CIVIL ENGINEERING
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MAT1051	Calculus I	Fall	3	2	4	7

Basic information

Language of instruction:	English
Type of course:	Must Course
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :	Assist. Prof. REFİA AKSOY
Course Lecturer(s):	Prof. Dr. SÜREYYA AKYÜZ Prof. Dr. ENGİN HALİLOĞLU Assist. Prof. DUYGU ÜÇÜNCÜ Assist. Prof. LAVDİE RADA ÜLGEN RA AYSUN SOYSAL Assist. Prof. MESUT NEGİN Assist. Prof. MÜRÜVVET ASLI AYDIN Assoc. Prof. HALE GONCE KÖÇKEN Prof. Dr. NAFİZ ARICA Assoc. Prof. DOĞAN AKCAN
Recommended Optional Program Components:	This is not defined for this course.
Course Objectives:	Gain proficiency in calculus to formulate and solve problems, and to communicate solutions to others. The course will provide students with a thorough understanding of functions and graphs, limits and the derivative, applications of derivatives, the area problem and the definite integral, and computation techniques of the definite or indefinite integrals.

Learning Outcomes

The students who have succeeded in this course;
1. Understand and use basic properties of elementary functions
2. Evaluate limits of functions graphically, numerically and algebraically
3. Determine whether a function is continuous and/or differentiable at a point using limits
4. Express the derivative of a function as a limit and write the equation of the tangent line at a given point
5. Apply the rules of differentiation to evaluate the derivative of a given function
6. Graph functions using limits and derivatives
7. Identify appropriate calculus concepts and techniques to determine solutions to optimization and related rates problems
8. Apply the definition of the definite integral as the limit of Riemann sums, and compute definite and indefinite integrals using standard integration techniques

Course Content

The teaching methods of the course are in the form of exposition and problem-solving. The topics covered in the course can be listed as follows: Functions, limits, continuity, differentiation, rules of differentiation, chain rule, implicit differentiation, derivatives of logarithmic, exponential and inverse trigonometric functions, related rates problems, maximum and minimum values, the mean value theorem, curve sketching, linearization and differentials, optimization problems, areas as limits of Riemann sums, the definite integral, antiderivatives, the fundamental theorem of Calculus, techniques of integration.

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Functions, New Functions From Old Ones, Exponential Functions
2)	Inverse Functions, Logarithmic Functions, Trigonometric Functions
3)	Limits, Infinite Limits
4)	Limits at Infinity, Continuity
5)	Introduction to the Derivative, the Product Rule and the Quotient Rule
6)	The Derivative of Trigonometric Functions, the Chain Rule and Implicit Differentiation
7)	The Derivative of Logarithmic, Exponential and Inverse Trigonometric Functions
8)	Related Rates Problem, Extreme Values
9)	The Mean Value Theorem and Curve Sketching
10)	Optimization Problems, Linear Approximation and Differentials
11)	Areas as Limits of Sums, the Definite Integral, Antiderivatives
12)	The Fundamental Theorem of Calculus, The Substitution Method
13)	Integration by Parts, Integration by Partial Fractions
14)	Inverse Substitution and Review

Sources

Course Notes / Textbooks:	Robert Adams, Christopher Essex, Calculus, Eighth Edition, Pearson
References:	James Stewart Calculus, 5th Ed. Brooks/Cole Publishing Company C.H. Edwards,Jr. David E. Penney, Calculus with Analytic Geometry Richard Silverman, Calculus with Analytic Geometry, Prentice Hall

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Quizzes	4	% 24
Midterms	1	% 36
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Application	14	2	28
Study Hours Out of Class	14	4	56
Quizzes	4	2	8
Midterms	1	17	17
Final	1	22	22
Total Workload			173

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and civil engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems.	5
2)	Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.	2
3)	Ability to design a complex system, process, structural and/or structural members to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose.
4)	Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in civil engineering applications; ability to use civil engineering technologies effectively.
5)	Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or civil engineering research topics.	3
6)	Ability to work effectively within and multi-disciplinary teams; individual study skills.
7)	Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing.
8)	Awareness of the necessity of lifelong learning; ability to access information to follow developments in civil engineering technology.
9)	To act in accordance with ethical principles, professional and ethical responsibility; having awareness of the importance of employee workplace health and safety.
10)	Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
11)	Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of civil engineering solutions.