Module(Course Syllabus)Catalogue 2019-2020 B_Mathematics- 1st class-2020 EVENING.pdfthat mathematics...
Transcript of Module(Course Syllabus)Catalogue 2019-2020 B_Mathematics- 1st class-2020 EVENING.pdfthat mathematics...
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Module(Course Syllabus)Catalogue
2019-2020
College/ Institute Erbil Polytechnic University
Department Electricity Technique
Module Name Mathematics
Module Code MAT104 Semester 1st
Credits 6
Module type Prerequisite Core Assist.
Weekly hours
Weekly hours (Theory) (2)hr Class ( 67 )hr Workload
Weekly hours (Practical) (2)hr Class ( 67 )hr Workload
Lecturer (Theory) pishtiwan K. Mahmoud
E-Mail& Mobile NO. pishtiwankamalmahmoud@ gmail.com
Lecturer (Practical) pishtiwan K. Mahmoud
E-Mail & Mobile NO. pishtiwankamalmahmoud@ gmail.com
1
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Course Book
Course Description
The aim of the course is to strengthen the student's techniques in
mathematics, in particular, linear algebra, calculus and complex numbers
needed by electrical, mechanical, electronic, communications and
computer systems technicians.
Course objectives
It is aimed at broadening the students’ appreciation of the central role
that mathematics plays in the development and practice of engineering
as well as motivating the inclusion and use of essential analytical
concepts, calculus methods and linear mathematics major to
engineering. The course helps students to further develop the skill of
analysing problems in a rational (rigorous, logical) and methodical
manner. Another aim is developing the students’ ability to transfer their
mathematical understanding (and the associated methods) to diverse
engineering application areas.
Student's obligation
Late arrival to the classroom disturbs everyone; please DO NOT show up in class if you are late. Homework is a critical part of the course, and to fully understand the topics, it is essential that you work carefully on every examination and try your best to do every problem. Because after the scheduled date solutions for the homework will be given, so no homework will be accepted after the deadline. You are to submit your homework assignment every Sunday. Each week every of the submitted homework will be marked.
During the two-hour weekly theoretical part, lectures will be presented
through the projector and solutions of examples will be explained on the
white board.
Required Learning Materials
Basics of mathematics in Functions,Trigonometric functions,Exponential and logarithmic functions,Matrices,Differentiation,&Integrations.
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Assessment scheme
16% Mid Term (Theory and practical) 4% Quiz 40% Assignment (report, paper, homework, seminar..) 25% final practical 15% final theory
Specific learning outcome:
1- . Determine the domain and range of a function
2-Knowing the inverse of a trigonometric function
3-Application of logarithms and exponential function.
4-Develop and use a strategy for finding limits.
5- Multiply a matrix by a scalar and multiply two matrices together
6- Differentiate by using a list of standard derivatives
Course References:
K.A. Stroud, Dexter J. Booth, 2001.Engineering mathematics, Industrial Press Inc, New York. K. S. Rattan,N. W. Klingbeil,2015.Introductory Mathematics for Engineering Applications,John Wiley,USA.
J. Stewart, 2012.Calculus: Early Transcendentals, Brooks/Cole, USA.
C. R. Wylie, J R.,1966.Advanced Engineering Mathematics,McGraw-Hill, UK.
J. Bird, 2007.Engineering mathematics, Elsevier Ltd., UK. L. Glasgow,2014,Applied Mathematics for Science and Engineering, John Wily,USA, G. Fiche,2008.Mathematics for Engineers, John Wiley,USA.
Course topics (Theory) Week Learning
Outcome Functions: Functions are rules but not all rules are
functions,Domain and Range,Functions and the arithmetic
operations, Inverses of functions, Inverses of functions, and
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inverses of functions.
Exponential and logarithmic functions:Exponential
functions, Indicial equation.
2
Trigonometric functions:Rotation, Sine function, cosine
function, Tangent function, Period, Amplitude, Phase difference,
Inverse trigonometric functions.
3
Limits: The Limit of a Function, Limits of Rational Function, Limits
of Trigonometric Function.
4
Matrices: Definitions, Matrix notation, Equal matrices, Addition and
subtraction of matrices, Multiplication of matrices, Transpose of a
matrix
5
Matrices:Determinant of a square matrix,Determinant of a square
matrix
6
Solution of a set of liner equations:Cramer’s
Rule,Application of determinants.
7
Vectors:Introduction: scalar and vector quantities, Vector
representation, Components of a given vector,
8
Vectors: Vectors in space, Direction cosines, Scalar product of two
vectors, Vector product of two vectors, Vector product of two vectors,
Direction ratios.
9
Differentiation: Standard derivatives, Derivative of Trigonometric
function,
10
Differentiation: Logarithmic differentiation, Implicit function,
Parametric equation.
11
Differentiation Application: Equation of a straight line,
Differentiate the inverse trigonometric functions.
12
Differentiation Application: Differentiate the inverse
hyperbolic functions, Maximum and minimum value.
13
Integrations: Standard integrals, Functions of a liner function of X 14
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Integrations: Integration by part, Integration by partial fraction,
Integration of Trigonometrical functions
15
Integrations Application: Definite integrals, Area under curves, 16
Practical Topics Week Learning
Outcome Home work of Functions: Functions are rules but not all rules
are functions,Domain and Range,Functions and the arithmetic
operations, Inverses of functions, Inverses of functions, and
inverses of functions.
1
Home work of Exponential and logarithmic
functions:Exponential functions, Indicial equation.
2
Home work of Trigonometric functions:Rotation, Sine
function, cosine function, Tangent function, Period, Amplitude, Phase
difference, Inverse trigonometric functions.
3
Home work of Limits: The Limit of a Function, Limits of Rational
Function, Limits of Trigonometric Function.
4
Home work of Matrices: Definitions, Matrix notation, Equal
matrices, Addition and subtraction of matrices, Multiplication of
matrices, Transpose of a matrix
5
Home work of Matrices:Determinant of a square
matrix,Determinant of a square matrix
6
Home work of Solution of a set of liner equations:Cramer’s
Rule,Application of determinants.
7
Home work of Vectors:Introduction: scalar and vector quantities,
Vector representation, Components of a given vector,
8
Home work of Vectors: Vectors in space, Direction cosines, Scalar
product of two vectors, Vector product of two vectors, Vector product
of two vectors, Direction ratios.
9
Home work of Differentiation: Standard derivatives, Derivative
of Trigonometric function,
10
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Home work of Differentiation: Logarithmic differentiation,
Implicit function, Parametric equation.
11
Home work of Differentiation Application: Equation of a
straight line, Differentiate the inverse trigonometric functions.
12
Home work of Differentiation Application: Differentiate the
inverse hyperbolic functions, Maximum and minimum value.
13
Home work of Integrations: Standard integrals, Functions of a
liner function of X
14
Home work of Integrations: Integration by part, Integration by
partial fraction, Integration of Trigonometrical functions
15
Home work of Integrations Application: Definite integrals,
Area under curves,
16
Questions Example Design 1-Calculate:( Answer only 4 )
𝑎)𝑙𝑖𝑚𝑥→4
𝑥 − 4
𝑥2−𝑥−12 𝑏)𝑙𝑖𝑚
𝑥→2 (2x + 3) 𝑐)𝑙𝑖𝑚
𝑡→0
𝑠𝑖𝑛 (2𝑡)
𝑡
d)limx→2
(5x) 𝑒) 𝑙𝑖𝑚𝑡→0
sin (𝑡2)−1
𝑡𝑓) 𝑙𝑖𝑚
𝑥→4 (25 − 𝑥2)2
2-A- Write an equation for the line that passes through poin:
a) P (−2 , 3) with slope m = −2 .
b) P1 (3 , −2) and P2 ( 1 , 4 ).
B- Find the missing angles α , ( β ) in the below graphic
Extra notes: The one-hour weekly tutorials will be used primarily to assist you with the assignments. You will get
some hints and tips, and see some similar problems worked through. You may also see some extra
examples of problems related to the topics discussed in recent classes.
In addition to the textbook, lectures, and office hours where are other resources accessible that might
Directorate of Quality Assurance and Accreditation بوڕێوهبورایوتیدڵنیاییجۆریومتمانوبوخشین
be of use for you during the course. You can get lectures in two ways, first on my faculty website all of my lectures and homework sheets will be posted. Second, you can get a hard copy of them directly in the class.
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