This document provides information about an algebra course offered at the university. The course aims to develop students' algebraic knowledge and skills so they can apply algebra in bioscience calculations. It covers fundamental algebra concepts, equations, inequalities, functions and graphs, sequences and series, matrices, vectors, and mathematical modeling. The course is offered in semester 1 and involves 28 lectures, 14 tutorials, and 78 hours of independent study over the semester for a total of 120 hours. Student learning outcomes include describing polynomial functions, illustrating various function types, and selecting mathematical models. The course is assessed through exams, tests, quizzes, assignments, and projects.

1. 1 Nama kusus/modul : Aljabar
2. Kod kursus : BFT 1063
3. Nama staf akademik : Pn Marinah Muhammad
4. Rasional memasukan kursus/modul dalam program :
The goal for this course is to develop knowledge and skills in mathematics so that
students should be able to apply the fundamantel of algebra in all bioscience
calculations, apply analytical skills in bioscience calculations, apply problem
solving skills in bioscience calculations, develop a matamatical model in a real
world of bioscience and also to develop a communication skills and team work
among them. When attend this couse, students will be expose in:-
i. Fundamental concept of algebra especially in problem solving and model
building.
ii. Mathematical modelling involve of equations and inequalities.
iii. Problem solving and mathematical modelling involve various functions and
graphs
iv. Problem solving and mathematical modelling involve sequences and series.
v. Concept of binomial theorem and expansion in approximations
vi. Algebraic manipulation and problem solving involve complex number.
5. Semester dan Tahun ditawarkan
Semester 1, Year 1
6. Jumlah Waktu Belajar Pelajar
(SLT)
Bersemuka Jumlah Pembelajaran Sendiri
dan berpadu
K = Kuliah K T P L
T = Tutorial 28 14 - 78 120
P = Praktikal
L = Lain-lain
7. Nilai Kredit : 3 credit hours
8. Prasyarat (jika ada) : -
9. Hasil Pembelajaran :
At the end of this course, students should be able to:-
i. Describe remainder and factor theorem, long and synthetics division in
polynomial functions and problem related to arithmetic progression and
geometrics progression. (K1, CT1)
ii. Ilustrate even and odd functions, absolute value functions, quadratics functions
and rational functions.(K2, CT2)
iii. Solve equations involving exponent and radical, simultaneous equations
(linear/ quadratic), inequalities (linear / quadratic / rational) and problem related
to arithmetic progression and geometrics progression.(K3, P1, CT3)
iv. Select a mathematical model in real situation of bioscience using concept of
sequence and siries.(K4,A1, LL1)
10. Kemahiran yang boleh dipindahkan :
Kemahiran berfikir secara kritis dan Penyelesaian masalah.
11. Strategi Pengajaran-pembelajaran dan Penilaian :
 Problem based learning
 Discovery Based Learning
 Outcome Based Learning
Assessment Strategy
 Continuous assessment – 60%
 Term end assessment – 40%

2. 12. Sinopsis :
This course give exposure to fundamental concept of algebra, equations and
inequalities, various functions and graph, sequence and series, matrices and
system of linear equation and vector. Each topic also gives exposure in problem
solving skills and mathematical modeling in related field.
13. Kaedah penyampaian :
Lecture and Tutorial
14. Jenis dan kaedah penilaian :
a. Final Examination = 40%
b. Test 1 = 15%
c. Test 2 = 15%
d. Quizzes = 10%
e. Tutorial = 10%
f. Assignments (Project) = 10%
JUMLAH = 100%
15. Pemetaan kursus/modul dengan hasil pembelajaran program :
Hasil Pembelajaran Kursus /
Hasil Pembelajaran Program
Pengetahuandalam
bidangberkaitan
Kemahiranteknikal/
praktikal/psikomotor
Kemahiran
berkomunikasi
Pendekatankemahiran
berfikirdansaintifik
Kemahiransosial,kerja
berpasukandan
bertanggungjawab
Pendidikansepanjang
hayat
Kemahiranpengurusan
dankeusahawanan
Profesionalisma,nilai
danetika
Kemahirankepimpinan
1(K) 2(P) 3(A) 4(K) 5(A) 6(A) 7(A) 8(A) 9(A)
Describe remainder and factor
theorem, long and synthetics
division in polynomial functions
and problem related to arithmetic
progression and geometrics
progression. (K1, CT1)
√ √
Ilustrate even and odd functions,
absolute value functions,
quadratics functions and rational
functions.(K2, CT2)
√ √
Solve equations involving
exponent and radical,
simultaneous equations (linear/
quadratic), inequalities (linear /
quadratic / rational) and problem
related to arithmetic progression
and geometrics progression.(K3,
P1, CT3)
√ √ √
Select a mathematical model in
real situation of bioscience using
concept of sequence and
siries.(K4, A1, LL1)
√ √ √

3. 16. Tajuk kursus/modul dengan SLT mengikut tajuk :
Bahan Kursus
Lecture
Tutorial/Lab
Self-study
LibrarySearch
Exam
Assignment
TotalSLT
(hours)
CHAPTER 1: FUNDAMENTAL
CONCEPT OF ALGEBRA
1.1Real Number
1.2Basic Algebraic Manipulation
2 1 3 2 0 0 8
1.3 Indices
1.4 Surds
1.5 Logarithmics
2 1 3 2 0 1 9
CHAPTER 2: EQUATIONS AND
INEQUALITIES
Equations
 Solving simultaneous linear
equations, equation in three
variables, simultaneous linear and
quadratics equations
2.2 Quadratics Equations
 Types of roots for a quadratic
equation
 Relationship between the roots
and the coefficient of a quadratic
equation.
 Solving quadratic equations
2 1 3 2 1 0 9
Polynomial Equations
Partial Fractions
2 1 3 2 0 1 9
Inequalities
 Solving inequalities – Linear
inequality with one variable, two
linear inequalities with one
variable.
 Inequality of rational functions
2 1 3 2 0 0 8
CHAPTER 3: FUNCTIONS AND GRAPH
3.1 Basic Concepts
3.2 Graph of Functions
 General functions and its graph
 Even and odds functions
 Absolute value functions
3.3 Operations of Functions
 Sum, difference, product and
quotient of functions
 Composites functions
 Inverse functions
2 1 3 2 2 0 10
3.4 Polynomial Functions (degree > 2)
 Remainder theorem
2 1 3 2 0 1 9

4.  Factor theorem
 Long and synthetics division
3.5 Quadratics Functions
3.6 Rational Functions
 Definition of horizontal asymptote
 Sketching graph
2 1 3 2 0 1 9
CHAPTER 4: SEQUENCES AND
SERIES
4.1 Introduction to Sequences
4.2 Arithmetics Progresión, Sum of an AP
4.3 Geometric Progresión, Sum of an GP
2 1 2 2 1 0 8
4.4 Finite Series
 Standard Result Method
 Difference Method
 Partial Fraction Method
 Mathematical Induction Method
2 1 3 2 0 1 9
CHAPTER 5 Matrices and Systems of
Linear Equations
5.1 Type of Matrices
5.2 Operation of Matrices
5.3 Elementary Row Operation
5.4 Determinant of Matrices
5.5 Properties of Determinant
5.6 Inverse of Matrices
5.7 Rank of Matrices
2 1 2 2 0 0 7
5.8 Crammer Rule’s Method
5.9 Inverse Matrix Method
5.10 Gauss Elimination Method
5.11 Existence and Uniqueness in
Solving LES
2 1 2 2 2 1 10
CHAPTER 6 Vectors
Basic Concepts
Algebraic in Vector
The Scalar Product
2 1 2 2 0 0 7
The Vector Product
Line and Plane
2 1 2 2 0 1 8
Jumlah Jam 28 14 37 28 6 7 120
17. Rujukan utama menyokong kursus:
i. Sadler, A.J., Understanding Pure Mathematics, Oxford New York, 2002
ii. Bostock L., Chandler S., Pure Mathematics, Stanley Thornes (Publisher)
Ltd., 1984
iii. Gustafson, R. D., College Algebra and Trigonometry, Wadsworth, Inc.,
1983
iv. Steinlage R.C., College Algebra, West Publishing Company, 1984
v. Swokowski, E. W., Functions and Graphs, Prindle, Weber & Schmidt,
1981
vi. Modul Aljabar UTM, UTM, 1997
18. Lain-lain maklumat tambahan:

5. Kehadiran pelajar ke kelas hendaklah tidak kurang daripada 80% daripada jumlah
pertemuan untuk satu semester