Module Handbook


Module Name:

Calculus II

Module Level:


Abbreviation, if applicable:


Sub-heading, if applicable:


Courses included in the

module, if applicable:



2nd/ FirstYear

Module coordinator(s):

Dr. Mohammad Imam Utoyo, M.Si.,


Dr. Mohammad Imam Utoyo, M.Si., Dr. Windarto, M.Si., Dr. Miswanto, M.Si., Ahmadin,S.Si.,M.Si., Abdullah Jaelani, S.Si.,M.Si., M. Yusuf Syaifuddin, S.Si.,M.Si., Dra. Utami Dyah Purwati,M.Si., Dra. Suzyanna,M.Si.


Bahasa Indonesia

Classification within the


Compulsory Course / Elective Studies

Teaching format / class

hours per week during semester:

2hours lectures (50 min / hour)

1hours tutorial(100min / hour)


Dirinci 2 jam kuli 1 o1hours tutorial , a1hours tutorial h 2 jam tutorial


2hours lectures,1 hour tutorial,2

hour structural activities, 3hours individual study,13 week per semester, and total 97,5 hours per semester 3.9 ECTS

Credit Points:



Calculus I

Learning goals/competencies:

General Competence (Knowledge)

Understand the concept of integration and their use


Specific Competence:

1.       Evaluate integration as antiderivative

2.       Choose the best technique of integration

3.       Evaluate definite integrals using the Fundamental Theorem of Calculus

4.       Determine the area between two curves 

5.       Evaluate an integrals with infinite intervals of integration and integrals with discontinuous integrands

6.       Determine the volume of a solid of revolution

7.       Determine the length of a curve

8.       Determine the surface area of a solid of revolution


Integration as antiderivatives, Techniques of Integration (Substitution, Integration by Parts, Partial Fractions, and Trigonometric Methods), Definite Integration (The Definite Integral he Fundamental Theorem of the Calculus and Summation and the Definition of Area), improper integrals, and apply of integrals (volume, arc length, and surface area)

Soft skill Attribute

Active, honest, and disciplined

Study/exam achievements:

Students are considered to be competent and pass if at least get 40.

Final score (NA) is calculated as follow: 10 % softskills, 10 % tutor assessment, 15 % assignment, 15 % quiz,25 % midterm exam,30% final exam


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:

LCD projectorsandwhiteboards

Learning Methods

Lecture, tutorial, and assessments


[1] Purcell, 2008, Kalkulus I Jilid I, Edisi 8, Erlangga, Jakarta

[2] Stewart,J.,2001, Kalkulus, Jilid II, Erlangga, Jakarta