Course Details
Country:
Spain
Institution:
Universidad de Zaragoza
Course Title:
Calculus II
Course Number:
27006
Course Description:
This course will address the following topics:
Topic 1. Algebraic and topological properties in R
n
Topic 2. Functions of several real variables. Limits and continuity.
Topic 3. Partial derivatives and differentiability of real-valued and vector-valued functions. Higher order partial
derivatives. Functions of class C^p.
Topic 4. Taylor's formula. Application to the study of extreme points.
Topic 5. Implicit and inverse function theorems, change of variables.
Topic 6. Extreme points on manifolds and the Lagrange multipliers rule.
Topic 7. Integration in R^n. Differentiation under integral sign, change of variable and Fubini's theorem.
Topic 8. Integration of functions and 1-differential forms on paths. Poincaré's lemma.
Topic 9. Integration of functions and 2-differential forms on surfaces in R^3. Riemann-Green, Gauss-Ostrogradski
and Stokes theorems
Language:
Spanish
Approved Equivalent:
MATH 213
Attachment Files:
27006_en.pdf
