1, differential formula: differential is a basic concept in calculus, which describes the rate at which function values change with independent variables. The differential formula includes the definition of derivative, the law of derivative and the law of derivative of compound function. These formulas are used to calculate the derivative of the function, so that we can study the monotonicity, extremum and inflection point of the function.
2. Integral formula: Integral is the inverse operation of differential, which is used to calculate the definite integral or indefinite integral of a function in a certain interval. Integral formulas include definite integral formula, indefinite integral formula and substitution integral formula. These formulas are used to calculate practical application problems such as area, volume and physical quantity.
3. Formula of trigonometric function: trigonometric function is an important tool to deal with triangles and periodic phenomena in mathematics. Formulas of trigonometric functions includes sum-difference product formula, double-angle formula, half-angle formula, sum-difference product formula and so on. These formulas are used to simplify the expression of trigonometric function and calculate the value of trigonometric function.
4. Algebraic formula: Algebraic formula is the basic operation rule in mathematics, which is used to simplify complex algebraic expressions. Algebraic formulas include expansion, simplification and factorization of algebraic expressions. These formulas are used to solve algebraic equations, inequalities and optimization problems.
The difference between Math II and Math III in postgraduate entrance examination;
1, the content and difficulty of the exam are different: the content and difficulty of the exam of Math II and Math III for postgraduate entrance examination are different. Mathematics 2 mainly examines advanced mathematics and linear algebra, which is relatively difficult, and requires candidates to have a high degree of mastery of basic mathematics knowledge, as well as certain problem-solving ability and thinking ability. Mathematics III not only examines advanced mathematics, but also involves the contents of probability theory and mathematical statistics, which is relatively less difficult and pays more attention to the understanding and application of basic knowledge.
2. Different applicable majors: Mathematics II and Mathematics III have different applicable majors. Mathematics II is mainly suitable for undergraduates majoring in mechanical engineering, civil engineering and chemical engineering. Mathematics III is mainly suitable for economic management undergraduates, such as finance, accounting and business administration.
3. The future development direction is different: Because of the different content and difficulty of Math II and Math III exams, candidates will have different future development directions. Candidates who pass Mathematics II can have a deeper understanding of mathematics knowledge, have stronger mathematical thinking ability and problem-solving ability, and can engage in research, teaching or advanced technical work in related fields in the future.