1, solution of algebraic equation: algebraic equation is a common equation form in mathematics, so it is very important to master the solution of algebraic equation. When solving algebraic equations, we need to master the basic methods such as collocation method, factorization method and formula method. These methods can not only help us solve equation problems quickly, but also improve our computing power.

2. Geometric proof: Geometric proof is a very important part of mathematics, involving many proof methods and skills. In geometric proof, we need to master various proof methods, such as reduction to absurdity, synthesis and analysis, which can help us prove various geometric theorems and properties.

3. Probability statistics: Probability statistics is one of the most closely related parts in mathematics with real life. In probability statistics, we need to master various probability distributions and statistical methods, such as binomial distribution, normal distribution and regression analysis, which can help us solve various problems in real life.

4. Calculus: Calculus is one of the most important branches of mathematics, involving many concepts and methods. In calculus, we need to master various differential and integral methods, such as limit, derivative and integral, which can help us solve various practical problems.

5. Numerical calculation: Numerical calculation is one of the most important parts in mathematics, involving many calculation methods and skills. In numerical calculation, we need to master various numerical calculation methods, such as Newton method, gauss elimination method and least square method. These methods can help us solve various numerical calculation problems quickly.

The importance of problem solving skills:

1. Having problem-solving skills can help us solve problems faster and more accurately. Faced with all kinds of challenges and difficulties, people who have the ability to solve problems can apply what they have learned and find the best solution according to the actual situation. In contrast, people who don't have problem-solving skills may feel at a loss and can't solve problems effectively.

2. Problem-solving skills are the key to improve learning efficiency. In the process of learning, we will inevitably encounter various problems. If you lack the necessary problem-solving skills, you may spend a lot of time thinking and solving problems, thus affecting the overall learning progress. Mastering problem-solving skills can help us break through difficulties faster and improve learning efficiency.

3. Problem-solving skills are also helpful to cultivate our thinking ability and innovative spirit. By constantly practicing and mastering problem-solving skills, you can exercise your thinking ability, learn to look at problems from different angles and try to solve problems in novel ways. This innovative spirit can not only improve our learning effect, but also help us better cope with the challenges in our future study and work.