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我校是招收高中毕业生的两年制工科中专,机械制造专业,工业与民用建筑专业选用朱宏道等编写的“高等数学”为教材,为了和后续课程相衔接,我们规定在144学时讲完,实际授课时间只有96课时,为了克服教材面宽量大和教学时间紧的矛盾,我在教学过程中逐步体会到:在讲清楚基础知识的基础上,要善于和学生一起突破教材模式的束缚,对所学知识进行归纳、总结、提高、摸索出适应学生水平易于掌握和运用的解题及计算方法,做到既启发学生学习兴趣,又培养学生进取精神.下面就“高等数学”§6—7中关于y″+py′+qy=e~(ax)(Mcosbx+Nsinbx)(1)的解的待定常数确定方法为例,进行探讨.方程(1)中P、q、a、b、M、N都是已知常数.应用欧拉公式可以证明(从略)方程(1)具有形如
Our school is a two-year engineering school specializing in recruiting high school graduates. It specializes in mechanical manufacturing. The industrial and civil construction majors use Zhu Hongdao’s “Advanced Mathematics” as a teaching material. In order to link up with the follow-up courses, we provide 144 academic hours. After the actual instruction time was only 96 hours, in order to overcome the contradiction between the large amount of teaching material and the tight teaching time, I gradually realized that in the teaching process, based on the clear basic knowledge, we must be good at breaking through the binding of teaching materials with the students. , Summarizes, summarizes, improves, and explores the problems and calculation methods that are easy to grasp and use to adapt to the students’ level. This will not only inspire students’ interest in learning, but also cultivate students’ enterprising spirit. The following is “Advanced Mathematics”. The method for determining the undetermined constant of the solution of y′′+py′+qy=e~(ax)(Mcosbx+Nsinbx)(1) in Equation 7 is discussed as an example. P, q, a, b in Equation (1) , M, and N are known constants. Using Euler’s formula can prove (from slightly) equation (1) has a