本课程的研究对象是函数（变化过程中量的依赖关系）。内容包括函数、极限、连续，一元函数微积分学，向量代数与空间解析几何学，多元函数微分学，多元函数积分学，无穷级数（含Fourier级数）与常微分方程等。要通过各个教学环节逐步培养学生的抽象思维能力、逻辑推理能力、空间想象能力和自学能力，还要特别注意培养学生的熟练运算能力和综合运用所学知识去分析解决问题的能力。

The ability of the abstract thought , logical reasoning, the imaginary in space and self-study for student will be trained during the process of teaching. The ability of adroit calculus , analyzing and solving the problem applying their knowledge also will be trained for special note.