• Basic information
• Learning outcomes
• Contents
• Assessment
• Workload

Learning outcomes

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

1. Obtain fundamental math contents, methods and techniques

   Contribution to Program Outcomes

   1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

   Method of assessment

   1. Written exam
2. Appreciate the relation between Engineering and Mathematics

   Contribution to Program Outcomes

   1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

   Method of assessment

   1. Written exam
3. Develop mathematical skills.

   Contribution to Program Outcomes

   1. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

   Method of assessment

   1. Written exam

Contents
Week 1:	Sequences and convergence of sequences
Week 2:	Infinite series, Convergence tests for Positive series
Week 3:	Absolute and Conditional Convergence, Power series
Week 4:	Taylor and Maclaurin Series and Applications
Week 5:	Analytic Geometry in Three Dimensions, Vectors
Week 6:	The Cross product in 3- space, Planes and Lines, Distances
Week 7:	Functions of several variables, Limits and Continuity, Midterm
Week 8:	Partial Derivatives, Higher Order Derivatives, The Chain Rule
Week 9:	Linear Approximations, Differentiability, and Differentials, Gradients and Directional Derivatives
Week 10:	Implicit Functions, Extreme Values
Week 11:	Extreme Values of Functions Defined on Restricted Domains, Lagrange Multipliers
Week 12:	Double Integrals, Iteration of Double Integrals in Cartesian Coordinates
Week 13:	Double Integrals in Polar Coordinates, Triple Integrals
Week 14:	Change of Variables in Triple Integrals
Week 15*:	-
Week 16*:	Final exam
Textbooks and materials:	Calculus, R. A. Adams and C. Essex, 7th Edition, Addison Wesley
Recommended readings:	Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010 Thomas Calculus G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano Pearson Education Inc., 2005 .The Fundamentals of Mathematical Analysis Matematik Analiz 3-4 Doç. Dr. Cevdet Cerit Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel Genel Matematik 2: Prof. Dr. Mustafa BALCI . Temel ve Genel Matematik –H. Hilmi Hacısalihoğlu-Mustafa Balcı-Fikri Gökdal
	* Between 15th and 16th weeks is there a free week for students to prepare for final exam.

Assessment
Method of assessment	Week number	Weight (%)
Mid-terms:	7	40
Other in-term studies:		0
Project:		0
Homework:		0
Quiz:		0
Final exam:	16	60
	Total weight:	(%)

Workload
Activity	Duration (Hours per week)	Total number of weeks	Total hours in term
Courses (Face-to-face teaching):	4	14
Own studies outside class:	3	14
Practice, Recitation:	2	14
Homework:	0	0
Term project:	0	0
Term project presentation:	0	0
Quiz:	0	0
Own study for mid-term exam:	8	2
Mid-term:	2	1
Personal studies for final exam:	8	3
Final exam:	2	1
		Total workload:
		Total ECTS credits:	*
	* ECTS credit is calculated by dividing total workload by 25. (1 ECTS = 25 work hours)