Module Handbook


Module Name:

Calculus I

Module Level:


Abbreviation, if applicable:


Sub-heading, if applicable:


Courses included in the

module, if applicable:



1st/ FirstYear

Module coordinator(s):

Dr. Mohammad Imam Utoyo, M.Si.,


Dr. Mohammad Imam Utoyo, M.Si., Dr. Windarto, M.Si., Dr. Miswanto, M.Si., Zahidah,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:

2 hours lectures (50 min / hour)

1 hours tutorial(100min / hour)


Dirinci 2 jam kuli 1 o1 hours tutorial , a1 hours tutorial h 2 jam tutorial


2 hours 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:




Learning goals/competencies:

General Competence (Knowledge)

Use the concepts of calculus, especially in life sciences


Specific Competence:

1. Solve an equation and an inequality

2. Apply a system of linear equation

3. Sketch the graph of a function

4. Find the limit of a function

5. Use the limit to determine the continuity of a function

6. Find derivatives of a function

7. Apply of the derivatives of a function


An equations andaninequalities (linear, quadratic and cubic polynomial, rational, and absolute), systems of linear equations (substitutionmethods, eliminationmethodsand applied), functions(polynomial functions up to threedegree, the roots of rationalfunctions, trigonometricfunctions, inverse trigomometric functions, exponentialfunctions, logarithmic functions, step functions, implicitfunctions, and parametric functions), functionsoperations, composition of functions and inverse functions. Limit, continuity and applied, the definition and propertiesof the derivative, derivative functions(special functions, the chain rules, implicit, parametric, and the second derivative) and applied(infinite limit, velocity, acceleration, and other rates of change, approximation, Apply the MeanValue Theorem for derivatives, L'hospital rule , Maximum-minimum, sketch the graph of the function using information gathered from the first and second derivatives)

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 projectorsand whiteboards

Learning Methods

Lecture, tutorial, and assessments


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

[2] Stewart,J.,2001, Kalkulus, JilidII, Erlangga, Jakarta.