Course Profile

sap course 1536137313

Course Code:

MATH 206

Course Title:

Calculus II

Course Level:

BS

Credit Hours/ ECTS Credits:

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

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. 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:

Pre-requisites: MATH 205
Co-requisites: NONE
Semester: 
Spring
Type of Course: 
Compulsory
Mode of Delivery: 
Face-to-face
Language of Instruction: 
English
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.
Learning Activities and Teaching Methods: 
Telling/Explaining
Questioning
Problem Solving
Collaborating
Hands-on Activities
Others
Assessment Methods and Criteria: 
Test / Exam
Quiz
Lab Assignment
Others

Student Workload:

Lectures
42
hrs
Lab Applications
28
hrs
Hands-on Work
30
hrs
Exams/Quizzes
75
hrs

Prepared By:

Mehmet Onur Fen

Revised By:

Gizem Güzeller