MAA101 – Calculus

Module designation

Calculus (MAA101)

Semester(s) in which the module is taught

1^st

Person responsible for the module

Muchammad Yusuf Syaifuddin

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

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

3×170 minutes (3×50 minutes lecture and lesson, 3×60 minutes structural activities, 3×60 minutes self-study) per week for 16 weeks

Credit points

3 CP (4,8 ECTS)

Required and recommended prerequisites for joining the module

–

Module objectives/intended learning outcomes

General Competence (Knowledge):

  Capable of using calculus concepts, especially in life sciences.

Specific Competence: student capable of

1.      Solving equations and inequalities.

2.      Drawing a graph of the given function.

3.      Calculating the limits of a given function and determining the continuity of a given function.

4.      Using function derivatives to solve the given problem.

5.      Determining the indefinite integral of a given function.

6.      Using simple differential equations.

7.      Using definite integrals to calculate the area of ​​a plain.

Content

Equalities and inequalities (polynomials of degree up to three, rational, and absolute), functions (polynomials of degree up to three, rational, roots, trigonometry, cyclometry, exponents, logarithms, steps, implicit, and parametric), function operations, function composition and inverse functions, limits, continuity and their applications, definition and properties of derivatives, derivatives of functions (special functions, chain rule, and second derivatives) and their use (limits of indefinite forms, rates, L’hospital’s rule, maximum-minimum and drawing graphs), indefinite integrals (indefinite integral as anti-derivative, simple substitution, partial integral, simple rational breakdown), Introduction to differential equations DE (definition, separate DE, separable DE, Homogeneous DE, exact DE), Definite integral and its applications (Fundamental Theorem Calculus, areas, improper integrals).

Examination forms

Essay

Study and examination requirements

Students are considered to pass if they at least have got final score 40 (D).

Final score is calculated as follow: 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.