英文高等数学讲座示范

发布者:系统管理员发布时间:2011-05-13浏览次数:604

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
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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
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