ÇAĞ UNIVERSITY
FACULTY OF ARTS AND SCIENCES
Learning Outcomes of the
Course
Code
Course Title
Credit
ECTS
MAT 141
8
Calculus and Analytic Geometry I
5 (4-2)
Prerequisites
None
Language of Instruction
Mode of Delivery
Face to face
English
Type and Level of Course
Compulsory/1.Year/Fall Semester EQF- Level 6
Lecturers
Name(s)
Contacts
Lecture Hours
Office Hours
Course Coordinator Asst.Prof.Dr.Ayfer Kurt
Tue. 9-12 &
Wed. 13-16
[email protected]
Thr. 9-12
Tu.13-16
Others
Course Objective
The aims of the course are to familiarize the students with functions represented in a variety
of ways: graphical, numerical, analytical. They should understand the connections among
these representations. Additionally, the students should understand the meaning of the
derivative and should be able to use derivative to solve a variety of problems.
Relationship
Students who have completed the course successfully should
be able to
Net Effect
Prog. Output
5, 3
1
identify real valued functions and their properties
1, 5
3, 4, 3
2
compute inverse of a function, limits of functions and their
1, 3, 5
applications
4, 3
3
prove theorems introduced in the course
3, 12
5, 4
4
apply the theorems introduced in the course to solve problems
3, 1
3, 5, 5
5
compute the derivative of Real Valued Functions(RVF)
1,3, 5
3, 5
6
analyze and construct the graph of RVF
1, 6
3, 5, 3
7
demonstrate an understanding of basic concepts of analytic
1, 6, 3
geometry in the plane and space
4, 4
8
demonstrate an understanding of later courses in advanced
1, 3
calculus and linear algebra.
Course Description: The course concentrates on (1) Functions, (2)Limit and Derivative of a Function of a Single
Variable, (3) A Thorough Discussion of the Basic Theorems of Differential Calculus: Intermediate Value, Extreme
Value, and the Mean Value Theorems, (4) Applications: Graph Sketching and Problems of
Extrema.(5)Integration,Definite integral,Area between Curves.
Course Contents:( Weekly Lecture Plan )
Weeks
Topics
Preparation
Teaching Methods
1
Introduction to domain, range and various
Textbook Ch.1
Lectures and presentations
representations of functions.
2
The Limit Concept: ε–δ definition,
Textbook Ch.2
Lectures and presentations
Properties
3
One-sided limits, limits at infinity
Textbook Ch.2
Lectures
4
Continuity, Properties of continuous
Textbook Ch.2
Lectures & illustrations
Functions
5
The Derivative Concept: Definition of the
Textbook Ch. 3
Lectures
Derivative. Properties of the Derivative
6
Implicit Differentiation. Rolle's and the
Textbook Ch.3
Lectures
Mean Value Theorems. Monotonicity
Theorem.
7
The First and Second Derivative Tests
Textbook Ch.3
Lectures
8
Midterm exam
9
Inverse trigonometric functions, L'Hospital's
Textbook Ch.4
Lectures
Theorem.
10
Problems of Maxima and Minima
Textbook Ch.4
Problem solutions
11
Asymptotes and Graph Sketching
Textbook Ch. 4
Lectures
12
Antiderivatives,aproximating areas under
Textbook Ch.5
Lectures
curves and definite integrals.
13
Substitution rule
Textbook Ch.5
Lectures
14
Regions between curves
Textbook Ch.6
Lectures
REFERENCES
Textbook
Calculus Early Transendentals- William L.Briggs,Lyle Cochran
Recommended Reading
G.B. Thomas, F.R.Giordano, J.Hass, Calculus and Analytic Geometry, Addison Wesley
Publishing, 2004.
ASSESSMENT METHODS
Activities
Midterm Exam
Quizzes
Homework
Effect of The Activities
Effect of The Final Exam
Contents
Hours in Classroom
Hours out Classroom
Homeworks
Quizzes
Midterm Exam
Final Exam
Number
1
Effect
40%
Notes
40%
60%
ECTS TABLE
Number
14
14
1
1
Hours
6
8
Total
84
112
20
30
20
30
246
=246/30=8,2
8
Total
Total / 30
ECTS Credit
RECENT PERFORMANCE