Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
1MATH145CALCULUS FOR ENGINEERING AND SCIENCE I4+257

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program PHYSICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course With both the theoretical and practical knowledge gained through this course a student is expected to have the necessary qualifications and background to be able to solve the mathematical problems encountered in real life situations
Course Content Functions, Limits and continuity, Differentiation, Applications of Derivatives; Extreme values of functions, the mean value teorem, monotonic functions and the 1st derivative test, concavity and curve sketching, optimization problems, indeterminate forms and L’Hopital’s rule, antiderivatives, Integration; estimating with finite sums, the definite integral, the fundamental theorem of calculus, the substitution rule, Applications of Definite Integrals, Transcendental functions, Techniques of Integration, Conic sections and polar coordinates.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. Oğuz Yılmaz
Associate Prof.Dr. Berkant Ustaoğlu
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass.
Calculus , Edwards&Penney , Calculus with Analytic Geometry , Richard A . Silverman

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 2 % 40
Quizzes 5 % 20
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 40
Total
8
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 48 48
Application (Homework, Reading, Self Study etc.) 1 24 24
Exams and Exam Preparations 1 84 84
Total Work Load   Number of ECTS Credits 5 156

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 The ability to understand conceptual and visual representation of limits, continuity, differentiability,
2 The ability to determine the tangent line to a function at a point.
3 The ability to differentiate a function using power, product, quotient, chain rule and to use derivatives in practical applications, such as distance, velocity, acceleration and related rates.
4 The ability to use first and second derivative tests to optimize functions.
5 The ability to find critical numbers, inflection points, extreme points, and the shape of the graph.
6 The ability to evaluate the anti differentiates of some basic functions.
7 The ability to use Riemann Sums to estimate areas under the curve.
8 The ability to apply Fundamental Theorem of Calculus to evaluate definite integrals.
9 The ability to apply the integration techniques for evaluation different type of integrals.
10 The ability to calculate the area, volume and arc length by definite integral.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Preliminaries Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 1
2 Functions Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 1
3 Limits and Continuity Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 2
4 Differentiation Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 3
5 Differentiation Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 3
6 Mid-term exam
7 Applications of Derivatives Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 4
8 Integration Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 5
9 Mid-term exam
10 Integration Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 5
11 Applications of Definite Integral Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 6
12 Transcendental functions Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 7
13 Techniques of Integration Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 7
14 Conic sections and polar coordinates. Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass. Chapter 10
15 Final 1st week
16 Final 2nd week


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10
C1 4
C2 4
C3 4
C4 4
C5 4 4
C6 4 4
C7 4
C8 4
C9 4
C10

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


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