高等數(shù)學(xué)課程英文簡介

1、course syllabusescourse name higher mathematicscourse codehours&credits160 & 10majors&minors science &technology majorsfaculty of mathematics and physicshigher mathematicscourse description:prerequisites: satisfactory score on elementary mathematicscorequisites: nonehigher mathematics is designed to

2、 serve students majoring in chemical science, computer science and engineering etc. it consists of two parts of a two-semester sequence. the course begins with a rapid review of topics in algebra and trigonometry, which you should be competent in. part 1, consisting of chapters 1 to 7, is devoted to

3、 single variable differentiation, integration and differential equations. it covers the fundamental concepts and theorems. part 2, consisting of chapters 8 to 12, discusses in depth multivariable differentiation, integration, infinite series, vectors and the geometry of space.course objectives:upon

4、completion, students will be able to evaluate limits and continuity, and computederivatives and integrals of selected functions withsingle or multivariable, solve somelinear differential equations and determine the convergences or divergences of aninfinite series. furthermore, students will be able

5、to utilize the techniques of differentiationand integration together with appropriate technology to solve practical problems and to analyze and communicate results.outline of instruction:chapter 1. functions and limitschapter 2. derivatives and differentiationchapter 3. the mean value theorem and ap

6、plications of the derivativeschapter 4. indefinite integralschapter 5. definite integralschapter 6. applications of integralschapter 7. differential equationschapter 8. vectors and the geometry of spacechapter 9. multivariable functions and theire derivativeschapter 10. multiple integralschapter 11.

7、 integration in vector fieldschapter 12. infinite seriesteaching methods:lecture1 / 3assessment items:there will be a midterm, final and two periodical examinationsgrading:midterm 10%final exam 50%two periodical exam 20%(each 10%)exercises 20%reference books:1. stewart, james. calculus: early transcendentals. 7th ed. brooks/co