杨超高数视频目录（Yang Chao high video directory）.doc

杨超高数视频目录（Yang Chao high video directory） 1) preface 1 Preface 2) 2 learning the three realms of Mathematics (1) 3) 3 learning the three realms of Mathematics (2) 4) the three realms of learning mathematics (3) 5) first, the concepts and properties of function, limit, continuous 1 limit (1) 6) the concept and properties of the 2 limit (2) 7) the concept and properties of the 3 limit (3) 8) the concept and properties of the 4 limit (4) 9) equivalent infinitesimal replacement, the limit 10) use Taylor formula to find the limit 11) two important limits 12) limit by lHopitals rule (1) 13) limit by lHopitals rule (2) 14) use the forcing criterion to find the limit 15) use the definite integral to define the limit (1) 16) use the definite integral to define the limit (2) 17) the monotone bounded principle limit (three not required) 19) using differential mean value theorem to find the limit 20) using integral mean value theorem to find the limit 21) comparison of infinitesimal quantities 22) the known limit inversion parameter 23) continuous and discontinuous (1) 24) continuous and discontinuous (2) 580 minutes, 9 hours, 40 minutes 25) second stresses the concepts and properties of derivatives and differential 1 derivatives (1) 26) the concept and properties of the 2 derivative (2) 27) 3 uses the definition derivation 28) the derivatives of 4 implicit functions 29) derivation of 5 composite functions 30) derivation of 6 parameter equation 31) 7 logarithmic derivation 32) derivatives of the 8 limit function 33) derivative of 9 variable limit integral 34) derivation of 10 piecewise functions (1) 35) derivation of 11 piecewise functions (2) 36) 12 seeking higher order derivatives 220 minutes, 3 hours, 40 minutes (---37) third mean value theorem, 1 Mean Value Theorem theory (1) 38) value theorem theory (2) 39) 3 values and betweenness values (1) 40) 4 Rolle theorem (1) 41) 5 Rolle theorem (2) 42) 6 Rolle theorem (3) 43) 7 pull type, Cauchy 44) 8 Taylor formula 45) 9 values and