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 1009 CALCULUS I COMPULSORY 4 0 0 6

Offered By

Computer Science

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR DIDEM COŞKAN ÖZALP

Offered to

Computer Science

Course Objective

The aim of this course is to teach the basic concepts of calculus for real valued functions of a real variable: Limit, Continuity, Derivative and Integral. 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, to find the area of a region bounded by curves, to find the volumes of solids bounded by surfaces, etc.

Learning Outcomes of the Course Unit

1   Will be able to describe the elementary functions and their inverses.
2   Will be able to express the continuity and limit of functions.
3   Will be able to find the derivative of the functions using the differentiation rules and graph the functions using their derivatives.
4   Will be able to find the integral of the functions using the integration rules and techniques.
5   Will be able to use concepts and techniques of differentiation and integration in applied problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Intervals, inequalities and absolute values; piecewise defined functions, symmetry
2 Elementary functions and their inverses
3 The limit of a function, one sided limits, calculating limit using the limit laws. Continuity
4 Limits involving infinity, asymptotes. Derivatives, interpretation of the derivative as the slope of a tangent
5 Differentiation rules, the Chain Rule, implicit differentiation
6 Derivatives of inverse trigonometric functions, derivatives of logarithmic functions,logarithmic differentiation
7 Applications of differentiation: Related rates, maximum and minimum values, derivatives and the shapes of curves, increasing and decreasing functions, concavity
8 Applications of Differentiation: Indeterminate forms and L'Hospital's Rule
9 Applications of Differentiation: Optimization problems
10 Integral, the area problem , the definite integral, properties of the definite integral, antiderivatives, indefinite integrals, the Fundamental Theorem of Calculus. Differentiation and integration as inverse processes
11 The substitution rule, definite integrals of symmetric functions
12 Integration by parts, trigonometric integrals
13 Trigonometric substitution, partial fractions, integration of rational functions by partial fractions
14 Applications of integration

Recomended or Required Reading

Textbook(s): Stewart , J., Calculus, Thomson, 2003
Supplementary Book(s): Hass , J., Weir, M. D. and Thomas , G. B., Jr., University Calculus, Early Transcendentals, International Edition, 2nd edition, Pearson, 2012.
Materials: Instructor's notes and presentations

Planned Learning Activities and Teaching Methods

Lecture Notes, Presentation, Problem Solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

e-mail : didem.coskan@deu.edu.tr
office: Faculty of Science, B351-3, phone:18606

Office Hours

Will be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 14 4 56
Preparation for midterm exam 1 8 8
Preparation for final exam 1 18 18
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 140

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.154353
LO.254353
LO.354353
LO.454353
LO.554353

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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