Module Handbook
Module Name: |
Real
Analysis I |
||||||||||||
Module Level: |
Bachelor |
||||||||||||
Abbreviation, if applicable: |
MAA301 |
||||||||||||
Sub-heading,
if applicable: |
- |
||||||||||||
Courses included
in
the module, if applicable: |
The theory of real numbers; sequences and series;
continuous functions. |
||||||||||||
Semester/term: |
5th /
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: |
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: |
Calculus II, Fundamentals of Mathematics II |
||||||||||||
Learning goals/competencies: |
General Competence
(Knowledge) Can explain the concept of calculus analysis
Specific
Competence: 1. Explains algebraic and order properties of real numbers 2. Explains Absolute Value and interpretation 3. Explain concept supremum and infimum 4. Applications of the supremum property 5. Explain the concept of sequence and its properties 6. Determining the sequence convergence 7. Explain the concept subsequences and Bolzano-Weierstrass theorem 8. Explaining the criteria Cauchy 9. Explain the concept of function, limit and continuity 10. Explain the concept of continuous functions on interval 11. Explain the concept of uniform continuity |
||||||||||||
Content: |
This course covers the fundamentals of mathematical analysis: real number system, order properties of real numbers, absolute value, completeness, the concept of supremum and infimum, characterization interval,sequnces, sequence convergence, monotone sequences, Cauchy criterion, convergent series, continuous functions, sequence criterion and uniformly continuous |
||||||||||||
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
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, Robert G. 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. |