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Coursera - Introduction to Discrete Mathematics for Computer Science Specialization

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Coursera - Introduction to Discrete Mathematics for Computer Science Specialization (Size: 3.9 GB)
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  TutsNode.com.txt 63 B
  [TGx]Downloaded from torrentgalaxy.to .txt 585 B
  [TutsNode.com] - Introduction to Discrete Mathematics for Computer Science Specialization
  combinatorics
  01_basic-counting
  01_pre-survey-on-hse-online-courses
  01_rules-on-the-academic-integrity-in-the-course_instructions.html 3.19 KB
  02_starting-to-count
  01_why-counting.en.srt 3.39 KB
  01_why-counting.en.txt 2.11 KB
  01_why-counting.mp4 5.74 MB
  02_rule-of-sum.en.srt 4.17 KB
  02_rule-of-sum.en.txt 2.46 KB
  02_rule-of-sum.mp4 6.54 MB
  03_rule-of-sum-in-programming_exam.html 1.8 KB
  04_numbers-divisible-by-2-or-3_quiz.html 1.55 KB
  05_how-not-to-use-the-rule-of-sum.en.srt 4.26 KB
  05_how-not-to-use-the-rule-of-sum.en.txt 2.48 KB
  05_how-not-to-use-the-rule-of-sum.mp4 6.59 MB
  06_convenient-language-sets.en.srt 6.73 KB
  06_convenient-language-sets.en.txt 3.75 KB
  06_convenient-language-sets.mp4 8.89 MB
  07_operations-with-sets_exam.html 2.88 KB
  08_generalized-rule-of-sum.en.srt 4.72 KB
  08_generalized-rule-of-sum.en.txt 2.77 KB
  08_generalized-rule-of-sum.mp4 6.84 MB
  09_generalized-rule-of-sum_exam.html 1.86 KB
  10_slides_01_starting_to_count.pdf 450.36 KB
  10_slides_instructions.html 1.04 KB
  03_recursive-counting
  01_number-of-paths.en.srt 5.66 KB
  01_number-of-paths.en.txt 3.45 KB
  01_number-of-paths.mp4 8.47 MB
  02_rule-of-product.en.srt 3.45 KB
  02_rule-of-product.en.txt 2.06 KB
  02_rule-of-product.mp4 6.17 MB
  03_rule-of-product-in-programming_exam.html 2.3 KB
  04_applications-of-the-rule-of-product_exam.html 143.29 KB
  05_back-to-recursive-counting.en.srt 4.18 KB
  05_back-to-recursive-counting.en.txt 2.5 KB
  05_back-to-recursive-counting.mp4 6.91 MB
  06_slides_02_recursive_counting.pdf 924.92 KB
  06_slides_instructions.html 1.04 KB
  04_tuples-and-permutations
  01_number-of-tuples.en.srt 6.28 KB
  01_number-of-tuples.en.txt 3.7 KB
  01_number-of-tuples.mp4 9.54 MB
  02_tuples_exam.html 1.3 KB
  03_licence-plates.en.srt 3.86 KB
  03_licence-plates.en.txt 2.28 KB
  03_licence-plates.mp4 6.88 MB
  04_tuples-with-restrictions.en.srt 5.55 KB
  04_tuples-with-restrictions.en.txt 3.33 KB
  04_tuples-with-restrictions.mp4 9.74 MB
  05_permutations.en.srt 12.15 KB
  05_permutations.en.txt 7.2 KB
  05_permutations.mp4 17.71 MB
  06_listing-all-permutations_instructions.html 1.27 KB
  07_counting-with-restrictions_exam.html 2.36 KB
  08_slides_03_tuples_and_permutations.pdf 128.31 KB
  08_slides_instructions.html 1.04 KB
  02_binomial-coefficients
  01_combinations
  01_previously-on-combinatorics.en.srt 7.25 KB
  01_previously-on-combinatorics.en.txt 4.4 KB
  01_previously-on-combinatorics.mp4 16.29 MB
  02_generating-combinatorial-objects-code_instructions.html 1.65 KB
  03_number-of-games-in-a-tournament.en.srt 13.68 KB
  03_number-of-games-in-a-tournament.en.txt 8.21 KB
  03_number-of-games-in-a-tournament.mp4 30.11 MB
  04_number-of-segments-and-diagonals_exam.html 250.43 KB
  05_combinations.en.srt 9.41 KB
  05_combinations.en.txt 5.72 KB
  05_combinations.mp4 23.54 MB
  06_forming-sport-teams_exam.html 1.38 KB
  07_number-of-iterations-of-nested-for-loops_quiz.html 1.84 KB
  08_slides_combinations.pdf 178.08 KB
  08_slides_instructions.html 1.03 KB
  02_pascals-triangle
  01_pascals-triangle.en.srt 10.63 KB
  01_pascals-triangle.en.txt 6.5 KB
  01_pascals-triangle.mp4 26.36 MB
  02_symmetries.en.srt 4.57 KB
  02_symmetries.en.txt 2.82 KB
  02_symmetries.mp4 11.36 MB
  03_row-sums.en.srt 12.75 KB
  03_row-sums.en.txt 7.77 KB
  03_row-sums.mp4 30.4 MB
  04_sum-of-the-first-six-rows-of-pascals-triangle_exam.html 46.84 KB
  05_binomial-theorem.en.srt 14.36 KB
  05_binomial-theorem.en.txt 8.86 KB
  05_binomial-theorem.mp4 35.3 MB
  06_expanding-3a-2b-k_exam.html 2.4 KB
  07_slides_instructions.html 1.02 KB
  07_slides_pascal_triangle.pdf 100.24 KB
  03_practice-counting
  01_practice-counting.en.srt 15.19 KB
  01_practice-counting.en.txt 9.14 KB
  01_practice-counting.mp4 35.72 MB
  02_practice-counting_exam.html 95.15 KB
  03_slides_instructions.html 1.04 KB
  03_slides_practice_counting.pdf 90.18 KB
  03_advanced-counting
  01_combinations-with-repetitions
  01_review.en.srt 4.71 KB
  01_review.en.txt 2.86 KB
  01_review.mp4 6.63 MB
  02_salads_exam.html 1.56 KB
  03_salad.en.srt 7.33 KB
  03_salad.en.txt 4.19 KB
  03_salad.mp4 8.75 MB
  04_combinations-with-repetitions.en.srt 10.11 KB
  04_combinations-with-repetitions.en.txt 6.04 KB
  04_combinations-with-repetitions.mp4 13.71 MB
  05_salads_instructions.html 1.31 KB
  06_combinations-with-repetitions_exam.html 1.73 KB
  07_slides_231_combinations_with_repetitions.pdf 168.03 KB
  07_slides_instructions.html 1.05 KB
  02_problems-in-combinatorics
  01_distributing-assignments-among-people_quiz.html 1.63 KB
  02_distributing-assignments-among-people.en.srt 5.24 KB
  02_distributing-assignments-among-people.en.txt 2.96 KB
  02_distributing-assignments-among-people.mp4 6.82 MB
  03_distributing-candies-among-kids_quiz.html 1.43 KB
  04_distributing-candies-among-kids.en.srt 4.77 KB
  04_distributing-candies-among-kids.en.txt 2.82 KB
  04_distributing-candies-among-kids.mp4 6.75 MB
  05_numbers-with-fixed-sum-of-digits_quiz.html 1.41 KB
  06_numbers-with-fixed-sum-of-digits.en.srt 6.27 KB
  06_numbers-with-fixed-sum-of-digits.en.txt 3.65 KB
  06_numbers-with-fixed-sum-of-digits.mp4 8.72 MB
  07_numbers-with-non-increasing-digits_quiz.html 1.27 KB
  08_numbers-with-non-increasing-digits.en.srt 3.32 KB
  08_numbers-with-non-increasing-digits.en.txt 1.9 KB
  08_numbers-with-non-increasing-digits.mp4 4.61 MB
  09_splitting-into-working-groups_quiz.html 1.18 KB
  10_splitting-into-working-groups.en.srt 5.5 KB
  10_splitting-into-working-groups.en.txt 3.42 KB
  10_splitting-into-working-groups.mp4 7.79 MB
  11_problems-in-combinatorics_exam.html 3.71 KB
  12_slides_232_problems_in_combinatorics.pdf 133.71 KB
  12_slides_instructions.html 1.05 KB
  04_probability
  01_what-is-probability
  01_the-paradox-of-probability-theory.en.srt 5.36 KB
  01_the-paradox-of-probability-theory.en.txt 3.04 KB
  01_the-paradox-of-probability-theory.mp4 10.61 MB
  02_galton-board.en.srt 7.04 KB
  02_galton-board.en.txt 4.3 KB
  02_galton-board.mp4 17.28 MB
  03_concentration-for-galton-board_exam.html 3.8 KB
  04_natural-sciences-and-mathematics.en.srt 7.55 KB
  04_natural-sciences-and-mathematics.en.txt 4.47 KB
  04_natural-sciences-and-mathematics.mp4 18.15 MB
  05_rolling-dice.en.srt 8.7 KB
  05_rolling-dice.en.txt 5.15 KB
  05_rolling-dice.mp4 21.48 MB
  06_computing-probabilities-for-two-dice_exam.html 2.18 KB
  07_more-probability-spaces.en.srt 12.25 KB
  07_more-probability-spaces.en.txt 7.47 KB
  07_more-probability-spaces.mp4 28.75 MB
  08_computing-probabilities-more-examples_exam.html 2.76 KB
  09_slides_241_what_is_probability.pdf 7.64 MB
  09_slides_instructions.html 1.04 KB
  02_probability-dos-and-don-t-s
  01_not-equiprobable-outcomes.en.srt 5.92 KB
  01_not-equiprobable-outcomes.en.txt 3.54 KB
  01_not-equiprobable-outcomes.mp4 13.4 MB
  02_fair-decisions-and-imperfect-coins_exam.html 3.49 KB
  03_more-about-finite-spaces.en.srt 7.92 KB
  03_more-about-finite-spaces.en.txt 4.67 KB
  03_more-about-finite-spaces.mp4 18.63 MB
  04_mathematics-for-prisoners.en.srt 8.63 KB
  04_mathematics-for-prisoners.en.txt 5.22 KB
  04_mathematics-for-prisoners.mp4 22.37 MB
  05_not-all-questions-make-sense.en.srt 12.88 KB
  05_not-all-questions-make-sense.en.txt 7.86 KB
  05_not-all-questions-make-sense.mp4 29.56 MB
  06_inclusion-exclusion-formula_exam.html 1.58 KB
  07_slides_242_probability_dos_and_donts.pdf 258.01 KB
  07_slides_instructions.html 1.05 KB
  03_conditional-probability
  01_what-is-conditional-probability.en.srt 7.96 KB
  01_what-is-conditional-probability.en.txt 4.78 KB
  01_what-is-conditional-probability.mp4 21.44 MB
  02_computing-conditional-probabilities_exam.html 2.42 KB
  03_how-reliable-is-the-test.en.srt 10.01 KB
  03_how-reliable-is-the-test.en.txt 5.71 KB
  03_how-reliable-is-the-test.mp4 25.13 MB
  04_bayes-theorem.en.srt 9.54 KB
  04_bayes-theorem.en.txt 5.85 KB
  04_bayes-theorem.mp4 26.2 MB
  05_prisoner-king-and-conditional-probabilities_exam.html 1.42 KB
  06_conditional-probability-a-paradox.en.srt 9.79 KB
  06_conditional-probability-a-paradox.en.txt 5.59 KB
  06_conditional-probability-a-paradox.mp4 22.79 MB
  07_more-conditional-probabilities_exam.html 1.59 KB
  08_past-and-future.en.srt 9.92 KB
  08_past-and-future.en.txt 5.76 KB
  08_past-and-future.mp4 24.87 MB
  09_independence.en.srt 9.42 KB
  09_independence.en.txt 5.83 KB
  09_independence.mp4 25.02 MB
  10_more-about-independence_exam.html 3.2 KB
  11_slides_243_conditional_probability.pdf 249.76 KB
  11_slides_instructions.html 1.04 KB
  04_monty-hall-paradox
  01_monty-hall-paradox.en.srt 9.92 KB
  01_monty-hall-paradox.en.txt 6.16 KB
  01_monty-hall-paradox.mp4 26.18 MB
  02_our-position.en.srt 7.91 KB
  02_our-position.en.txt 4.53 KB
  02_our-position.mp4 20.15 MB
  03_monty-hall-gone-crazy_exam.html 3.12 KB
  04_slides_244_monty_hall_paradox.pdf 250.98 KB
  04_slides_instructions.html 1.04 KB
  05_random-variables
  01_random-variables-and-expectations
  01_random-variables.en.srt 2.62 KB
  01_random-variables.en.txt 1.6 KB
  01_random-variables.mp4 3.73 MB
  02_random-variables_exam.html 2.53 KB
  03_average.en.srt 6.51 KB
  03_average.en.txt 3.9 KB
  03_average.mp4 9.22 MB
  04_average-value-of-a-dice-throw-experiment_instructions.html 1.5 KB
  05_average_exam.html 2.13 KB
  06_expectation.en.srt 11.52 KB
  06_expectation.en.txt 7.08 KB
  06_expectation.mp4 16.05 MB
  07_expectations_exam.html 1.51 KB
  08_slides_251_random_variables.pdf 654.2 KB
  08_slides_instructions.html 1.04 KB
  02_linearity-of-expectation
  01_linearity-of-expectation.en.srt 9.17 KB
  01_linearity-of-expectation.en.txt 5.62 KB
  01_linearity-of-expectation.mp4 13.82 MB
  02_linearity-of-expectation_exam.html 1.44 KB
  03_bobs-party_exam.html 1.33 KB
  04_birthday-problem.en.srt 11.61 KB
  04_birthday-problem.en.txt 7.17 KB
  04_birthday-problem.mp4 18.08 MB
  05_more-linearity_exam.html 1.32 KB
  06_slides_252_linearity.pdf 85.09 KB
  06_slides_instructions.html 1.03 KB
  03_expectation-is-not-all
  01_expectation-is-not-all.en.srt 5.52 KB
  01_expectation-is-not-all.en.txt 3.27 KB
  01_expectation-is-not-all.mp4 8.57 MB
  02_dice-game-experiment_instructions.html 2.02 KB
  03_slides_253_expectation_is_not.pdf 33.31 KB
  03_slides_instructions.html 1.04 KB
  04_markovs-inequality
  01_from-expectation-to-probability.en.srt 2.81 KB
  01_from-expectation-to-probability.en.txt 1.63 KB
  01_from-expectation-to-probability.mp4 5.07 MB
  02_average-income_exam.html 1.41 KB
  03_markovs-inequality.en.srt 8.57 KB
  03_markovs-inequality.en.txt 5.06 KB
  03_markovs-inequality.mp4 12.4 MB
  04_bobs-party-revisited_exam.html 1.59 KB
  05_alices-tests_exam.html 1.32 KB
  06_application-to-algorithms.en.srt 5.95 KB
  06_application-to-algorithms.en.txt 3.44 KB
  06_application-to-algorithms.mp4 8.44 MB
  07_slides_254_markov_inequality.pdf 74.36 KB
  07_slides_instructions.html 1.04 KB
  06_project-dice-games
  01_dice-game-problem
  01_dice-game.en.srt 4.16 KB
  01_dice-game.en.txt 2.54 KB
  01_dice-game.mp4 6.2 MB
  02_playing-the-game.en.srt 11.92 KB
  02_playing-the-game.en.txt 6.66 KB
  02_playing-the-game.mp4 15.31 MB
  03_experiment-dice-game_instructions.html 2.29 KB
  04_slides_261_dice_game_problem.pdf 917.04 KB
  04_slides_instructions.html 1.04 KB
  02_project-description
  01_project-description.en.srt 5.88 KB
  01_project-description.en.txt 3.63 KB
  01_project-description.mp4 8.91 MB
  02_slides_262_project_discription.pdf 28.27 KB
  02_slides_instructions.html 1.04 KB
  03_final-project-dice-game_exam.html 5.13 KB
  delivery-problem
  01_traveling-salesman-problem
  01_problem-statement-and-applications
  01_delivery-problem.en.srt 15.44 KB
  01_delivery-problem.en.txt 9.32 KB
  01_delivery-problem.mp4 36.75 MB
  02_shortest-common-superstring-problem.en.srt 13.9 KB
  02_shortest-common-superstring-problem.en.txt 7.99 KB
  02_shortest-common-superstring-problem.mp4 31.62 MB
  03_rules-on-the-academic-integrity-in-the-course_instructions.html 3.19 KB
  04_cycle-weight_exam.html 1.08 KB
  05_additional-materials_index.html 18.42 KB
  05_additional-materials_instructions.html 1.58 KB
  05_additional-materials_tsp.pdf 3.28 MB
  02_algorithms-first-steps
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  01_brute-force-search.en.txt 8.52 KB
  01_brute-force-search.mp4 34.65 MB
  02_brute-force-algorithm_exam.html 1.16 KB
  03_average-weight_exam.html 1.02 KB
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  04_nearest-neighbor.en.txt 5.88 KB
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  05_nearest-neighbors_exam.html 1.18 KB
  02_exact-algorithms
  01_exact-algorithms-branch-and-bound
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  01_branch-and-bound.mp4 43.8 MB
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  02_exact-algorithms-dynamic-programming-optional
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  02_dynamic-programming-representing-subsets.en.srt 11.83 KB
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Description



Description

Discrete Mathematics is the language of Computer Science. One needs to be fluent in it to work in many fields including data science, machine learning, and software engineering (it is not a coincidence that math puzzles are often used for interviews). We introduce you to this language through a fun try-this-before-we-explain-everything approach: first you solve many interactive puzzles that are carefully designed specifically for this online specialization, and then we explain how to solve the puzzles, and introduce important ideas along the way. We believe that this way, you will get a deeper understanding and will better appreciate the beauty of the underlying ideas (not to mention the self confidence that you gain if you invent these ideas on your own!). To bring your experience closer to IT-applications, we incorporate programming examples, problems, and projects in the specialization.

We’ll implement together an efficient program for a problem needed by delivery companies all over the world millions times per day — the travelling salesman problem. The goal in this problem is to visit all the given places as quickly as possible. How to find an optimal solution to this problem quickly? We still don’t have provably efficient algorithms for this difficult computational problem and this is the essence of the P versus NP problem, the most important open question in Computer Science. Still, we’ll implement several efficient solutions for real world instances of the travelling salesman problem. While designing these solutions, we will rely heavily on the material learned in the courses of the specialization: proof techniques, combinatorics, probability, graph theory. We’ll see several examples of using discrete mathematics ideas to get more and more efficient solutions.

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