COURSE UNIT TITLE

: CALCULUS I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1025 CALCULUS I COMPULSORY 3 2 0 7

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR CAN CENGIZ ÇELIKOĞLU

Offered to

Statistics
Statistics(Evening)

Course Objective

The aim of this course is to learn the basic concepts of calculus for real valued functions of a real variable: Limit, Continuity and Derivative. We shall use these to find the slope of a curve at a point, to graph functions, to find the maximum and minimum values of a function, etc.

Learning Outcomes of the Course Unit

1   Will be able to graph the basic transcendental functions and their inverses using their properties
2   Will be able to express the continuity and limit concepts theoretically and graphically
3   Will be able to use calculus in applied problems by interpreting the derivative concept geometrically and physically
4   Will be able to find the derivative of the functions using the differentiation rules
5   Will be able to draw the graph of a function using the sign of its first and second derivative by finding the local maximum and local minimum values, absolute maximum and absolute minimum values and inflection points if any

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Real number and functions; trigonometric functions, exponential functions, inverse functions, logarithm function, inverse trigonometric functions, hyperbolic and inverse hyperbolic functions
2 Limit of a function
3 Limit laws
4 Continuity
5 Limits involving infinity, asymptotes
6 Tangent line, rate of change, derivative
7 Linearization and differentials, differentiation rules
8 Midterm
9 Chain rule, implicit differentiation
10 Derivative of inverse functions, Mean Value Theorem
11 Finding limits of indeterminate forms using L Hôpital s Rule
12 First Derivative Test, concavity, curve sketching, graphing functions using the sign of its first and second derivative
13 Extreme values of functions, maximum/minimum problems
14 Application problems: optimization and related rates problems

Recomended or Required Reading

Textbook(s):
Stewart, J., Calculus: Concepts and Contexts, 2nd edition, Brooks/Cole.
Supplementary Book(s):
1. Hass , J., Weir, M. D. and Thomas , G. B., Jr., University Calculus, Early Transcendentals ,International Edition, 2nd edition, Pearson, 2012.Spivak, M.

Planned Learning Activities and Teaching Methods

Lecture Notes, Presentation, Problem Solving.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Evaluation of exams

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the undergraduate policy at http://web.deu.edu.tr/fen

Contact Details for the Lecturer(s)

DEU Fen Fakültesi Matematik Bölümü
e-posta: cetin.disibuyuk@deu.edu.tr
Tel: 0232 301 85 87

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Tutorials 13 2 26
Preparations before/after weekly lectures 12 4 48
Preparation for midterm exam 1 20 20
Preparation for final exam 1 30 30
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 167

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.133
LO.2342
LO.3243
LO.44
LO.5443

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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