{"id":11451,"date":"2026-08-10T10:32:21","date_gmt":"2026-08-10T10:32:21","guid":{"rendered":"https:\/\/nokobox.com\/index.php\/item\/udemy-discrete-mathematics-1-2025-5\/"},"modified":"2026-08-10T10:32:21","modified_gmt":"2026-08-10T10:32:21","slug":"udemy-discrete-mathematics-1-2025-5","status":"publish","type":"digital_item","link":"https:\/\/nokobox.com\/index.php\/item\/udemy-discrete-mathematics-1-2025-5\/","title":{"rendered":"Udemy \u2013 Discrete Mathematics 1 2025-5"},"content":{"rendered":"<div class=\"w-post-elm post_content\">\n<h2 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Description<\/span><\/h2>\n<div class=\"presented-response-container ng-tns-c4162892837-32\" style=\"text-align: left\">\n<div class=\"response-container-content ng-tns-c4162892837-32 is-mobile\">\n<div class=\"response-content ng-tns-c4162892837-32\">\n<div id=\"model-response-message-contentr_4c60f5d6e9eaea76\" class=\"markdown markdown-main-panel tutor-markdown-rendering stronger enable-updated-hr-color\">\n<p><span style=\"vertical-align: inherit\">Discrete Mathematics 1. This course covers the basic topics of this branch of mathematics and provides a foundation for understanding more advanced concepts. The course covers introductory concepts to academic topics and is divided into fourteen sections. In the first section, participants are introduced to the course structure and study method. The second section teaches basic principles such as proving formulas, divisibility, and problem-solving methods. The third section deals with logic and introduces logical symbols, suras, and necessary and sufficient conditions. The fourth section covers set theory and examines concepts such as union, commonality, and cardinality. The fifth section is devoted to functions and explains types of functions, their domain, range, and composition. The sixth section teaches binary relations, equivalence, and ordinal relations. The seventh section defines functions as special relations. The eighth section provides a brief introduction to sequences. Part 9 examines various proof techniques such as direct, indirect, and induction proofs. Part 10 introduces the concepts of factorials, binomial coefficients, and the binomial theorem. Part 11 covers the principles of combinatorics, permutations, and counting. This course is the first in a trilogy, and more advanced topics such as number theory, graphs, and probability will be covered in later courses (DM2 and DM3).<\/span><\/p>\n<h3><span style=\"vertical-align: inherit\">What you will learn<\/span><\/h3>\n<ul>\n<li><span style=\"vertical-align: inherit\">How to solve problems in selected discrete mathematics topics (with 395 solved problems) and why these methods work, step by step.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Elementary logic, including proofs of equivalences involving implication, inflection, and division; necessary and sufficient conditions.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Elementary set theory, including work with the intersection and union of sets and other set-related topics.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">An introduction to mathematical theories, with concepts such as axioms, theorems, basic concepts, etc.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">The concept of a function between two discrete sets: one-to-one, spanning, and bidirectional functions.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">The concept of a (binary) relation as a subset of the Cartesian product of two sets: RST relations, order relations, etc.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">RST relations and the concept of equivalence classes; an explanation for the moduli relation between integers.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Functions as relations; different ways of representing functions between two discrete sets; equipotent sets.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">An introduction to the topic of sequences, just the basic concepts that may be needed in combinatorics; we will return to the topic of sequences in DM3.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Various proof techniques, including direct proofs, proof by contradiction, proof by contradiction, mathematical induction, and the pigeonhole principle.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Preparation for combinatorics: concept of index, sigma sign (with calculation rules), n factorial, n choice of k, Pascal\u2019s triangle, binomial theorem.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">A brief introduction to combinatorics: the art of counting. Permutations, combinations, paths, etc.; this topic will be continued in the first parts of DM2.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Fun logic problems and riddles, including the famous zebra riddle (Einstein\u2019s riddle) and some classic riddles about liars and truth tellers.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">This is the first course in discrete mathematics, so don\u2019t worry that neither number theory nor graph theory is covered; they will be covered in later courses.<\/span><\/li>\n<\/ul>\n<h3><span style=\"vertical-align: inherit\">This course is suitable for people who:<\/span><\/h3>\n<ul>\n<li><span style=\"vertical-align: inherit\">Students who plan to study mathematics at the college or university level and want to achieve mathematical maturity for success.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">High school students who are curious about academic mathematics; this course is intended for purchase by adults.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Anyone who wants to review their high school math and gain a deeper understanding of the subject.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">College and university students studying advanced courses who want to understand all the details they may have missed in their previous training.<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Students who need mathematics for computer science, artificial intelligence, machine learning, or other fields that require mathematics.<\/span><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Discrete Mathematics 1 Course Specifications<\/span><\/h3>\n<ul style=\"text-align: left\">\n<li><span style=\"vertical-align: inherit\">Publisher:&nbsp; <\/span><a href=\"https:\/\/href.li\/?https:\/\/www.udemy.com\/course\/discrete-mathematics-1\/\" target=\"_blank\" rel=\"noopener\"><span style=\"vertical-align: inherit\">Udemy<\/span><\/a><\/li>\n<li><span style=\"vertical-align: inherit\">Instructor:&nbsp; <\/span><a class=\"ud-btn ud-btn-medium ud-btn-link ud-heading-sm ud-text-sm ud-instructor-links\" href=\"https:\/\/downloadlynet.ir\/tag\/hania-uscka-wehlou\/\" data-position=\"1\"><span class=\"ud-btn-label\"><span style=\"vertical-align: inherit\">Hania Uscka-Wehlou<\/span><\/span><\/a><span style=\"vertical-align: inherit\"> , <\/span><a href=\"https:\/\/downloadlynet.ir\/tag\/martin-wehlou\/\"><span style=\"vertical-align: inherit\">Martin Wehlou<\/span><\/a><\/li>\n<li><span style=\"vertical-align: inherit\">Training level: Beginner to advanced<\/span><\/li>\n<li><span style=\"vertical-align: inherit\">Training duration: 60 hours and 50 minutes<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Course syllabus in 2025\/7<\/span><\/h3>\n<h3 style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-997261 size-full\" src=\"https:\/\/downloadly.ir\/wp-content\/uploads\/2025\/07\/Discrete-Mathematics-1-1.png\" alt=\"Discrete Mathematics 1\" width=\"879\" height=\"933\"><\/h3>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Prerequisites for Discrete Mathematics 1<\/span><\/h3>\n<ul style=\"text-align: left\">\n<li style=\"text-align: left\"><span style=\"vertical-align: inherit\">Basic high school mathematics (mainly arithmetic)<\/span><\/li>\n<li style=\"text-align: left\"><span style=\"vertical-align: inherit\">You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everyone\u2019s advantage if you ask your questions on the forum.<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Course images<\/span><\/h3>\n<h3 style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-997262 size-full\" src=\"https:\/\/downloadly.ir\/wp-content\/uploads\/2025\/07\/Discrete-Mathematics-1.png\" alt=\"Discrete Mathematics 1\" width=\"802\" height=\"351\"><\/h3>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Sample course video<\/span><\/h3>\n<div style=\"width: 640px;\" class=\"wp-video\"><span class=\"mejs-offscreen\">Video Player<\/span><\/p>\n<div id=\"mep_0\" class=\"mejs-container mejs-container-keyboard-inactive wp-video-shortcode mejs-video\" tabindex=\"0\" role=\"application\" aria-label=\"Video Player\" style=\"width: 640px; height: 360px; min-width: 217px;\">\n<div class=\"mejs-inner\">\n<div class=\"mejs-mediaelement\"><mediaelementwrapper id=\"video-171634-1\"><video class=\"wp-video-shortcode\" id=\"video-171634-1_html5\" width=\"640\" height=\"360\" preload=\"metadata\" src=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Discrete_Mathematics_1_Downloadly.ir.mp4?_=1\" style=\"width: 640px; height: 360px;\"><source type=\"video\/mp4\" src=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Discrete_Mathematics_1_Downloadly.ir.mp4?_=1\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Discrete_Mathematics_1_Downloadly.ir.mp4?nocache=1786140816360\">https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Discrete_Mathematics_1_Downloadly.ir.mp4<\/a><\/video><\/mediaelementwrapper><\/div>\n<div class=\"mejs-layers\">\n<div class=\"mejs-poster mejs-layer\" style=\"display: none; width: 100%; height: 100%;\"><\/div>\n<div class=\"mejs-overlay mejs-layer\" style=\"display: none; width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-loading\"><span class=\"mejs-overlay-loading-bg-img\"><\/span><\/div>\n<\/div>\n<div class=\"mejs-overlay mejs-layer\" style=\"display: none; width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-error\"><\/div>\n<\/div>\n<div class=\"mejs-overlay mejs-layer mejs-overlay-play\" style=\"width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-button\" role=\"button\" tabindex=\"0\" aria-label=\"Play\" aria-pressed=\"false\"><\/div>\n<\/div>\n<\/div>\n<div class=\"mejs-controls\">\n<div class=\"mejs-button mejs-playpause-button mejs-play\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Play\" aria-label=\"Play\" tabindex=\"0\"><\/button><\/div>\n<div class=\"mejs-time mejs-currenttime-container\" role=\"timer\" aria-live=\"off\"><span class=\"mejs-currenttime\">00:00<\/span><\/div>\n<div class=\"mejs-time-rail\"><span class=\"mejs-time-total mejs-time-slider\" role=\"slider\" tabindex=\"0\" aria-label=\"Time Slider\" aria-valuemin=\"0\" aria-valuemax=\"0\" aria-valuenow=\"0\" aria-valuetext=\"00:00\"><span class=\"mejs-time-buffering\" style=\"display: none;\"><\/span><span class=\"mejs-time-loaded\"><\/span><span class=\"mejs-time-current\"><\/span><span class=\"mejs-time-hovered no-hover\"><\/span><span class=\"mejs-time-handle\"><span class=\"mejs-time-handle-content\"><\/span><\/span><span class=\"mejs-time-float\"><span class=\"mejs-time-float-current\">00:00<\/span><span class=\"mejs-time-float-corner\"><\/span><\/span><\/span><\/div>\n<div class=\"mejs-time mejs-duration-container\"><span class=\"mejs-duration\">00:00<\/span><\/div>\n<div class=\"mejs-button mejs-volume-button mejs-mute\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Mute\" aria-label=\"Mute\" tabindex=\"0\"><\/button><a href=\"javascript:void(0);\" class=\"mejs-volume-slider\" aria-label=\"Volume Slider\" aria-valuemin=\"0\" aria-valuemax=\"100\" role=\"slider\" aria-orientation=\"vertical\"><span class=\"mejs-offscreen\">Use Up\/Down Arrow keys to increase or decrease volume.<\/span><\/p>\n<div class=\"mejs-volume-total\">\n<div class=\"mejs-volume-current\" style=\"bottom: 0px; height: 100%;\"><\/div>\n<div class=\"mejs-volume-handle\" style=\"bottom: 100%; margin-bottom: -3px;\"><\/div>\n<\/div>\n<p><\/a><\/div>\n<div class=\"mejs-button mejs-fullscreen-button\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Fullscreen\" aria-label=\"Fullscreen\" tabindex=\"0\"><\/button><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"text-align: left\">\n<h3><span style=\"vertical-align: inherit\">Installation Guide<\/span><\/h3>\n<p><span style=\"vertical-align: inherit\">After Extract, view with your favorite player.<\/span><\/p>\n<p><span style=\"vertical-align: inherit\">Subtitles: English<\/span><\/p>\n<p><span style=\"vertical-align: inherit\">Quality: 720p<\/span><\/p>\n<\/div>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">Download link<\/span><\/h3>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part1_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 1 \u2013 6 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part2_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 2 \u2013 6 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part3_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 3 \u2013 6 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part4_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 4 \u2013 6 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part5_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 5 \u2013 6 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part6_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 6 \u2013 6 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Udemy_Discrete_Mathematics_1_2025-5.part7_Downloadly.ir.rar?nocache=1786140815\"><span style=\"vertical-align: inherit\">Download Part 7 \u2013 2.4 GB<\/span><\/a><\/p>\n<p style=\"text-align: left\"><span style=\"vertical-align: inherit\">File(s) password: www.downloadly.ir<\/span><\/p>\n<h3 style=\"text-align: left\"><span style=\"vertical-align: inherit\">File size<\/span><\/h3>\n<p style=\"text-align: left\"><span style=\"vertical-align: inherit\">38.4 GB<\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Description Discrete Mathematics 1. This course covers the basic topics of this branch of mathematics and provides a foundation for understanding more advanced <\/p>\n","protected":false},"author":1,"template":"","dgi_category":[10458],"dgi_tag":[95496,95497,95498,95499,95500,22811,58977],"class_list":["post-11451","digital_item","type-digital_item","status-publish","has-post-thumbnail","hentry","dgi_category-video-tutorials","dgi_tag-course-discrete-mathematics-1","dgi_tag-download-course-discrete-mathematics-1","dgi_tag-download-discrete-mathematics-1","dgi_tag-free-discrete-mathematics-1","dgi_tag-free-download-discrete-mathematics-1","dgi_tag-hania-uscka-wehlou","dgi_tag-martin-wehlou"],"_links":{"self":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item\/11451","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item"}],"about":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/types\/digital_item"}],"author":[{"embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":0,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item\/11451\/revisions"}],"wp:attachment":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/media?parent=11451"}],"wp:term":[{"taxonomy":"dgi_category","embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/dgi_category?post=11451"},{"taxonomy":"dgi_tag","embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/dgi_tag?post=11451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}