Shwétsiyediki Aliy Mekteplerge Iltimas Qilishning Qedem-Basquchliri
Salam dotlar: Töwendiki materiyalni hazir chet elde oquwatqan bir qérindishimiz kelgüside Shwétsiyede oqumaqchi bolghanlargha bir az paydisi tigip qalar, dégen meqsette teyyarlap, manga iwertiptu (sizge köptin-köp rexmet). Bu yazmida xéle köp imla xataliqi bar iken. Mening ularni tüzitip chiqishqa waqtim bolmighachqa, uni shu pétila chiqirip qoydum. Men oqurmenlerning birersining bu yazmining imlasini tüzitip chiqishini qizghin qarshi alimen we uninggha chin könglumdin teshekkür éytimen. Erkin Sidiq.
(Man ozumning birlikka kalgan komputer yizikni ukmiganlikim uqun bu hatni ozumning oyligini boyiqa yizivardim ,xunga siz buni okiganda sil kiylinixingiz mumkin,buning uqun sizdin kaqurum sorayman,kaqurung!)
aldi bilan sizdin xuni sorap bakay ,siz bu yarga nima uqun qikmakqi,sizning qatalga qikixtiki mudayingiz nima,siz nima uqun qatalga qikip okimakqi bop kaldingiz,okux putturgandin kiyin nima kilmakqi,arzuyingiz va gayingiz nima?
agar yukarki suallarga nisbatan kalingizda inik bir javab bolmisa ham oyingizdikilar va baxkilarning muxiningga ohxax suallirga kanaatlangudak javab biralmay yurvatkan bolsingiz ,ang yahxisi qikmang.qunki siz buning uqun tayyar bolmapsiz balki qatal ga havas kilidikansiz halas.
miningqa qatalga qikip okux biz uygurlar uqun intayin yukre sommilik mablag silingan bir kitimlik sodiga ohxaydu,uningdin payda ilix yaki ziyan tartixingiz alde bilan Allahning orunlaxturxi andin ozingizning tirixqanlikiga baglik bolidu, sizning ailingizdikilar sizning bu arzuyingizni amalga axrux uqun uzun yillardin buyan yigip kalgan barlik pulini mablag kilidu (katta bay yaki ayda tumanlap pul kirip turdigan rahbarning parzante bolmisingizla xundak.),xunglaxka buning uqun yahxi oylinixip andin karar qikirxingiz kirak.harguzmu haknni doraydigan yaki mundakla kizkix uqunla bu yolni talimang. ozingizga iqingiz agrimismu ailingizdikilarga iqingiz agrisun.
Agar sizning tel natijingiz bolmisa alde bilan tofu yaki yasi intahandin haligan birini biring.
Agar ingilizqa natijingiz bar ham yukarki masililar ustida oylinip bolgan bolsingiz amde ozingizning kaysi kasipta yaki kaysi yolnixta okumakqi bolginingizni oylixing ,uni bikitip bolgandin kiyin tordin xu kasiplarga okux mukapat puli birdigan dolatning bar yoklikiga karap biking,undak uqurlarni adatta google din izlisingiz bir damda bar yaki yoklikini tapalaysiz.agar bols alde bilan xuninga iltimas kiling uningdin kiyin bu yarga iltimas kiling.amali bolung,harguz bir dolatka qing qaplixivalmang(bu mining xahsan karxim),pul tolap okugandin ,ularning pulini ip okisingiz biri ailingizga yuk bolmaydu ikkinqisi ixlayman dapmu japa tartmaysiz.
undak yarlarni tapalmisingiz ham tapsingiz ohxaxla Sweden yaki Norway(http://www.studyinnorway.no/) diki maktaplargimu iltimas kip koyung, kiyin tallax yolingiz kop bolidu(Norway mu haksiz,ham nurgun kasplarning okux mukapat puli bar).
Swedenga iltimas kilidigan vahtingizda alde bilan http://www.studyinsweden.se/templates/cs/Article____5001.aspx bu batni iqip takxurup biking ,siz arzu kilgan kaspka yaki yikin kilidigan kasipka mukapat birdigan maktap barmikin .agar bolmisa(bolsimu) .tovandiki kadam baskuqlar bilan tizimlitix va iltimas kilixni baxlang.
1.alde bilan Sweden ning marip ministerlik tor bitining ingilizqa bitini aqimiz
https://www.studera.nu/studera/241.html
2. yukirki batting sol tarpidiki tizimliktin your pages diganni tallaymiz,uni tallap aqsak tovandikidak bat iqilidu uning iqidin Create a user account diganni tallaymiz.
4.yukirki baskuqni bisip bolgandin kiyin biz rasmi tizimlitix bitiga kirimiz,siz bu baskuqtin baxlap astaydil yizing,qunki buningdiki uqirlar sizning iltimas kilixka ixlitildigan uqurliringiz boldu,xunga astaydil yingi,email adrisingizni yazganda bak kalaymikan adris isimlirni yizivalmang,adde va ilimi bolsun.
Iqilgan batka ozingizning ilhat adrisi va ixlatmakqi bolgan mahpi numringizni kirguzup next digani bising (mahpi numurni ilhat adrisingizning mahpi numri bilan birdak kiling,asta saklaxka kulay bolidu.)
5.yukirki batiki jadivalni toldurup next ni basingiz tovandikidak koznak iqilidu,uningga isim familingiz ,adrisingiz ,telefun numringiz digandak xahsi uqurliringizni toldursiz.
6.ustidiki batni toldurup next ni baskandin kiyin baya siz toldurgan uqurlarning hamisi kayta kornidu,siz uningga karap uqirliringizni kayta muayanlaxturgandin kiyin ustidiki muayanlaxturux numirni kirguzup save ni bisip saklang.
7.save ni baskandin kiyin sizning ozingizning biti iqilidu,yani tovandikidak.
8.yukarki battning ustinki kurdiki tizimliklar arsidin search for course diganni tallaymiz.(bu kadamdin baxlap biz rasmi halda maktap va kasip yaki daris tallaxni baxlaymiz.).iqilgan koznaktin okimakqi bolgan yilimiz bilan okimakqi bolgan kasipni tallaymiz.agar siz maktap va kasipni alikaqan bikitip bolgan bolsingiz bu batning ong kol uste taraptiki advanced search diganni tallap uningdin bivasta okimakqi bolgan maktap,kasip ,rayun diganlarni talisingiz bolidu.
9.kasipni tallap next ni baskandin kiyin tovandikidak bat iqilidu siz uningdin ozingiz yakturdigan maktapni talisingiz bolidu.
10. maktapni tallap next ni basimiz ham uningdin programme diganing arsidin advanced diganni ,rate of study diganning arsidin full time/part time diganni tallap search ni basimiz.agar distance learning digan talax koznikini taligili bolsa unimu talang ,balkim yirak musapilik programme din birarsi uqrap kilixi mumkin.
11.search kilgandin kiyin siz ozingiz izdigan mktap va kasipni tovandikidak batta korsiz.ham u battiki kasipning yan tarpidin add your basket diganni bisip uni ozingizning tallax tizimlikiga kitivalsiz.hazir okuguqi kobul kilix vahti ayaglixip tihi yingi kobul kilix vahti baxlanmigan bolgaqka tovandiki rasimda siz add your basket digan ni koralmaysiz,amma rasmi baxlanganda u kornidu .
12.siz muxundak jamme sakkiz kasip va maktap talliyalaysiz xunga ohxax kadamni takrarlap baxkidin yana yatini tallang,kasipni amal bar ozingizning baklavurluk vahtidikiga yikin kip tallang.ahirda hamini tallap bolup apply kip bolgandin kiyin.materiyaliringizni maktapka ivartisiz.materiyallarni muxu battiki VHS ning adrisigila birni ivartsingiz bolidu,ular sizning matiryaliringizni ozi baxkilarga taminlap biridu,siz maktap bilan ala kilixingizning zoririyte yok.
14.agar siz bazi tallanmiliringizni ozgartmakqi bolsingiz tovandiki adriska kirip uningdin your pages diganni tallap ,ozingizning tizimlitixka ixlatkan ilhat va mahpi numiringizni bisip kirip uning iqidin ozgartix ip barsingiz bolidu,siz iltimas kilix vahtining ang ahirki kunigiqa ularga ozgartix ip baralaysiz. https://www.studera.nu/studera/241.html
15.materiyallarnin salganda ang topisiga kandak materiyallarni salginingizni tartip boyiqa yizip(materiyallarning koyulux tartipi bilan birdak bolsun) uni urup qikirip koxup yollang.
16.ivatilidigan materiyallar :
CV
PS
Recommendation letter(ikke parqa)
Your records(jamat guvalikidin otkuzsiz)
Degree(jamat guvalikidin otkuzsiz)
Diploma(jamat guvalikidin otkuzsiz)
English certificate(bu bak muhim)
Your paper(agar bolsa)
Course description
..Any certification (siz yardimi bar dap kargan harkandk kinixkilar)
Askartix:adtta nurgun maktaplarda maktap natija kagizning ingilizqa va hanzuqa nushisni bivasta ozi qikirip birdu,xunga siz uni ozgartmisingizmu bolidu. Amma mining biliximda xinjiang universiti undak kilmaydu xunga uni ozingiz tayyarliganda undak bir kisim siyasi va koxumqa darislarni oqurvatmay hamini toluk yizing.
17.materiyalingizning takkan tagmiganlikini soruxta kip takxurup biking,uni adatta ozingizning bitidin bilalaysiz yaki bolmisa bivasta xularning adrisiga ilhat yizip suruxturung,qunki ular sizning materiyaliringizni tapxurup almisa sizning uqurliringizni oqurup taxlaydu.uningdin baxka ular sizning bitingizda birar nimini ozgartsa ozi sizga ilhat ivartidu,xundak vakitlarda u batni iqip bir kitim korup qiking.
18.maktap sizni kobul kilganlikini ukturgan hamanla yaki ang ahirki natijisi qikixtin biarar ay burun siz barmakqi bolgan maktap ning tor bitini iqip ularning yatikiga tizimlitip koyung,qunki bazi maktaplarda sizning numringizga karap (aldin tizimlatkanlarning numire yukre bolidu) yatak birdu.adatta Sweden ga kilidigan qatallik okuguqilar bolupmu zhongguo luk okugiqilar kop xunga yatak sal kis ,agar undak yatak tapalmisingiz http://www.blocket.se/ bu batka kirip ozingiz sirittin izdang.
Ahirda daydiginim qatalning ixlirda savriqan va astaydil bolung,harguzmu bu ixlarni kunda oylap kalingizni qaqmang.
Agar otturqa natijiliringiz sal tovan bop kalsimu uningga kaygurup gam yap yurmang,hamma darista layakatlik bolup diploma va degree bolsa va ingiliza natijingiz bolsa korkmay iltimas kip biking.agar adam kop bolsa ular sizning natija va baxka ahvaliringizga bak karaydu agar undak bolmisa anqa kip katmaydikan.man buni oz aldimga dimidim balki kobul kilingan okugiqilarning ahvaliga karap yakunlidim,agar kiziksingiz (agar qikimanla disingiz qokum korup koyung) tovandiki tor adrisiga kirip ozingzmu korup biking http://www.kina.cc/se/ .bu bir hanzuqa yavrupadiki zhongguo luk okugiqilarning bitikan ,siz uningdin hili kop uqurga iga bolalaysiz.
Bazi yarliri balkim har yil ohxax bolmay kilixi mumkin ,qukum har yili muxu rasimdikilardak bolidu dap man kisip iytalmayman,amma asaslik baskuqi xundak.miningqa siz qikip okuyman digandiki qokum u batlardiki uqurlarni quxinalaysiz ,xunglaxka ozingizmu baxka qur ozuruxlarga va batlarga dikkat kip koyung.hammani hak dap birarmikin dap kalmang,undak kilsingiz bire vakit israpqiliki ikkinqisi uqur toluk balmay kilixi yaki vahti otkan bolixi mumkin.xunga ozingizmu izdining.
Ahirda sizning iltimas ixliringizga Ulug Allahdin asanlik tilayman, Allah hammaylan oz panahida saklisun.
1.基础数学 （一）
预 备知识、方程与方程组、函数、复数、不等式、数 列、排列、组合及二项式公式。
2.基础化学
基 础知识, 溶 液、化学平衡、氧化还原、原子和分子结构等基本理论和若干元素、化合物、滴定分析,介 绍各类化合物的结构、命名、性质及一些重要反应的历程；实验篇含实验室常用仪器介绍，基本操作和若干元素测定、离子鉴定、化合物性质等
3.基础物理
全 书分为力学（包括机械振动和机械波），热学，电磁 学，光学等四个部分的内容
4.计算机基础
计 算机 文化基础知识，多媒体技术与MPC，Windows98操作系统，中文Word97字处理系统，维吾尔等民族 文字处理，中文Excel97电子表格系统和中文PowerPoint97电子演示系统，网络基础知 识，Internet及其应用等内容。另外还介 绍了有关知识产权保护和超文本标记语 言HTML（网页设计）等方面的内 容。
5.高等代数
多 项式、性列式、线性方程组、矩阵、二次型、线性空 间、线性变换、入-矩阵、欧几里得空 间
6.解析几何
矢 量与 坐标，轨迹与方程，平面与空间直线，柱面，锥面，旋转曲面与二次去面
7.普通物理
电 场和磁场、震动和波动、量子物理。
8.数学分析
函 数，极限，连续函数，实数的连续性、导数与微分、 微分学基本定理及其应用、不定积分、定积分、级数、多元函数微分学、隐函 数、反常积分与含叁变量的积分、重积分、曲线积分与曲面积分。
9.计算机技术基础c
c语 言 概述、算法、数据类型、算法与表达式、顺序程序设计、选择、循环控制、数组、函数、预处理命令、指针、结构体与共用体、文件。
10.常微分方程
一 阶微分方程的初等解法，一阶微分方程的解的存在定 理，高解微分方程，线性微分方程组
11.概率论
事 件与概率、离散型随机变量、连续型随机变量、大数 定理。
12.数学模型
建 立数学模型，初等模型，简单的优化模型，微分方程 模型，稳定性模型。
13.数学软件
基 础准 备入门，数值数组及其运算，字符串数组，元胞数组和框架，数值计算，符号计算，数据和函数可视化，M文件和函数句柄，SIMULINK交互式仿真集成环境，句柄 图形，图形用户界面制作，MATLAB编译器，Notebook。
14.数据库
绪 论、关系数据库、关系数据库标准语言SQL、关系系统和及其查询优 化、关系数据理论、数据库设计。
15.最优化
概 论、线性规划、无约束非线性规划、约束非线性规 划、多目标规划。
16.离散数学
数 据逻辑、集合论、图论、命题逻辑、谓词逻辑、集合 论的公理系统、关系函数、图的基本概念、链与圈、图的矩阵表示、欧拉图与 哈密尔顿图、树、二部图。
17.数值方法与试验
（1） 绪论、插值法、函数逼近与曲线拟合、数值积分与数值微分。
（2） 解线性方程组得直接方法、解线性方程组得迭代法、非线方程求根、矩阵特征值问题计算、简单的数值方法与基本概论。
18.数据结构
绪 论、 线性表、栈和队列、串、数组和广义表、数和二叉树、图、查找、内部排序。
19.矩阵计算
线 性空间与线性变换、范数理论及其应用、矩阵分析及 其应用、矩阵分析、特征值的估计。
20.计算机方用c++
框 架、语法结构、体系结构、各种组件、以及微软在visual c++ 6.0中推出的各种新技术
21.差分方法
引 论、准备知识、有闲差分方法的基本概念、双曲型方 程的差分方法、抛物型方程有限差分方法。
22.数学软件（二）
本 书在对各种图像处理方法的处理作系统讲解的基础 上、详细介绍了MATLAB图像处理 工具箱函数的使用方法并大量给出了应用实例。MATLAB简介、MATLAB图形绘制、MATLAB图像处理、图像处理中的正 交变换、图像增强、图像分析、MATLAB的二值图像操作。
23.信息科学与基础
信 息科学与信息技术概论、信息的度量问题、通信系统 概论、信源编码问题、信道编码定理。
24.西方经济学
西 方经济学的研究对对象与方法、微观经济学与宏观经 济学的基本内容以及主要经济学流派。
25.有限元
数 学物理方程的变分原理、有限元离散放法。
26.计算机应用技术vb
内 容主 要包括VB6.0中文版开发环境，、 语言基础、创建用户界面、程序设计、数据应用、多媒体应用、文件操作等方面。
27.初等数论 Elementary Number Theory
整 数最基本的性质。整数的整除性理论、同余式基本理 论,指数与原根及不定方程的初 步知识。
28.计算机图形学
计算机图形学的发展和应用；计算机图形设备和系统；国际标准化组织(ISO) 发 布的图形标准；基本图形实体、自由曲线和自由曲面的生成算法；图形变换和裁剪；曲面和实体造型算法；颜色、光照模型及真实感图形显示技术与算法等内容。
29.谱方法的数值分析
谱 方法和正交多 项式、插值 算子逼近、谱方法的稳定性和收敛性理论、某些线性和非线性方程的谱方法以及近些年来的某些新进展。
30.网站设计
介绍各种网站设计软 件。比如,Dreamweaver, ASP,JSP, FrontPage, HTML、JavaScript、VBScript.
1.Fundamental Mathematics & Geometry
Basis concepts，equation and systems of equations, function, complex number, inequation, ordered series of numbers, permutation, combination and binomial formula, analytic functions. Functional analysis, vector, space, camber.
2.Fundamental Chemistry
Basis concepts, elements and compounds, chemical formula, mole, simple reactions, stoichiometry. Atomic structure, nucleus, molecules and electrons. The electronic structure of atoms and the periodic system. The chemical bond, ionic bonding, crystal structure and properties of ionic compounds, description of the gaseous state by the ideal-gas equation of state and of solids and liquids by phase diagrams. Chemical thermodynamics, first and second principles of thermodynamics. Application to the calculation of the heat, spontaneity and equilibrium conditions of chemical reactions. The molecular collision model of chemical reactions. Parameters affecting reaction rates. Catalysts, reactions and equilibria in aqueous solutions. Acids, bases and acid-base equilibria . Autoprotolysis of water and the pH. Red-ox reactions. Electrochemical cells, electromotive force, electrolysis.
3. Fundamental Physics
Short description , basis concepts of mechanical vibration and the mechanical wave, thermodynamics, electromagnetics, optics etc..
4. Computer Science
Short description, Introduction to the structure of operating systems with reference to Windows 98, processes description and Microsoft office.Introductory concepts of TCP/IP, Internet. multi-media technique and MPC ,HTML , memory management and virtual memory ,memory and I/O devices interfacing, etc..
5. Linear Algebra
Polynomial, matrices, binomial ,linear spaces, linear transformations, λ-matrix.
6.Analytic geometry
Basis concepts of vector and coordinate, locus and equation, plane and space, space line, cylindercal surface, conical surface, revolve surface and quadratic surface. Planar and spatial vectors. Vector space and scalar product. Straight lines and planes. Parallelism and orthogonality. Linear applications. Changes of planar and spatial coordinates. Polar coordinates. Conic sections and quadric surfaces, qualitative study of the graph of a function.
7. General Physics
Short description ,the electric field and magnetic field, electromagnetics, vibrate and undulate, quantum physics.
8. Analytical Mathematics (Calculus)
Short description, basics of logic and set theory. Real numbers numerical sequences and series,cartesian coordinates. Differential and integral calculus for real functions of several variables, limits, continuity, partial derivatives, gradient, differential, implicit functions and Parametric curves, curvilinear integrals of scalar fields. Multiple integrals, parametric surfaces and surface integrals, differential forms and conservative fields. Gauss, Green, and Stokes theorems. Sequences and series of functions, pointwise and uniform convergences. Fourier series of periodic functions. Euler formula. Real functions, derivatives and differentiation rules, properties of differentiable functions on intervals, searching maxima and minima, differential.
9. C-Programming Language
Short description , basis concepts , overview of computers and programming , algorithm, data type, expression type, parameter passing among functions, local and global variables and the recursive programming.
10. Ordinary Differential Equations
First order equations, explicit first order equations. The linear differential equation. Implicit first order differential equations, complex differential equations, the higher differential equation power series expansions, upper and lower solutions. Maximal and minimal integrals.
11. Probability & Statistics
Short description, sample space and axiomatic definition of a probability measure. Probabilistic models of the real line. Conditional probability and independence. Random variables and probability distributions. Main discrete and continuous random variables. Expectation, moments and characteristic functions.
12. Mathematical Modeling
Short description, Modeling process, Modeling Change , the elementary grade model, stability model. simulation modeling, discrete probabilistic modeling, graphs of functions as modeling and examples.
13. Matlab 1
Short description, introduction to the fundamentals of MATLAB functions and programming, the class proceeds to address the mainstream areas of image processing. Compiler, a new function was written and documented, M-files, code optimization. Cell arrays and structure, visualizing data and function, notebook, M-functions, generating and plotting image histograms etc..
14. Database Management System
Short description, brief introduction to data models and formal languages for databases , how to develop server-side and client-side database applications and analyze business intelligence data. All of the brand-new features, Reporting Services, Integration Services, Notification Services, and Service Broker, create custom management scripts with SQLCMD, and improve performance with SQL Profiler, relation data theories, database design. Using SQL both as a query and data manipulation language, designing and querying databases, Entity-Relationship.
15. Methods of Optimizations
General outline ,basic definitions, linear programming, maximize and minimize problems. Decision making under uncertainty and decision making with multiple objectives.Linear programming and related topics, the simplex algorithm. One-variable case, descent methods, analysis of quadratic objective functions, quadratic-fitting algorithms, nelder-meade algorithm and simulated annealing, constrained minimization.
16. Discrete Mathematics ,
Short description. Digital logic, set theory, proposition logic, conditional statements , valid andinvalid arguments ,graphics, predicate logic, the logic of quantified statements, two classical theorems, algorithms, sequences, mathematical induction, sets, set theory and axion system. Relation function, chain and ring, tree, binomial theorem, Euler graph and Homulton graph.
17. Numerical Analysis
Short.description,mathematical preliminaries,
18.Data structure
Short description, programming languages, object oriented programming, basic concepts and experiences. Advanced concepts and techniques, multi-threaded programming, basic mathematical techniques, recurrence equations, algorithm analysis. Fundamental algorithms and data structures, lists, queues, stacks, search and sorting, binary trees. Advanced algorithms and data structures, specialized tree data structures, tree search, graphs, search, order.
19. Matrix Theory
Matrix analysis, general linear systems, special linear systems, linear space and linear transformation, orthogonalization and least squares. The unsymmetric eigenvalue problem, the symmetric eigenvalue problem. Iterative methods for linear systems, reductions and transformations. Methods for the dominant eigenvalue. Methods for the subdominant eigenvalue. Inverse iteration. Jacobi's methods, Givens and Householder's methods. Eigensystem of a symmetric tridiagonal matrix. The LR and QR algorithms. Extensions of Jacobi's method, extension of Givens' and Householder's methods. QR Algorithm for Hessenberg matrices. SOR method and related methods.
20. Visual C++
Short description ,basic facilities. Design using C++, variables and basic types, library types, arrays and pointers, functions, algorithms, tools for large programs, specialized tools and techniques.
21. Partial Differential Equations
Short description, basics of functional analysis. Lax-Milgram lemma, Sobolev spaces, Galerkin methods, the finite element method, basic features, convergence analysis for 1D problems. Error control, a-priori and a-posteriori analysis. Advection-diffusion problems. Stabilization techniques, Galerkin Generalized schemes for boundary layer problems. Parabolic problems. Space-time approximations with finite elements and finite differences. Hyperbolic (convection) problems. conservative finite difference schemes for scalar problems. Continuous and discontinuous finite elements.
22. MATLAB 2
Short description , mainstream areas of image processing. intensity transformations, linear and nonlinear spatial filtering, filtering in the frequency domain, image restoration and registration, color image processing, image data compression, morphological image processing, image segmentation, region and boundary representation and description, and object recognition. Solve image processing problems using MATLAB and IPT functions. New function was written and documented , implement new image processing software solutions.
23.The information science and foundation
Short description, entropy，relative entropy and mutual information, entropy rates of stochastic process, channel capacity, differential entropy, the Gaussian channel, information theory, coding, channel coding theorem.
24. Western Economics
Short description of macro and mecro economics.
25. Finite Element Method
Short description, small deformation non-linear solid mechanics problems, non-linear quasi-harmonic field problems. Iterative techniques, Ritz-Galerkin approximation, error estimates, piecewise polynomial apaces - the Finite Element Method.
26. Computer Application Technology VB
Short description , basis concepts, overview of computers and programming , algorithm, data type, expression type, parameter passing among functions, local and global variables and the recursive programming. Design Using VB, variables and basic types, arrays and pointers, functions, algorithms, tools for large programs, specialized tools and techniques.
27. Elementary Number Theory
Short description, Integral the most basic property. Sums of higher powers and fermat’s last theorem. Divisibility and the greatest common divisor, linear equations, factorization and the fundamental theorem of arithmetic, congruences， powers， and Fermat’s little theorem, computing kth roots, Roots.
28. Computer Graphics
Short description, overview of graphics systems, geometric transformations. Two-dimensional viewing, three-dimensional viewing, three-dimensional object representations, visible-surface detection nethods, color models and color applications, computer animation, etc..
29. Spectral Method Numerical Analysis
Short description ,Chebyshev difierentiation matrices, Chebyshev difrentiation by FFT, Clenshaw curtis quadrature, complex arithmetic, eigenvalue problems, finite difference methods. GauSS quadrature, Laplace and Poisson problems, nonlinear problems, spectral accuraecy.
30.The website design
Short description and introduce various website design software. For example, Dreamweaver, ASP, JSP, FrontPage, HTML, JavaScript, VBScript.