Lynda - Foundations of Programming - Discrete Mathematics

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Lynda - Foundations of Programming - Discrete Mathematics (Size: 369.4 MB)

		Exercise Files.zip	1.03 MB
		info.txt	1.64 KB
		01. Welcome.mp4	14.04 MB
		02. What you should know.mp4	1.13 MB
		03. Basics of discrete mathematics.mp4	1.2 MB
		03. Basics of discrete mathematics.mp4	4.15 MB
		04. Discrete math for programming.mp4	4.19 MB
		05. Real-world discrete math.mp4	4.21 MB
		06. Abstract discrete math.mp4	2.72 MB
		07. Objects as sets.mp4	4.3 MB
		08. Set notation.mp4	5.14 MB
		09. Set operations.mp4	7.86 MB
		10. Power sets.mp4	5.97 MB
		11. Sequences and sums.mp4	9.5 MB
		12. Recursion.mp4	9.81 MB
		13. Cardinality, disjointness, and partitions.mp4	3.25 MB
		14. Sets from Cartesian products.mp4	4.17 MB
		15. Challenge - Practice with sets.mp4	1.32 MB
		16. Solution - Practice with sets.mp4	10.72 MB
		17. Functional programming.mp4	4.16 MB
		18. Datatypes.mp4	5.54 MB
		19. Characters and strings.mp4	6.8 MB
		20. Recursive functions.mp4	5.55 MB
		21. Challenge - Learn SML.mp4	2.7 MB
		22. Solution - Create new data types.mp4	3.35 MB
		23. Use SML to create lists.mp4	5.89 MB
		24. Perform functions on lists.mp4	5.2 MB
		25. Create datatypes that use lists.mp4	3.61 MB
		26. Challenge - Model a lunch order.mp4	1.83 MB
		27. Solution - Model a lunch order.mp4	5.57 MB
		28. Valid reasoning and inference.mp4	8.45 MB
		29. Truth tables.mp4	6.55 MB
		30. Identify and evaluate predicates.mp4	9.78 MB
		31. Conditional propositions.mp4	7.86 MB
		32. Valid arguments.mp4	6.22 MB
		33. Rules of inference.mp4	6.47 MB
		34. Prove logical equivalence.mp4	7.98 MB
		35. Challenge - Write truth tables.mp4	1.53 MB
		36. Solution - Write truth tables.mp4	7.37 MB
		37. Write a general outline for a proof.mp4	58.02 MB
		38. Write subset proofs.mp4	4.29 MB
		39. Evaluate conditional proofs.mp4	12.61 MB
		40. Understand biconditional proofs.mp4	5.87 MB
		41. Prove with mathematical induction.mp4	15.04 MB
		42. Challenge - Write a proof.mp4	1.37 MB
		43. Solution - Write a proof.mp4	6.73 MB
		44. Visualize data with graph theory.mp4	3.53 MB
		45. Network optimization with trees.mp4	3.62 MB
		46. Event probability.mp4	4.81 MB
		47. Cryptography.mp4	28.87 MB
		48. Challenge - Advanced techniques.mp4	1.56 MB
		49. Solution - Advanced techniques.mp4	8.52 MB
		50. Next steps.mp4	7.4 MB

Description

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Lynda - Foundations of Programming - Discrete Mathematics
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Released - 09.03.2016
Updated - 16.03.2016

Downloaded - 20.03.2016

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Skill Level: Intermediate
Duration: 3h 11m

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What is discrete math, and how does it apply to programming? Math is an important part of all programming. Discrete mathematics is the study of mathematical structures that are unique (aka discrete).
Think integers, graphs, and logical statements—things we use a lot in programming.
Discrete math can be used for software design specifications, analysis of algorithms, and other practical applications, but it's really a great tool to develop as a programmer.
Put simply, it's a building block for logical thinking.

This course relies on an open-source SML (standard machine language) library to demo the concepts behind discrete math.
Peggy Fisher shows you how to manipulate sets of data, write proofs and truth tables, analyze data sequences, and visualize data using graph theory.
Challenges at the end of every chapter allow you to test your knowledge.
By the end of the course, you should be able to make the leap from theory to using discrete math in practice: saving time and resulting in code that's cleaner and easier to maintain in the long run.

Topics include:

- Real-world discrete math
- Objects as sets
- Set notation and operations
- Standard machine language (SML) setup
- Working with data types, strings, and functions in SML
- Analyzing data sequences
- Writing truth tables
- Identifying and evaluating predicates
- Validating arguments
- Writing proofs: subset, conditional, and biconditional proofs
- Visualizing data with graphs
- Advanced discrete math techniques

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369.4 MB

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Lynda - Foundations of Programming - Discrete Mathematics