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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

ASISTANT PROFESSOR CELAL CEM SARIOĞLU

Offered to

Chemistry Chemistry (Evening) Statistics Statistics(Evening)

Course Objective

Learning Outcomes of the Course Unit

1   Will be able to express the convergence of improper integrals 2   Will be able to investigate the convergence of sequences and series of real numbers 3   Will be able to investigate the convergence of Power and Taylor series 4   Will be able find the domains and ranges of multivariable functions 5   Will be able to investigate the limit and the continuity of multivariable functions 6   Will be able to calculate the partial derivatives of multivariable functions 7   Will be able to solve the optimization problems in multivariable functions 8   Will be able to evaluate double and triple integrals 9   Will be able to 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); A Comparison Test for Improper Integrals 2 Sequences, Series 3 Series, Power Series 4 Taylor and Maclaurin Series 5 Functions of two variables and their graphs 6 Limits and Continuity of Multivariable functions 7 Preparation for midterm 8 Midterm 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

To be announced.

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + FIN * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 12 2 24 Preparation for midterm exam 1 20 20 Preparation for final exam 1 25 25 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 125

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 LO.6 5 4 4 4 4 4 LO.7 5 4 4 4 4 4 LO.8 5 4 4 4 4 4 LO.9 5 4 4 4 4 4