MAA302 – Real Analysis II

Module designation

Real Analysis II (MAA302)

Semester(s) in which the module is taught

6^th

Person responsible for the module

Dr. Eridani

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

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

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Real Analysis I (MAA301)

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of proving mathematical statements formally and applying them related to derivative and integral concepts.

Specific Competence: student capable of

1.      Explaining the concept of derivatives and their properties.

2.      Explaining the properties of the Riemann integral function.

3.      Explaining the sequence of functions and their properties.

Content

Derivatives of functions, Riemann integrals, function sequences and topology.

Examination forms

Essay

Study and examination requirements

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

Final score is calculated as follows: 10% softskill+30 % assignment + 20% Quiz + 20% midterm + 20% final exam.

Final index is defined as follow:

Reading list

1. Bartle, Robert  G. and Sherbert, Donald R., 2011, Introduction to Real Analysis, Fourth Edition, John Wiley & Sons,Inc., New York.
2. Gunawan, H. 2016., Pengantar Analisis Real, Edisi kedua, Penerbit ITB, Bandung.