INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
2014-2015

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

 Instructor Assistant Coordinator Recep Zihni, Senior Teaching Assistant Recep ZIHNI Recep Zihni, Senior Teaching Assistant [email protected] [email protected] no email

 MTH 102 - Calculus II

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 know-how.

COURSE CONTENT
Week
Topic
1. Introduction. Dimensional Analysis.
2. Complex numbers.
3. Surfaces and coordinate systems, Parameterized curves in space
4. Polar Coordinates.
5. Vectors and space geometry
6. Vector Functions
7. Partial Derivatives
8. MIDTERM EXAM
9. Partial Derivatives
10. Multiple Integrals
11. Multiple Integrals
12. Multiple Integrals
13. Vector Calculus
14. Vector Calculus
15. Vector Calculus

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

 Double Integrals, Iterated Integrals, Applications of Double IntegralsTriple Integrals, Transformation of CoordinatesLine Integrals In R2, Line Integrals in R3Line Integrals In R2, Line Integrals in R3Green\'s Theorem, Stokes\' TheoremThe Divergence Theorem

TEACHING/ASSESSMENT
Description
• Lectures
• Practical Sessions
• Assignments
Description (%)
Method Quantity Percentage (%)
Quiz25
Midterm Exam(s)25
Final Exam150
Total: 100
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 non-specialist backgrounds;
• Work with minimum supervision, both individually and as a part of a team, demonstrating the interpersonal, organisation and problem-solving 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
Activities Quantity Duration (Hour) Total Work Load
Lecture (14 weeks x Lecture hours per week)14570
Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)14570
Midterm Examination (1 week)6848
Final Examination(1 week)188
Preparation for Midterm Examination 0
Preparation for Final Examination7 0
Assignment / Homework/ Project 0
Seminar / Presentation 0