9512.net

甜梦文库

甜梦文库

当前位置：首页 >> 数学 >> # high school mathematical course description 高中数学课程描述

Mathematics Course Description

Mathematics course in middle school has two parts: compulsory courses and optional courses. Compulsory courses content lots of modern mathematical knowledg

e and conceptions, such as calculus, statistics, analytic geometry, algorithm and vector. Optional courses are choosen by students which is accrodding their interests.

Compulsory Courses:

Set Theory

Course content: This course introduces a new vocabulary and set of rules that is foundational to the mathematical discussions. Learning the basics of this all-important branch of mathematics so that students are perpared to tackle and understand the concept of mathematical functions. Students learn about how entities are grouped into sets and how to conduct various operations of sets such as unions and intersections(i.e. the algebra of sets). We conclude with a brief introduction to the relationship between functions and sets to set the stage for the next step Key Topics: ? The language of set theory ? Set membership ? Subsets, supersets, and equality ? Set theory and functions

Functions

Course content: This lesson begin with talking about the role of functions and look at the concept of mapping values between domain and range. From there student spend a good deal of time looking at how to visualize various kinds of functions using grahs. this course will begin with the absolute value function and then move on to discuss both exponential and logarithmic functions. Students get an opportunity to see how these functions can be used to model various kinds of phenomena. Key Topics: ? Single-variable functions ? Two –variable functions ? Exponential function ? Logarithmic function

?

Power- function

Calculus

Course content: In the first step, the course introduces the conception of limit, derivative and differential. Then students can fully understand what is limit of number sequence and what is limit of function through some specific practices. Moreover, the method to calculate derivative is also introduced to students. Key Topics: ? Limit theory ? Derivative ? Differential

Algorithm

Course content: Introduce the conception of algorithm and the method to design algorithm. Then the figures of flow charts and the conception of logcial structure, like sequential structure, constructure of condition and cycle structure are introduced to studnets. Next step students can use the knowledge of algorithm to make simple programming language, during this procedure, student also approach to grammatical rules and statements which is as similar as BASIC language. Key Topics: ? Algorithm ? Logical structure of flow chart and algorithm ? Output statement ? Input statement ? Assingnment statement

Statistics

Course content: The course starts with basic knowledge of statistics, such as systematic sampling and group sampling. During the lesson students acquire the knowlegde like how to estimate collectivity distribution accroding frequency distribution of samples, and how to compute numerical characteristics of collectivity by looking at numerical characteristics of samples. Finally, the relationship and the interdependency of two variables is introduced to make sure that students mastered in how to make scatterplot, how to calculate regression line,and what is Method of Square.

Key Topics: ? Systematic sampling ? Group sampling ? Relationship between two variables ? Interdependency of two variables

Basic Trigonometry I

Course content: This course talks about the properties of triangles and looks at the relationship that exist between their internal angles and lenghs of their sides. This leads to discussion of the most commonly used trigonometric functions that relate triangle properties to unit circles. This includes the sine, cosine and tangent functions. Students can use these properites and functions to solve a number of issues. Key Topics: ? Common Angles ? The polar coordinate system ? Triangles properties ? Right triangles ? The trigonometric functions ? Applications of basic trigonometry

Basic Trigonometry II

Course content: This course will look at the very important inverse trig functions such as arcsin, arcos, and arctan, and see how they can be used to determine angle values. Students also learn core trig identities such as the reduction and double angle identities and use them as a means for deriving proofs. Key Topics: ? Derivative trigonometric functions ? Inverse trig functions ? Identities ? Pythagorean identities ? Reduction identities ? Angle sum/Difference identities ? Double-angle identities

Analytic Geometry I

Course content: This course introduces analytic geometry as the means for using functions and polynomials to mathematically represent points, lines, planes and ellipses. All of these concepts are vital in students mathematical development since they are used in rendering and optimization, collision detection, response and other critical areas. Students look at intersection formulas and distance formulas with respect to lines, points, planes and also briefly talk about ellipsoidal intersections. Key Topics: ? Parametric representation ? Parallel and perpendicular lines ? Intersection of two lines ? Distance from a point to a line ? Angles between lines

Analytic Geometry II

Course content: Students look at how analytic geometry plays an important role in a number of different areas of class design. Students continue intersection discussion by looking at a way to detect collision between two convex polygons. Then students can wrap things up with a look at the Lambertian Diffuse Lighting model to see how vector dot products can be used to determine the lighting and shading of points across a surface. Key Topics: ? Reflections ? Polygon/polygon intersection ? Lighting

Sequence of Number

Course content: This course begin with introducing serveral conceptions of sequence of number, such as, term, finite sequence of number, infinite sequence of number, formula of general term and recurrence formula.Then, the conception of geometric sequence and arithmetic sequence is introduced to students. Through practices and mathematical games, stuendents gradually understand and utilize the knowldege of sequence of number, eventually students are able to sovle mathematical questions.

Key Topics: ? Sequence of number ? Geomertic sequence ? Arithmetic sequence

Inequality

This course introduces conception of inequality as well as its properties. In the following lessons students learn the solutions and arithmetics of one-variable quadratic inequality, two variables inequality, fundamental inequality as well how to solve simple linear programming problems. Key Topics: ? Inequal relationship and Inequality ? One-variable quadratic inequality and its solution ? Two-variable inequality and linear programming ? Fundamental inequality

Vector Mathematics

Course content: After an introduction to the concept of vectors, students look at how to perform various important mathematical operations on them. This includes addition and subtraction, scalar multiplication, and the all-important dot and cross products. After laying this computational foundation, students engage in games and talk about their relationship with planes and the plane representation, revisit distance calculations using vectors and see how to rotate and scale geometry using vector representations of mesh vertices. Key Topics: ? Linear combinations ? Vector representations ? Addition/ subtraction ? Scalar multiplication/ division ? The dot product ? Vector projection ? The cross product

Optional Courses Matrix I

Course content: In this course, students are introduced to the concept of a matrix like vectors, matrices and so on. In the first two lessons, student look at matrices from a purely mathematical perspective. The course talks about what matrices are and what problems they are intended to solve and then looks at various operations that can be performed using them. This includes topics like matrix addition and subtraction and multiplication by scalars or by other matrices. At the end, students can conclude this course with an overview of the concept of using matrices to solve system of linear equations. Key Topics: ? Matrix relations ? Matrix operations

? ? ? ? ? ?

Addition/subtraction

Scalar multiplication Matrix Multiplication Transpose Determinant Inverse

Polynomials

Course content: This course begins with an examination of the algebra of polynomials and then move on to look at the graphs for various kinds of polynomial functions. The course starts with linear interpolation using polynomials that is commonly used to draw polygons on display. From there students are asked to look at how to take complex functions that would be too costly to compute in a relatively relaxed studying environment and use polynomials to approximate the behavior of the function to produce similar results. Students can wrap things up by looking at how polynomials can be used as means for predicting the future values of variables. Key Topics: ? Polynomial algebra ( single varible) ? addition/subtraction ? multiplication/division ? Quadratic equations ? Graphing polynomials

Logical Terms in Mathematics

Course content:

This course introduces the relationshiop of four kinds of statements, necessary and sufficient conditions, basic logical conjunctions,existing quantifier and universal quantifier. By learning mathematical logic terms, students can be mastered in the usage of common logical terms and can self-correct logical mistakes. At the end of this course, students can deeply understand the mathematical expression is not only accurate but also concise. Key Topics: ? Statement and its relationship ? Necessary and sufficient conditions ? Basic logical conjuncitons ? Existing quantifier and universal quantifier

Conic Sections and Equation

Course content: By using the knowlegde of coordinate method which have been taught in the lesson of linear and circle, in this lesson students learn how to set an equation accroding the character of conic sections. Students is able to find out the property of conic sections during establishing equations. The aim of this course is to make students understand the idea of coobination of number and shape by using the method of coordinate to solve simple geometrical problems which are related to conic sections. Key Topics: ? Curve and equation ? Oval ? Hyperbola ? Parabola

- Course Description大一课程描述
- course_description 课程描述
- 课程介绍 A Brief Course Description
- 高中生关于数学概念与现实生活的联系的看法Conceptions of high school students about mathematical
- COURSE DESCRIPTION课程描述
- 课程描述(Courses Description)
- 高中数学课程描述(英文)
- ~high school basic economic course
- course description 大学课程描述翻译
- 如何选择高中课程 How to Choose High School Course
- 高中数学课程描述(英文)
- 北师大版高中数学【江西文科数学理科数学必修12345选修】教材目录
- 高中课程描述
- 高中生关于数学概念与现实生活的联系的看法Conceptions of high school students about mathematical
- English was a reqiured course throughout my high school years in China

更多相关文章：
*课程描述*自动化

3.5 先修*课程*:*高中数学* 授课教师:孟晨辉 教材: 《...Higher Education Press *Course* *Description*: Mathematics...*Mathematical* expectation 5.2 Variance 5.3 ...**出国留学***课程描述*

它为研究事物的发展变化提供了基 本的*数学*基础和...to provide basic *mathematical* basis and framework....留学部分转*课程介绍* 10页 免费 *Course* *Description* 56...**数模和电磁场英文***课程描述*

*Course* code: 09236 Title: *Mathematical* Modeling ...computer programme language *School* responsible: ...*description*: 本*课程*主要*介绍*用*数学*知识解决实际问题的...*数学*学院硕士研究生*课程*内容简介

*数学*学院硕士研究生*课程*内容简介_建筑/土木_工程科技...Simon, Methods of Modern *Mathematical* Physics I, ...2.Ward Cheney, Will Light, A *course* in ...**清华大学本科计算机***课程介绍*

Busby , Sharon*Mathematical* Structures, 高教出版社...本*课程*讲述计算机、电子通信等专业所需的*数学*基础知识...including *high*-level *description* language VHDL, simula...**加州中学教材***介绍*

*数学*\几何\代数 共 1.37 GB Advanced *Mathematical* Concepts - Precalculus with ...选修课: 商业经济类 Accounting - First Year *Course*, Interactive Student ...**水利水电工程英文版***课程描述*_图文

河海大学水利水电工程专业*课程描述* *Course* *description* for students majoring in ...*mathematical* knowledge for subsequent *courses*; 3 为解决实际问题提供有效的*数学*...**电子信息工程专业***课程*翻译中英文对照表

课群*数学* 与 自然 科学 课群 *课程*中文名称高等*数学*...*Mathematical* Physics Introduction to Electronic and ...*Course* Lecture 文化 素质 教育 课群 公共艺术*课程* ...**美国***数学*本科生、研究生基础*课程*参考书目

美国*数学*本科生、研究生基础*课程*参考书目_院校资料_高等...Principles of *mathematical* analysis:本科*数学* , : ...*course* of Functional analysis:标准的研究生泛函分析...**中澳(VCE)***数学课程*的研究与实践

中澳(VCE)*数学课程*的研究与实践_*高一数学*_数学_高中...*Mathematical* Methods 和 *Mathematical* Methods CAS ,...SAC 是 *School* Assessed *Course*work 的英文缩写,即... 更多相关标签：
course description high school dxd high school love on high school high school d×d high school musical high school dxd特典 highschooldxd第三季

3.5 先修

它为研究事物的发展变化提供了基 本的

Busby , Sharon

河海大学水利水电工程专业

课群

美国

中澳(VCE)