高等数学课程英文简介
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Course Syllabuses
Course Name Higher Mathematics Course Code
Hours&Credits160 & 10
Majors&Minors Science &Technology Majors Faculty of Mathematics and Physics
Higher Mathematics
COURSE DESCRIPTION:
Prerequisites: satisfactory score on elementary mathematics
Corequisites: None
Higher Mathematics is designed to 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 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 completion, students will be able to evaluate limits and continuity, and compute derivatives and integrals of selected functions with single or multivariable, solve some linear differential equations and determine the convergences or divergences of an infinite series. Furthermore, students will be able to utilize the techniques of differentiation and integration together with appropriate technology to solve practical problems and to analyze and communicate results.
OUTLINE OF INSTRUCTION:
Chapter 1. Functions and Limits
Chapter 2. Derivatives and Differentiation
Chapter 3. The Mean Value Theorem and Applications of the Derivatives Chapter 4. Indefinite Integrals
Chapter 5. Definite Integrals
Chapter 6. Applications of Integrals
Chapter 7. Differential Equations
Chapter 8. vectors and the geometry of space
Chapter 9. Multivariable Functions and Theire Derivatives
Chapter 10. Multiple Integrals
Chapter 11. Integration in Vector Fields
Chapter 12. Infinite Series
TEACHING METHODS:
Lecture
ASSESSMENT Items:
There will be a midterm, final and two periodical examinations
GRADING:
Midterm 10%
Final Exam 50%
Two periodical Exam 20%(each 10%)
Exercises 20%
REFERENCE BOOKS:
1.Stewart, James. Calculus: Early Transcendentals. 7th ed. Brooks/Cole, Cengage
Learning 2012
2.Ross L. Finney. Calculus. 10th edition. Maurice D. Weir and Frank R. Giordano 2010