LECTURES CONTRACT

Course : Calulus II

Course Code : KPC 9208

Semester : II

Date/Time : Tuesday/07.30 - 10.00 AM

Class : F8

Course Status : Compulsory

1. Course Description

Calculus II is an integral basic courses that discuss a variety of functions concepts,

theorems, and algorithms are intuitive and not too formal, and their application in various

problems. The topics studied in this course is the anti derivative, the definite integral,

transcendental functions, techniques of integration, indeterminate forms and improper

integrals, and the use of the definite integral.

2. Course Objectives Students understand some concepts and theorems of integral functions and can think

logically in solving the existing problems.

3. Learning Method

o Lectures

o Discussion

o Presentation

o Q & A

o Work assignments, quizzes, midterms and final exams 4. Material / Reading Material

• Martono, K. (1999). Calculus. Jakarta: Erlangga.

• Mursita, D. (2006). Basic Mathematics for College. Jakarta: Rekayasa Sains.

• Purcell, E. J. and Varberg, D. (1987). Calculus and Analytical Geometry Volume I.

(Fifth Edition). Jakarta: Erlangga.

• Steward Stewart, J. (2001). Calculus Volume 1. Fourth Edition. Jakarta: Erlangga.

• Basic Math TPB. (1997). Basic Math I. Pekanbaru: TPB Matdas University of Riau. 5. The task for students

The task given to the students divided into two groups of tasks and individual tasks. The

task group in the form of the distribution of material by lecturers to be presented by each

group in several meetings and the problems to be solved in groups. Each group consists

of 6-7 people. While the individual tasks in the form of questions given in the form of a

series of meetings and homework.

6. Criteria for assessment of student learning outcomes

Student learning outcomes assessment is done by giving assignments, quizzes, and exams

are determined by the weight of assessment of students and lecturers. Students are

considered successful if it had received at least C.

Valuation: Criteria of Assessment with

PAP:

Item Score

Percentage

Total Score Letter Score

Task 20 % 85 < NT ≤ 100 A

Quiz 20 % 81 ≤ NT ≤ 85 A-

Mid Test 30 % 76 ≤ NT < 81 B+

Final Exam 30 % 71 ≤ NT < 76 B

Total Score 100 % 66 ≤ NT < 71 B-

61 ≤ NT < 66 C+

51 ≤ NT < 61 C

45 < NT < 51 D

0 ≤ NT ≤ 45 E

7. Lecture Schedule

Meeting Topic

I

Anti derivative

Anti derivative concept

Indefinite integral concept

Indefinite integral formulas

II

Definite integral

The principle of mathematical induction

Definite integral as the limit of Riemann

III

Definite integral

• The first fundamental theorem of calculus

• The second fundamental theorem of calculus

• The properties of the definite integral further

IV Quiz 1

V

Transcendent function

• The function of the natural logarithm

• The use of the natural logarithm function

VI

Transcendent function

• Exponential function

• The use of exponential functions

VII

Transcendent function

• Hyperbolic and inverse functions

VIII Mid Test

IX

Techniques of integration

• Integral partial

• Integral trigonometric functions

X

Techniques of integration

• Integral with trigonometric function replacement

XI

Techniques of integration

• Integral rational function

XII

Indeterminate form and improper integrals

• Indeterminate Forms

• Improper integrals

XIII Quiz 2

XIV The use of the definite integral

• The total area

XV

The use of the definite integral

• Content (volume) objects rotate

XVI

The use of the definite integral

• The center of mass

XVII Sequences and series

• Rows

• Monotonous and limited rows

• Infinite series with constant terms

• Infinite series with positive terms

XVIII Final Exam

Pekanbaru, February 2013

Lecturer,

Team Teaching