Izlence

Course Code & Number:

MATH 102

Course Title:

Multivariable Calculus

Level:

BS

Credit Hours/ ECTS Credits:

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

Academic Year

2019

Semester

Summer

Catalog Description:

Sequences, Series, Taylor Series, Vectors in R2 and R3, Dot and Cross Products, Lines and Planes in R3, Functions of Several Variables, Their Limits and Continuity, Partial Derivatives, Directional Derivatives, Maximum-minimum problems, Lagrange Multipliers, Double Integrals, Triple Integrals, Vector-Valued Functions and, Their Limits, Continuity and Derivatives, Vector Fields, Line Integrals, Green’s Theorem

Pre-requisite / Co-requisite

Instructor:

Levent Aybak

Sap Event ID:

50115481

Learning Outcomes:

Upon successful completion of this course, a student will be able to:

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: