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: |
Lecturer Dr. MUHÝDDÝN UÐUZ |
| 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.
