MATH 250: ADVANCED CALCULUS FOR STATISTICS

Instructor: Songül Kaya Merdan
Meeting time and place: Wednesday 8:40-10:30 B05 Thursday 15:40-17:30 M103

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Office Hours: Monday 14:00-15:00 pm or by appointment
Office: M136
E-mail: smerdan@metu.edu.tr

Web: http://www.metu.edu.tr/~smerdan/

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Recitation will be conducted by Sevtap Ozisik on Thursdays: 8:40-10:30 at (M104)

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Content

This course covers review of multivariable calculus, derivatives of multivariable functions, continuity of multivariable functions, and fundamental lemma for differentiability. We will study Chain rule and Taylor’s theorem for multivariable functions, Jacobian, inverse and implicit function theorems.

Topology R² and R³. Riemann-Stieltjes integral, integrability, integrability of continuous functions, sequences of Integrabile functions, Bounded convergence and Riesz representation theorems, theorems of integral calculus. Integration in Cartesian spaces. Improper and infinite integrals, series of functions.

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Class notes are basis of this course.

Suggested Books:

-Advanced Calculus, W. Kaplan, 1993, Fourth Edition

- Advanced Calculus, M. Spiegel, 1962

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Grading Policy: The final grade will be based on three exams:

Midterm 1: 30 %
Midterm 2: 30 %
Final: 40%

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Make up exams In order to be eligible for entering a make-up examination for a missed examination, a student should have a documented or verifiable, and officially acceptable excuse. There will be one make-up examination after the final and all topics will be covered in this exam.

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FINAL EXAM

YOU MIGHT SEE YOUR EXAM ONLY ON FRIDAY AT ROOM M136

BETWEEN 10:00-11:15

DATE: 23.01.2009