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What are the knowledge points of freshmen and seniors?
The knowledge points of freshmen and seniors are summarized as follows:

The first chapter:

1, limit (pinch criterion).

2. Continuity (learn to prove the continuity of a function by definition and judge the type of discontinuity).

Chapter 2:

1, derivative (learn to prove whether a function is derivable by definition) Note: continuity is not necessarily derivable, but derivable must be continuous.

2. Derive the law (back).

3. The derivative formula can also be a differential formula.

Chapter 3:

1, differential mean value theorem (you must be familiar with and use the first section flexibly).

2. L'H?pital's Law.

3. Lagrange mean value theorem of Taylor formula.

4, the curve is concave and convex, extreme value (high school, no need to review too much).

5. Curvature formula Curvature radius.

Chapter 4 and Chapter 5, Integral, Indefinite Integral:

1, two substitution methods.

2. Integral by component (note that C is added).

3, definite integral, definition. Improper integral.

Chapter VI:

Application of definite integral. There are several main categories: polar coordinates, work, area, volume and arc length.

Chapter 7:

1, direction cosine. ?

2. Cross product. ?

3. Spatial straight line (the included angle between two straight lines, the included angle between the straight line and the plane, solving the straight line equation). ?

4. Space plane.

5. Rotating space plane (cylinder).