Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MCB1010 -	1	Accelerated Calculus I	4/2/0	CC	English	7

Course Goals	The aim of this course is to provide students with an understanding of limits, derivatives and indefinite integrals of functions of one variable and their calculations.
Prerequisite(s)	None
Corequisite(s)	None
Special Requisite(s)	None
Instructor(s)	Professor Emel Yavuz
Course Assistant(s)
Schedule	Tuesday 11:00-12:50; Thursday 09:00-10:50; Friday 09:00-10:50
Office Hour(s)	Monday 13:00-16:00, 3A-01
Teaching Methods and Techniques	Lectures and recitations
Principle Sources	Robert A. Adams and Christopher Essex, Calculus: A Complete Course, Pearson, 2021.
Other Sources	Hass J., Heil C., Weir M., Thomas' Calculus, 14th Edition. Pearson, 2017

Course Schedules
Week	Contents	Learning Methods
1. Week	Cartesian Coordinates in the Plane Graphs of Quadratic Equations	Lecture, problem solving
2. Week	Functions and Their Graphs Combining Functions to Make New Functions	Lecture, problem solving
3. Week	Polynomials and Rational Functions The Trigonometric Functions	Lecture, problem solving
4. Week	Limits of Functions Limits of Infinity and Infinite Limits	Lecture, problem solving
5. Week	Continuity Tangent Lines and Their Slopes	Lecture, problem solving
6. Week	The Derivative Differentiation Rules	Lecture, problem solving
7. Week	The Chain Rule Derivatives of Trigonometric Functions	Lecture, problem solving
8. Week	Higher-Order Derivatives The Mean-Value Theorem	Lecture, problem solving
9. Week	Implicit Differentiation Antiderivatives and the Indefinite Integral	Lecture, problem solving
10. Week	Inverse Functions Exponential and Logarithmic Functions	Lecture, problem solving
11. Week	The Natural Logarithm and Exponential The Inverse Trigonometric Functions	Lecture, problem solving
12. Week	Hyperbolic Functions Indeterminate Forms	Lecture, problem solving
13. Week	Extreme Values Concavity and Inflections	Lecture, problem solving
14. Week	Sketching the Graph of a Function	Lecture, problem solving
15. Week
16. Week
17. Week

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	40
Quizzes	10	20
Final Exam	1	40

Program Outcomes PO-1 Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. PO-2 Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. PO-3 Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.) PO-4 Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. PO-5 Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems. PO-6 Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. PO-7 Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language. PO-8 Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. PO-9 Awareness of professional and ethical responsibility. PO-10 Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. PO-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 engineering solutions.

Learning Outcomes LO-1 Discuss and explain the real numbers and the real line, Cartesian coordinates in the plane, graphs of quadratic equations LO-2 Identify functions and their graphs to combine functions to make new functions, polynomials and rational functions LO-3 Describe the trigonometric functions, inverse functions, the inverse trigonometric functions LO-4 Explain exponential and logarithmic functions, the natural logarithm and exponential LO-5 Identify limits of functions, limits at infinity and infinite limits LO-6 Express the role continuity LO-7 Use tangent lines and their slopes, the derivative and the differentiation rules LO-8 Explain the importance of the Chain Rule; identify the derivatives of trigonometric functions, inverse functions, exponential and logarithmic functions, the Inverse Trigonometric Functions; use the higher-order derivatives LO-9 Analyse the Mean Value Theorem and use implicit differentiation LO-10 Identify the indeterminate forms and resolve them using l'Hopital's Rule LO-11 Identify extreme values and solve the extreme-value problems LO-12 Identify concavity and inflections LO-13 Explain and discuss sketching the graph of a function

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11