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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 1002 CALCULUS II COMPULSORY 4 0 0 5

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR MELTEM ALTUNKAYNAK

Offered to

Chemistry (Evening) Statistics Statistics(Evening)

Course Objective

The aim of this course is to teach improper integrals, sequences and series of real numbers for the Taylor series of functions and the multivariable calculus (partial derivatives, surfaces, tangent planes, double and triple integrals).

Learning Outcomes of the Course Unit

1   Will be able to investigate the convergence of improper integrals, sequences and series of real numbers, Power and Taylor series 2   Will be able find the domains and ranges of multivariable functions 3   Will be able to investigate the limit and the continuity of multivariable functions 4   Will be able to calculate the partial derivatives of multivariable functions, solve the optimization problems in multivariable functions 5   Will be able to evaluate double and triple integrals, solve problems using double and triple integrals

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Improper Integrals: Type 1(Infinite Intervals) and Type 2 (Discontinuous Integrands). 2 Comparison Test for Improper Integrals. Sequences. 3 Series. Integral Test for Series. 4 Comparison Test for Series. Alternating Series. 5 Ratio Test for Series and Power Series. 6 Taylor and Maclaurin Series 7 Functions of two variables and their graphs 8 Limits and Continuity of Multivariable functions 9 Partial Derivatives, Higher Order Derivatives 10 Chain Rule, Implicit Differentiation 11 Maximum and Minimum Values 12 Double Integrals, Double Integrals over Rectangles, Double Integrals over General Regions, Properties of Double Integrals 13 Polar Coordinates, Double Integrals in Polar Coordinates, Applications of Double Integrals, Triple Integrals 14 Triple Integrals in Cylindrical and Spherical Coordinates, Applications of Triple Integrals, Change of Variables in Multiple Integrals

Recomended or Required Reading

Hass , J., Weir, M. D. and Thomas , G. B., Jr., University Calculus, Early Transcendentals ,International Edition, 2nd edition, Pearson, 2012.

Planned Learning Activities and Teaching Methods

face to face education, exams

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Vize 2 FN Final 3 BNS BNS VZ * 0.40 + FN * 0.60 4 BUT Bütünleme Notu 5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Evaluation of exams.

Language of Instruction

English

Course Policies and Rules

Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the undergraduate policy at https://fen.deu.edu.tr/en/

Contact Details for the Lecturer(s)

email: meltem.topcuoglu@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 4 56 Preparations before/after weekly lectures 14 2 28 Preparation for midterm exam 1 15 15 Preparation for final exam 1 20 20 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 123

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 LO.1 5 4 4 4 4 4 LO.2 5 4 4 4 4 4 LO.3 5 4 4 4 4 4 LO.4 5 4 4 4 4 4 LO.5 5 4 4 4 4 4