Academic Catalog

MATH250 ADVANCED CALCULUS IN STATISTICS

Course Code: 2360250
METU Credit (Theoretical-Laboratory hours/week): 5(4-2)
ECTS Credit: 9.0
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Prof.Dr. MURAT HAYRETTN YURDAKUL
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360152
Set 2: 2360120
Set 3: 2360118
One of the sets above should be completed before taking MATH250 ADVANCED CALCULUS IN STATISTICS.

Course Content

Review of Multidimensional Calculus. Derivatives of multivariable functions, continuity of multivariable functions. Fundamental Lemma for differentiability. Chain rule and Taylor`s Theorem for multivariable functions. Jacobian. Inverse and Implicit Function Theorems. Topology of R2 and R3. Riemann-Stieltjes Integral, integrability. Integrability of continuous functions, sequences of integrable functions. Bounded convergence and Riesz Representation Theorems. Theorems of Integral Calculus: Integration in Cartesian spaces. Improper and infinite integrals. Series of functions.