Course Name : MathematicsII

Degree: Bachelor

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

MATH122

1/2 (spring)

4

6

3

2



Department

Naval Architecture and Marine Engineering

Instructors

Instr. Serap Herdem

Contact Information

Piri Reis University, Faculty of Engineering TuzlaIstanbul
Phone: +90 216 5810050
Ext:1628
Email: skaya@pirireis.edu.tr

Office Hours


Web page

http://www.pirireis.edu.tr

Course Type

Compulsory

Course Language

English

Course Prerequisites

MATH 112

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

100




Course Description

Improper integrals, Infinite sequences and series, Vectors in Space, VectorValued Functions, Functions of Several Variables and Partial Derivatives , Multiple Integrals.

Course Objectives

1.To provide the concepts and applications of the convergence of improper integrals, sequences and infinite series
2.To provide the knowledge of applications of partial differentiation and multiple integrals
3.To give an ability to apply knowledge of mathematics on engineering problems

Course Learning Outcomes

Upon successful completion of the course, students should be able to
 recognize improper integrals and test if they converge
 use various convergence tests (geometric series test, nth term test, integral test, comparison tests, alternating series tests, ratio test, and root test) to determine convergence or divergence of series
 represent some functions as power series; apply the ratio and root tests to find the radius of convergence for a power series.
 write the equations of lines and planes using appropriate information
 have the knowledge about limits and continuity of functions of several variables , partial differentiation, total differential, maxima and minima (with/without constraints) , the Hessian test for local extrema, the method of Lagrange multipliers
 evaluate double and triple iterated integrals, express areas and volumes as double and triple integrals

Instructional Methods and Techniques

Lecture, problem solving

Tutorial Place


Coterm Condition


Textbook

Thomas’ Calculus, 12th Edition, Pearson, Global Edition, George B. Thomas, Jr , Maurice D. Weir, Joel Hass, 2010.

Other References

 Calculus: A Complete Course, 7th Edition, Robert A. Adams and Christopher Essex, Pearson, Canada, 2010.
 Calculus: A New Horizon, Howard Anton, 6th Edition; John Wiley & Sons, 1999.
 Calculus: Concepts and Contexts, James Stewart, 4th Edition, Brooks/Cole Pub., 2008.

Homework & Projects


Laboratory Work


Computer Use


Other Activities











