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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 1001 CALCULUS I COMPULSORY 4 0 0 5

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR MELTEM ALTUNKAYNAK

Offered to

Chemistry (Evening) Statistics Statistics(Evening)

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 AbsoluteValues, Piecewise Defined Functions, Symmetry 2 Elementary Functions and Their InversesTrigonometric Functions, Inverse Trigonometric Functions, Exponential Functions, Logarithmic Functions 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 Midterm, 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

Stewart, J., Calculus, Concepts and Contexts, 2nd edition, Brooks/Coole, 2001

Planned Learning Activities and Teaching Methods

Lecture Notes, Presentations and 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 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

meltem.topcuoglu@deu.edu.tr Ofis: (232) 301 86 07

Office Hours

To Be Announced Later

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 13 2 26 Preparation for midterm exam 1 20 20 Preparation for final exam 1 25 25 Midterm 1 2 2 Final 1 2 2 Quiz etc. 0 0 0 TOTAL WORKLOAD (hours) 127

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 LO.1 5 4 4 4 4 4 LO.2 5 4 4 4 4 4 LO.3 5 4 4 4 4 4 LO.4 5 4 4 4 4 4 LO.5 5 4 4 4 4 4