微积分中的线性代数

Linear algebra in calculus

通过三角形面积与行列式的关系、Lagrange中值定理的行列式法证明、二次型函数对应的矩阵和函数的线性无关4个问题,阐述了微积分和线性代数课程之间的联系.教学实践表明,恰当地渗透微积分与线性代数之间的关系,有助于建立学生的数学整体感,提高学生学习数学的兴趣.

Expounds the relations between calculus and linear algebra courses through four questions which include the relation between the area of triangle and determinant,the determinant proof of Lagrange mean value theorem,matrix corresponding to quadratic function,linear independence of functions.Teaching practice shows that properly permeating the relationship between calculus and linear algebra can help college students to establish mathematics integral feeling and increase students′interest in learning mathematics.