INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
20142015
SYLLABUS 
Code 
Name 
Level 
Year 
Semester 
MTH 102 
Calculus II 
Undergraduate 
1 
Spring 
Status 
Number of ECTS Credits 
Class Hours Per Week 
Total Hours Per Semester 
Language 
Compulsory 
6 
3 + 2 
196 
English 
COURSE OBJECTIVE 
Students should be prepared to use the mathematical apparatus of calculus in technical courses that follow in the curriculum. Course aims to provide both theoretical and practical knowledge for the students to use, combining mathematical rigour with engineering knowhow. 
COURSE CONTENT 
 Introduction. Dimensional Analysis.
 Complex numbers.
 Surfaces and coordinate systems, Parameterized curves in space
 Polar Coordinates.
 Vectors and space geometry
 Vector Functions
 Partial Derivatives
 MIDTERM EXAM
 Partial Derivatives
 Multiple Integrals
 Multiple Integrals
 Multiple Integrals
 Vector Calculus
 Vector Calculus
 Vector Calculus

LABORATORY/PRACTICE PLAN 
 Vectors; Dot Products, Cross Products
 Lines and Planes, Polar Coordinates
 Surfaces and Coordinate Systems, Parameterized Curves in Space
 Arc Length and Curvature, Velocity and Acceleration
 Functions of Several Variables, Limits, Continuity, Partial Derivatives
 Tangent Planes and Linear Approximation, Chain Rule
 Gradient, Directional Derivatives, 2nd Order Derivatives, Local Extrema
 MIDTERM EXAM
 Local Extrema, Lagrange Multipliers

 Double Integrals, Iterated Integrals, Applications of Double Integrals
 Triple Integrals, Transformation of Coordinates
 Line Integrals In R2, Line Integrals in R3
 Line Integrals In R2, Line Integrals in R3
 Green\'s Theorem, Stokes\' Theorem
 The Divergence Theorem

Description 
 Lectures
 Practical Sessions
 Assignments

Description (%) 
Quiz   25  Midterm Exam(s)   25  Final Exam  1  50 

Learning outcomes 
 Demonstrate a systematic and critical understanding of the theories, principles and practices of computing;
 Creatively apply contemporary theories, processes and tools in the development and evaluation of solutions to problems in machine learning;
 Actively participate in, reflect upon, and take responsibility for, personal learning and development, within a framework of lifelong learning and continued professional development;
 Present issues and solutions in appropriate form to communicate effectively with peers and clients from specialist and nonspecialist backgrounds;
 Work with minimum supervision, both individually and as a part of a team, demonstrating the interpersonal, organisation and problemsolving skills supported by related attitudes necessary to undertake employment.

TEXTBOOK(S) 
 1. Thomas\' Calculus Early Transcendentals  Twelfth Edition, George B. Thomas, Jr., Maurice D. Weir, Joel Hass and Frank R. Giordano
 2. Stewart, Calculus: Early Transcendentals, 7th edition, Thomson Brooks/Cole

ECTS (Allocated based on student) WORKLOAD 
Lecture (14 weeks x Lecture hours per week)  14  5  70  Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)  14  5  70  Midterm Examination (1 week)  6  8  48  Final Examination(1 week)  1  8  8  Preparation for Midterm Examination    0  Preparation for Final Examination  7   0  Assignment / Homework/ Project    0  Seminar / Presentation    0 

