Test center 1: Calculate the limits of functions and sequences with classical tools.
Seven indefinite forms; Monotone boundedness principle, pinch criterion, Heine theorem
Test site 2: profound understanding, will use infinitesimal scale and infinitesimal scale.
Three application scenarios: limit itself, integral convergence and series convergence.
Test site 3: Deeply understand the definition of derivative and its geometric significance.
Derivative definition; Find the tangent normal; higher derivative
Test site 4: three logical questions
① Maximum value, median value, Fermat, Rolle, Lagrange, Taylor, Cauchy, integral mean value theorem (interval can be opened and closed)
② Inequality
③ Equation root (equation)
Test site 5: Geometric application of derivatives
Three-point (extreme point, inflection point, maximum point) amphoteric (monotonicity, concavity and convexity) line (asymptote) (one of the best curvatures)
Test Site 6: Existence Theorems of Indefinite Integral and Definite Integral
Test Site 7: method of substitution, integration by parts, Differential Method and Rational Function Integration Method (ideas)
Test site 8: Geometric application of integral
Test site 9: the concept of multivariate function
(5: limit, continuity, differentiability, continuity of derivative function, existence of partial derivative), calculation of multivariate function, extreme value, maximum value.
Test center 10: properties and calculation of double integral
Test site 1 1: Solve differential equations by classification (to the basic form).
Test center 12: number one and number three: convergence, convergence domain, sum and expansion of series
Test center 13: number one: projection, rotation, tangent plane normal, tangent plane normal; Triple integral (centroid formula), one kind of surface integral, two kinds of curve surface integral, Fourier series
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