COURSE UNIT TITLE

: ADVANCED CALCULUS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ECO 1005 ADVANCED CALCULUS COMPULSORY 4 0 0 5

Offered By

Economics (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR ÖMÜR SALTIK

Offered to

Economics (English)

Course Objective

To provide students with advanced calculus tools and techniques including multivariable calculus, constrained optimization, and differential equations essential for analyzing complex economic models and solving real-world economic problems.

Learning Outcomes of the Course Unit

1   1. Apply multivariable calculus techniques to analyze economic functions involving several variables.
2   2. Solve unconstrained and constrained optimization problems relevant to consumer and producer theory.
3   3. Interpret and solve first-order and second-order differential equations in economic contexts.
4   4. Use mathematical tools to construct and analyze dynamic economic models

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Multivariable functions
2 Limits and Continuity in Multivariable Functions
3 Partial Derivatives and Economic Applications
4 Gradient and Directional Derivatives
5 Unconstrained Optimization
6 Constrained Optimization & Lagrange Multipliers
7 Comparative Statics and Envelope Theorem
8 Implicit Function Theorem and Applications
9 Multivariable Taylor Series and Approximations
10 Multiple Integration and Economic Applications
11 Ordinary Differential Equations (First-Order)
12 Second-Order Differential Equations in Economics
13 Stability Analysis in Dynamic Models
14 Review & Advanced Economic Model Applications

Recomended or Required Reading

TBA

Planned Learning Activities and Teaching Methods

Lecture
In-class studies

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1
2
3
4
5
6
7


Further Notes About Assessment Methods

1. Exams will evaluate the ability to solve different type of business and economical
problems.
2. Students will improve their ability to recognize the relationships between mathematical concepts and business environment through class discussions during lectures.
3. Students will test their knowledge via the chapter exercises.

Assessment Criteria

1. Exams will evaluate the ability to solve different type of business and economical
problems.
2. Students will improve their ability to recognize the relationships between mathematical concepts and business environment through class discussions during lectures.
3. Students will test their knowledge via the chapter exercises.

Language of Instruction

English

Course Policies and Rules

1. Attending at least 70 percent of lectures is mandatory.
2. Plagiarism of any type will result in disciplinary action.
3. Participation in class discussions is required.
4. The questions at the end of each chapter of the book are suggested in order to make a preparation for the next class and review the previous chapters.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Problem Based Learning (PBL) session 14 1 14
Preparations before/after weekly lectures 12 3 36
Preparation for final exam 1 14 14
Preparation for midterm exam 1 10 10
Project Preparation 1 12 12
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 118

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.1344
LO.2344
LO.3344
LO.4344

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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