《曾光菊高等數(shù)學(xué)》課程實(shí)施大綱

《高等數(shù)學(xué)A》課程實(shí)施大綱

目錄

1.教學(xué)理念.....................................................................14

2.課程介紹.....................................................................15

2.1課程的性質(zhì)..............................................................15

2.2課程在學(xué)科專業(yè)結(jié)構(gòu)中的地位、作用.......................................15

2.3課程的前沿及發(fā)展趨勢(shì)....................................................15

2.4學(xué)習(xí)本課程的必要性......................................................15

3.教師簡(jiǎn)介.......................................................錯(cuò)誤!未定義書(shū)簽。

3.1教師的職稱、學(xué)歷.........................................錯(cuò)誤!未定義書(shū)簽。

3.2教育背景.................................................錯(cuò)誤!未定義書(shū)簽。

3.3研究興趣（方向）.........................................錯(cuò)誤!未定義書(shū)簽。

4.先修課程.....................................................................15

5.課程目標(biāo).....................................................................16

5.1知識(shí)與技能方面...........................................................16

5.2過(guò)程與方法方面...........................................................16

5.3情感、態(tài)度與價(jià)值觀方面..................................................16

6.課程內(nèi)容......................................................................17

6.1課程的內(nèi)容概要...........................................................17

6.2教學(xué)重點(diǎn)、難點(diǎn)...........................................................17

6.3學(xué)時(shí)安排................................................................18

7.《高等數(shù)學(xué)》理論課程實(shí)施過(guò)程...................................................19

7.1教學(xué)單元一...............................................................19

7.1.1教學(xué)目標(biāo)..............................................................19

7.1.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................19

7.1.3教學(xué)過(guò)程..............................................................19

7.1.4作業(yè)安排及課后反思....................................................22

7.1.5參考資料..............................................................22

7.2教學(xué)單元二................................................................22

7.2.1教學(xué)目標(biāo)...............................................................23

7.2.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................23

7.2.3教學(xué)過(guò)程...............................................................23

7.2.4作業(yè)安排及課后反思.....................................................25

7.2.5參考資料...............................................................25

7.3教學(xué)單元三................................................................26

7.3.1教學(xué)目標(biāo)...............................................................26

7.3.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................26

7.3.3教學(xué)過(guò)程...............................................................26

7.3.4作業(yè)安排及課后反思.....................................................28

7.3.5參考資料...............................................................29

7.4教學(xué)單元四................................................................29

7.4.1教學(xué)目標(biāo)...............................................................29

7.4.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................29

7.4.3教學(xué)過(guò)程...............................................................30

7.4.4作業(yè)安排及課后反思.....................................................31

7.4.5參考資料...............................................................31

7.5教學(xué)單元五................................................................31

7.5.1教學(xué)目標(biāo)...............................................................31

7.5.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................31

7.5.3教學(xué)過(guò)程...............................................................32

7.5.4作業(yè)安排及課后反思.....................................................32

7.5.5參考資料...............................................................33

7.6教學(xué)單元六................................................................33

7.6.1教學(xué)目標(biāo)...............................................................33

7.6.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................33

7.6.3教學(xué)過(guò)程...............................................................33

7.6.4作業(yè)安排及課后反思.....................................................34

7.6.5參考資料...............................................................34

7.7教學(xué)單元七................................................................35

7.7.1教學(xué)目標(biāo)...............................................................35

7.7.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................35

7.7.3教學(xué)過(guò)程...............................................................35

7.7.4作業(yè)安排及課后反思.....................................................36

7.7.5參考資料...............................................................36

7.8教學(xué)單元八................................................................36

7.8.1教學(xué)目標(biāo)...............................................................37

7.8.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................37

7.8.3教學(xué)過(guò)程...............................................................37

7.8.4作業(yè)安排及課后反思.....................................................38

7.8.5參考資料...............................................................38

7.9教學(xué)單元九................................................................38

7.9.1教學(xué)目標(biāo)...............................................................39

7.9.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）...............................................39

7.9.3教學(xué)過(guò)程...............................................................39

7.9.4作業(yè)安排及課后反思.....................................................41

7.9.5參考資料...............................................................41

7.10教學(xué)單元十...............................................................42

7.10.1教學(xué)目標(biāo)...............................................................42

7.10.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................42

7.10.3教學(xué)過(guò)程...............................................................42

7.10.4作業(yè)安排及課后反思....................................................44

7.10.5參考資料...............................................................44

7.11教學(xué)單元H-......................................................................................................................44

7.11.1教學(xué)目標(biāo)...............................................................44

7.11.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................45

7.11.3教學(xué)過(guò)程...............................................................45

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7.11.4作業(yè)安排及課后反思....................................................46

7.11.5參考資料...............................................................46

7.12教學(xué)單元十二.............................................................46

7.12.1教學(xué)目標(biāo).............................................................46

7.12.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）............................................46

7.12.3教學(xué)過(guò)程...............................................................47

7.12.4作業(yè)安排及課后反思....................................................47

7.12.5參考資料...............................................................48

7.13教學(xué)單元十三.............................................................48

7.13.1教學(xué)目標(biāo)...............................................................48

7.13.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................48

7.13.3教學(xué)過(guò)程...............................................................48

7.13.4作業(yè)安排及課后反思....................................................50

7.13.5參考資料...............................................................50

7.14教學(xué)單元十四.............................................................50

7.14.1教學(xué)目標(biāo)...............................................................50

7.14.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................50

7.14.3教學(xué)過(guò)程...............................................................51

7.14.4作業(yè)安排及課后反思....................................................52

7.14.5參考資料...............................................................52

7.15教學(xué)單元十五.............................................................53

7.15.1教學(xué)目標(biāo)...............................................................53

7.15.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................53

7.15.3教學(xué)過(guò)程...............................................................53

7.15.4作業(yè)安排及課后反思....................................................54

7.15.5參考資料...............................................................54

7.16教學(xué)單元一十六...........................................................54

7.16.1教學(xué)目標(biāo)...............................................................54

7.16.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................55

7.16.3教學(xué)過(guò)程...............................................................55

7.16.4件業(yè)安排及課后反思....................................................56

7.16.5參考資料...............................................................57

7.17教學(xué)單元十七.............................................................57

7.17.1教學(xué)目標(biāo)...............................................................57

7.17.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................57

7.17.3教學(xué)過(guò)程...............................................................57

7.17.4作業(yè)安排及課后反思....................................................59

7.17.5參考資料...............................................................59

7.18教學(xué)單元十八.............................................................59

7.18.1教學(xué)目標(biāo)...............................................................59

7.18.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................59

7.18.3教學(xué)過(guò)程...............................................................60

7.18.4作業(yè)安排及課后反思....................................................60

7.18.5參考資料...............................................................61

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7.19教學(xué)單元十九.............................................................61

7.19.1教學(xué)目標(biāo).............................................................61

7.19.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）............................................61

7.19.3教學(xué)過(guò)程...............................................................62

7.19.4作業(yè)安排及課后反思....................................................63

7.19.5參考資料...............................................................63

7.20教學(xué)單元二十.............................................................63

7.20.1教學(xué)目標(biāo)...............................................................63

7.20.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................63

7.20.3教學(xué)過(guò)程...............................................................64

7.20.4作業(yè)安排及課后反思....................................................65

7.20.5參考資料...............................................................66

7.21教學(xué)單元二H~.......................................................................................................................66

7.21.1教學(xué)目標(biāo)...............................................................66

7.21.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................66

7.21.3教學(xué)過(guò)程...............................................................67

7.21.4作業(yè)安排...............................................................67

7.21.5參考資料...............................................................67

7.22教學(xué)單元二十二...........................................................68

7.22.1教學(xué)目標(biāo)...............................................................68

7.22.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................68

7.22.3教學(xué)過(guò)程...............................................................68

7.22.4作業(yè)安排...............................................................69

7.22.5參考資料...............................................................69

7.23教學(xué)單元二十三...........................................................69

7.23.1教學(xué)目標(biāo)...............................................................70

7.23.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................70

7.23.3教學(xué)過(guò)程...............................................................70

7.23.4作業(yè)安排...............................................................71

7.23.5參考資料...............................................................71

7.24教學(xué)單元二十四...........................................................71

7.24.1教學(xué)目標(biāo)...............................................................71

7.24.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................71

7.24.3教學(xué)過(guò)程...............................................................72

7.24.4作業(yè)安排及課后反思....................................................77

7.24.5參考資料..............................................................77

7.25教學(xué)單元二十五...........................................................77

7.25.1教學(xué)目標(biāo)...............................................................78

7.25.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................78

7.25.3教學(xué)過(guò)程...............................................................78

7.25.4作業(yè)安排及課后反思....................................................81

7.25.5參考資料...............................................................81

7.26教學(xué)單元二十六...........................................................81

7.26.1教學(xué)目標(biāo)...............................................................82

4

7.26.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................82

7.26.3教學(xué)過(guò)程...............................................................82

7.2G.4作業(yè)安排及課后反思....................................................86

7.26.5參考資料..............................................................87

7.27教學(xué)單元二十七...........................................................87

7.27.1教學(xué)目標(biāo)...............................................................87

7.27.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................87

7.27.3教學(xué)過(guò)程...............................................................87

7.27.4作業(yè)安排及課后反思....................................................91

7.27.5參考資料...............................................................91

7.28教學(xué)單元二十八...........................................................91

7.28.1教學(xué)目標(biāo)...............................................................92

7.28.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................92

7.28.3教學(xué)過(guò)程...............................................................92

7.28.4作業(yè)安排及課后反思....................................................96

7.28.5參考資料...............................................................96

7.29教學(xué)單元二十九...........................................................96

7.29.1教學(xué)目標(biāo)...............................................................96

7.29.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）..............................................97

7.29.3教學(xué)過(guò)程...............................................................97

7.29.4作業(yè)安排及課后反思....................................................106

7.29.5參考資料..............................................................106

7.30教學(xué)單元三十............................................................106

7.30.1教學(xué)目標(biāo)..............................................................106

7.30.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................106

7.30.3教學(xué)過(guò)程..............................................................107

7.30.4作業(yè)安排及課后反思....................................................108

7.30.5參考資料..............................................................108

7.31教學(xué)單元三H--.....................................................................................................................108

7.31.1教學(xué)目標(biāo)..............................................................108

7.31.2教學(xué)內(nèi)容（含重點(diǎn)，難點(diǎn)）.............................................109

7.31.3教學(xué)過(guò)程..............................................................109

7.31.4作業(yè)安排..............................................................109

7.31.5參考資料..............................................................110

7.32教學(xué)單元三十二..........................................................110

7.32.1教學(xué)目標(biāo)..............................................................110

7.32.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................110

7.32.3教學(xué)過(guò)程..............................................................110

7.32.4作業(yè)安排及課后反思....................................................111

7.32.5參考資料..............................................................III

7.33教學(xué)單元三十三..........................................................112

7.33.1教學(xué)目標(biāo)..............................................................112

7.33.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................112

7.33.3教學(xué)過(guò)程..............................................................112

5

7.33.4作業(yè)安排及課后反思....................................................113

7.33.5參考資料.............................................................113

7.34教學(xué)單元三十四..........................................................114

7.34.1教學(xué)目標(biāo)..............................................................114

7.34.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................114

7.34.3教學(xué)過(guò)程..............................................................114

7.34.4作業(yè)安排及課后反思....................................................115

7.34.5參考資料..............................................................115

7.35教學(xué)單元三十五..........................................................115

7.35.1教學(xué)目標(biāo)..............................................................115

7.35.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................116

7.35.3教學(xué)過(guò)程..............................................................116

7.35.4作業(yè)安排及課后反思....................................................116

7.35.5參考資料..............................................................116

7.36教學(xué)單元三十六..........................................................117

7.36.1教學(xué)目標(biāo)..............................................................117

7.36.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................117

7.36.3教學(xué)過(guò)程..............................................................117

7.36.4作業(yè)安排及課后反思....................................................119

7.36.5參考資料..............................................................119

7.37教學(xué)單元三十七..........................................................120

7.2.1教學(xué)目標(biāo)...............................................................120

7.37.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................120

7.37.3教學(xué)過(guò)程..............................................................120

7.37.4作業(yè)安排及課后反思....................................................121

7.37.5參考資料..............................................................122

7.38教學(xué)單元三十八..........................................................122

7.38.1教學(xué)目標(biāo)..............................................................122

7.38.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................122

7.38.3教學(xué)過(guò)程..............................................................122

7.38.4作業(yè)安排及課后反思...................................................123

7.38.5參考資料..............................................................123

7.39教學(xué)單元三十九..........................................................124

7.39.1教學(xué)目標(biāo)..............................................................124

7.39.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................124

7.39.3教學(xué)過(guò)程..............................................................124

7.39.4作業(yè)安排及課后反思....................................................125

7.39.5參考資料..............................................................125

7.40教學(xué)單元四十.............................................................125

7.40.1教學(xué)目標(biāo)..............................................................125

7.40.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................125

7.40.3教學(xué)過(guò)程..............................................................126

7.40.4作業(yè)安排及課后反思...................................................128

7.40.5參考資料..............................................................129

6

7.41教學(xué)單元四H??一..........................................................129

7.4L1教學(xué)目標(biāo)..............................................................129

7.41.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................129

7.41.3教學(xué)過(guò)程..............................................................130

7.41.4作業(yè)安排及課后反思....................................................133

7.41.5參考資料..............................................................133

7.42教學(xué)單元四十二..........................................................133

7.42.1教學(xué)目標(biāo)..............................................................133

7.42.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................134

7.42.3教學(xué)過(guò)程..............................................................134

7.42.4作業(yè)安排及課后反思....................................................136

7.42.5參考資料..............................................................136

7.43教學(xué)單元四十三..........................................................136

7.43.1教學(xué)目標(biāo)..............................................................137

7.43.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................137

7.43.3教學(xué)過(guò)程..............................................................137

7.43.4作業(yè)安排及課后反思...................................................139

7.43.5參考資料..............................................................139

7.44教學(xué)單元四十四..........................................................140

7.44.1教學(xué)目標(biāo)..............................................................140

7.44.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................140

7.44.3教學(xué)過(guò)程..............................................................140

7.44.4作業(yè)安排及課后反思....................................................141

7.44.5參考資................................................................141

7.45教學(xué)單元四十五..........................................................142

7.45.1教學(xué)目標(biāo)..............................................................142

7.45.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................142

7.45.3教學(xué)過(guò)程..............................................................142

7.45.4作業(yè)安排及課后反思....................................................143

7.45.5參考資料..............................................................143

7.46教學(xué)單元四十六..........................................................143

7.46.1教學(xué)目標(biāo)..............................................................144

7.46.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................144

7.46.3教學(xué)過(guò)程..............................................................144

7.46.4作業(yè)安排及課后反思....................................................144

7.46.5參考資料..............................................................145

7.47教學(xué)單元四十七..........................................................145

7.47.1教學(xué)目標(biāo)..............................................................145

7.47.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................145

7.47.3教學(xué)過(guò)程..............................................................145

7.47.4作業(yè)安排及課后反思....................................................146

7.47.5參考資料.............................................................146

7.48教學(xué)單元四十八..........................................................146

7.48.1教學(xué)目標(biāo).............................................................146

7

7.48.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................147

7.48.3教學(xué)過(guò)程..............................................................147

7.48.4作業(yè)安排..............................................................148

7.48.5參考資料..............................................................148

7.49教學(xué)單元四十九..........................................................148

7.49.1教學(xué)目標(biāo)..............................................................148

7.49.2教學(xué)內(nèi)容（含重點(diǎn)、難點(diǎn)）.............................................149

7.49.3教學(xué)過(guò)程..............................................................149

7.49.4作業(yè)安排及課后反思....................................................151

7.49.5參考資料..............................................................151

7.50教學(xué)單元五十........................