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 1002 CALCULUS II COMPULSORY 4 0 0 5

Offered By

Faculty of Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

Offered to

Aerospace Engineering
Electrical and Electronics Engineering
Computer Engineering

Course Objective

The sequence Math 1001-1002 is the standard complete introduction to the concepts and methods of calculus. It is taken by all engineering students. The emphasis is on concepts, solving problems, theory and proofs. Students will develop their reading, writing and questioning skills in Mathematics.

Learning Outcomes of the Course Unit

1   Define the sequence of partial sum for an infinite series and relate the convergence of this sequence to the convergence of the series. Then find or estimate the sum.
2   Find the interval and radius of convergence for a given power series.
3   Understand and identify vectors in the plane and in the three dimensional space.
4   Find the total differential of a function of several variables and use it to approximate incremental change in the function.
5   Do simple manipulations involving gradient, divergence, and curl, and understand their geometrical/physical meaning.
6   Analyze and solve constrained and unconstrained optimization problems.
7   Evaluate multiple integrals either by using iterated integrals.
8   Understand vector fields, line integrals, and Green s theorem. Conservative Vector fields, and independence path. Surface integrals, divergence theorem and Stokes s theorem.
9   Understand vector fields, line integrals, and Green s theorem. Conservative Vector fields, and independence path. Surface integrals, divergence theorem and Stokes s theorem.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Infinite series; Convergence tests for positive series; Power series, Taylor and Maclaurin series
2 Quadratic forms(Conic Sections)
3 Vectors and coordinate geometry in three dimensional space Analytic geometry in three dimensions, Plane, lines, and quadratic surfaces
4 Functions of several variables; Limits and continuitylı
5 Partial derivatives; Higher-order derivatives, The chain rule
6 1. Midterm
7 Linear approximation; Gradients and directional derivatives, Implicit functions
8 Applications of partial derivatives; Extreme values; Extreme values of functions defined on restricted domains
9 Lagrange multipliers; Multiple integration; Double integrals, iteration of double integrals in Cartesian- Coordinates
10 Surface area using by double integrals; Double integrals in Polar Coordinates
11 Vector and scalar fields; Line integrals
12 Conservative fields
13 Surface integrals; Green s theorem, divergence theorem, and Stokes s theorem.
14 Applications

Recomended or Required Reading

Thomas Calculus (12th Edition), George B. Thomas, Maurice D. Weir,
Joel Hass, 2010.
Supplementary Book(s): Calculus, Robert A. Adams & Christopher Essex, 2008.

Planned Learning Activities and Teaching Methods

Teaching should combine basic education and training with the development of creative thinking and application.

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

Percentage of mid-term exam is 50% to the course grade. L1-2-3-4-5-6 will be examined Percentage of final exam is 50% to the course grade. All learning targets (L1-2-3-4-5-6-7-8-9) will be examined.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Asst.Prof.Dr. Mustafa ÖZEL

Office Hours

Mondayi 9.00 - 11.00

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 13 13
Preparation for final exam 1 25 25
Final 1 5 5
Midterm 1 2 2
TOTAL WORKLOAD (hours) 129

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.154131
LO.254131
LO.354131
LO.454131
LO.554131
LO.654131
LO.754131
LO.854131
LO.954131

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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