Foundations of Programming - Discrete Mathematics

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Torrent File Content (52 files)

Lynda - Foundations of Programming - Discrete Mathematics
0. Introduction
00_01-Welcome-475390.mp4 -

24.33 MB

00_02-What you should know-475391.mp4 -

1.6 MB

00_03-Using the exercise files-475392.mp4 -

1.77 MB

1. Discrete Math Uses
01_01-Basics of discrete mathematics-475394.mp4 -

6.55 MB

01_02-Discrete math for programming-475395.mp4 -

6.56 MB

01_03-Real-world discrete math-475396.mp4 -

6.65 MB

01_04-Abstract discrete math-475397.mp4 -

4.3 MB

2. Sets
02_01-Objects as sets-475399.mp4 -

6.87 MB

02_02-Set notation-475400.mp4 -

8.12 MB

02_03-Set operations-475401.mp4 -

13.71 MB

02_04-Power sets-475402.mp4 -

9.92 MB

02_05-Sequences and sums-475403.mp4 -

15.73 MB

02_06-Recursion-475404.mp4 -

19.09 MB

02_07-Cardinality, disjointness, and partitions-475405.mp4 -

5.3 MB

02_08-Sets from Cartesian products-475406.mp4 -

6.59 MB

02_09-Challenge - Practice with sets-475407.mp4 -

1.93 MB

02_10-Solution - Practice with sets-475408.mp4 -

15.62 MB

3. Setting Up SML
03_01-Functional programming-475410.mp4 -

6.94 MB

03_02-Datatypes-475411.mp4 -

7.43 MB

03_03-Characters and strings-475412.mp4 -

7.54 MB

03_04-Recursive functions-475413.mp4 -

7.47 MB

03_05-Challenge - Learn SML-475414.mp4 -

3.59 MB

03_06-Solution - Create new data types-475415.mp4 -

3.77 MB

4. Analyzing Data Sequences
04_01-Use SML to create lists-475417.mp4 -

8.16 MB

04_02-Perform functions on lists-475418.mp4 -

6.94 MB

04_03-Create datatypes that use lists-475419.mp4 -

4.96 MB

04_04-Challenge - Model a lunch order-475420.mp4 -

2.48 MB

04_05-Solution - Model a lunch order-475421.mp4 -

6.97 MB

5. Effective Arguments and Defensible Decisions
05_01-Valid reasoning and inference-475423.mp4 -

16 MB

05_02-Truth tables-475424.mp4 -

10.45 MB

05_03-Identify and evaluate predicates-475425.mp4 -

15.39 MB

05_04-Conditional propositions-475426.mp4 -

12.44 MB

05_05-Valid arguments-475427.mp4 -

9.66 MB

05_06-Rules of inference-475428.mp4 -

10.15 MB

05_07-Prove logical equivalence-475429.mp4 -

9.83 MB

05_08-Challenge - Write truth tables-475430.mp4 -

2.24 MB

05_09-Solution - Write truth tables-475431.mp4 -

10.47 MB

6. Proofs Made Easy
06_01-Write a general outline for a proof-475433.mp4 -

91.39 MB

06_02-Write subset proofs-475434.mp4 -

6.81 MB

06_03-Evaluate conditional proofs-475435.mp4 -

20.6 MB

06_04-Understand biconditional proofs-475436.mp4 -

9.23 MB

06_05-Prove with mathematical induction-475437.mp4 -

24.61 MB

06_06-Challenge - Write a proof-475438.mp4 -

2 MB

06_07-Solution - Write a proof-475439.mp4 -

9.84 MB

7. Advanced Discrete Math Topics
07_01-Visualize data with graph theory-475441.mp4 -

5.62 MB

07_02-Network optimization with trees-475442.mp4 -

5.75 MB

07_03-Event probability-475443.mp4 -

8.03 MB

07_04-Cryptography-475444.mp4 -

45.42 MB

07_05-Challenge - Advanced techniques-475445.mp4 -

2.28 MB

07_06-Solution - Advanced techniques-475446.mp4 -

12.27 MB

Description

 							
  
  
  
 
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
statementsâ€”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.

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Foundations of Programming - Discrete Mathematics

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