Module Handbook
Module Name: 
Linear Algebra 
Module Level: 
Bachelor 
Abbreviation,
if applicable: 
MAL302 
Subheading, if applicable: 
 
Courses included in
the module, if applicable: 
 
Semester/term: 
4th / Second Year 
Module coordinator(s): 
Dr. Fatmawati, M.Si., 
Lecturer(s): 
Dr. Fatmawati, M.Si., Siti Zahidah, M. Si. 
Language: 
Bahasa Indonesia 
Classification within the curriculum 
Compulsory Course / 
Teaching format / class hours per week during semester: 
3 hours lectures (50 min /
hour) 
Workload: 
3 hours lectures, 3 hour structural activities, 3
hours individual study, 13 week per semester, and total
117 hours per semester
3.9 ECTS 
Credit Points: 
3 
Requirements: 
Elementary Linear Algebra, Fundamental of
Mathematics II 
Learning goals/competencies: 
General Competence (Knowledge) capable of linking concepts on a vector space analytically. Specific
Competence: 1. Determining whether a subset of vector space is a
subspace. 2. Proving theorems related to the properties of linear independence of a set
of vectors. 3. Proving properties of bases and dimensions. 4. Proving
properties of algebraic operations on linear transformation 5. Proving
properties of linear transformations related to type of linear transformation and its relationship with the base. 6. Determining
the matrix representation of a linear transformation. 7. Proving properties of the matrix representation related
to change of base on their vector space. 8. Proving properties
of inner product spaces. 9. Proving properties
of orthogonal bases. 
Content: 
Vector spaces, subspaces, linear combination,
spanning sets, linear independence, bases, dimensions, row spaces. Linear
transformation, isomorphism on vector spaces, matrix representation. Inner product spaces,
CauchySchwartz inequality, orthogonality, orthonormality. 
Soft skill
Attribute 
Activity, disciplinary, and honesty. 
Study/exam achievements: 
Students are considered to be competent and pass if at least get 40 of maximum mark of the exams (UTS dan UAS), structured activity
(group discussion). Final
score (NA) is calculated as follow: 10% softskill + 20% assignment + 20% quiz + 25% UTS + 25% UAS Final index is defined as follow: A :
75  100 

AB : 70  74.99 B :
65  69.99 BC :
60  64.99 C :
55  59.99 D :
40  54.99 E :
0  39.99 
Forms of Media: 
Slides and LCD projectors, whiteboards 
Learning Methods 
Lecture, assessments
and group discussion 
Literature: 
1.
Jacob, Bill,
1990, Linear Algebra, WH Freeman and Company, New York. 2. Lang, Serge, 1972, Linear Algebra, Addison,
Wesley Pub. Co, London. 3.
Nicholson, W.
Keith, 2006, Linear Algebra with Applications, 4^{th}
edition, McGraw Hill, Singapore 
Notes: 
