ภาคการศึกษา ภาคต น /2563...ต วอย างท 2 น กศ กษาได คะแนนก จกรรม 13 คะแนน และท าข

มหาวทยาลยสโขทยธรรมาธราช

กจกรรมประจาชดวชา

97210 คณตศาสตรประยกตสาหรบเทคโนโลยอตสาหกรรม ภาคการศกษา ภาคตน/2563

สาขาวชาวทยาศาสตรและเทคโนโลย

2

คานา

เนองดวยมหาวทยาลยสโขทยธรรมาธราช มงใหผเรยนและนกศกษาไดมสวนรวมในกระบวนการศกษา

เลาเรยนครบวงจร ตงแตกอนเรยน ระหวางเรยน และหลงจากเรยนเสรจสนไปแลว โดยจดระบบการประเมนครบ

สวน ทงการประเมนกอนเรยน ระหวางเรยน และประเมนผลสดทาย

การประเมนกจกรรม เปนสวนหนงของการวดผลสมฤทธทางการเรยนสดทาย จงใหผเรยนและ

นกศกษาทากจกรรมภาคปฏบตตามทกาหนดใหโดยมวตถประสงคเพอใหผเรยนและนกศกษามความสามารถ ดงน

1. สรปหรอประมวลเนอหาสาระของเอกสารการสอนทงชดวชาหรอกลมเนอหากลมใดกลมหนง

2. ประยกตความรจากเอกสารการสอนเพอจดทาโครงการพฒนางานอยางใดอยางหนง ท

นกศกษาทา

3. พฒนาระบบ โครงการ ชนงาน ฯลฯ ตามกระบวนการหรอขนตอนทแสดงไวในหนวยใดหนวย

หนงของเอกสารการสอน

4. คด วเคราะห นาเสนอขอมลและความคดในเชงสรางสรรค

นอกจากนการทากจกรรมประจาชดวชายงทาใหนกศกษาไดศกษาเอกสารการสอนตงแตตนภาค

การศกษา และจากการวจยพบวานกศกษาททากจกรรมจะมโอกาสสอบผานในปลายภาคมากกวานกศกษาทไมทา

กจกรรม

คณะกรรมการบรหารชดวชาความรทวไปเกยวกบการพมพขอใหนกศกษาทกทานประสบความสาเรจ

ในการศกษาชดวชาน และสามารถนาความรไปเปนประโยชนตอการดาเนนชวต และการทางานสบไป

คณะกรรมการบรหารชดวชา

97210 คณตศาสตรประยกตสาหรบเทคโนโลยอตสาหกรรม

1 สงหาคม 63

3

เกณฑการใหคะแนนกจกรรมจะพจารณาจากการตอบทตรงประเดนคาถาม การครอบคลมความถกตอง

ของคาตอบ ความชดเจนของการนาเสนอ ความละเอยดประณตของชนงาน

มหาวทยาลยไมบงคบใหนกศกษาทกคนตองทากจกรรม นกศกษาอาจเลอกทาหรอไมทากได โดยการ

ประเมนปลายภาคสาหรบชดวชาน แบงออกเปน 2 กรณ

กรณท 1 นกศกษาทากจกรรม มหาวทยาลยจะแบงคะแนนออกเปน 2 สวน สวนแรกจากคะแนนสอบ

ปลายภาคคดรอยละ 80 และสวนทสองจากคะแนนกจกรรมรอยละ 20 และคะแนนกจกรรมจะนาไปใชทงการ

ประเมนผลสอบไลและสอบซอม นกศกษาทมไดสงกจกรรมในการสอบไลจะสงกจกรรมเพอเปนคะแนนในการสอบซอม

ไมได

กรณท 2 นกศกษาไมทากจกรรม มหาวทยาลยจะประเมนผลจากการสอบปลายภาคเพยงอยางเดยว

ในการประเมนผลปลายภาค นกศกษากลมททากจกรรมและไมทากจกรรมจะตองประเมนผลโดยใช

ขอสอบฉบบเดยวกน นกศกษากลมททากจกรรมมคะแนนเตม 80 คะแนน สวนนกศกษากลมทไมทากจกรรมจะม

คะแนนเตม 100 คะแนน สาหรบนกศกษาททากจกรรม มหาวทยาลยจะพจารณาใหนกศกษาไดประโยชนสงสด โดย

การนาคะแนนสอบปลายภาคของนกศกษาเพยงอยางเดยวมาเปรยบเทยบกบการคดคะแนนสอบปลายภาครวมกบ

คะแนนกจกรรม แลวนาคะแนนสวนทมากกวาไปใชในการตดสนผลการสอบใหกบนกศกษา ดงตวอยางตอไปน

ตวอยางท 1 นกศกษาไดคะแนนกจกรรม 18 คะแนน และทาขอสอบได 70 ขอ (คดเปน 70 x 0.66666

เทากบ 46.67 คะแนน) นกศกษาจะไดคะแนนกจกรรมรวมกบคะแนนสอบปลายภาค 18 + 46.67 เทากบ 64.67

คะแนน กรณคดคะแนนจากการสอบปลายภาคเพยงอยางเดยว นกศกษาจะได 70 x 0.83333 เทากบ 58.33 คะแนน

มหาวทยาลยจะเลอกใหนกศกษาไดคะแนน 64.67 คะแนน

ตวอยางท 2 นกศกษาไดคะแนนกจกรรม 13 คะแนน และทาขอสอบได 92 ขอ (คดเปน 92 x 0.66666

เทากบ 61.33 คะแนน) นกศกษาจะไดคะแนนกจกรรมรวมกบคะแนนสอบปลายภาค 13 + 61.00 เทากบ 74.33

คะแนน กรณคดคะแนนจากการสอบปลายภาคเพยงอยางเดยว นกศกษาจะได 92 x 0.83333 เทากบ 76.67 คะแนน

มหาวทยาลยจะเลอกใหนกศกษาได 76.67 คะแนน

1. การประเมนผล

4

ใหนกศกษาดาเนนการดงน

1. กรอกขอมลและระบายรหสประจาตวนกศกษา รหสชดวชา รหสจงหวดใหครบถวนดวยดนสอ2B ลง

ในแบบกรอกคะแนน (สสม) ตามตวอยางในแบบกรอกคะแนน

2. ใหนกศกษาระมดระว งอย าใหแบบกรอกคะแนนฉกขาด ในกรณท ทาแบบกรอกคะแนน

ฉกขาดหรอสญหาย ใหนกศกษาเขยนชแจงมาพรอมกบกจกรรมทสงไปยงมหาวทยาลย โดยไมตอง

ถายเอกสารเพราะเครองอานจะไมอานเอกสารทมาจากเครองถายเอกสาร

3. ใหนกศกษาสงกจกรรมประจาชดวชาฉบบจรงไปยงมหาวทยาลยและสาเนากจกรรมททาเสรจแลวไว

1 ชด ไวเปนหลกฐาน

4. การสงกจกรรมประจาชดวชาภายในวนท 30 ตลาคม 2563

5. ใหจดทาหนาปกรายงานใหมขอความตามตวอยางทแนบมา

6. สงกจกรรมททาเสรจเรยบรอยแลวพรอมแบบกรอกคะแนนดวยตนเอง ณ สานกบรการการศกษา

มหาวทยาลยสโขทยธรรมาธราช หรอสงทางไปรษณยลงทะเบยน โดยจาหนาซองดงน

ในกรณทสงทางไปรษณยใหเกบสลปหรอตนขวการสง และถายเอกสารกจกรรมทสงไปมหาวทยาลยไว

เปนหลกฐาน ในการสงกจกรรมทกชน นกศกษาจะตองจดทาหนาปกรายงาน (ปรากฏในภาคผนวกทสงมาดวย)

7. นกศกษาสามารถตรวจสอบวาสานกบรการการศกษาไดรบกจกรรมทนกศกษาสงไปแลวหรอยง โดยโทรศพท

สอบถามหมายเลข 0-2982-9633 หรอโทรศพทตดตอสานกบรการการศกษา หมายเลข 0-2-504-7621 หรอ โทรศพท

ตดตอศนยสารสนเทศ หมายเลข 0-2503-3545-8 และ หมายเลข 0-2504-7191,0-2504-7193 โ ท ร ส า ร 0-2503-

3546 โทรศพทฝากขอความนอกวน-เวลาราชการ (ตลอด 24 ชวโมง) หมายเลข 0-2504-7191, 0-2504-7191 E-

mail : [email protected]

2. การสงกจกรรมประจาชดวชา

ศนยบรการการสอนทางไปรษณย

สานกบรการการศกษา

มหาวทยาลยสโขทยธรรมาธราช

ตาบลบางพด อาเภอปากเกรด

จงหวดนนทบร 11120

(กจกรรมประจาชดวชา 97210 คณตศาสตรประยกตสาหรบเทคโนโลย

อตสาหกรรม

สาขาวชาวทยาศาสตรและเทคโนโลย)

mailto:[email protected]

5

∀

ปกรายงาน


97210 คณตศาสตรประยกตสาหรบเทคโนโลยอตสาหกรรม

ภาคการศกษาท ภาคตน/2562

สาขาวชาวทยาศาสตรและเทคโนโลย

ชอนกศกษา………………………………………………………………………….

รหสประจาตวนกศกษา

ทอย …………………………………………………………….………………………………

……………………………………………………………………………...........................

โทรศพท (ถาม) …………………………………………………………….

ขาพเจาขอยอมรบการตดสนผลคะแนนภาคปฏบตจากผประเมนเปนทสด

ลงชอ…………………………………………….

(………………………………………………)

∀

6

กจกรรมประจาชดวชา 97210 คณตศาสตรประยกตสาหรบเทคโนโลยอตสาหกรรม คะแนนเตม 75

คะแนน คดเปน 20 คะแนน ใหนกศกษาตอบคาถามตอไปนทกขอใหครบถวนและตรงประเดน โดยการพมพ

หรอเขยนดวยลายมอตนเองเปนลายมอทอานงาย

หนวยท 1 (5 คะแนน)

ขอ 1 จงวเคราะหหาคา 𝐥𝐥𝐥𝐥𝐥𝐥 𝒙𝒙→𝟐𝟐

(𝒙𝒙𝟐𝟐+𝒙𝒙−𝟔𝟔)(𝟐𝟐𝒙𝒙+𝟑𝟑)(𝒙𝒙−𝟐𝟐)

คาแนะนา ใชหลกการพจารณาความตอเนองของฟงกชน และ การแยกตวประกอบ และสมบตการหารของพหนาม

(ตอบใหสมบรณภายในพนทเขยนทกาหนดให 1 หนากระดาษเทานน)

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3. เนอหากจกรรม

คะแนน

7


ขอ 2 จงวเคราะหหาคาอนพนธของ 𝒇𝒇(𝒙𝒙) = �𝒙𝒙𝟐𝟐+𝟑𝟑𝟑𝟑𝒆𝒆𝒙𝒙

คาแนะนาใชกฏลกโซ การหาอนพนธของผลหาร และการหาอนพนธของฟงกชนอดสย (ตอบใหสมบรณภายในพนท

เขยนทกาหนดให 1 หนากระดาษเทานน)

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คะแนน

8


ขอ 3 จงวเคราะหหาคาปรพนธตอเนองบนชวงของ ∫ (𝟐𝟐𝒙𝒙𝟑𝟑 + 𝟒𝟒𝒙𝒙𝟐𝟐 − 𝒙𝒙 + 𝟏𝟏)𝒅𝒅𝒙𝒙𝟑𝟑𝟎𝟎


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คะแนน

9


ขอ 4 จงวเคราะหหาคาปรพนธทละสวนของ ∫𝟑𝟑𝒙𝒙𝒆𝒆𝟑𝟑𝒙𝒙𝒅𝒅𝒙𝒙


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คะแนน

10


ขอ 5 จงวเคราะหหาพนทปดลอมดวยเสนโคงพาราโบลา 𝟒𝟒𝟒𝟒 − 𝟒𝟒𝟐𝟐 = 𝒙𝒙

คาแนะนา ให วาดภาพพาราโบลา ซงเปน พาราโบลาตะแคงซาย คาลไปทางซาย จดยอดอยท (4,2) ตดแกน y ท (0,0)

และ (0,4)


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คะแนน

11


ขอ 6 จงวเคราะหหาพจนทวไปของลาดบ 𝟏𝟏𝟏𝟏∙𝟒𝟒

,− 𝟏𝟏𝟑𝟑∙𝟖𝟖

, 𝟏𝟏𝟓𝟓∙𝟏𝟏𝟐𝟐

,− 𝟏𝟏𝟕𝟕∙𝟏𝟏𝟔𝟔

, …


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คะแนน

12


ขอ 7 จงวเคราะหหาคา 𝐥𝐥𝐥𝐥𝐥𝐥(𝒙𝒙,𝟒𝟒)→(𝟐𝟐,−𝟏𝟏/𝟐𝟐)

(𝒙𝒙−𝟒𝟒)𝟑𝟑(𝒙𝒙−𝟐𝟐)𝟐𝟐(𝟐𝟐𝟒𝟒+𝟏𝟏)(𝒙𝒙−𝟐𝟐)(𝟐𝟐𝟒𝟒+𝟏𝟏)


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คะแนน

13


ขอ 8 กาหนดให 𝒇𝒇(𝒙𝒙,𝟒𝟒) = 𝟓𝟓𝒙𝒙𝟓𝟓𝟒𝟒(𝒙𝒙+𝟒𝟒𝟐𝟐)𝟐𝟐

จงวเคราะหหาคา 𝝏𝝏𝒇𝒇𝝏𝝏𝒙𝒙

และ 𝛛𝛛𝒇𝒇𝛛𝛛𝛛𝛛


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คะแนน

14


ขอ 9 จงวเคราะหหาคา เวกเตอรสมผส 𝑻𝑻�� (𝒕𝒕) และ เวกเตอรแนวฉากหนงหนวย 𝑵𝑵�� (𝒕𝒕) ของเสนโคง 𝒓𝒓� (𝒕𝒕) =

𝟐𝟐𝒕𝒕𝒊𝒊 − 𝟒𝟒𝒕𝒕𝟐𝟐𝒋𝒋 − 𝟏𝟏𝟎𝟎𝒕𝒕𝒌𝒌�� , 𝒕𝒕 > 𝟎𝟎


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คะแนน

15


ขอ 10 จงวเคราะหหาคาปรพนธรอบพนท R คอ ∭ 𝒇𝒇(𝒙𝒙,𝟒𝟒, 𝒛𝒛)𝒅𝒅𝒛𝒛𝒅𝒅𝟒𝟒𝒅𝒅𝒙𝒙 𝑹𝑹 เมอ 𝒇𝒇(𝒙𝒙,𝟒𝟒, 𝒛𝒛) = 𝟐𝟐𝟒𝟒𝒛𝒛

และ R เปนรปสเหลยมมมฉาก โดยท 𝑹𝑹 = {(𝒙𝒙,𝟒𝟒, 𝒛𝒛)| − 𝟐𝟐 ≤ 𝒙𝒙 ≤ 𝟐𝟐,−𝟏𝟏 ≤ 𝟒𝟒 ≤ 𝟐𝟐, 𝟎𝟎 ≤ 𝒛𝒛 ≤

𝟓𝟓}


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คะแนน

16


ขอ 11 จงวเคราะหหาจาโคเบยนของการแปลงตวแปร x,y ไปเปนตวแปร u,v เพอหาคาปรพนธสองชนของ 𝒙𝒙 =𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐, 𝟒𝟒 = 𝟐𝟐𝒆𝒆𝟑𝟑𝟐𝟐 (ตอบใหสมบรณภายในพนทเขยนทกาหนดให 1 หนากระดาษเทานน)

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คะแนน

17


ขอ 12 จงวเคราะหหาผลเฉลยของสมการเชงอนพนธ 𝟒𝟒′ + 𝟒𝟒𝒙𝒙

= 𝒆𝒆𝟐𝟐𝒙𝒙

𝟒𝟒𝒙𝒙 (ตอบใหสมบรณภายในพนทเขยนท

กาหนดให 1 หนากระดาษเทานน)

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คะแนน

18


ขอ 13 จงวเคราะหหาผลเฉลยทวไปของสมการเชงอนพนธ 𝟐𝟐 𝒅𝒅𝟐𝟐𝟒𝟒𝒅𝒅𝒙𝒙

− 𝟖𝟖 𝒅𝒅𝟒𝟒𝒅𝒅𝒙𝒙

+ 𝟏𝟏𝟎𝟎𝟒𝟒 = 𝟏𝟏𝟎𝟎𝒆𝒆𝒙𝒙(ตอบให

สมบรณภายในพนทเขยนทกาหนดให 1 หนากระดาษเทานน)

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คะแนน

19


ขอ 14 จงหาอนกรมฟเรยรของ 𝒇𝒇(𝒙𝒙) = 𝟐𝟐𝒙𝒙𝟐𝟐 + 𝟏𝟏 เมอ -3 < x < 3 และ 𝒇𝒇(𝒙𝒙 + 𝟒𝟒) = 𝒇𝒇(𝒙𝒙) (ตอบให


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คะแนน

20


ขอ 15 จงหารากทเปนบวกของสมการพนนาม 𝒙𝒙𝟐𝟐 − 𝟒𝟒𝒙𝒙 + 𝟒𝟒 = 𝟎𝟎 โดยวธแบงครงชวงโดยกาหนดใหคาขอบ

ซาย (xL) และคาขอบขวา (xR) เรมตนเปน 0 และ 1 ตามลาดบ โดยแสดงการคานวนในรปแบบตาราง (ตอบให


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คะแนน

21

ใหนกศกษาตอบคาถามประเมนการจดการเรยนการสอนชดวชาวสดทางการพมพและบรรจภณฑ

โดยตอบในแบบกรอกน

1. กจกรรมประจาชดวชานชวยใหนกศกษามความเขาใจเนอหาในเอกสารการสอนมากขน

เหนดวย

ไมเหนดวย โปรดระบเหตผล

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2. นกศกษาคดวาคาถามโดยรวมทปรากฏอยในกจกรรมประจาชดวชาน มความยากมากนอยเพยงใด โดยระบเปน 5

ระดบ ดงน

นอยทสด นอย ปานกลาง มาก มากทสด

3. นกศกษาคดวาคาถามขอใดทควรปรบปรง โปรดระบเหตผล

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4. ความพงพอใจโดยรวมของการจดการเรยนการสอนของชดวชาน มากนอยเพยงใด โดยระบเปน 5 ระดบ ดงน

นอยทสด นอย ปานกลาง มาก มากทสด

5. นกศกษาคดวาการจดการเรยนการสอนในชดวชานควรปรบปรงในเรองใด โปรดระบ

เอกสารการสอน

แบบฝกปฏบตชดวชา

ดวด


อนๆ โปรดระบ

ขอบคณทใหขอมล

4. ประเมนการจดการเรยนการสอน

Documents

ภาคการศึกษา ภาคต น /2563...ต วอย างท 2 น กศ กษาได คะแนนก จกรรม 13 คะแนน และท าข