Bayburt University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
G111B2	Mathematics I	Compulsory	1	1	5

Level of Course Unit

First Cycle

Objectives of the Course

Mathematics is of essential importance for food engineering students not only to provide the tools for the other courses but also to give the ability of systematic and analytic approach to the problems. During the course, the students learn fundamental mathematical concepts and methods. The methods are applied to carefully select technical problems in the food engineering area. The students are aimed to gain a powerful tool as well as a permanent analytic character to the problem solution.

Name of Lecturer(s)

Dr. Öğr .Üyesi Ramazan ŞİMŞEK

Learning Outcomes

1	Vector algebra: Vectors, Arithmetic Operations on Vectors, Scalar and Vector Products solutions
2	Solving Line and Plane Equations in Vector Form
3	Give the ability of Matrix algebraic operations and Matrices, Arithmetic Operations on Matrices and Determinants
4	Give the ability to solve Derivatives: Rate of Change Concept. Differentiation Methods, Implicit and Logarithmic Differentiation
5	Using tools for Application to Optimization
6	Give the ability to take Integration: Limiting Sums. Methods of Integration and understanding application of integral

Mode of Delivery

Normal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Vector algebra: Vectors, Arithmetic Operations on Vectors	Problem Solving
2	Scalar and Vector Products. Line and Plane Equations in Vector Form	Problem Solving
3	Matrix algebra: Matrices, Arithmetic Operations on Matrices	Problem Solving
4	Determinants. Solutions of a Set of Linear Equations. Rank. Eigenvalue of a Matrix. Proble	Problem Solving
5	Derivatives: Rate of Change Concept. Differentiation Methods	Problem Solving
6	Implicit and Logarithmic Differentiation. Mean Value Theorem	Problem Solving
7	Higher Derivatives, Concavity.	Problem Solving
8	Midterm Exam	Problem Solving
9	Curvature of Plane Curves. Application to Optimization.	Problem Solving
10	Curvature of Plane Curves. Application to Optimization.	Problem Solving
11	Integration: Limiting Sums. Methods of Integration	Problem Solving
12	Integration: Limiting Sums. Methods of Integration	Problem Solving
13	Application of integral	Problem Solving
14	Beta and Gamma Functions, Laplace Transforms.	Problem Solving
15	Improper Integrals	Problem Solving

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Tutorial	14	1	14
Individual Study for Homework Problems	14	2	28
Individual Study for Mid term Examination	7	4	28
Individual Study for Final Examination	7	4	28
Homework	1	6	6
TOTAL WORKLOAD (hours)			150

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6
LO1	3	2	3	1	2	4
LO2	1	3	2	3	2	2
LO3	3	2	3	2	1	3
LO4	1	3	2	3	1	2
LO5	3	2	3	1	3	3
LO6	1	3	2	3	3	2

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High