1, define the study plan and objectives: first understand the basic concepts of advanced mathematics, and make study plans and objectives, such as how long to study every day or week, the scope and objectives of study, etc.
2. Find high-quality teaching materials and materials: Choose high-quality teaching materials that suit you, or find high-quality video courses, blog articles, forums, etc. On the internet.
3. Pay attention to the mastery of basic concepts: Advanced mathematics is a basic subject, and many advanced concepts are based on basic concepts. Therefore, it is necessary to understand and master the basic concepts.
4, learn to do problems: Advanced mathematics needs a lot of exercises to deepen understanding, so try to do as many exercises, real questions, simulation questions and test papers as possible.
5. Learn to communicate and discuss with each other: In the process of studying advanced mathematics, you can join a study group to communicate and discuss with other students.
6. Perseverance and perseverance: Advanced mathematics is a subject that requires perseverance and perseverance, and requires patience and perseverance.
University advanced mathematics mainly includes the following contents:
1, limit and continuity: limit is the basis of calculus, including the concepts of limit, infinitesimal and derivative. Continuity means that the limit of a function exists at a certain point, and the value of the function is infinitely close to this limit in a neighborhood.
2. Derivative and differential of function: Derivative and differential are important concepts of calculus, including the definition of derivative, the law of derivative and the definition of differential.
3. Integral: Integral is one of the core contents of calculus, including the concept, properties and calculation methods of definite integral, as well as the concept and calculation methods of multiple integral.
4. Differential equation: Differential equation is a tool to describe a changing process or state, including ordinary differential equation and partial differential equation.
5. Spatial analytic geometry and linear algebra: including vector algebra, geometry in space, linear algebra, etc.
6. Series: Series is a method of combining a group of numbers according to certain rules, including the sum of series and the sum of series.
7. Ordinary differential equation: Ordinary differential equation is a kind of partial differential equation, which describes the changing relationship between some variables.