Module Handbook

 

Module Name:

Real Analysis II

Module Level:

Bachelor

Abbreviation, if applicable:

MAA302

Sub-heading, if applicable:

-

Coursesincludedinthe

module, if applicable:

The theory of differentiation, Riemann integral.

 

Semester/term:

6th/ Third Year

Module coordinator(s):

Dr. Mohammad Imam Utoyo, M.Si.

Lecturer(s):

Dr. Mohammad Imam Utoyo, M.Si., Abdulloh Jaelani, S.Si., M.Si.

Language:

BahasaIndonesia

Classificationwithinthe

Curriculum

Compulsory Course / Elective Studies

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 semester3.9 ECTS

Credit Points:

3

Requirements:

Real Analysis I

Learning goals/competencies:

General Competence (Knowledge)

Can explain the concept of calculus analysis

 

Specific Competence:

1.       Explains concept derivatives
2.       Explains mean value theorem
3.       Explains LíHospitalís rules
4.       Explain Taylorís theorem and applications 
5.       Explain Riemann sum
6.       Explain Riemann Integrable functions 
7.       Explaining fundamental theorem of calculus
8.       Use Darboux integral

Content:

This course covers the fundamentals of mathematical analysis: 
Derivatives, mean value theorem, LíHospital rules, Taylorís theorem and applications, Riemann integral, fundamental theorem of calculus, and Darboux integral.

Soft skill Attribute

Discipline, honest, and Active

Study/exam achievements:

Students are considered to be competent and pass if at least get 40 of maximum mark of the final score.

 

Grading Policy

Activities

Percentages

Softskill

10 %

Quiz

20 %

Assignments

15 %

Midterm exams

25 %

Final exam

30 %

 

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, quiz, and assessments

Literature:

1.       Bartle, RobertG. and Sherbert, Donald R., 2000, Introduction to Real Analysis, 4th ed, John Wiley & Sons,Inc., New York.

2.       Rudin, Walter., 1976. Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics). 3rd ed, McGraw-Hill.

Notes:

In order to pass the course, you do have to satisfy the minimum requirements for 75 % attendance.