COURSE UNIT TITLE

: CALCULUS II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1204 CALCULUS II COMPULSORY 4 0 0 6

Offered By

Chemistry

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ÇETIN DIŞIBÜYÜK

Offered to

Chemistry

Course Objective

The aim of this course is to learn Integral for real valued functions of a real variable, and sequences and series of real numbers for Taylor series of functions. We shall use integral to find the area of a region bounded by curves, to find the length of curves, to find the volumes of solids bounded by surfaces, etc.

Learning Outcomes of the Course Unit

1   Will be able to estimate the definite integral using Riemann sums.
2   Will be able to apply the Fundamental Theorem of Calculus to evaluate definite integrals using integration techniques.
3   Will be able to evaluate areas, volumes and arc lengths by definite integrals.
4   Will be able to understand the convergence of sequences and series of real numbers and the tests for convergence of series.
5   Will be able to estimate a function by its Taylor polynomials when its Taylor series converges to the function.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Area under curves, Riemann sums, definite integral, antiderivatives and indefinite integral, the Fundamental Theorem of Calculus
2 Techniques of integration: substitution, integration by parts, trigonometric integrals
3 Trigonometric substitutions, integration of rational functions
4 Improper integrals
5 Area between curves
6 Volumes using cross-sections and cylindrical shells, arc length of curves
7 Physical applications of integration: Work, moments and center of mass
8 Midterm
9 Sequences of real numbers, convergent sequences.
10 Limit theorems for sequences, commonly occurring limits, divergent sequences, divergence to infinity
11 Series of real numbers, convergent series, geometric series, divergent series
12 Basic tests for convergence of series: integral test, comparison tests, ratio and root tests
13 Alternating series, absolute and conditional convergence
14 Power series, Taylor and Maclaurin Series, convergence of

Recomended or Required Reading

Textbook(s):
Stewart, J., Calculus: Concepts and Contexts, 2nd edition, Brooks/Cole

Supplementary Book(s):
Hass , J., Weir, M. D. and Thomas , G. B., Jr., University Calculus, Early Transcendentals ,International Edition, 2nd edition, Pearson, 2012.Spivak, M.

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 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

Attendance to at least 80% 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)

e-mail: cetin.disibuyuk@deu.edu.tr
Office: (232) 301 85 87

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 15 15
Preparation for final exam 1 20 20
Preparation for quiz etc. 4 4,5 20
Midterm 1 2 2
Final 1 2 2
Quiz etc. 4 0,5 4
TOTAL WORKLOAD (hours) 154

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17
LO.144
LO.244
LO.344
LO.444
LO.544

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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