Module designation | Real Analysis I (MAA310) | ||||||||||||||
Semester(s) in which the module is taught | 5th | ||||||||||||||
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 | Advanced Calculus (MAA105) and Fundamentals of Mathematic II (MAL101) | ||||||||||||||
Module objectives/intended learning outcomes | General Competence (Knowledge): Capable of proving and applying the concepts of numbers, sequences, limits and continuity analytically. Specific Competence: student capable of 1. Explaining the real number system. 2. Explaining the concept of completeness of real numbers and the nature of the supremum. 3. Explaining the concept of sequence and its properties. 4. Explaining the concept of limits. 5. Explaining the concept of continuous function. | ||||||||||||||
Content | Real number system (Real number field, absolute value, real line, completeness, concepts of supremum and infimum, archmedes, ordered properties, density, and interval characterization), real number sequences (sequences, sequence convergence, monotone sequences, Cauchy’s criterion, series convergent), function limits, continuous functions (sequence and continuous sequence criteria). | ||||||||||||||
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+22.5% assignment + 21% Quiz + 24% midterm + 22.5% final exam.
Final index is defined as follow:
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