This document provides course information for a Calculus course taught at the Faculty of Earth Sciences. The course is designed to introduce students to key concepts in calculus, including limits, continuity, differentiation, integration and their applications. Over 16 weeks, topics such as derivatives of various functions, applications of derivatives, antiderivatives, integrals and their applications will be covered. Students will be assessed through exams, assignments, projects and class participation.

1. UMK/TNCA/SPKA/FK-BF2
MAKLUMAT KURSUS
COURSE INFORMATION
Fakulti/Pusat: FAKULTI SAINS BUMI
Faculty/Centre:
Hlm/Page:
1/5
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: KALKULUS
Course Name:
Nama Pensyarah Kursus: Pn. Marinah
Muhammad
Name of Lecturer:
Nama Penyelaras Kursus: Pn. Marinah Muhammad
Name of Course Coordinator:
Prasyarat: Tiada
Pre-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: Preliminaries
1.1 Pre-Calculus Review I
1.2 Pre-Calculus Review II
Marinah Nota Kuliah
Lecture Notes

2. UMK/TNCA/SPKA/FK-BF2
MAKLUMAT KURSUS
COURSE INFORMATION
Fakulti/Pusat: FAKULTI SAINS BUMI
Faculty/Centre:
Hlm/Page:
2/5
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: KALKULUS
Course Name:
Nama Pensyarah Kursus: Pn. Marinah
Muhammad
Name of Lecturer:
Nama Penyelaras Kursus: Pn. Marinah Muhammad
Name of Course Coordinator:
Prasyarat: Tiada
Pre-requisite(s):
Jam Pembelajaran Pelajar (JPP)/
Student Learning Time (SLT):
128 jam/hours
Kredit/
Credit:
3
1.3 The Cartesian Coordinate System
2 Chapter 2: Limit and The Derivative
2.1 Functions and their graphs
2.2 The Algebra of functions
2.3 Functions and mathematical
models
Tutorial 1
Marinah Nota Kuliah
Lecture Notes
3 2.4 Limits
2.5 One-Sided limits and continuity
2.6 First principle concept of derivative
Tutorial 2
Marinah Nota Kuliah
Lecture Notes
4 Chapter 3: Differentiation
3.1 Derivative method in Polynomial
functions
Tutorial 3
Marinah Nota Kuliah
Lecture Notes
5 3.2 Derivative method in exponential
functions
3.3 Derivative method in Logarithmic
functions
3.4 Derivative method in Trigonometric
functions
Tutorial 4
Marinah Nota Kuliah
Lecture Notes
6 Chapter 4: Application of the
Derivative
4.1 Tangent and Normal Equation
4.2 Optimization: Maximum and
Minimum
Tutorial 5
Marinah Nota Kuliah
Lecture Notes
7 4.3 Rate of Change
4.4 Approximation
Tutorial 6
Mid-Term Test
Marinah Nota Kuliah
Lecture Notes
8 Cuti Antara Semester
Mid-Semester Break
As stated in the
Academic Calendar

3. UMK/TNCA/SPKA/FK-BF2
MAKLUMAT KURSUS
COURSE INFORMATION
Fakulti/Pusat: FAKULTI SAINS BUMI
Faculty/Centre:
Hlm/Page:
3/5
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: KALKULUS
Course Name:
Nama Pensyarah Kursus: Pn. Marinah
Muhammad
Name of Lecturer:
Nama Penyelaras Kursus: Pn. Marinah Muhammad
Name of Course Coordinator:
Prasyarat: Tiada
Pre-requisite(s):
Jam Pembelajaran Pelajar (JPP)/
Student Learning Time (SLT):
128 jam/hours
Kredit/
Credit:
3
2013
9 Chapter 5: Integration
5.1 Antiderivatives and the rules of
integration
5.2 Basic of integration
Tutorial 7
Marinah Nota Kuliah
Lecture Notes
10 5.3 Integration by Substitution
Tutorial 8
Marinah Nota Kuliah
Lecture Notes
11 5.4 Integration by Parts
Tutorial 9
Marinah Nota Kuliah
Lecture Notes
12 5.5 Integration by Partial fraction
Tutorial 10
Marinah Nota Kuliah
Lecture Notes
13 Chapter 6: Applications of
Integration
6.1 Area
6.2 Volume
Tutorial 11
Marinah Nota Kuliah
Lecture Notes
14 Calculus’s Project
Mathematical Modeling
Presentation I
Marinah Nota Kuliah
Lecture Notes
15 Calculus’s Project
Mathematical Modeling
Presentation II
Marinah Nota Kuliah
Lecture Notes
16 Minggu Ulangkaji
Study Week
As stated in the
Academic Calendar
2013
17-19 PEPERIKSAAN AKHIR
FINAL 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.

4. UMK/TNCA/SPKA/FK-BF2
MAKLUMAT KURSUS
COURSE INFORMATION
Fakulti/Pusat: FAKULTI SAINS BUMI
Faculty/Centre:
Hlm/Page:
4/5
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: KALKULUS
Course Name:
Nama Pensyarah Kursus: Pn. Marinah
Muhammad
Name of Lecturer:
Nama Penyelaras Kursus: Pn. Marinah Muhammad
Name of Course Coordinator:
Prasyarat: Tiada
Pre-requisite(s):
Jam Pembelajaran Pelajar (JPP)/
Student Learning Time (SLT):
128 jam/hours
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/RUJUKAN
READING 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%

5. UMK/TNCA/SPKA/FK-BF2
MAKLUMAT KURSUS
COURSE INFORMATION
Fakulti/Pusat: FAKULTI SAINS BUMI
Faculty/Centre:
Hlm/Page:
5/5
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: KALKULUS
Course Name:
Nama Pensyarah Kursus: Pn. Marinah
Muhammad
Name of Lecturer:
Nama Penyelaras Kursus: Pn. Marinah Muhammad
Name of Course Coordinator:
Prasyarat: Tiada
Pre-requisite(s):
Jam Pembelajaran Pelajar (JPP)/
Student Learning Time (SLT):
128 jam/hours
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 Muhammad
Name:
Tarikh: 1 September 2013
Date:
Diluluskan oleh:
Approved by:
Tandatangan:
Signature:
Nama: Prof. Dr. Abd. Razak Wahab
Name:
Jawatan: Dekan FSB
Designation:
Tarikh: 1 September 2013
Date:

6. UMK/TNCA/SPKA/FK-BF2
MAKLUMAT KURSUS
COURSE INFORMATION
Fakulti/Pusat: FAKULTI SAINS BUMI
Faculty/Centre:
Hlm/Page:
5/5
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: KALKULUS
Course Name:
Nama Pensyarah Kursus: Pn. Marinah
Muhammad
Name of Lecturer:
Nama Penyelaras Kursus: Pn. Marinah Muhammad
Name of Course Coordinator:
Prasyarat: Tiada
Pre-requisite(s):
Jam Pembelajaran Pelajar (JPP)/
Student Learning Time (SLT):
128 jam/hours
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 Muhammad
Name:
Tarikh: 1 September 2013
Date:
Diluluskan oleh:
Approved by:
Tandatangan:
Signature:
Nama: Prof. Dr. Abd. Razak Wahab
Name:
Jawatan: Dekan FSB
Designation:
Tarikh: 1 September 2013
Date: