calculus b2 course info

UMK/TNCA/SPKA/FK-BF2

MAKLUMAT KURSUSCOURSE INFORMATION

Fakulti/Pusat: FAKULTI SAINS BUMIFaculty/Centre:

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Jabatan: Department:

Program: Sarjana Muda Sains Gunaan (Sains Sumber Asli) & Sarjana Muda Sains Gunaan (Teknologi Bahan)Programme:

Kod Kursus/ Course Code: EFT 1053

Nama Kursus: KALKULUSCourse Name:

Nama Pensyarah Kursus: Pn. Marinah MuhammadName of Lecturer:

Nama Penyelaras Kursus: Pn. Marinah MuhammadName of Course Coordinator:

Prasyarat: TiadaPre-requisite(s):

Jam Pembelajaran Pelajar (JPP)/ Student Learning Time (SLT): 128 jam/hours

Kredit/Credit: 3

SINOPSIS:SYNOPSIS:

This course attempt to explore the ideas related to concept of limits and continuity. From this concept, the idea of derivatives of a several function is developed. This includes exponential, trigonometric and logarithmic functions. In addition, several operations involving differentials and their applications in solving problems are discussed. Finally, the concept of anti-derivatives, integrals, and its applications in solving problems of mathematical form are discussed.

HASIL PEMBELAJARAN KURSUS:COURSE LEARNING OUTCOMES:

Pada akhir kursus ini, pelajar dapat:At the end of this course, students are able to:

1. Identify and memorize formula and solution methods in mathematical problems that involve knowledge in Limit and the derivative, differentiation and Integration. (C1, A1, TS1, TS2)

2. Rewrite formula and solution methods in mathematical problems that involve knowledge in Limit and the derivative, differentiation and Integration and hence interpret the results. (C2, CT1)

3. Solve the mathematical problem involve application of Limit and the derivative, differentiation and integration in life sciences. (C3, P1, CT2)

4. Select and create a mathematical model in real situation of life sciences before differentiate and integrate the model to solve the mathematical problem. (C4, P1, CT3)

SILIBUS DAN RANCANGAN PENGAJARAN:SYLLABUS AND TEACHING PLAN:

Minggu/Week

Topik/Topics*

Pensyarah/Lecturer#

Rujukan/References

1 Chapter 1: Preliminaries1.1 Pre-Calculus Review I1.2 Pre-Calculus Review II

Marinah Nota KuliahLecture Notes




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Kredit/Credit: 3

1.3 The Cartesian Coordinate System 2 Chapter 2: Limit and The Derivative

2.1 Functions and their graphs2.2 The Algebra of functions2.3 Functions and mathematical

modelsTutorial 1


3 2.4 Limits2.5 One-Sided limits and continuity 2.6 First principle concept of derivative

Tutorial 2


4 Chapter 3: Differentiation3.1 Derivative method in Polynomial

functions Tutorial 3


5 3.2 Derivative method in exponential functions

3.3 Derivative method in Logarithmic functions

3.4 Derivative method in Trigonometric functions

Tutorial 4


6 Chapter 4: Application of the Derivative4.1 Tangent and Normal Equation4.2 Optimization: Maximum and

MinimumTutorial 5


7 4.3 Rate of Change4.4 Approximation

Tutorial 6 Mid-Term Test


8 Cuti Antara SemesterMid-Semester Break

As stated in the Academic Calendar




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Kredit/Credit: 3

20139 Chapter 5: Integration

5.1 Antiderivatives and the rules of integration

5.2 Basic of integrationTutorial 7


10 5.3 Integration by SubstitutionTutorial 8


11 5.4 Integration by PartsTutorial 9


12 5.5 Integration by Partial fractionTutorial 10


13 Chapter 6: Applications of Integration6.1 Area6.2 Volume

Tutorial 11


14 Calculus’s ProjectMathematical Modeling

Presentation I


15 Calculus’s ProjectMathematical Modeling

Presentation II


16 Minggu UlangkajiStudy Week

As stated in the Academic Calendar 2013

17-19 PEPERIKSAAN AKHIRFINAL EXAMINATION

As stated in the Academic Calendar 2013

Nota/Note: *Bagaimana setiap topik disampaikan adalah bergantung kepada kaedah penyampaian kursus (kuliah, tutorial,

praktikal, studio, dll) dan perlu dinyatakan dalam Borang JPP (UMK/TNCA/SPKA/FK-BF3). How each topic delivered is dependent on methods of course delivery (lecture, tutorial, practical, studio, etc)

and should be spelt out in SLT Form (UMK/TNCA/SPKA/FK-BF3).

# Sediakan nama pensyarah jika topik disampaikan oleh pensyarah berlainan. Provide lecturer names if topics are delivered by different lecturers.




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Kredit/Credit: 3

-Kalendar akademik mungkin berubah tertakluk kepada pindaan pengurusan tinggi/peristiwa negara. Academic calendar is subject to changes by top management/national events.

BAHAN PENGAJARAN/RUJUKANREADING MATERIALS/REFERENCES:

i. S.T. Tan (2012). Applied Calculus For the Managerial, Life and Social Sciences. 9th Edition, Thomson Brooks/Cole.

ii. R.T. Smith & R.B. Minton (2012). Calculus: Early Transcendental Functions. 4th Edition. New York, McGraw Hill.

iii. James Stewart, Lothar Redlin & Saleem Watson (2013). College Algebra. 6th Edition. Thomson Brooks/Cole.

[Rujukan perlu paling terkini. Dalam kes tertentu, kerja-kerja klasik boleh digunakan. References should be as recent as possible. In certain cases, classic works can be used].

SKIM PENILAIAN:ASSESSMENT SCHEME:

Penilaian Berterusan/Continuous Assessment: 60% a. Mid-Term Test = 10%b. Quizzes = 10%c. Tutorial = 10%d. Group Discusion = 10%e. Assignments = 10%f. Projects = 10%

Peperiksaan Akhir/Final Examination: 40%

KEHADIRAN DAN PERATURAN AKADEMIK LAIN:ATTENDANCE AND OTHER ACADEMIC RULES AND REGULATION:

1. Kehadiran pelajar ke kelas (kuliah, tutorial, makmal, studio dll) tidak boleh kurang daripada 80% sebagai prasyarat menduduki peperiksaan akhir.Student attendance to classes (lecture, tutorial, laboratory, studio etc) must not be less than 80%




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Kredit/Credit: 3

as a prerequisite for final examination.

2. Pelajar yang tidak dapat hadir ke mana-mana kelas seperti yang dijadualkan kerana alas an yang munasabah (cuti sakit, kecemasan, aktiviti yang diluluskan, dll) mesti menyediakan bukti kepada pensyarah kursus, atau ia boleh dihalang daripada menduduki peperiksaan akhir (jika kedatangannya kurang daripada 80%). Students who cannot attend any scheduled classes because of acceptable reasons (medical leave, emergency, approved activities, etc) must provide proof to the course lecturer, without which he/she would be barred from sitting the final examination (if the attendance is less than 80%).

3. Semua peraturan akademik lain turut terpakai.All other academic rules and regulation apply.

Disediakan oleh:Prepared by:

Tandatangan:Signature:

Nama: Marinah MuhammadName:

Tarikh: 1 September 2013Date:

Diluluskan oleh:Approved by:

Tandatangan:Signature:

Nama: Prof. Dr. Abd. Razak WahabName:

Jawatan: Dekan FSBDesignation:

Tarikh: 1 September 2013Date:

calculus b2 course info

Education