MATH 206

Course Code & Number

MATH 206

Course Title

Calculus II

Level

BS

Credit Hours/ ECTS Credits

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

Year of Study:

Sophomore

Semester:

Spring

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite:

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.

Course 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.