Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Calculus III
Module Level: Bachelor
Abbreviation, if Applicable:
MAM61202 Sub-Heading, if
Applicable:
- Courses included in the module, if applicable
Calculus III Semester/term: 3rd/ 2nd year
Module Coordinator(s): Chair of the Lab. Analysis Lectures(s) Corina Karim, S.Si., M.Si., Ph.D.
Ratno Bagus E.W., S.Si., M.Si., Ph.D.
Drs. M. Muslikh, M.Si., Ph.D.
Drs. Abdul Rouf A., M.Sc., Ph.D.
Ummu Habibah, 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:
200 minutes lectures per week.
Workload: Total workload is 6 ECTS, which consists of 3.33 hours lectures, 4 hours structured activities, 4 hours independent learning, 16 week per semester, and a total 181.33 hours per semester including mid exam and final exam.
Credit Points: 4
Requirements according to the examination regulations:
Students have attendance at least 80% on Calculus III class and registered as examinees in the academic information system.
Recommended prerequisties
Students have taken Calculus II course (MAM62201) and have participated in the final exam of the course.
Module
objectives/intended learning outcomes
After completing this course the student should have
CLO 1 : ability to understand and apply multivariable calculus such as limit, continuous, invers theorem, fundamental calculus theorem, partial derivative and vector field.
CLO 2 : ability to solve problems of integral multivariable:
parametrization of path, parametrization of surface, path integral and surface integral.
CLO 3 : ability to understand some concepts of and solve problems of Integration Theorems: Green’s Theorem, Gauss’s Theorem, Stokes’s Theorem.
CLO 4 : ability to understand, analyze and solve problems of sequences dan series.
Content: Topics:
1. Function from ℝ into ℝ : limits, continuity, derivative, integral.
2. Function from ℝ into ℝ : limits, continuity, invers theorem, fundamental calculus theorem, partial derivative, total derivative, integral.
Module Handbook-Mathematics-Universitas Brawijaya 3. Vector field
4. Line and Surface integral: parametrization of path, parametrization of surface, integral over path and integral over surface.
5. Integration Theorems: Green’s Theorem, Gauss’s Theorem, Stokes’s Theorem.
6. Sequences and series: definition of sequences, convergent sequences, definition of series, convergent series, properties of series, Test of series, Convergence interval, radius.
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. Chen ,W.W.L., 2008, Multivariable and Vector Analysis, Lecture notes.
2. Marsden, J.E &Tromba, A.J., 1988, Vector Calculus, 3rded, Freeman & Company, New York.
3. Budi, W.S., 2000, Kalkulus Peubah Banyak, Penerbit ITB.
Notes:
