The key to learn calculus well is to do more problems and calculate more. The program is compiled and the math is worked out.
Studious.
Pay attention to study, and pay special attention to the following in the first semester:
(1) The mathematical basis of calculus is limit theory.
(2) Understand the concepts of differential and derivative, and the basic methods of differential (formulas, especially the methods of derivative of compound function, derivative of implicit function and derivative of parametric equation function).
(3) The proof of three mean value theorems (Rolle theorem, Lagrange mean value theorem and Cauchy mean value theorem) and the solution of derivatives in function properties (monotonicity, concavity and convexity, extremum, etc.). ).
(4) Integral (indefinite integral, definite integral solution, method of substitution, partial integral)
(5) The application of definite integral (especially the calculation of area, volume and curve length and some simple physical applications).
The second semester is actually a series of generalizations of functions from monism to pluralism (especially duality) on the basis of the first semester, which will not be discussed here.
How to learn calculus well The key to calculus is to define the concepts of limit, derivative and integral. In the process of learning and solving problems, we should constantly sum up and summarize. Usually, you should practice more application problems to enhance your ability to solve problems in practice. It is suggested to combine English original books to study and expand learning ability.