PRO FORMA KURSUS COURSE PRO FORMA DRAFT. Nilai Kredit: Credit Value:

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PRO FORMA KURSUS

COURSE PRO FORMA

Semester 2 Sesi 2020/2021

1. Maklumat Kursus / Course Info Nama Kursus:

Course Name: Kalkulus I / Calculus I

Kod Kursus:

Course Code: SMN3093 Nilai Kredit:

Credit Value: 3

2. Sinopsis / Synopsis

Kursus ini membincangkan konsep-konsep asasi dalam kalkulus satu pemboleh ubah seperti had dan keselanjaran, terbitan, kamiran, jujukan dan siri, serta kemahiran-kemahiran berkaitan yang menyokong kepada kefahaman konsep.

This course discusses the fundamental concepts in single variable calculus such as limits and continuity, derivatives, integral, and sequences and series, and related skills that support the understanding of the concepts.

3. Nama Staﬀ Akademik / Name(s) of Academic Staﬀ Dr. Fainida binti Rahmat

1.

Dr. Riswan Efendi 2.

4. Semester dan Tahun / Semester and Year Oﬀered Semester:

Semester: 2 Tahun:

Year: 1

5. Prasyarat (jika ada) / Prerequisite (if any)

Tiada / None 6. Hasil Pembelajaran Kursus / Course Learning Outcomes (CLO)

CLO1 Menyelesaikan masalah berkaitan yang melibatkan had dan keselanjaran, terbitan, kamiran, dan jujukan dan siri dalam kalkulus satu pemboleh ubah. (C3, PLO3, MQF3)

Solve related problems involving limits and continuity, derivatives, integrals, and sequence and series in single variable calculus. (C3, PLO3, MQF3)

C3

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CLO2 Menghargai perkembangan konsep dan teorem penting dalam kalkulus satu pemboleh ubah. (A3, PLO1, MQF1)

Appreciate the development concepts and theorems in single variable calculus. (A3, PLO1, MQF1) A3

CLO3

Mempamerkan kebolehan menaakul terhadap selesaian yang melibatkan had dan keselanjaran, terbitan, kamiran, dan jujukan dan siri dalam kalkulus satu pemboleh ubah. (P4, PLO4, MQF3)

Demonstrate the ability to reason on solutions involving limits and continuity, derivatives, integral, and, sequences and series in single variable calculus. (P4, PLO4, MQF3)

P4

CLO4 Bekerja dalam satu pasukan untuk melengkapkan tugasan yang diberi. (A5, PLO6, MQF3)

Work in teams to complete the assigned task. (A5, PLO6, MQF3) A5

7. Pemetaan Hasil Pembelajaran Kursus kepada Hasil Pembelajaran Program / Mapping of the Course to the Programme Learning Outcomes

CLO

Program Learning Outcomes (PLO)

Teaching Methods Assessment

PLO1 PLO2 PLO3 PLO4 PLO5 PLO6 PLO7 PLO8 PLO9 PLO10

CLO1

e-Pembelajaran e-Learning Perbincangan Discussion Lain-lain Others

Pentaksiran Akhir Final Assessment Kuiz Dalam Talian Online Quiz

CLO2

Projek Project

CLO3

Kuiz Dalam Talian Online Quiz

At Home Assessment At Home Assessment

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(Deskripsi ini mesti dibaca bersama dengan Standard 2.1.2, 2.2.1 dan 2.2.2 di Area 2 - muka surat 16 & 18 / This description must be read together with Standards 2.1.2, 2.2.1 and 2.2.2 in Area 2 - pages 16 & 18

Hasil Pembelajaran Program / Programme Learning Outcomes

PLO1 Menerangkan pengetahuan teoretikal dan teknikal dalam bidang pendidikan dan Matematik Explain theoretical and technical knowledge in the ﬁelds of education and Mathematics PLO2 Menyelesaikan masalah atau isu luar jangka secara kreatif dan inovatif

Solve problems or unexpected issues creatively and innovatively

PLO3 Menggunakan pebagai kaedah dan kemahiran teknikal serta manipulatif untuk menyelesaikan masalah Matematik Apply various methods as well as technical and manipulative skills to solve education and physics problems PLO4 Berkomunikasi secara bertulis dan lisan melalui pelbagai media penyampaian

Communicate in oral and written forms through various medium of presentations PLO5 Bekerjasama dalam pelbagai komuniti pembelajaran dan pekerjaan

Work together with diﬀerent learning and working communities PLO6 Menjalankan penyelidikan dalam pendidikan Matematik

Carry out mathematics education research

PLO7 Menggunakan pelbagai maklumat, media dan teknologi bagi meyokong pengajaran dan pembelajaran Matematik Use diverse information, media, and technology to support teaching and learning Mathematics

PLO8 Bekerja berautonomi dan menunjukkan kepimpinan semasa aktiviti sosial dan kemasyarakatan Work autonomously and demonstrate leadership during social and community activities

PLO9 Melibatkan diri dengan pembelajaran terarah kendiri dan sepanjang hayat serta menunjukkan kompetensi keusahawanan dalam projek terpilih Engage in self-directed life-long learning and demonstrate entrepreneurial competency with selected project (s)

PLO10 Berpegang kepada etika dan kod amalan profesional serta menunjukkan pengetahuan yang jelas terhadap isu tempatan dan global Adhere to the ethical and professional codes of practice and demonstrate a clear knowledge of local and global issues

8. Kemahiran yang boleh dipindahkan (jika berkaitan) / Transferable Skills (if applicable) 1 Kerja berpasukan, pemikiran kritis, penyelesaian masalah

Teamwork, Critical Thinking, Problem Solving

9. Pengagihan Jam Pembelajaran Pelajar / Distribution of Student Learning Time (SLT)

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Week Course Content Outline

CLO Teaching and Learning Activities

Guided Learning (F2F) SLT

Guided Learning (NF2F)

Independent Learning (NF2F) CLO1 CLO2 CLO3 CLO4 L T P O

1-2

Had dan Keselanjaran

Had, Pengiraan Had, Had pada ketakterhinggaan; Kelakuan Akhir Fungsi, Keselanjaran, Keselanjaran Fungsi Trigonometri, Eksponen dan Fungsi Songsangan

Limits and Continuity

Limits, Computing Limits, Limits at Inﬁnity; End Behavior of a Function, Continuity, Continuity of Trigonometric, Exponential and Inverse Function

0 0 0 4 2 6 12

3-4

Terbitan

Petua-Petua Pembezaan, Petua Rantai, Pembezaan Tersirat, Anggaran Linear

Derivatives

Rule of Diﬀerentiation, The Chain Rule, Implicit Diﬀerentiation, Linear Approximation.

0 0 0 4 2 6 12

5-6

Aplikasi Terbitan

Ekstrema, Kadar Terhubung, Petua L'Hopital Applications of Derivatives

Extrema, Related Rates, L'Hopital Rule

0 0 0 4 2 6 12

7-8

Kamiran

Kamiran Tak Tentu dan Kamiran Tentu, Teorem Asasi Kalkulus, Kamiran Tak Wajar

Integrals

Indeﬁnite and Deﬁnite Integrals, Fundamental Theorem of Calculus, Improper Integrals

0 0 0 5.5 .5 6 12

9-10

Teknik-teknik Pengamiran

Kaedah Penggantian, Kaedah Bahagian Demi Bahagian, Kaedah Pecahan Separa, Penggantian Trigonometri

Techniques of Integration 0 0 0 4.5 1.5 6 12

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11

Aplikasi Kamiran Luas dan Isipadu

Applications of Deﬁnite Integral Areas and Volumes

0 0 0 2.5 .5 3 6

12-14

Jujukan dan Siri

Penumpuan Jujukan, Siri Geometri, Penumpuan Siri, Ujian Penumpuan, Siri Kuasa, Siri Taylor

Sequences and Series

Convergence of Sequences, Geometric Series, Convergence of Series, Tests For Convergence, Power Series, Taylor Series

0 0 0 6 3 9 18

TOTAL 0 0 0 30.5 11.5 42 84

Continuous Assessment Percentage (%) F2F NF2F SLT

1 Kuiz Dalam Talian (Online Quiz) 5 0 3 3

2 Kuiz Dalam Talian (Online Quiz) 10 0 3 3

3 At Home Assessment (At Home Assessment) 20 0 6 6

4 Penilaian Rakan Sebaya (Peer Evaluation) 5 0 2 2

5 Projek (Project) 20 .5 14.5 15

TOTAL 60 0.5 28.5 29

Final Assessment Percentage (%) F2F NF2F SLT

1 Pentaksiran Akhir (Final Assessment) 40 0 7 7

TOTAL 40 0 7 7

GRAND TOTAL

120

10. Keperluan Khas / Special Requirement

DRAFT

Quiz 1 : Week4-friday 02/04/2021, 4-5pm, C1-2 Quiz 2: Week11-friday 28/05/2021, 4-5pm, C5 Test: Week8-30/04/2021, 4-6pm,C1-C4

Blog: a) teaching video for C4-C5 (should be ready by week7 b) C6 application in real life (due date: Week14)

****Competition

C3-C7

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Tiada None

11. Rujukan / Reference

Rujukan Utama:

1. Stewart, J., (2016). Calculus early transcendentals 8th Ed.. Australia; Belmont, CA; Thomson Brooks/Cole.

2. Anton, H., Bivens, I., Davis, S. (2016). Calculus early transcendentals 11th Ed. New York, NY: John Wiley & Sons.

Rujukan Tambahan:

1. Hughes-Hallett, D., Gleason, A.M. and McCallum, W. G. (2017). Calculus Single Variable, 7th Ed., Hoboken, NJ: John Wiley & Sons.

2. Acheson, D. (2018). The calculus story: A mathemtical adventure. Oxford University Press.

3. Larson, R. & Edwards, B.H. (2018). Calculus with CalcChat and CalcView (11th Ed.). Austalia: Cengage Learning

12. Maklumat Tambahan Lain / Others Additional Information

Tiada / None 13. Pengesahan / Veriﬁcation

Disediakan/ Dikemaskini oleh:

Prepared/ Updated by: Disemak oleh:

Checked by:

Nama:

Name:

Jawatan:

Designation: Penyelaras Kursus

Course Coordinator Tarikh:

Date: