{"id":17444,"date":"2025-09-03T12:00:00","date_gmt":"2025-09-03T10:00:00","guid":{"rendered":"https:\/\/newsite.finki.ukim.mk\/announcements\/podgotvitelna-nastava-2025\/"},"modified":"2025-09-03T12:00:00","modified_gmt":"2025-09-03T10:00:00","slug":"podgotvitelna-nastava-2025","status":"publish","type":"announcement","link":"https:\/\/finki.ukim.mk\/en\/announcements\/podgotvitelna-nastava-2025\/","title":{"rendered":"PREPARATORY CLASSES 2025"},"content":{"rendered":"<p><span><span>PREPARATORY CLASSES 2025\u00a0<\/span><\/span><\/p>\n<p><span><span>A. Basic Information<\/span><\/span><\/p>\n<p><strong>Note: The application deadline for the preparatory programming course has been extended to 1:00 PM on September 21, 2025.<\/strong><\/p>\n<p><span><span>The Faculty of Computer Science and Engineering, during the period <\/span><span>\u043e\u0434 15 \u0441\u0435\u043f\u0442\u0435\u043c\u0432\u0440\u0438 \u0434\u043e 26 \u0441\u0435\u043f\u0442\u0435\u043c\u0432\u0440\u0438 2025 <\/span><span>, will organise <\/span><span>preparatory classes<\/span><span> in <\/span><span>mathematics<\/span><span> and <\/span><span>programming<\/span><span>. The preparatory classes are organised to help new students follow the first-year mathematics and programming courses more easily across all study programmes.\u00a0<\/span><\/span><\/p>\n<p><span><span>The preparatory classes provide an excellent opportunity for students to identify the prior knowledge required to master first-semester courses and integrate more easily into the educational process, as well as to supplement and refresh their knowledge of mathematics and programming.<\/span><\/span><\/p>\n<p><span><span>The classes will be organised provided that a sufficient number of students register to form a group for each of the two courses.\u00a0<\/span><\/span><\/p>\n<p><span><span>It is planned that <\/span><span>4 to 7 hours of classes and practical sessions will be held each day<\/span><span>. Classes will begin at 9:00 at the FCSE campus (the detailed timetable will be announced after candidate registration has closed).\u00a0<\/span><\/span><\/p>\n<p><span><span>The mathematics and programming classes will be delivered in a hybrid format<\/span><span>, meaning that classes will be held on the Faculty premises and will also be available online via Microsoft Teams.<\/span><\/span><\/p>\n<p><span><span>For the course in <\/span><span>mathematics <\/span><span>, a total of <\/span><span>40 hours <\/span><span>is planned for the period <\/span><span>\u043e\u0434 15.9.2025 <\/span><span>to <\/span><span>20.9.2025 \u0433\u043e\u0434\u0438\u043d\u0430<\/span><span>, while the course in <\/span><span>programming <\/span><span>will comprise <\/span><span>20 hours<\/span><span>, during the period from <\/span><span>22.9.2025 \u0433\u043e\u0434\u0438\u043d\u0430 \u0434\u043e 26.9.2025 \u0433\u043e\u0434\u0438\u043d\u0430<\/span><span>. The fee for attending the course in <\/span><span>mathematics <\/span><span>is <\/span><span>MKD 5,000<\/span><span>. The fee for attending the course in <\/span><span>programming <\/span><span>\u0435 <\/span><span>MKD 3,000<\/span><span>.<\/span><\/span><\/p>\n<p>\u0421\u0442\u0443\u0434\u0435\u043d\u0442\u0438\u0442\u0435 \u043a\u043e\u0438 \u043f\u043b\u0430\u043d\u0438\u0440\u0430\u0430\u0442 \u0434\u0430 \u0441\u043b\u0435\u0434\u0430\u0442 \u043d\u0435\u043a\u043e\u0458 \u043e\u0434 \u043a\u0443\u0440\u0441\u0435\u0432\u0438\u0442\u0435 (\u0438\u043b\u0438 \u0434\u0432\u0430\u0442\u0430) \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043f\u0440\u0438\u0458\u0430\u0432\u0430\u0442 \u043d\u0430\u0458\u0434\u043e\u0446\u043d\u0430 \u0434\u043e \u0441\u0430\u0431\u043e\u0442\u0430, 13.09.2025<span><span> \u0434\u043e \u043a\u0440\u0430\u0458\u043e\u0442 \u043d\u0430 \u0434\u0435\u043d\u043e\u0442 \u043f\u0440\u0435\u043a\u0443 \u043f\u043e\u043f\u043e\u043b\u043d\u0443\u0432\u0430\u045a\u0435 \u043d\u0430 <\/span><a href=\"https:\/\/forms.office.com\/e\/ATjnV4Ucup\" rel=\"noopener noreferrer\" target=\"_blank\"><span>following form<\/span><\/a><span>.<\/span><\/span><\/p>\n<p><span><span>Further information about the preparatory classes is available at the following email address: <\/span><span>\u00a0<a href=\"mailto:podgotvitelna@finki.ukim.mk\" rel=\"noopener noreferrer\" target=\"_blank\">podgotvitelna@finki.ukim.mk<\/a><\/span><\/span><\/p>\n<p><span><span>All students who register for the classes by the stated deadline <\/span><\/span>\u045c\u0435 \u0431\u0438\u0434\u0430\u0442 \u0438\u0437\u0432\u0435\u0441\u0442\u0435\u043d\u0438 \u043d\u0430\u0458\u0434\u043e\u0446\u043d\u0430 \u0434\u043e \u0441\u0430\u0431\u043e\u0442\u0430, 13.09.2025 \u0433\u043e\u0434\u0438\u043d\u0430<span> by a message sent to the email address entered in their application, informing them whether the groups have been formed and whether the classes will commence. <\/span><\/p>\n<p><span><span>B. How to Apply<\/span><\/span><\/p>\n<p><span><span>In order to attend the preparatory course, you must submit a payment receipt for the appropriate amount.<\/span><\/span><\/p>\n<p><span><span>\u2013 3000 denars for preparatory programming instruction (if you are only taking programming)<\/span><\/span><\/p>\n<p><span><span>\u2013 5000 denars for preparatory math classes (if you are only taking math)<\/span><\/span><\/p>\n<p><span><span>\u2013 8000 denars for preparatory instruction in programming and mathematics (if you have selected both courses)<\/span><\/span><\/p>\n<p><span><span>The payment slip (available <\/span><a href=\"https:\/\/oldsite.finki.ukim.mk\/mk\/zafakultetot\/finansii\" rel=\"noopener noreferrer\" target=\"_blank\"><span>here<\/span><\/a><span>) should contain the following information:<\/span><\/span><\/p>\n<p><span><span>Inquiry purpose: preparatory course in programming\/mathematics\/programming and mathematics (depending on which course you will be taking)<\/span><\/span><\/p>\n<p><span><span>Recipient title: RM Budget \u2013 UKI\u041c \u2013 Faculty of Informatics and Computer Engineering, Skopje<\/span><\/span><\/p>\n<p><span><span>Recipient's bank: NBRM<\/span><\/span><\/p>\n<p><span><span>Recipient's account: <\/span><span>100000000063095<\/span><\/span><\/p>\n<p><span><span>account of a budget user: <\/span><span>1600161700<\/span><span> 788 13<\/span><\/span><\/p>\n<p><span><span>Income code and program: 723012 41<\/span><\/span><\/p>\n<p><span><span>Payment slip<\/span><span> (\u0441\u043b\u0438\u043a\u0430 \u0438\u043b\u0438 \u0434\u043e\u043a\u0443\u043c\u0435\u043d\u0442 \u0437\u0430 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u0441\u043a\u043e \u043f\u043b\u0430\u045c\u0430\u045a\u0435) \u043f\u043e\u0442\u0440\u0435\u0431\u043d\u043e \u0435 \u0434\u0430 \u0458\u0430 \u0438\u0441\u043f\u0440\u0430\u0442\u0438\u0442\u0435 \u043d\u0430 <\/span><span><a href=\"mailto:podgotvitelna@finki.ukim.mk\" rel=\"noopener noreferrer\" target=\"_blank\">podgotvitelna@finki.ukim.mk<\/a><\/span><span>\u043d\u0430\u0458\u0434\u043e\u0446\u043d\u0430 \u0434\u043e 16.9.2025 (\u0432\u0442\u043e\u0440\u043d\u0438\u043a) \u0434\u043e 9\u0447 (\u043d\u0430\u0443\u0442\u0440\u043e)<\/span><span> \u0430\u043a\u043e \u0438\u043c\u0430\u0442\u0435 \u0438\u0437\u0431\u0440\u0430\u043d\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438\u043b\u0438 \u0438 \u0434\u0432\u0430\u0442\u0430 \u043a\u0443\u0440\u0441\u0430, \u0438\u043b\u0438 \u0434\u043e 20.9.2025 \u0433\u043e\u0434\u0438\u043d\u0430 \u0430\u043a\u043e \u0438\u043c\u0430\u0442\u0435 \u0438\u0437\u0431\u0440\u0430\u043d\u043e \u0441\u0430\u043c\u043e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0438\u0440\u0430\u045a\u0435.<\/span><\/span><\/p>\n<p><span><span>For any questions, you can write to us at <\/span><span><a href=\"mailto:podgotvitelna@finki.ukim.mk\" rel=\"noopener noreferrer\" target=\"_blank\">podgotvitelna@finki.ukim.mk<\/a><\/span><span>.<\/span><\/span><\/p>\n<p><span><span>V. Brief Summaries of Material for Preparatory Instruction<\/span><\/span><\/p>\n<p><span><span>Brief outlines of the material covered in the preparatory mathematics and programming classes are provided below.<\/span><\/span><\/p>\n<p><span><span>Details of the Mathematics Course<\/span><\/span><\/p>\n<p><span><span>The mathematics classes cover significant portions of the material taught in primary and secondary education that are required in order to follow first-year mathematics courses more easily across all study programmes.\u00a0<\/span><\/span><\/p>\n<p><span><span>Description of the topics to be covered:<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Topic 1: Basic Number Sets; Algebraic and Rational Expressions\u00a0<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Basic number sets. Natural numbers: review of operations and laws, prime and coprime numbers, divisibility. Number systems, decimal and binary number systems. Integers: review of operations, ordering. Rational numbers: review of operations with fractions, decimal numbers, infinite decimal numbers. Real numbers: concept, geometric representation, ordering. Algebraic and rational expressions: exponents on natural numbers, operations with powers. Integral rational expressions: monomials, polynomials, operations, factoring, LCM and GCD. Fractional rational expressions: definition and operations.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 2: Linear Functions, Linear Equations and Inequalities; Systems of Linear Equations\u00a0<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Linear functions, linear equations and inequalities. Cartesian coordinate system in the plane. Real-valued functions: domain and range. Linear functions, behaviour and graphs. Linear equations in one unknown: solution, discussion and application. Linear inequalities in one unknown. Systems of linear equations: systems of two linear equations in two unknowns and equivalence. Methods for solving systems of two linear equations in two unknowns. Solving systems of linear inequalities in one unknown. Absolute value of a real number. Equations and inequalities involving absolute values.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 3: Quadratic Equations and Inequalities; Powers and Roots\u00a0<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Quadratic Equations: solving a complete quadratic equation, solving an incomplete quadratic equation, discussing the solutions of a complete quadratic equation. Quadratic Function (properties and graph) and a quadratic inequality with one unknown. Powers and Roots: a power with an integer exponent, a root (concept, expanding and contracting), taking roots of products and quotients, exponentiating and rooting a root, normal form of a root, irrational expressions. Rationalizing the denominator of a fraction. A power with a rational exponent.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 4: Exponential and Logarithmic Functions; Trigonometric Functions<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Exponential functions: definition, graphs and properties. Logarithmic functions, logarithm rules and relationships between logarithms with different bases. Trigonometry: trigonometric functions of an acute angle; relationships between the trigonometric functions of the same angle; values of trigonometric functions for selected angles; solving right-angled triangles; definitions of the trigonometric functions (sine, cosine, tangent and cotangent) of an arbitrary angle; values of the trigonometric functions of an arbitrary angle.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 5: Mathematical Logic\u00a0<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Expressions. Operations with expressions and truth tables. Expression formulas and tautologies. Translating sentences from natural language into logical expression formulas. Expression functions: concept and solution of an expression function. Quantifiers. Axioms, theorems, proofs. Proving simple mathematical problems.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 6: Sets; Combinatorics<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Sets. Subsets and equality of sets. Operations on sets. Induction. Combinatorics: combinations, permutations and variations. Binomial theorem.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span><span>Details of the Programming Course<\/span><\/span><\/p>\n<p><span><span>The programming classes cover significant portions of the material taught in secondary education and also include methods for mastering algorithmic concepts more easily.<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Topic 1: Algorithms and Programming; Integrated Development Environments<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>The concept of an algorithm. Simple algorithms and the development of sample algorithms. Elements of programming environments: compiler, linker, debugger and standard-function libraries. Working with an integrated development environment: installation and an overview of the environment, including the main window and workspace. Creating a new project and adding a source file to the project. Building and running a project.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 2: Introduction to the C++ Programming Language<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>C++ syntax: alphabet, words, special symbols and comments. Quantities and data. Basic data types (char, int, float, double, bool). Expressions and statements in C++. Variables and their declaration. Structure of C++ programs. Operators in C++: arithmetic, assignment, increment and decrement (prefix and postfix), relational and logical operators. Input and output. Examples of simple C++ programs.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 3: Sequential Structure; Developing Simple Programs<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Sequential structure and blocks of statements. Empty statement. Development of simple C++ programs.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 4: Control Structures; Selection Statements<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>Control statements: selection statements, iteration statements and jump statements. Selection statements: if, if-else and switch. Nesting if statements. Examples of C++ programs using selection statements.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 5: Iteration Statements<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>The while statement\u2014implementation of the while-do control structure. Examples of using the while statement. The do-while statement\u2014implementation of the repeat-until control structure. Examples of using the do-while statement. The for statement\u2014implementation of the for-to-step control structure. Examples of using the for statement. Jump statements: break and continue.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><span><span>Topic 6: One-Dimensional Arrays<\/span><\/span><\/p>\n<ul>\n<li>\n<p><span><span>\u041d\u0438\u0437\u0438\u0442\u0435 \u043a\u0430\u043a\u043e \u043f\u043e\u0434\u0430\u0442\u043e\u0447\u043d\u0438 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0438. \u0414\u0435\u043a\u043b\u0430\u0440\u0438\u0440\u0430\u045a\u0435 \u043d\u0430 \u043d\u0438\u0437\u0430. \u041f\u0440\u0438\u0441\u0442\u0430\u043f \u0434\u043e \u0435\u043b\u0435\u043c\u0435\u043d\u0442 \u043d\u0430 \u043d\u0438\u0437\u0430 \u2013 \u0438\u043d\u0434\u0435\u043a\u0441\u0438 \u043d\u0430 \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0438. \u0418\u043d\u0438\u0446\u0438\u0458\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0458\u0430 \u043d\u0430 \u043d\u0438\u0437\u0430. \u041f\u0440\u0438\u043c\u0435\u0440\u0438 \u043d\u0430 C++ \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0438 \u0441\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0430 \u043d\u0430 \u043d\u0438\u0437\u0438.<\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span><span>We wish you a successful teaching.<\/span><\/span><\/p>","protected":false},"featured_media":15124,"template":"","class_list":["post-17444","announcement","type-announcement","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/finki.ukim.mk\/en\/wp-json\/wp\/v2\/announcement\/17444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/finki.ukim.mk\/en\/wp-json\/wp\/v2\/announcement"}],"about":[{"href":"https:\/\/finki.ukim.mk\/en\/wp-json\/wp\/v2\/types\/announcement"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/finki.ukim.mk\/en\/wp-json\/wp\/v2\/media\/15124"}],"wp:attachment":[{"href":"https:\/\/finki.ukim.mk\/en\/wp-json\/wp\/v2\/media?parent=17444"}],"curies":[{"name":"WordPress","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}