Linear algebra, advanced mathematics, singularity, parity, periodicity, derivative function, calculus, unitary integral, quadratic integral, compound function.
There are also: piecewise function, inverse function, implicit function, elementary function, higher function, indefinite integral, analytic geometry, vector algebra, determinant, matrix, elementary transformation of matrix, vector group, equation group, combination of vector and equation group, similar matrix, quadratic form and so on.
1, linear algebraic equations are commonly used test sites, including unknowns, coefficients, equal signs, and the forms of mutual transformation between linear equations and matrices, and the matrix is augmented to form an effective solution of linear equations. The forms of equations and vectors are transformed back and forth, and equations are generally solved. The following equation is solved by elementary line transformation.
2. Green's formula (emphasis) (direct use (treatment when conditions are not met: "mending lines" and "digging holes"), integral has nothing to do with path, and binary function is fully differentiated), Gaussian formula (emphasis) (treatment when conditions are not met (similar to Green's formula), Stokes formula (low requirement;
When to use: calculate the second kind of curve integral, the curve is not easy to parameterize, and it is often expressed as the intersection of two surfaces), and the field theory is preliminary (divergence, curl).
3. Double limit and continuity of binary function, definition of partial derivative, differentiability and total differential, existence of partial derivative of binary function, relationship between differentiability and continuity of partial derivative function, calculation of partial derivative of multivariate function (emphasis), directional derivative and gradient, extremum of multivariate function (unconditional extremum and conditional extremum), tangent of space curve and surface normal plane, tangent and normal.