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高等数学 Advanced Mathematics
本课程以微积分学为核心内容,首先介绍了微积分研究的对象 -- 函数及微积分研究的重要基础 -- 极限论。在此基础上建立了一元函数微积分学的连续、导数、微分、不定积分、定积分的概念、理论和应用,多元函数微积分学的基本概念和理论以及空间解析几何和向量代数,并介绍了微积分学的有关理论的应用。
The curriculum has its core study in calculus, beginning with the introduction of study of calculus, function and Limit Theory, the very important basis of calculus study. After the basic studies, the course will then go through the concept, theory and application of integral calculus of one variable, derivative, differentiation, indefinite integral and definite integral, the basic concept and theory of multivariable differential calculus, vector algebra and spatial analytic geometry, and also the related theory and application of differential and integral calculus.