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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

ASSISTANT PROFESSOR SEÇIL GERGÜN

Offered to

Chemistry (Evening) Statistics Statistics(Evening)

Course Objective

Learning Outcomes of the Course Unit

1   Will be able to graph the elementary functions and their inverses using their properties. 2   Will be able to express the continuity and limit concepts. 3   Will be able to find the derivative of the functions using the differentiation rules. 4   Will be able to draw the graph of a function using the sign of its first and second derivative. 5   Will be able to find the integral of the functions using the integration rules and techniques. 6   Will be able to evaluate areas and volumes by definite integrals. 7   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 Polynomials, Power Functions, Rational Functions, Algebraic Functions; Combinations of Functions; Composition of Functions, Inverse Functions, The Trigonometric 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, Tangents, Velocities and Other Rates of Change, Derivatives, Interpretation of the Derivative as the Slope of a Tangent, The Derivative as a Function 5 Differentiation Rules; Derivatives of Elementary Functions (Derivatives of Polynomials, Power Functions, Exponential Functions and Trigonometric Functions), New Derivatives from Old, The Product and Quotient Rules, The Second Derivative, 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 8 Increasing and Decreasing Functions, Concavity, Vertical and Horizontal Asymptotes, Sketching Graphs 9 Indeterminate Forms and L Hospital s Rule, Indeterminate Products, Indeterminate Differences, Indeterminate Powers 10 Optimization Problems; Integral, The Area Problem, The Definite Integral, Properties of the Definite Integral, Antiderivatives 11 Indefinite Integrals, The Fundamental Theorem of Calculus, Differentiation and Integration as Inverse Processes, The Substitution Rule 12 Definite Integrals of Symmetric Functions, Integration by Parts, Additional Techniques of Integration, Trigonometric Integrals 13 Trigonometric Substitution, Integration of Rational Functions by Partial Fractions 14 Applications of Integration: Areas between Curves, Volumes

Recomended or Required Reading

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

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 QUZ QUIZ 3 FIN FINAL EXAM 4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.30 + FIN * 0.40 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.30 + RST * 0.40 *** 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)

secil.gergun@deu.edu.tr

Office Hours

To Be Announced Later

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 4 56 Preparations before/after weekly lectures 14 2 28 Preparation for midterm exam 1 15 15 Preparation for final exam 1 20 20 Midterm 1 2 2 Final 1 2 2 Quiz etc. 4 1 4 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 LO.6 5 4 4 4 4 4 LO.7 5 4 4 4 4 4