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Course Details
| Course Department: | Department of Mathematics and Statistics |
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| Course Code: | MAS 001 |
| Course Title: | Mathematics I |
| Number of ECTS: | 6 |
| Level of Course: | 1st Cycle (Bachelor's Degree) |
| Year of Study (if applicable): | 1 |
| Semester/Trimester when the Course Unit is Delivered: | Fall Semester
Spring Semester |
| Name of Lecturer(s): | Evangelides Pavlos |
| Lectures/Week: | 2 (1.5 hours per lecture) |
| Laboratories/week: | -- |
| Tutorials/Week: | 1 (1 hours per lecture) |
| Course Purpose and Objectives: | To understand calculus and to use basic methods to solve real problems |
| Learning Outcomes: |
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| Prerequisites: | Not Applicable |
| Co-requisites: | Not Applicable |
| Course Content: |
Introduction Real numbers – Inequalities – Absolute value – Equation of a straight line, circle and parabola Functions Kinds of functions – Graph of a function – Inverse function – inverse trigonometric functions – Exponential and Logarithmic functions Limit and Continuity Limit of a function – Continuity of a function - Intermediate-Value Theorem – Limits and Continuity trigonometric, Exponential and Logarithmic functions The Derivative The derivative function – techniques of differentiation – Implicit differentiation- differentiation of inverse function – parametric equations Applications of the Derivative Increasing and decreasing functions – Relative extrema – Absolute extrema - Graphing of a function – Newton’s method – Rolle’s theorem – Mean value theorem Integration The indefinite integral – the definite integral – the fundamental theorem of calculus – Average value of a function Principles of integral evaluation Integration by parts – integration by substitution – integration of rational functions by partial fractions
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| Teaching Methodology: | Lectures |
| Bibliography: |
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| Assessment: | Mid-term exams and Final exam |
| Language of Instruction: | Greek |
| Delivery Mode: | Face-To-Face |
| Work Placement(s): | Not Applicable |