2. One-dimensional calculus: lateral area of rotating body, arc length of plane curve, work, gravity, pressure, centroid, centroid, etc.
3. Vector Algebra and Spatial Analytic Geometry: Vector, Line and Plane, Revolving Surface, Sphere, Cylinder, Quadratic Equation in Common Use, Its Graph and Projection Curve Equation;
4. Differential calculus of multivariate functions: directional derivative and gradient, tangent plane and normal plane of space curve, tangent plane and normal plane of surface; Existence theorem of implicit function.
Extended data:
Learning methods of advanced mathematics;
1, preview in advance and take notes.
Learn advanced mathematics and preview relevant contents in advance. Mark the places you don't understand with question marks and think for yourself. If you still can't figure it out, write down the knowledge points of the question and go to class with the question. This will make the study active and in-depth, enhance the pertinence and initiative of the classroom, and will have a multiplier effect.
2. Review and finish homework in time after class.
Review includes after-class review and periodic review. The focus of after-class review is to read the textbook again, recall the concepts, theorems and formulas learned that day, and explain them thoroughly. If you don't understand, ask your classmates or teachers in time. Don't pretend to understand. After each chapter, there will be a regular review. The concepts, theorems, properties and formulas of this chapter are sorted out, summarized and summarized, and typical examples, typical problem-solving methods and skills are summarized.