Subject Name : Engineering
Mathematics III
Code / Credit
: EE 201/ 3 sks
Course status :
Compulsory
Semester / The academic year : III/ Gasal 2012-2013
Pre-requisites/Co-requisites : (P) Engineering Mathematics II
Lecturer : Yuliati, S.Si,
MT
Description of Subjects : This
course contains knowledge of problem solving techniques into mathematical
models to solve problems analytically or
using a computer approach.
Competency standards /
Learning Outcomes :
Students are able to:
1. Analyze data and create solutions to problems.
2. Using computer programs and applications.
3. Collaboration and presentations in the classroom.
Reference books :
1. Kreyszig Erwin. 2006. Advanced Engineering Mathematics 9th
Edition. John Wiley & Sons.
2. Dale Varberg & Edwin J Purcell. 2007. Calculus with Analytic
Gemetry 9th Edition. Prentice Hall International.
3. Jeffrey Alan. 2002. Advanced Engineering Mathematics. Harcourt
Academic Press.
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Week
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Basic competencies / capabilities end to be achieved
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Study materials
(teaching materials)
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Reference
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Learning Model
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Learning Media
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Criteria for Assessment
(Indicator)
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Form of evaluation
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Weight rating
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Subject
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Sub subject
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1
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Students
understand the purpose and objective approach to learning with SCL
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SCL Guidelines
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Explanation of the
implementation of the teaching of the SCL, Rules lectures, assignments, and
assessments
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The
presentation of the lecturer
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lectures +
discussion
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LCD projector, whiteboard.
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-
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-
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1
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Students are
able to compute operations on complex numbers
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Numbers and
functions of complex variables (1)
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Introduction; Complex Numbers, the complex plane, polar form, square
roots and roots of complex numbers.
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(1)
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Informal
presentations and discussion groups
(Lecturer
describes an outline of the material "Complex Numbers", students
are given the task of group discussions "create 5 examples sums
following discussion of the operation of the complex number system",
student discussions in small groups, the results were presented to the class
discussion.
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LCD projector, whiteboard, calculator.
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Short test, homework to practice the questions
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5%
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2
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Students are
able to define analytic functions of a complex variable function
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Numbers and functions
of complex variables (2)
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Cauchy-Riemann equations, geometry analytic
functions, conformal mapping.
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(1)
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Informal
presentations and discussion groups
(Lecturer
describes an outline of the material "Analytic Functions", students
are given the task of group discussions "create 5 examples of the following discussion about how to
define analytic functions", students in small group discussions, the
discussions presented in the class.
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LCD projector, whiteboard, calculator.
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Short test, homework to practice the questions.
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5%
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3
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National Holiday
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4
5
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Numbers and functions
of complex variables (3)
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Exponential functions, trigonometric
functions, hyperbolic functions, logarithms, power functions, Integral line
in the complex plane
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(1)
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Informal
presentations and discussion groups
(Lecturer
describes an outline of the material "Type Functions Complex
Variable", students are given the task of group discussions "create
5 examples of the following discussion questions, student discussions in
small groups, the results were presented to the class discussion.
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LCD projector, whiteboard, calculator.
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Short test, homework to practice the questions.
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5%
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6
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Quiz I
Linier Programming (1)
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·
Materials Quiz on Numbers and Function of Complex
Variables Chapter 12 and 13 (Time 2x50minutes)
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The basic concept, non constrained optimization,
linear programming, simplex method
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(1)
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·
Lecturer describes an outline of the material "Linear
Programming".
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Students are given the task of discussion groups to discuss the
material in accordance with predetermined by the lecturer in this chapter.
·
The results were presented to the class discussion.
·
Lecturer reiterated important points about the material that has
been presented by each group.
• Lecturer
provide conclusions about the material that was presented by the students.
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LCD projector, whiteboard, calculator.
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• Students are able to
complete the corresponding quiz questions correctly
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Written tests, open book
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25%
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7
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Students are
able to use the application cases the linear program
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Linier Programming
(2)
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Simplex method, degeneracy, difficulty in
starting, Review Material
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(1) and (2)
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·
Presentation and discussion in small groups
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Each group discussed the matter in accordance with predetermined by
the lecturer in this chapter.
·
Lecturer reiterated the important points about the material
"Linear Programming and Simplex
Method".
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Lecturer provide conclusions about the material that was presented
by the students.
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LCD projector, whiteboard, calculator.
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Based on the
criteria of assessment rubrics student presentations have been made by the
lecturer.
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Short test, homework to practice the questions.
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25%
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8
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9/10
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Mid Semester
Exam (UTS)
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35%
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11
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Students are
able to complete the numerical counting
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Numerical methods (1)
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Introduction, floating point, rounding, error
propagation; Solving these equations by iteration; Interpolation
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(1)
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·
Lecturer describes an outline of the material "numerical
method".
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Students are given the task of discussing the matter in accordance
with predetermined by the lecturer in this chapter.
·
The results of MATLAB simulation program presented in front of the
class.
·
Lecturer reiterated important points about the subject matter of
each group.
• Lecturer
provide conclusions about the material that was presented by the students.
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LCD projector, whiteboard, calculator.
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Students are
able to solve numerical problems using MATLAB
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Task completion numerical method using MATLAB programming
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25%
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12
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Numerical methods (2)
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Numerical integration and differentiation
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13
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Numerical methods (3)
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Linear Systems (Gaussian elimination
numerically), LU factorization, matrix inverse, Solution by Iteration, ILL
conditioning, norm
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14
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Students are
able to solve problems using a variety of statistical methods
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Statistical Methods (1)
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Introduction; method of collecting and
presenting data for the data set slightly; method of collecting and
presenting data for many data sets; measures of location and spread;
Binomial, Poisson, and Hipergeometri; Normal distribution; distribution of
some random variables
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Short test, homework to practice the questions.
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15%
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15
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National Holiday
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16
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Statistical Methods (2)
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Introduction: random sampling; parameter
estimation, point estimation, confidence interval; tests the hypothesis
one-sided and two-sided; Simple Linear Regression
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17
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Quizzes and review materials UAS
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25%
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18 19
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Final Semester Exam (UAS)
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35%
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Prepared by:
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Checked by:
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Approved by:
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Lecturer
(Yuliati, S.Si, MT )
NIK.511.99.0402
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Course Coordinator
(----------------------------------)
NIK.
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Head of Department
(----------------------------------)
NIK.
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Date : 31 July 2012
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Date :
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Date :
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