© Eastern Mediterranean University

## FALL TERM 2019 - 2020

List of ALL FINAL EXAMINATIONS
------------------------------------------------------------------------------------------------------------------------------------------
MAKE-UP EXAMINATIONS
DATE: JAN. 18, 2020 SATURDAY
TIME: 10:15
PLACE: CLA 13 and CLA 14.
•
It is compulsory to show student identification card in order to be able to attend examinations.Those who will not be able
to show identification card will not be allowed to attend the examination.
SUBJECTS:
Students will be responsible for the subject of the examination they are going to sit for the Make-up. (AS SHOWN BELOW)
------------------------------------------------------------------------------------------------------------------------------------------
FINAL EXAMINATION
DATE: JAN. 02, 2020 THURSDAY
TIME: 12:30
PLACE: Placement will be announced on Student Portal Click to go to Student Portal.
•
Students are obligated to attend the examination in the scheduled room.They will not be allowed to attend the
examination in a room which is not scheduled for them.
•
It is compulsory to show student identification card in order to be able to attend examinations.Those who will not be able
to show identification card will not be allowed to attend the examination.
SUBJECTS: Including TUTORIALs 9 - 12.
•
DOUBLE INTEGRALS: Iterated Integrals, Area of a Plane Region, Volume of Solids, Changing the Order of Integration,
Fubini’s Theorem, Polar Coordinates, Conversion Between Cartesian and Polar Coordinates, Double Integrals in Polar
Coordinates.
•
TRIPLE INTEGRALS: Triple Integrals in Rectangular Coordinates, Volumes of Solids Using Triple Integrals, Changing the
Order of Integration, Cylindrical Coordinates, Triple Integrals in Cylindrical Coordinates.
•
VECTOR ANALYSIS: Vector Fields in Two and Three Dimension, Gradient Fields and Potential Functions, Conservative
Vector Fields, Curl of a Vector Field, Divergence of a Vector Field.
•
LINE INTEGRALS: Integrals of Scalar Functions in the Plane and in Space, Line Integrals of Vector Fields, Work
Integrals, Line Integrals in Differential Form, Conservative Vector Fields, Independence of Path, Fundamental Theorem of
Line Integrals.
•
GREEN’S THEOREM: Circulation Form of Green’s Theorem.
•
SURFACE INTEGRALS: Surface Integrals of Scalar-Valued Functions, Surface Integrals on Explicitly Defined Surfaces,
Surface Integrals of Vector Fields, Flux Integrals
•
DIVERGENCE THEOREM (GAUSS’S THEOREM) for Surface Integrals.
•
STOKES’ THEOREM for Line Integrals.
-------------------------------------------------------------------------------------------------------------------------------------------
MIDTERM EXAMINATION 2
DATE: DEC. 14, 2019 SATURDAY
TIME: 10:30
PLACE: Exam rooms are CLA 12, CLA 13, CLA 14, CLA 22, CLA 23 and CLA 24. Click to find your room.
o
Students are obligated to attend the examination in the scheduled room.They will not be allowed to attend the
examination in a room which is not scheduled for them.
o
It is compulsory to show student identification card in order to be able to attend examinations.Those who will not
be able to show identification card will not be allowed to attend the examination.
SUBJECTS: Including TUTORIAL 8, TUTORIAL 9 and Questions 1-6 in TUTORIAL 10.
•
DIRECTIONAL DERIVATIVES AND THE GRADIENTS: Directional Derivatives, The Gradient of a Function of Two
Variables, Definition of Directional Derivative Using Gradient, Interpretations of the Gradient, The Gradient and Level
Curves, The Gradient and Directional Derivative for Three Variables.
•
TANGENT PLANES AND NORMAL LINES TO A SURFACE: Tangent Planes and Normal Lines: Tangent Planes for
F(x,y,z)=0, Normal Lines.
•
EXTREMA OF A FUNCTION OF TWO VARIABLES: Absolute Extrema and Relative Extrema, Critical Points, Second
Derivative Test for Relative Extrema.
•
DOUBLE INTEGRALS: Iterated Integrals, Area of a Plane Region, Volume of Solids, Changing the Order of Integration,
Fubini’s Theorem, Polar Coordinates, Conversion Between Cartesian and Polar Coordinates, Double Integrals in Polar
Coordinates.
-------------------------------------------------------------------------------------------------------------------------------------------
MIDTERM EXAMINATION 1
DATE: NOV.11, 2019 MONDAY
TIME: 12:30
PLACE: see student portal
SUBJECTS:
•
POLYNOMIAL APPROXIMATION OF FUNCTIONS: Linear and Quadratic Approximation, Taylor and Maclaurin
Polynomials, Approximation with Taylor Polynomials
•
POWER SERIES: Definition, Center and Radius, Interval of Convergence, Endpoint Convergence, Operations with Power
Series, Differentiating and Integrating Power Series
•
TAYLOR AND MACLAURIN SERIES: Taylor/Maclaurin Series for a Function, Convergence of Taylor/Maclaurin Series,
Limits using Taylor/Maclaurin Series, Taylor/Maclaurin Series for Composite Functions, Differentiating Taylor/Maclaurin
Series to Find Taylor/Maclaurin Series of the Derivative, Using Taylor/Maclaurin Series for Approximating Integrals.
•
PARAMETRIC EQUATIONS: Basic Ideas, Plane Curves and Parametric Equations, Parametric Parabola, Parametric
Circle, Parametric Lines, Eliminating the Parameter.
•
2D and 3D CARTESIAN COORDINATE SYSTEM: Distance Between Two Points, Equation of a Circle and a Sphere.
•
VECTORS: Basic Vector Operations, Scalar Multiplication, Vector Addition and Subtraction, Component Form of a Vector,
Magnitude, Vector Operations in Terms of Components, Unit Vectors, Unit Vector in the Direction of a Vector, Properties
of Vector Operations, Parallel Vectors.
•
DOT PRODUCT OF VECTORS: Two Forms of the Dot Product, Properties of Dot Products, Orthogonal Vectors, Angle
Between Two Vectors, Direction Cosines, Orthogonal Projections.
•
CROSS PRODUCT OF VECTORS: The Cross Product, Properties of the Cross Product, Geometric Properties of Cross
Product, Triple Scalar Product, Volume by the Triple Scalar Product.
•
LINES AND PLANES IN SPACE: Parametric and Symmetric Equations of Lines in Space. Parametric Equation of a Line
Segment. Distance Between a Point and a Line in Space. Standard and General Form of a Plane in Space, Parallel and
Orthogonal Planes, Angle Between Two Planes, Line of Intersection of Two Planes, Distance Between a Point and a
Plane, Distance Between Two Parallel Planes.
•
VECTOR – VALUED FUNCTIONS: Space Curves and Definition of Vector-Valued Functions, Orientation of Curves, Limit
of a Vector – Valued Function, Differentiation of Vector – Valued Functions, Higher Derivatives, Integration of Vector –
Valued Functions.
•
ARC LENGTH OF CURVES: Arc Length.
•
FUNCTIONS OF SEVERAL VARIABLES: Functions of Two Variables, Graph of Function of Two Variables, Level Curves,
Contour Maps, Functions of More Than Two Variables, Level Surfaces. Limit of a Function of Two Variables, Limits at
Boundary Points, Two-Path Test for Nonexistence of Limits.
•
PARTIAL DERIVATIVES: Partial Derivatives of a Function of Two Variables, Slopes of a Surface in the x- and y-
Directions, Higher Order Partial Derivatives, Partial Derivatives of Functions of Three or More Variables.
•
CHAIN RULE FOR FUNCTION OF SEVERAL VARIABLES: The Chain Rule with One Independent Variable, The Chain
Rule with Several Independent Variables, Implicit Partial Differentiation.
Tutorial Questions related to above subjects are included...
Important Notes
1.
It is compulsory to show student identification card in order to be able to attend examinations. Those who will not be able
to show identification card will not be allowed to attend the examination.
2.
Students are obligated to attend the examinations in the scheduled room. They will not be allowed to attend the
examination in a room which is not scheduled for them.
FALL TERM 2019 - 2020