Задачи для самоподготовки

Тема

Номер задач

По учебнику [1]

По учебнику [2]

По учебнику [3]

По учебнику [4]

1

2

3

4

5

РАЗДЕЛ I. Введение в анализ

1.Функции

5.1, 5.5 – 5.7

5.1, 5.4, 5.6, 5.7а

5.1, 5.2, 5.6 – 5.8, 5.12, 5.15

1.1, 1.2, 1.6 – 1.8, 1.12, 1.15

5.12 – 5.16, 5.22 – 5.26, 5.36, 5.37

5.16 – 5.19, 5.23 – 5.31, 5.46, 5.47

1.16 – 1.19, 1.23 – 1.31, 1.46, 1.47

2. Пределы и непре-рывность

6.1 – 6.3, 6.5, 6.6, 6.8 – 6.11, 6.13, 6.14

6.1 – 6.6, 6.12 – 6.17, 6.45, 6.46, 6.68, 6.69, 6.97 – 6.99, 6.168, 6.169

6.1 – 6.3, 6.5, 6.6, 6.8 –

– 6.11, 6.81, 6.155

2.1 – 2.3, 2.5, 2.6, 2.8 –

– 2.11, 2.81, 2.155

6.18, 6.20 –6.27, 6.33–6.36, 6.38– 6.41

6.7 – 6.9, 6.11, 6.18 – 6.23, 6.25 – 6.27,6.30 –– 6.34, 6.36– – 6.39, 6.43, 6.44, 6.47 – 6.67, 6.70 – 6.96, 6.100 – 6.120, 6.170 – 6.175

6.12 – 6.79, 6.110 – 6.132, 6.146 – 6.153, 6.156 –

– 6.165

2.12 – 2.79, 2.110 – 2.132, 2.146 – 2.153, 2.156 –

– 2.165

РАЗДЕЛ II. Дифференциальное исчисление

3. Производная

7.1 – 7.8, 7.10, 7.13, 7.15 – 7.17

7.1, 7.2, 7.13, 7.15, 7.109, 7.110

7.1 – 7.8, 7.10, 7.19 – 7.22, 7.25, 7.105, 7.106

3.1 – 3.8, 3.10, 3.19 – 3.22, 3.25, 3.105, 3.106

7.20 – 7.29,7.35, 7.42, 7.43, 7.46– 7.49

7.3, 7.5 – 7.8, 7.9, 7.10, 7.21, 7.25, 7.26, 7.28 – 7.31, 7.34 – –7.37, 7.41, 7.42 – 7.46, 7.48, 7.53, 7.54, 7.113 – 7.115, 7.122 – 7.127

7.26–7.51, 7.64, 7.65, 7.90 – –7.100, 7.107–7.115, 7.117– – 7.119

3.26–3.51, 3.64, 3.65, 3.90 – –3.100, 3.107–3.115, 3.117– – 3.119

4.Приложение производной

8.1– 8.3,8.4–8.7, 8.9, 8.11 – 8.15, 8.17

8.1, 8.9, 8.10, 8.13, 8.14, 8.35, 8.36, 8.38 – 8.40, 8.94 – 8.97

8.1 – 8.8, 8.10, 8.12 – 8.17, 8.25, 8.26, 8.28 – 8.30, 8.51, 8.52, 8.54 – 8.56, 8.110 –

–8.113

4.1 – 4.8, 4.10, 4.12 – 4.17, 4.25, 4.26, 4.28 – 4.30, 4.51, 4.52, 4.54 – 4.56, 4.110 –

–4.113

8.19–8.34, 8.41– 8.53

8.4 – 8.6, 8.15 – 8.22, 8.25, 8.27 – 8.30, 8.41, 8.52, 8.55 – –8.57,8.69 – 8.71, 8.75 – 8.77, 8.100 – 8.102, 8.105, 8.106, 8.108 – 8.118, 8.120, 8.121, 8.123, 8.124

8.20–8.23, 8.31 – 8.38, 8.41, 8.43–8.46,8.57–8.73, 8.75, 8.77 – 8.79, 8.81, 8.82,8.84 – –8.87, 8.89, 8.91– 8.94, 8.116 – 8.118, 8.121, 8.122, 8.124 – 8.134, 8.136, 8.137, 8.139, 8.140

4.20–4.23, 4.31 – 4.38, 4.41, 4.43–4.46,4.57–4.73, 4.75, 4.77 – 4.79, 4.81, 4.82,4.84 – –4.87, 4.89, 4.91– 4.94, 4.116 – 4.118, 4.121, 4.122, 4.124 – 4.134, 4.136, 4.137, 4.139, 4.140

5.Дифференциал функции

9.1, 9.3, 9.5

9.1, 9.2, 9.6

7.12 – 7.14, 7.16, 7.120

3.12 – 3.14, 3.16, 3.120

9.6 – 9.12

9.7 – 9.12, 9.13 – 9.17

7.122 – 7.125, 7.127, 7.128, 7.130, 7.132, 7.134 – 7.138, 7.140, 7.141

3.122 – 3.125, 3.127, 3.128, 3.130, 3.132, 3.134 – 3.138, 3.140, 3.141

РАЗДЕЛ III. Функции нескольких переменных

6.Функция несколь-ких переменных

15.7, 15.9, 15.13

15.1 – 15.3, 15.27, 15.88 –

–15.90

9.1, 9.2, 9.6 – 9.9, 9.13 –

– 9.15, 9.40, 9.41, 9.69 –

– 9.71, 9.101 – 9.103

5.1, 5.2, 5.6 – 5.9, 5.13 –

– 5.15, 5.40, 5.41, 5.69 –

– 5.71, 5.101 – 5.103

15.23 – 15.32, 15.39, 15.40

15.6 –15.11,15.14–15.19, 15.31, 15.33–15.36, 15.38, 15.91 – 15.98

9.19 – 9.24, 9.44–9.51, 9.75– – 9.78, 9.80 – 9.88, 9.104 –

– 9.109

5.19 – 5.24, 5.44–5.51, 5.75– – 5.78, 5.80 – 5.88, 5.104 –

– 5.109

РАЗДЕЛ IV. Интегральное исчисление и дифференциальные уравнения

7.Неопределенный интеграл

10.1–10.4,10.6 – – 10.11, 10.13, 10.14, 10.18а, 10.23, 10.24а, 10.25 – 10.27

10.1, 10.19, 10.20, 10.73, 10.105, 10.106, 10.132

10.1 – 10.4, 10.6 – 10.8, 10.10, 10.12 – 10.14, 10.19, 10.41, 10.42, 10.95, 10.155

6.1 – 6.4, 6.6 – 6.8, 6.10, 6.12 – 6.14, 6.19, 6.41, 6.42, 6.95, 6.155

10.33 – 10.39, 10.41 – 10.45, 10.47 – 10.54, 10.56 – 10.59, 10.61, 10.63 –

– 10.65, 10.68 –

– 10.70

10.2 – 10.4, 10.6 – 10.10, 10.13 – 10.15, 10.18, 10.21, 10.22, 10.24, 10.25, 10.28 –

– 10.34,10.37,10.38,10.42–

–10.56, 10.58 – 10.65, 10.75 – 10.81, 10.84, 10.85, 10.92, 10.93, 10.96, 10.103, 10.104, 10.107, 10.116,10.117, 10.133, 10.135 –10.136, 10.138, 10.140, 10.141

10.20 – 10.22, 10.24 – 10.32, 10.35 – 10.37, 10.43, 10.44, 10.46,10.47,10.50–10.56, 10.59, 10.60, 10.64 – 10.78, 10.80–10.87,10.97 – 10.107, 10.114,10.115,10.118,10.125 – 10.126, 10.156 – 10.161, 10.163 – 10.167

6.20 – 6.22, 6.24 – 6.32, 6.35 – 6.37, 6.43, 6.44, 6.46,6.47,6.50–6.56, 6.59, 6.60, 6.64 – 6.78, 6.80–6.87,6.97 – 6.107, 6.114,6.115,6.118,6.125, 6.126, 6.156 – 6.161, 6.163 – 6.167

8. Определенный интеграл

11.1–11.7,11.10, 11.11, 11.18 ––11.22

11.1, 11.30, 11.73, 11.91

11.1 – 11.7,11.13, 11.14, 11.16, 11.23, 11.55, 11.112, 11.136

7.1 – 7.7, 7.13, 7.14, 7.16, 7.23, 7.55, 7.112, 7.136

11.25 – 11.30, 11.32 – 11.35, 11.37 – 11.39, 11.41 – 11.52, 11.57, 11.59

11.2 – 11.12, 11.14, 11.21, 11.22, 11.25, 11.26, 11.27, 11.29, 11.36 – 11.41, 11.43 –

–11.45, 11.47 – 11.51, 11.75, 11.76 – 11.78, 11.81, 11.82, 11.92, 11.93 – 11.95

11.24 – 11.38, 11.40, 11.47, 11.48, 11.51 – 11.53, 11.55а, 11.61 – 11.66, 11.68 – 11.80, 11.82 – 11.86, 11.114 –

–11.124, 11.126, 11.127, 11.133, 11.137 – 11.140

7.24 – 7.38, 7.40, 7.47, 7.48, 7.51 – 7.53, 7.55а, 7.61 – 7.66, 7.68 – 7.80, 7.82 – 7.86, 7.114 – 7.124, 7.126, 7.127, 7.133, 7.137 – 7.140

9. Дифференциаль-ные уравнения **

12.2–12.5, 12.8– – 12.13

12.1 – 12.4, 12.15, 12.16, 12.31, 12.32, 12.45, 12.46

12.1– 2.4, 12.8–12.13, 12.29–– 12.32, 12.43, 12.59, 12.73

12.1– 12.4, 12.8–12.13, 12.32– – 12.36, 12.47, 12.73, 12.77

12.25 – 12.36, 12.30 – 12.48

12.5 – 12.10, 12.11, 12.12, 12.14, 12.17 – 12.29, 12.33 –

–12.41, 12.43, 12.44, 12.48, 12.49, 12.54, 12.58, 12.59

12.33 – 12.42, 12.45 – 12.51, 12.55 – 12.57, 12.61 – 12.70, 12.76, 12.77, 12.79 – 12.82, 12.86, 12.87

12.37 – 12.46, 12.49 – 12.55, 12.59 – 12.61, 12.65 – 12.74, 12.80, 12.81, 12.83 – 12.86, 12.90, 12.91

РАЗДЕЛ V. Интегральное исчисление и дифференциальные уравнения

10.Числовые ряды*

13.1 – 13.12, 13.14, 13.15

13.1 – 13.3, 13.14 – 13.16, 13.68 – 13.70

13.1 – 13.9, 13.11 – 13.14, 13.16, 13.31 – 13.33, 13.35, 13.36, 13.103, 13.105

9.1 – 9.9, 9.11 – 9.14, 9.16, 9.31 – 9.33, 9.35, 9.36, 9.103, 9.105

13.16 – 13.40, 13.42 – 13.45

13.4 – 13.7, 13.8 – 13.13, 13.17 – 13.23, 13.25, 13.27, 13.29 – 13.36, 13.39 – 13.50, 13.53 – 13.55, 13.56 – 13.63, 13.66, 13.67, 13.71 – 13.83, 13.85 – 13.90

13.17, 13.18 – 13.22, 13.25 – –13.30, 13.37– 13.50,13.53 – –13.55, 13.59, 13.64 – 13.79, 13.82 – 13.96, 13.98, 13.101, 13.102, 13.106 – 13.130

9.17, 9.18 – 9.22, 9.25 – –9.30, 9.37– 9.50,9.53 – 9.55, 9.59, 9.64 – 9.79, 9.82 – 9.96, 9.98, 9.101, 9.102, 9.106 – 9.130