| 报告题目： | 英文高等数学讲座示范 |
| 报 告 人： | qin “tim“ sheng 盛秦 |
| professor of mathematics, baylor university | |
| 报告时间： | 6月14-6月23日 |
| 报告地点： | 九龙湖数学系第一报告厅 |
| 相关介绍： | 讲座时间和内容安排 june 14 9:00-11:30 a.m. introduction and back ground in formation; limit: a numerical and graphical approach; basic limit laws june 15 9:00-11:30 a.m. limits and continuity ; evaluating limits algebraically; trigonometric limits; intermediate value theorem june 16 9:00-11:30 a.m. denition of the derivative; the derivative as a function; product and quotien trules; rates of change june 17 9:00-11:30 a.m. higher derivatives; derivatives of trigonometric functions; the chain rule; implicit dierentiations june 20 2:00-4:30 p.m. derivatives of inverse functions; deriva tives of logarithmic functions; related rates; linear approximation and applications june 21 9:00-11:30 a.m. extremevalues; the mean value theorem and monotonicity; the shape of graph; graph sketching and asymptotes; antiderivatives june 22 9:00-11:30 a.m. approx imating and computing area; the denite integral; the fundamental theorem of calculus: parti; the fundamental theorem of calculus: part ii june 23 9:00-11:30 a.m. net or total change as the integral of a rate; substitution method; integrals of exponential and logarithmic functions; summaries |
