Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT31420121310PROFESSIONAL FOREIGN LANGUAGE- IIElective365
Level of Course Unit
First Cycle
Objectives of the Course
Students will be able to benefit from English books.
Name of Lecturer(s)
Doç. Dr. Mehmet KORKMAZ
Learning Outcomes
1Students who successfully complete this course will benefit from English math textbooks.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Parallel topics in Mathematics Analysis course: Numbers. Trigonometry. Function Classes. Properties of Functions. Continuity in functions. Continuity Theorems. Derivative. Differential and Its Applications. Differential Fundamental Theorems. Change of a function. Curve Drawing.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Basic concepts, solutions, First order equations
2Equations with separable variables
3Homogeneous equations
4Integral multiplier; linear equations
5Clairant and Lagrange's equations
6Second order linear equations with constant coefficients, homogeneous and inhomogeneous
7Limit of multivariable function and continuity
8Midterm exam
9Pointwise and uniform convergence, Weierstrass approximation theorem
10Absolute and uniform convergence
11Vector valued functions: Limit and continuity
12Extrema and critical points
13Constrained problems: the method of Lagrange multipliers
14Method of variation of parameters
15Applications related to line integrals
16Final exam
Recommended or Required Reading
Andrew Browder, Mathematical Analysis, Springer, New York, 1996 Dennis D. Berkey, Calculus, Saunders College Publishing, New York, 1988 Written Mathematical Papers in English
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination111
Quiz428
Attending Lectures14456
Self Study14114
Individual Study for Homework Problems14114
Individual Study for Mid term Examination21020
Individual Study for Final Examination21224
TOTAL WORKLOAD (hours)139
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
LO14245332
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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