Izlence

Course Code & Number:

MATH 206

Course Title:

Calculus II

Level:

BS

Credit Hours/ ECTS Credits:

(3+2+0) 4 TEDU Credits, 7 ECTS Credits

Academic Year

2019

Semester

Spring

Catalog Description:

Indefinite Integral. Techniques of integration. Arc length. Volumes and surface areas of solids of revolution. Improper integrals. Sequences and infinite series. Power series. Taylor series. Vectors and analytic geometry in 3-space. Functions of several variables:Limits, continuity, partial derivatives, chain rule, directional derivatives, tangent plane and linear approximations. Extreme values. Lagrange multipliers. Double integrals. Triple integrals.

Pre-requisite / Co-requisite:

Instructor:

Elçin Emre Akdoğan

Sap Event ID:

50102632

Learning Outcomes:

1. Recall notations, conventions, definitions, theorems and certain examples and counterexamples,
2. Test the series for convergence/divergence, represent elementary and transcendental functions of one variable as Taylor or Maclaurin series.
3. Perform vector operations such vector addition, scalar-vector multiplication, dot product and cross product,
4. Relate vector operations to geometric notions and structures such as distance, projection, orthogonality, parallelism, lines and planes in R³,
5. Solve max-min problems and problems of Lagrange multipliers for multi-variable scalar functions,
6. Evaluate limits, partial derivatives, directional derivatives, and multi-integrals of multivariable scalar functions in various coordinate systems,
7. Compute limits, derivatives, integrals and curvature of vector valued functions,
8. Evaluate line integrals,
9. Evaluate divergence, and curl of vector fields,
10. Use Green's Theorem to evaluate line integrals.

Learning Activities and Teaching Methods:

Assessment Methods and Criteria: