 Εκτύπωση
 Κλείσιμο
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Course Details
| Course Department: | Department of Mathematics and Statistics |
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| Course Code: | MAS 013 |
| Course Title: | Calculus for Computer Scientists II |
| Number of ECTS: | 5 |
| Level of Course: | 1st Cycle (Bachelor's Degree) |
| Year of Study (if applicable): | 1 |
| Semester/Trimester when the Course Unit is Delivered: | Spring Semester |
| Name of Lecturer(s): | Alecos Vidras Onti Christos - Raent |
| Lectures/Week: | 2 (1.5 hours per lecture) |
| Laboratories/week: | 1 (-- hours per lecture) |
| Tutorials/Week: | 1 (1 hours per lecture) |
| Course Purpose and Objectives: | Introduction to improper integrals of one variable, sequences, series and power series, as well as to basic notions of multivariable calculus and complex numbers. The course is designed for Computer Science students with applications in their field. |
| Learning Outcomes: | The students are expected to be able to prove the convergence or divergence of improper integrals, sequences and series. They will learn how to express certain functions as power series and use them to compute the sums of series, but also to solve differential equations. The will also learn how to take limits of and differentiate functions of many variables, and apply these notions in order to solve certain geometric and physical problems. They will also learn the basic algebraic properties of complex numbers and use them to solve simple geometric problems. |
| Prerequisites: | Not Applicable |
| Co-requisites: | Not Applicable |
| Course Content: | Review of integration techniques. Improper integrals. Sequences -Monotone sequences. Infinite series - Convergence criteria – Alternating series -Absolute and relative convergence. Maclaurin and Taylor polynomials and series – Convergence of Taylor series – Differentiation and integration of power series. First-order differential equations – Second-order linear differential equations – Special types of differential equations. Multivariate functions, Definition – Limits and continuity – Partial derivatives – Maxima/Minima of functions in two variables. Complex numbers, Definition – Operations with complex numbers – Exponential formula for complex numbers – Applications. Relationship between hyperbolic and Trigonometric functions.. |
| Teaching Methodology: | Lectures and recitation |
| Bibliography: |
Απειροστικός λογισμός, B. Thomas, Jr. & R. L. Finney; Πανεπιστημιακές Εκδόσεις Κρήτης, 2011. |
| Assessment: | One midterm exam and a final exam. |
| Language of Instruction: | Greek |
| Delivery Mode: | Face-To-Face |
| Work Placement(s): | Not Applicable |