Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Introduction to Real Analysis II
Module Level: Bachelor
Abbreviation, if Applicable:
MAM62204 Sub-Heading, if
Applicable:
- Courses included in the module, if applicable
Introduction to Real Analysis II Semester/term: 6th/ 3rd year
Module Coordinator(s): Chair of the Lab. Analysis Lectures(s) Drs. M. Muslikh, M.Si., Ph.D
Corina Karim, S.Si., M.Si., Ph.D
Ratno Bagus Edy Wibowo, S.Si., M.Si., Ph.D Sa’adatul Fitri, S.Si., M.Sc
Language Bahasa Indonesia
Classification within the curriculum
Compulsory Course Teaching format / class
hours per week during semester:
100 minutes lectures per week.
Workload: Total workload is 3 ECTS, which consists of 1.67 hours lectures, 2 hours structured activities, 2 hours independent learning, 16 week per semester, and a total 90.67 hours per semester including mid exam and final exam.
Credit Points: 2
Requirements according to the examination regulations:
Students have attendance at least 80% on Introduction to Real Analysis II class and registered as examinees in the academic information system.
Recommended prerequisties
Students have taken Introduction to Real Analysis I course (MAM61204) and have an examination card where the course is stated on
Module
objectives/intended learning outcomes
After completing this course the student should have
CLO 1 : ability to understand properties of derived functions, monotonic continuous functions and bounded variation.
CLO 2 : ability to understand Riemann integral theory and Riemann- Stieltjes theory.
CLO 3 : ability to understand sequence and series of functions convergence.
Content: Topics:
1) Derived functions.
Module Handbook-Mathematics-Universitas Brawijaya 2) Monotonic functions.
3) Bounded Variation Functions.
4) Riemann Integral.
5) Riemann-Stieltjes Integral.
6) Sequence, series of Functions and Wierstrass Theorems.
Soft Skill Attribute Discipline, honesty, cooperation and communication Study / exam
achievements:
The final mark will be weighted as follows:
No. Assessment methods (component, activities). Weight
1. Assignment 20 %
2. Quiz 20 %
3. Mid examination 30 %
4. Final examination 30 %
Final grades is defined as follow: A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80
B : 69 < Final Mark ≤ 75
C+ : 60 < Final Mark ≤ 69
C : 55 < Final Mark ≤ 60
D+ : 50 < Final Mark ≤ 55
D : 44 < Final Mark ≤ 50
E : 0 ≤ Final Mark ≤ 44
Forms of Media Slides and LCD projectors, laptop/ computer, whiteboards.
Learning Methods Lecture
Literature 1. Muslikh, M., 2012, Analisis Real, UB. Press , Indonesia 2. Soemantri, R.,1990, Analisis Real I, PT. Karanika, Jakarta
3. Rudin, W., 1976, Principles of Mathematical Analysis 3rd Edition, McGraw-Hill, New York, Inc.
4. Apostol, T.M., 1974, Mathematical Analysis, 2nd Edition, Addison Wesley Publish.Com.
5. Goldberg, R., 1976, Methods of Real Analysis, 2nd Edition, John- Willey
Notes:
