《数学物理方程B》Teaching Quality Standards for Mathematical Physics Equation B

1、Teaching Quality Standards for Mathematical Physics Equation BTotal Periods: 32 Credits:2Mathematical Physics Equation B is the subject foundation compulsory course whose prerequisite course is College Physics and Advanced Mathematics. This course is not only the further deepening of mathematics the

2、ory, but also provides some important methods to solve practical problems. This course is applicable to engineering mechanics, geophysics and other majors. This course introduces the derivation of basic equations, solutions of IVPs and BVPs for wave equation, heat equation and harmonic equation and

3、their physical meaning, etc. Through this course, students can master the construction of mathematical models for practical problems, typical methods for solving IVPs and BVPs of partial differential equations. Moreover, students can solve some engineering and technical problems by using the knowled

4、ge of this course, and lay the foundation for further study.I. Course ObjectivesThrough this course, students can master the basic theory of partial differential equations, and necessary mathematical foundations and mathematical methods in their major, the thinking method of modeling, analyzing and

5、solving, the ability of mathematical modeling, analyzing and solving engineering and technical problems. And so, they can own the ability of scientific research, teaching, management, technological development in engineering mechanics, geophysics and engineering technology, etc.II. Course content, r

6、equirements and period distributionMain course contentNo.ChapterContent and requirementsPeriodRemarks1Chapter 1IntroductionTo know about the main content of this courseTo master basic concept, derivation of basic equations, IVPs and BVPs, classification of second order linear partial differential eq

7、uations42Chapter 2Wave equationTo master unbounded string vibration, semi-bounded string vibration, forced vibration of unbounded string, bounded string vibration, spherical averaging method, dimension reducing method143Chapter 3Heat equationTo master separation variable method of heat equation24Cha

8、pter 4Harmonic equationTo master fundamental solutions, Green formulas and their applications, Green functions105General reviewTo review knowledge points, sum up homework2Total32III. Teaching staffThis course requires a course leader (above the level of associate professor) and some teachers (above

9、the level of lecturer). The course leader should have rich teaching experience and strong ability of organization and management.Teachers should have a doctorate, enough teaching ability and professional level. Moreover, they should have enough time and effort to teaching and guiding students, and a

10、ctively participate in teaching research and reform.IV. Teaching materials and references1Recommended textbookW. Liu, etc. Mathematical Physics Equation (Second Edition). Xuzhou: China University of Mining and Technology Press, 20022Teaching references1）Z. Chen. Mathematical Physics Equation. Beijin

11、g: Higher Education Press, 19902）Department of mathematics, Fudan University. Mathematical Physics Equation. Beijing: People Education Press, 19793）W. Ou. Mathematical Physics Equation. Jilin: Jilin University Press, 19914）S. Qiu. Mathematical Physics Equation. Beijing: Capital Normal University Pre

12、ss, 1997V. Teaching organization1Teaching conception, design and methodsThe teaching of this course should pay attention to the reform of teaching methods. For stimulating the students interest, teachers should adopt different teaching methods (for example, inspire, discuss, introduce from practical

13、 problems) according to the content, and carry on the reasonable teaching design.2Course serviceThe teachers should assign homework in each chapter, correct homework more than 1/3 and make a summary of homework at the appropriate time. They should arrange the answer time every week and adopt the met

14、hod of face to face.VI. Course assessmentExamination method: final exam in form of close-book, accounting for 60%; homework, attendance, etc. for the usual results, accounting for 20%; application training in form of small paper, accounting for 20%.Scoring criteria: percentile systemVII. Notes1）This course should be arranged after Advanced Mathematics, College Physics and other courses.2）The change of t