DCT1043

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DCT1043

• FOUNDATION OF MATHEMATICS

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Synopsis

• This course introduces and discusses the
  fundamental of mathematics focusing on providing
  a solid theoretical foundation for further work.
  Student are exposed to set theory, system number,
  equations, inequalities and absolute value,
  polynomials, matrices, system of equations and
  inequalities, functions and graphs and conic
  sections. This course integrates symbolic tools,
  graphical concepts, and numerical calculations.

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Learning Objectives

• Upon the completion of this course, students will
  have the ability to
• Define the basic techniques and methodologies of
  mathematics.
• Solve any related mathematical problem covered in
  this course
• Apply the concepts and methods studied into other
  related courses.

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Generic Skills

• At the end of the course, the students should
  have acquired the various generic skills targeted
  as below
• Team-working Student able to work in group to
  complete the given assessment in a time given.
• Communication skills Student able to communicate
  effectively in written and oral form through
  group discussion (assignment), tutorial and
  presentation session.
• Problem solving Implement the appropriate skills
  into problem solving process.

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Teaching Method

• Lecture - 3 hours per week
• Tutorial - 1 hours per week
• Independent Study - 1 credit 40 hours
• (120/15 8
  hours per week)
• Individual Assignment - 3 (7)
• Group Assignment - 1 (3)

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1 SET THEORY

• Introduction
• Venn diagram
• Set terminologies and Concepts
• Operation on sets
• Applications of set theory

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2 NUMBER SYSTEM

• 2.1 Real Number
• 2.2 Indices
• 2.3 Logarithm
• 2.4 Complex number

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EQUATIONS, INEQUALITIES AND ABSOLUTE VALUE

• Linear
• Quadratic Expressions and Equations
• Inequalities
• Absolute Values

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4 POLYNOMIALS

• Polynomials identities
• Remainder Theorem, Factor Theorem and Zeros of
  Polynomial
• Partial Fractions Decomposition

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5 MATRICES

• Definitions and Types of Matrices
• Operation on Matrices
• Determinant of Matrices
• Inverse Matrices

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SYSTEM OF EQUATIONS AND INEQUALITIES

• System of Linear Equations
• Solve using Inverse Matrix
• Solve using Cramers Rule
• Solve using Gauss Gauss-Jordan Elimination
  Method
• System of Nonlinear Equations
• System of Inequalities

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7 FUNCTIONS AND GRAPH

• Introduction to Functions
• Operations on Functions
• Composite and Inverse Functions
• The graph of a Function
• Polynomial, Quadratic and Rational Function
• Exponential, Logarithmic and Hyperbolic Functions
• Trigonometric Functions

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8 CONIC SECTIONS

• Introduction to Conic Section
• Circles, Parabolas, Ellipses and Hyperbolas

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ASSESSMENT

• Item Percentage ()
• Quizzes 10
• Assignment 10
• Test 1 20
• Test 2 20
• Final Exam 40
• Total 100

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REFERENCES

• Sullivan, M., Algebra and Trigonometry. 7th
  edition, Prentice Hall, 2005.
• Barnett, R.A, Ziegler, M.R. Byleen, K.E.,
  College Algebra, 7th edition, Mc Graw Hill, 2001.
• Hoo Soo Thong Khor Nyak Hiong, New Additional
  Mathematical, Pan Pacific Publications Pte Ltd,
  2001.
• Carson, T., Gillespie, E., Jordan, B.E.,
  Intermediate Algebra, Pearson Education, 2005.
• Miller, J. ONeill, M., Algebra for College
  Students, Mc Graw Hill, 2004.
• Angel, A.R., Abbott, C.D., Runde, D.C., A
  Survey of mathematics with applications, 7th
  edition, Pearson Addison Wesley, 2005.

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NOTES TUTORIAL

• Please download and print out all notes and
  tutorials from each chapter before class.
• http//notes.ump.edu.my
• Only even question will be discussed in tutorial
  class.

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CLASS RULE

• Always come early to my Class
• Class will start on time
• Class will only start after DOA
• Everyone must bring a copy of power point slide
  (notes) and calculator
• Please show good attitude
• Give me a copy of MC letter or any letter approve
  by your PA if you fail to come to my class. If
  not you will get KT for your softskill.

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LAST word

• Please enjoy your class.
• If you have any problem in Mathematics feel free
  to visit me at my room
• First floor FSKKP
• My phone number
• 09-5492145 (office)
• 019-769240