1 1008 1 Advanced Algebra Ⅱ is a compulsory natural science course.
06110131ordinary differential equation (I) is a compulsory course in natural science.
06 1 10 180 complex variable function is a compulsory course in natural science.
06 1 10 190 real variable function is a compulsory course in natural science.
06 1 102 10 analytic geometry is a compulsory course in natural science.
06111041college physics (1) I am a compulsory course in natural science.
06111051college physics (1) and 2) are compulsory natural science courses.
06 1 1 1080 college physics experiment is a compulsory natural science course.
06 1 1203 1 Compulsory natural science for general chemistry
Chemical experiment is a compulsory natural science course.
06 120 120 Abstract algebra is a compulsory natural science course.
06 1204 10 probability theory is a compulsory course in natural science.
06 12 1 100 partial differential equation is a compulsory natural science.
06 12 1 170 frontier mathematics seminar is a compulsory course in natural science.
06 12 1530 differential geometry is a compulsory natural science course.
06 122360 mathematics software compulsory natural science class
06 122550 compulsory natural science in the history of mathematics
06 122560 Mathematics Practice Required Natural Science
06 189030 graduation thesis required other courses
3111001/required engineering technology of university computer foundation
3 1 1 10030 C Programming Foundation and Engineering Technology Required for Experiments
04 1000 10 College Chinese is limited, with a group of 02 and a credit requirement of 2 humanities.
04 10002 1 college writing is limited, group: 02, credit requirements: 2 humanities.
0 1 1000 10 limited selection of modern economics, group: 03, credit requirements: 2 social sciences.
20 1000 10 Modern management foundation is limited, group: 03, credit requirements: 2 social sciences.
07 1000 10 introduction of life science and biotechnology co., ltd, group: 04, credit requirements: 2 natural sciences.
07 105 1 10 limited selection of life science introduction experiment, group: 04, credit requirements: 2 natural sciences.
14 1000 10 restricted environment and human civilization, group: 04, credit requirements: 2 social sciences.
06 19 1040 differential manifold system, group: 0 1, credit requirement: 30.5 natural science.
06 19 1050 riemann geometry department, group: 0 1, credit requirements: 30.5 natural sciences.
06 19 1060 department of group theory, group: 0 1, credit requirements: 30.5 natural science.
06 19 1070 department of metrology theory, group: 0 1, credit requirements: 30.5 natural science.
06 19 1080 algebraic topology system, group: 0 1, credit requirements: 30.5 natural science.
06 19 1090 modern partial differential equation system, group: 0 1, credit requirement: 30.5 natural science.
06191/introduction to the department of geometric analysis, group: 0 1, credit requirement: 30.5 natural science.
0619110 Introduction to Algebra and Geometry Department, Group: 0 1, Credit Requirements: 30.5 Natural Science.
06 19 1 160 database system, group: 0 1, credit requirements: 30.5 engineering and technology.
06 19 1 170 data structure department, group: 0 1, credit requirements: 30.5 engineering and technology.
06 19 1 180 software design methodology department, group: 0 1, credit requirements: 30.5 engineering and technology.
06 19 1200 national economic statistics department, group: 0 1, credit requirements: 30.5 social sciences.
06 19 12 10 experimental design department, group: 0 1, credit requirement: 30.5 natural science.
06 19 1230 Department of Monetary Banking, group: 0 1, credit requirements: 30.5 Social Sciences.
06 19 1240 actuarial department, group: 0 1, credit requirements: 30.5 natural sciences.
06 19 1250 department of modern probability theory, group: 0 1, credit requirements: 30.5 natural science.
06 19 1260 department of statistical computing and SAS software, group: 0 1, credit requirement: 30.5 natural science.
06 19 1270 department of statistical prediction and decision-making, group: 0 1, credit requirement: 30.5 natural science.
06 19 1320 department of fuzzy mathematics, group: 0 1, credit requirements: 30.5 natural science.
06 19 1330 department of reliability analysis, group: 0 1, credit requirements: 30.5 natural science.
06 19 1340 department of operations, group: 0 1, credit requirements: 30.5 natural sciences.
06 19 1350 optimization department, group: 0 1, credit requirements: 30.5 natural science.
06 19 1370 department of environmental theory, group: 0 1, credit requirements: 30.5 natural sciences.
06 19 1380 department of number theory instruction, group: 0 1, credit requirements: 30.5 natural science.
06 19 1390 department of risk management, group: 0 1, credit requirements: 30.5 social sciences.
06 19 1400 department of applied statistical analysis, group: 0 1, credit requirements: 30.5 natural sciences.
06 19 14 10 department of medical statistics, group: 0 1, credit requirements: 30.5 natural sciences.
06 19 142 1 visual programming technology and its application department, group: 0 1, credit requirement: 30.5 engineering technology.
06 19 1430 modern progress of mathematics department, group: 0 1, credit requirement: 30.5 natural science.
06 19 143 1 Modern Institute of Advanced Mathematics, group: 0 1, credit requirement: 30.5 natural science.
06 19 1440 integro-differential geometry system, group: 0 1, credit requirement: 30.5 natural science.
06 19 1450 basic department of harmonic analysis, group: 0 1, credit requirement: 30.5 natural science.
06 19 1460 basic college of probability theory, group: 0 1, credit requirements: 30.5 natural science.
06 19 1490 category department, group: 0 1, credit requirements: 30.5 natural science.
06 19 1500 homology algebra system, group: 0 1, credit requirement: 30.5 natural science.
06 19 15 10 homotopy theory and homology theory university, group: 0 1, credit requirement: 30.5 natural science.
06 19 1550 abstract algebra ii, group: 0 1, credit requirements: 30.5 natural science.
06 195 190 operating system department, group: 0 1, credit requirements: 30.5 engineering and technology.
06 195260 department of econometrics, group: 0 1, credit requirements: 30.5 social sciences.
06 195270 alternating algebra department, group: 0 1, credit requirements: 30.5 natural science.
06 195290 modular department, group: 0 1, credit requirement: 30.5 natural science.
06 1955 10 mathematical analysis series, group: 0 1, credit requirement: 30.5 natural science.
06 195520 higher algebra continuation system, group: 0 1, credit requirements: 30.5 natural science.
06 12 1370 department of mathematical statistics, group: 02, credit requirements: 9 natural sciences.
06 19 10 10 Department of Mathematical Models, Group: 02, Credit Requirements: 9 Natural Sciences.
06 19 1030 department of practical analysis, group: 02, credit requirements: 9 natural sciences.
06 19 1 120 wavelet analysis department, group: 02, credit requirements: 9 natural sciences.
06 19 1 130 computer graphics department, group: 02, credit requirements: 9 engineering technology.
06 19 1 140 numerical solution system of differential equations, group: 02, credit requirements: 9 natural sciences.
06 19 1280 department of fractal geometry and application, group: 02, credit requirements: 9 natural sciences.
06 19 1290 department of scientific computing, group: 02, credit requirements: 9 natural sciences.
06 19 13 10 control theory foundation department, group: 02, credit requirements: 9 natural sciences.
06 19 1360 stochastic process department, group: 02, credit requirements: 9 natural sciences.
06 19 1480 iterative geometry theory and method department, group: 02, credit requirements: 9 natural sciences.
06 19 1020 department of complex analysis, group: 03, credit requirements: 9 natural sciences.
I hope I can help you. Remember to adopt! ! !