MAA105 – Advanced Calculus

Module designation

Advanced Calculus (MAA105)

Semester(s) in which the module is taught

2^nd

Person responsible for the module

Muchammad Yusuf Syaifuddin, M.Si.

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

4×170 minutes (4×50 minutes lecture and lesson, 4×60 minutes structural activities, 4×60 minutes self-study) per week for 16 weeks

Credit points

4 CP (6,4 ECTS)

Required and recommended prerequisites for joining the module

Calculus (MAA101)

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of using integration calculus concepts and its applications.

Specific Competence: student capable of

1.      Solving indefinite integrals using various integration techniques (Changing the limits of definite integrals).

2.      Using a definite integral to calculate the volume of a solid revolution, length of a plane curve, and surface area of ​​a solid revolution.

3.      Using definite integrals to calculate areas in polar coordinate systems.

4.      Determining the convergence of sequences and series using various kinds of convergence tests.

Content

Integration Techniques, Application of Certain Integrals (volume of rotating objects, area of ​​polar coordinates, length of arc, area of ​​shell of rotating objects, center of gravity, moment of inertia), Sequences and Series.

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+18% assignment + 27% Quiz + 22% midterm + 23% final exam.

Final index is defined as follow:

Reading list

1. Stewart J., Clegg D., dan Watson S. (2019). Calculus: Early Transcedentals, United State of America.
2. Varberg, D., Purcell, E., and Rigdon, S. (2014). Calculus. Early Transcendentals, 13th edition. Boston: Pearson.