MAL302 – Linear Algebra

Module designation

Linear Algebra (MAL302)

Semester(s) in which the module is taught

4th

Person responsible for the module

Dr. Yayuk Wahyuni

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

3×170 minutes (3×50 minutes lecture and lesson, 3×60 minutes structural activities, 3×60 minutes self-study) per week for 16 weeks

Credit points

3 CP (4,8 ECTS)

Required and recommended prerequisites for joining the module

Elementary Linear Algebra (MAL201)

Fundamental of Mathematics II (MAL203)

Module objectives/intended learning outcomes

General Competence (Knowledge):

  capable of linking concepts on a vector space analytically.

Specific Competence: student are able to

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, Cauchy-Schwartz inequality, orthogonality, orthonormality.

Examination forms

Essay

Study and examination requirements

Students are considered to pass if they at least have got final score 40 (D).

Final score is calculated as follow: 10% softskill+22.5% assignment + 22.5% Quiz + 20% midterm + 25% final exam.

Final index is defined as follow:

Reading list

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