The Mathematics in Toys and Games
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We will explore the mathematical strategies behind popular games, toys, and puzzles. Topics covered will combine basic fundamentals of game theory, probability, group theory, and elementary programming concepts. Each week will consist of a lecture and discussion followed by game play to implement the concepts learned in class.
Nr | Query | Error | Affected | Num. rows | Took (ms) |
---|---|---|---|---|---|
1 | SELECT `Advertiser`.`id`, `Advertiser`.`title`, `Advertiser`.`description`, `Advertiser`.`link`, `Advertiser`.`button_title`, `Advertiser`.`logo`, `Advertiser`.`logo_blob`, `Advertiser`.`status`, `Advertiser`.`created`, `Advertiser`.`modified` FROM `1337iot`.`advertisers` AS `Advertiser` WHERE `status` = 1 ORDER BY rand() ASC LIMIT 1 | 0 | 0 | 1 | |
2 | SELECT `Configuration`.`id`, `Configuration`.`heading`, `Configuration`.`default_header`, `Configuration`.`value`, `Configuration`.`created`, `Configuration`.`modified` FROM `1337iot`.`configurations` AS `Configuration` WHERE 1 = 1 | 28 | 28 | 0 | |
3 | SELECT `Cmspages`.`name`, `Cmspages`.`seourl` FROM `1337iot`.`cmspages` AS `Cmspages` WHERE `Cmspages`.`showinfooter` = '1' AND `Cmspages`.`status` = '1' ORDER BY `Cmspages`.`name` ASC | 5 | 5 | 0 | |
4 | SELECT `UserViewCourse`.`id`, `UserViewCourse`.`user_id` FROM `1337iot`.`user_view_courses` AS `UserViewCourse` WHERE `UserViewCourse`.`course_id` = 968 | 10 | 10 | 0 | |
5 | SELECT distinct(`UserViewCourse`.`course_id`), `Course`.`id`, `Course`.`title`, `Course`.`subtitle`, `Course`.`price`, `Course`.`coverimage`, `Course`.`user_id`, (select count(*) as countstudent from user_learning_courses as UserLearningCourse where `UserLearningCourse`.`course_id` = `UserViewCourse`.`course_id`) AS `UserViewCourse__students`, (select avg(rating) rating from course_reviews CourseReview where `CourseReview`.`course_id` = `UserViewCourse`.`course_id`) AS `UserViewCourse__review`, (select concat(`Userdetail`.`first_name`,' ',`Userdetail`.`last_name`) as name from userdetails as Userdetail where `Userdetail`.`user_id` = `Course`.`user_id`) AS `UserViewCourse__name` FROM `1337iot`.`user_view_courses` AS `UserViewCourse` LEFT JOIN `1337iot`.`users` AS `User` ON (`UserViewCourse`.`user_id` = `User`.`id`) LEFT JOIN `1337iot`.`courses` AS `Course` ON (`UserViewCourse`.`course_id` = `Course`.`id`) WHERE `UserViewCourse`.`user_id` in (23357,24011,26781,11471,30522,24470,8440,29924,5272,31717) LIMIT 3 | 3 | 3 | 1 | |
6 | SELECT `CourseReview`.`rating`, `CourseReview`.`Created`, `CourseReview`.`review_text`, `Userdetail`.`first_name`, `Userdetail`.`last_name`, `Userdetail`.`image`, `Userdetail`.`user_id`, (select avg(rating) from course_reviews CourseReview where `CourseReview`.`course_id` =968) AS `CourseReview__avgrating` FROM `1337iot`.`course_reviews` AS `CourseReview` LEFT JOIN `1337iot`.`userdetails` AS `Userdetail` ON (`Userdetail`.`user_id` = `CourseReview`.`user_id`) WHERE `CourseReview`.`course_id` = 968 LIMIT 3 | 0 | 0 | 0 | |
7 | SELECT COUNT(*) AS `count` FROM `1337iot`.`course_reviews` AS `CourseReview` LEFT JOIN `1337iot`.`users` AS `User` ON (`CourseReview`.`user_id` = `User`.`id`) LEFT JOIN `1337iot`.`courses` AS `Course` ON (`CourseReview`.`course_id` = `Course`.`id`) WHERE `CourseReview`.`course_id` = 968 | 1 | 1 | 0 | |
8 | SELECT `CourseSection`.`id`, `CourseSection`.`course_id`, `CourseSection`.`heading`, `CourseSection`.`section_index`, `CourseSection`.`prev`, `CourseSection`.`created`, `CourseSection`.`modified` FROM `1337iot`.`course_sections` AS `CourseSection` WHERE `CourseSection`.`course_id` = 968 | 1 | 1 | 0 | |
9 | SELECT `CourseLecture`.`id`, `CourseLecture`.`course_id`, `CourseLecture`.`course_section_id`, `CourseLecture`.`heading`, `CourseLecture`.`course_description`, `CourseLecture`.`content`, `CourseLecture`.`content_type`, `CourseLecture`.`content_title`, `CourseLecture`.`content_external_link`, `CourseLecture`.`content_source`, `CourseLecture`.`supplimentary_material`, `CourseLecture`.`lecture_index`, `CourseLecture`.`prev`, `CourseLecture`.`live_status`, `CourseLecture`.`file1_upload`, `CourseLecture`.`file2_upload`, `CourseLecture`.`created`, `CourseLecture`.`modified` FROM `1337iot`.`course_lectures` AS `CourseLecture` WHERE `CourseLecture`.`course_section_id` = (1134) | 17 | 17 | 0 | |
10 | SELECT `CourseQuiz`.`id`, `CourseQuiz`.`course_section_id`, `CourseQuiz`.`course_lecture_id`, `CourseQuiz`.`heading`, `CourseQuiz`.`content`, `CourseQuiz`.`publish`, `CourseQuiz`.`created`, `CourseQuiz`.`modified` FROM `1337iot`.`course_quizzes` AS `CourseQuiz` WHERE `CourseQuiz`.`course_section_id` = (1134) | 0 | 0 | 0 | |
11 | SELECT `Course`.`id`, `Course`.`user_id`, `Course`.`category_id`, `Course`.`language_id`, `Course`.`instruction_level_id`, `Course`.`title`, `Course`.`subtitle`, `Course`.`keywords`, `Course`.`summary`, `Course`.`lincence_logo`, `Course`.`lincence_url`, `Course`.`source_title`, `Course`.`source_url`, `Course`.`coverimage`, `Course`.`promovideo`, `Course`.`visibility`, `Course`.`pricetype`, `Course`.`price`, `Course`.`privacy_type`, `Course`.`publishstatus`, `Course`.`status`, `Course`.`created`, `Course`.`modified`, `InstructionLevel`.`id`, `InstructionLevel`.`title`, `InstructionLevel`.`created`, `InstructionLevel`.`modified` FROM `1337iot`.`courses` AS `Course` LEFT JOIN `1337iot`.`instruction_levels` AS `InstructionLevel` ON (`Course`.`instruction_level_id` = `InstructionLevel`.`id`) WHERE `Course`.`id` = 968 AND `Course`.`status` = '1' LIMIT 1 | 1 | 1 | 0 | |
12 | SELECT `CourseAudience`.`id`, `CourseAudience`.`course_id`, `CourseAudience`.`title`, `CourseAudience`.`created`, `CourseAudience`.`modified` FROM `1337iot`.`course_audience` AS `CourseAudience` WHERE `CourseAudience`.`course_id` = (968) | 0 | 0 | 0 | |
13 | SELECT `CourseGoal`.`id`, `CourseGoal`.`course_id`, `CourseGoal`.`title`, `CourseGoal`.`created`, `CourseGoal`.`modified` FROM `1337iot`.`course_goals` AS `CourseGoal` WHERE `CourseGoal`.`course_id` = (968) | 0 | 0 | 0 | |
14 | SELECT `CourseRequirement`.`id`, `CourseRequirement`.`course_id`, `CourseRequirement`.`title`, `CourseRequirement`.`created`, `CourseRequirement`.`modified` FROM `1337iot`.`course_requirements` AS `CourseRequirement` WHERE `CourseRequirement`.`course_id` = (968) | 0 | 0 | 0 | |
15 | SELECT `Userdetail`.*, `User`.`id` FROM `1337iot`.`users` AS `User` LEFT JOIN `1337iot`.`userdetails` AS `Userdetail` ON (`Userdetail`.`user_id` = `User`.`id`) WHERE `User`.`id` = 19 LIMIT 1 | 1 | 1 | 0 | |
16 | SELECT `Course`.`id`, `Course`.`title`, `Course`.`subtitle`, `Course`.`coverimage`, `Course`.`summary`, `Course`.`price`, `Course`.`user_id`, (select count(*) as countstudent from user_learning_courses as UserLearningCourse where `UserLearningCourse`.`course_id` = `Course`.`id`) AS `Course__students`, (select avg(rating) from course_reviews CourseReview where `CourseReview`.`course_id` = `Course`.`id`) AS `Course__avgrating`, (select concat(`Userdetail`.`first_name`,' ',`Userdetail`.`last_name`) as name from userdetails as Userdetail where `Userdetail`.`user_id` = `Course`.`user_id`) AS `Course__name` FROM `1337iot`.`courses` AS `Course` WHERE `Course`.`user_id` = 19 AND `Course`.`publishstatus` = 'Publish' ORDER BY (select count(*) as countstudent from user_learning_courses as UserLearningCourse where `UserLearningCourse`.`course_id` = `Course`.`id`) desc LIMIT 2 | 2 | 2 | 0 | |
17 | SELECT COUNT(*) AS `count` FROM `1337iot`.`courses` AS `Course` LEFT JOIN `1337iot`.`users` AS `User` ON (`Course`.`user_id` = `User`.`id`) LEFT JOIN `1337iot`.`languages` AS `Language` ON (`Course`.`language_id` = `Language`.`id`) LEFT JOIN `1337iot`.`instruction_levels` AS `InstructionLevel` ON (`Course`.`instruction_level_id` = `InstructionLevel`.`id`) WHERE `Course`.`user_id` = 19 AND `Course`.`publishstatus` = 'Publish' | 1 | 1 | 0 | |
18 | SELECT `Userdetail`.`user_id`, `Userdetail`.`first_name`, `Userdetail`.`last_name`, `Userdetail`.`image` FROM `1337iot`.`user_learning_courses` AS `UserLearningCourse` Inner JOIN `1337iot`.`bundles` AS `Bundle` ON (`Bundle`.`status` = 1 AND `UserLearningCourse`.`bundle_id` = `Bundle`.`id`) LEFT JOIN `1337iot`.`userdetails` AS `Userdetail` ON (`UserLearningCourse`.`user_id` = `Userdetail`.`id`) WHERE `UserLearningCourse`.`course_id` = 968 LIMIT 14 | 14 | 14 | 0 | |
19 | SELECT COUNT(*) AS `count` FROM `1337iot`.`user_learning_courses` AS `UserLearningCourse` LEFT JOIN `1337iot`.`users` AS `User` ON (`UserLearningCourse`.`user_id` = `User`.`id`) LEFT JOIN `1337iot`.`courses` AS `Course` ON (`UserLearningCourse`.`course_id` = `Course`.`id`) Inner JOIN `1337iot`.`bundles` AS `Bundle` ON (`Bundle`.`status` = 1 AND `UserLearningCourse`.`bundle_id` = `Bundle`.`id`) WHERE `UserLearningCourse`.`course_id` = 968 | 1 | 1 | 0 | |
20 | SELECT `Course`.`id`, `Course`.`user_id`, `Course`.`category_id`, `Course`.`language_id`, `Course`.`instruction_level_id`, `Course`.`title`, `Course`.`subtitle`, `Course`.`keywords`, `Course`.`summary`, `Course`.`lincence_logo`, `Course`.`lincence_url`, `Course`.`source_title`, `Course`.`source_url`, `Course`.`coverimage`, `Course`.`promovideo`, `Course`.`visibility`, `Course`.`pricetype`, `Course`.`price`, `Course`.`privacy_type`, `Course`.`publishstatus`, `Course`.`status`, `Course`.`created`, `Course`.`modified`, (select count(*) as countstudent from user_learning_courses as UserLearningCourse where `UserLearningCourse`.`course_id` = `Course`.`id`) AS `Course__students`, (select avg(rating) from course_reviews CourseReview where `CourseReview`.`course_id` = `Course`.`id`) AS `Course__avgrating`, (select concat(`Userdetail`.`first_name`,' ',`Userdetail`.`last_name`) as name from userdetails as Userdetail where `Userdetail`.`user_id` = `Course`.`user_id`) AS `Course__name` FROM `1337iot`.`courses` AS `Course` WHERE `Course`.`id` = 968 AND `Course`.`publishstatus` = 'Publish' LIMIT 1 | 1 | 1 | 0 | |
21 | SELECT `UserLearningCourse`.`id`, `UserLearningCourse`.`user_id`, `UserLearningCourse`.`course_id`, `UserLearningCourse`.`completed`, `UserLearningCourse`.`created`, `UserLearningCourse`.`bundle_id`, `UserLearningCourse`.`modified`, `UserLearningCourse`.`payerid`, `User`.`id`, `User`.`fbid`, `User`.`username`, `User`.`password`, `User`.`remembertoken`, `User`.`loginfrom`, `User`.`status`, `User`.`passwordstatus`, `User`.`newsletter`, `User`.`profiletype`, `User`.`created`, `User`.`modified`, `Course`.`id`, `Course`.`user_id`, `Course`.`category_id`, `Course`.`language_id`, `Course`.`instruction_level_id`, `Course`.`title`, `Course`.`subtitle`, `Course`.`keywords`, `Course`.`summary`, `Course`.`lincence_logo`, `Course`.`lincence_url`, `Course`.`source_title`, `Course`.`source_url`, `Course`.`coverimage`, `Course`.`promovideo`, `Course`.`visibility`, `Course`.`pricetype`, `Course`.`price`, `Course`.`privacy_type`, `Course`.`publishstatus`, `Course`.`status`, `Course`.`created`, `Course`.`modified`, (select count(*) as countstudent from user_learning_courses as UserLearningCourse where `UserLearningCourse`.`course_id` = `Course`.`id`) AS `Course__students`, (select avg(rating) from course_reviews CourseReview where `CourseReview`.`course_id` = `Course`.`id`) AS `Course__avgrating`, (select concat(`Userdetail`.`first_name`,' ',`Userdetail`.`last_name`) as name from userdetails as Userdetail where `Userdetail`.`user_id` = `Course`.`user_id`) AS `Course__name`, `Bundle`.`id`, `Bundle`.`title`, `Bundle`.`is_expired`, `Bundle`.`status`, `Bundle`.`expired_on`, `Bundle`.`created`, `Bundle`.`modified` FROM `1337iot`.`user_learning_courses` AS `UserLearningCourse` LEFT JOIN `1337iot`.`users` AS `User` ON (`UserLearningCourse`.`user_id` = `User`.`id`) LEFT JOIN `1337iot`.`courses` AS `Course` ON (`UserLearningCourse`.`course_id` = `Course`.`id`) Inner JOIN `1337iot`.`bundles` AS `Bundle` ON (`Bundle`.`status` = 1 AND `UserLearningCourse`.`bundle_id` = `Bundle`.`id`) WHERE `UserLearningCourse`.`user_id` IS NULL AND `UserLearningCourse`.`course_id` = 968 LIMIT 1 | 0 | 0 | 1 | |
22 | SELECT `CourseUserQuestion`.`id`, `CourseUserQuestion`.`user_id`, `CourseUserQuestion`.`course_id`, `CourseUserQuestion`.`course_lecture_id`, `CourseUserQuestion`.`heading`, `CourseUserQuestion`.`question`, `CourseUserQuestion`.`created`, `CourseUserQuestion`.`modified`, (select `Userdetail`.`first_name` from userdetails Userdetail where `Userdetail`.`user_id` = `CourseUserQuestion`.`user_id`) AS `CourseUserQuestion__firstname`, (select `Userdetail`.`last_name` from userdetails Userdetail where `Userdetail`.`user_id` = `CourseUserQuestion`.`user_id`) AS `CourseUserQuestion__lastname`, (select lecture_index from course_lectures where `course_lectures`.`id` = `CourseUserQuestion`.`course_lecture_id`) AS `CourseUserQuestion__lectureindex`, `User`.`id`, `User`.`fbid`, `User`.`username`, `User`.`password`, `User`.`remembertoken`, `User`.`loginfrom`, `User`.`status`, `User`.`passwordstatus`, `User`.`newsletter`, `User`.`profiletype`, `User`.`created`, `User`.`modified`, `Course`.`id`, `Course`.`user_id`, `Course`.`category_id`, `Course`.`language_id`, `Course`.`instruction_level_id`, `Course`.`title`, `Course`.`subtitle`, `Course`.`keywords`, `Course`.`summary`, `Course`.`lincence_logo`, `Course`.`lincence_url`, `Course`.`source_title`, `Course`.`source_url`, `Course`.`coverimage`, `Course`.`promovideo`, `Course`.`visibility`, `Course`.`pricetype`, `Course`.`price`, `Course`.`privacy_type`, `Course`.`publishstatus`, `Course`.`status`, `Course`.`created`, `Course`.`modified`, (select count(*) as countstudent from user_learning_courses as UserLearningCourse where `UserLearningCourse`.`course_id` = `Course`.`id`) AS `Course__students`, (select avg(rating) from course_reviews CourseReview where `CourseReview`.`course_id` = `Course`.`id`) AS `Course__avgrating`, (select concat(`Userdetail`.`first_name`,' ',`Userdetail`.`last_name`) as name from userdetails as Userdetail where `Userdetail`.`user_id` = `Course`.`user_id`) AS `Course__name`, `CourseLecture`.`id`, `CourseLecture`.`course_id`, `CourseLecture`.`course_section_id`, `CourseLecture`.`heading`, `CourseLecture`.`course_description`, `CourseLecture`.`content`, `CourseLecture`.`content_type`, `CourseLecture`.`content_title`, `CourseLecture`.`content_external_link`, `CourseLecture`.`content_source`, `CourseLecture`.`supplimentary_material`, `CourseLecture`.`lecture_index`, `CourseLecture`.`prev`, `CourseLecture`.`live_status`, `CourseLecture`.`file1_upload`, `CourseLecture`.`file2_upload`, `CourseLecture`.`created`, `CourseLecture`.`modified` FROM `1337iot`.`course_user_questions` AS `CourseUserQuestion` LEFT JOIN `1337iot`.`users` AS `User` ON (`CourseUserQuestion`.`user_id` = `User`.`id`) LEFT JOIN `1337iot`.`courses` AS `Course` ON (`CourseUserQuestion`.`course_id` = `Course`.`id`) LEFT JOIN `1337iot`.`course_lectures` AS `CourseLecture` ON (`CourseUserQuestion`.`course_lecture_id` = `CourseLecture`.`id`) WHERE `CourseUserQuestion`.`course_id` = 968 AND `CourseUserQuestion`.`user_id` IS NULL ORDER BY `CourseUserQuestion`.`created` desc | 0 | 0 | 1 |