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Math 108: Discrete Mathematics

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Course Summary

Math 108: Discrete Mathematics has been evaluated and recommended for 3 semester hours and may be transferred to over 2,000 colleges and universities. With this self-paced course, you get engaging lessons, expert instructors who make even the most challenging math and computer science topics simple, and an excellent resource for getting a head start on your degree.
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11 chapters in Math 108: Discrete Mathematics

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
  • Comprehensive test covering all topics
  • Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 11)}}
Ch 1. Introduction to Logic & Proofs {{cp.topicAssetIdToProgress[470875].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Critical Thinking and Logic in Mathematics Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice Score: {{cp.lessonAssetIdToProgress[2422].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2422].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2422].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2422].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Logical Fallacies: Appeals to Ignorance, Emotion or Popularity Score: {{cp.lessonAssetIdToProgress[2423].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2423].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2423].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2423].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Propositions, Truth Values and Truth Tables Score: {{cp.lessonAssetIdToProgress[2373].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2373].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2373].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2373].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Logical Math Connectors: Conjunctions and Disjunctions Score: {{cp.lessonAssetIdToProgress[2374].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2374].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2374].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2374].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Conditional Statements in Math Score: {{cp.lessonAssetIdToProgress[2375].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2375].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2375].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2375].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Logic Laws: Converse, Inverse, Contrapositive & Counterexample Score: {{cp.lessonAssetIdToProgress[2376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2376].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2376].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Direct Proofs: Definition and Applications Score: {{cp.lessonAssetIdToProgress[14896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14896].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14896].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Tautology in Math: Definition & Examples Score: {{cp.lessonAssetIdToProgress[20229].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20229].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20229].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20229].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(1, 11)}}
Ch 2. Sets & Functions in Discrete Math {{cp.topicAssetIdToProgress[470877].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Mathematical Sets: Elements, Intersections & Unions Score: {{cp.lessonAssetIdToProgress[2378].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2378].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2378].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2378].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Universal Set in Math: Definition, Example & Symbol Score: {{cp.lessonAssetIdToProgress[9147].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9147].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[9147].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9147].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Complement of a Set in Math: Definition & Examples Score: {{cp.lessonAssetIdToProgress[9137].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9137].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[9137].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9137].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty) Score: {{cp.lessonAssetIdToProgress[2379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2379].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2379].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Partially Ordered Sets & Lattices in Discrete Mathematics Score: {{cp.lessonAssetIdToProgress[470879].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470879].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470879].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470879].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - What is a Function: Basics and Key Terms Score: {{cp.lessonAssetIdToProgress[154].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[154].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[154].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[154].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Injections, Surjections & Bijections Score: {{cp.lessonAssetIdToProgress[294551].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294551].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[294551].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[294551].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 11)}}
Ch 3. Sequences, Sums & Induction {{cp.topicAssetIdToProgress[470881].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Mathematical Sequence? Score: {{cp.lessonAssetIdToProgress[633].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[633].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[633].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[633].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Introduction to Sequences: Finite and Infinite Score: {{cp.lessonAssetIdToProgress[18808].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18808].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[18808].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18808].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Find and Classify an Arithmetic Sequence Score: {{cp.lessonAssetIdToProgress[634].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[634].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[634].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[634].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Finding and Classifying Geometric Sequences Score: {{cp.lessonAssetIdToProgress[635].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[635].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[635].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[635].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Summation Notation and Mathematical Series Score: {{cp.lessonAssetIdToProgress[636].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[636].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[636].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[636].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - How to Calculate an Arithmetic Series Score: {{cp.lessonAssetIdToProgress[637].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[637].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[637].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[637].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Calculate a Geometric Series Score: {{cp.lessonAssetIdToProgress[639].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[639].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[639].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[639].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Arithmetic and Geometric Series: Practice Problems Score: {{cp.lessonAssetIdToProgress[1303].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[1303].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[1303].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[1303].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Mathematical Induction: Uses & Proofs Score: {{cp.lessonAssetIdToProgress[18821].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18821].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[18821].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18821].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Proof by Induction: Steps & Examples Score: {{cp.lessonAssetIdToProgress[60644].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60644].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[60644].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60644].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(3, 11)}}
Ch 4. Counting Rules, Combinations & Permutations {{cp.topicAssetIdToProgress[470883].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Calculating Possible Outcomes: Definition & Formula Score: {{cp.lessonAssetIdToProgress[9132].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9132].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[9132].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9132].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Combinatorics & the Pigeonhole Principle Score: {{cp.lessonAssetIdToProgress[39202].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[39202].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[39202].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[39202].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Calculate a Permutation Score: {{cp.lessonAssetIdToProgress[2397].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2397].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2397].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2397].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Calculate the Probability of Permutations Score: {{cp.lessonAssetIdToProgress[2398].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2398].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2398].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2398].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Circular Permutation: Formula & Examples Score: {{cp.lessonAssetIdToProgress[28056].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28056].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[28056].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28056].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Math Combinations: Formula and Example Problems Score: {{cp.lessonAssetIdToProgress[2395].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2395].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2395].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2395].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Calculate the Probability of Combinations Score: {{cp.lessonAssetIdToProgress[2396].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2396].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2396].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2396].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(4, 11)}}
Ch 5. Discrete Probability {{cp.topicAssetIdToProgress[470885].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Random Variables: Definition, Types & Examples Score: {{cp.lessonAssetIdToProgress[14796].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14796].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14796].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14796].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Finding & Interpreting the Expected Value of a Discrete Random Variable Score: {{cp.lessonAssetIdToProgress[14798].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14798].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14798].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14798].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Developing Discrete Probability Distributions Theoretically & Finding Expected Values Score: {{cp.lessonAssetIdToProgress[14799].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14799].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14799].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14799].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Developing Discrete Probability Distributions Empirically & Finding Expected Values Score: {{cp.lessonAssetIdToProgress[14800].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14800].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14800].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14800].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Dice: Finding Expected Values of Games of Chance Score: {{cp.lessonAssetIdToProgress[20963].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20963].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20963].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20963].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Blackjack: Finding Expected Values of Games of Chance with Cards Score: {{cp.lessonAssetIdToProgress[21104].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21104].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[21104].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21104].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Poker: Finding Expected Values of High Hands Score: {{cp.lessonAssetIdToProgress[63808].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[63808].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[63808].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[63808].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Poker: Finding Expected Values of Low Hands Score: {{cp.lessonAssetIdToProgress[63809].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[63809].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[63809].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[63809].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Lotteries: Finding Expected Values of Games of Chance Score: {{cp.lessonAssetIdToProgress[20964].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20964].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20964].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20964].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Comparing Game Strategies Using Expected Values: Process & Examples Score: {{cp.lessonAssetIdToProgress[14802].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14802].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14802].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14802].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - How to Apply Discrete Probability Concepts to Problem Solving Score: {{cp.lessonAssetIdToProgress[14803].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14803].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14803].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14803].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(5, 11)}}
Ch 6. Binomial Probability {{cp.topicAssetIdToProgress[470887].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Binomial Experiments: Definition, Characteristics & Examples Score: {{cp.lessonAssetIdToProgress[14805].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14805].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14805].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14805].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Finding Binomial Probabilities Using Formulas: Process & Examples Score: {{cp.lessonAssetIdToProgress[14806].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14806].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14806].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14806].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Practice Problems for Finding Binomial Probabilities Using Formulas Score: {{cp.lessonAssetIdToProgress[14807].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14807].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14807].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14807].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Finding Binomial Probabilities Using Tables Score: {{cp.lessonAssetIdToProgress[14808].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14808].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14808].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14808].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Mean & Standard Deviation of a Binomial Random Variable: Formula & Example Score: {{cp.lessonAssetIdToProgress[14809].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14809].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14809].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14809].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Solving Problems with Binomial Experiments: Steps & Example Score: {{cp.lessonAssetIdToProgress[14810].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14810].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14810].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14810].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(6, 11)}}
Ch 7. Recursion & Advanced Counting {{cp.topicAssetIdToProgress[470889].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Recursive Functions: Definition & Examples Score: {{cp.lessonAssetIdToProgress[147450].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[147450].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[147450].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[147450].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What is a First-Order Linear Recurrence? - Definition & Uses Score: {{cp.lessonAssetIdToProgress[304301].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[304301].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[304301].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[304301].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Solve Linear Recurrence Relations Score: {{cp.lessonAssetIdToProgress[470891].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470891].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470891].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470891].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Solving Divide-and-Conquer Recurrences Score: {{cp.lessonAssetIdToProgress[470893].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470893].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470893].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470893].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Generating Function in Discrete Math: Definition & Examples Score: {{cp.lessonAssetIdToProgress[470895].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470895].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470895].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470895].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Inclusion-Exclusion Principle in Combinatorics Score: {{cp.lessonAssetIdToProgress[344373].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[344373].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[344373].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[344373].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(7, 11)}}
Ch 8. Principles of Graphs & Graph Theory {{cp.topicAssetIdToProgress[470897].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Introduction to Graph Theory Score: {{cp.lessonAssetIdToProgress[32186].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32186].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32186].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32186].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Graph Theory Concepts and Terminology Score: {{cp.lessonAssetIdToProgress[32187].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32187].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32187].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32187].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Graphs in Discrete Math: Definition, Types & Uses Score: {{cp.lessonAssetIdToProgress[435069].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[435069].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[435069].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[435069].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Isomorphism & Homomorphism in Graphs Score: {{cp.lessonAssetIdToProgress[470899].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470899].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470899].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470899].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Euler Paths and Euler's Circuits Score: {{cp.lessonAssetIdToProgress[32188].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32188].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32188].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32188].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Mathematical Models of Euler's Circuits & Euler's Paths Score: {{cp.lessonAssetIdToProgress[32189].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32189].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32189].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32189].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Fleury's Algorithm for Finding an Euler Circuit Score: {{cp.lessonAssetIdToProgress[32191].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32191].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32191].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32191].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Euler's Theorems: Circuit, Path & Sum of Degrees Score: {{cp.lessonAssetIdToProgress[32190].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32190].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32190].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32190].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Eulerizing Graphs in Math Score: {{cp.lessonAssetIdToProgress[32192].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32192].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32192].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32192].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Hamilton Circuits and Hamilton Paths Score: {{cp.lessonAssetIdToProgress[32193].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32193].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32193].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32193].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Assessing Weighted & Complete Graphs for Hamilton Circuits Score: {{cp.lessonAssetIdToProgress[32197].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32197].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32197].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32197].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - Methods of Finding the Most Efficient Circuit Score: {{cp.lessonAssetIdToProgress[32196].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32196].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[32196].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32196].bestScoreQuestions}}  Take Quiz Optional
Lesson 13 - Coloring & Traversing Graphs in Discrete Math Score: {{cp.lessonAssetIdToProgress[470901].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470901].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470901].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470901].bestScoreQuestions}}  Take Quiz Optional
Lesson 14 - Adjacency Representations of Graphs in Discrete Math Score: {{cp.lessonAssetIdToProgress[470903].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470903].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470903].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470903].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(8, 11)}}
Ch 9. Trees in Discrete Mathematics {{cp.topicAssetIdToProgress[470905].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What are Trees in Discrete Math? - Definition, Types & Examples Score: {{cp.lessonAssetIdToProgress[470907].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470907].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470907].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470907].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Traverse Trees in Discrete Mathematics Score: {{cp.lessonAssetIdToProgress[470909].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470909].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470909].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470909].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Using Trees for Sorting: Benefits & Disadvantages Score: {{cp.lessonAssetIdToProgress[470911].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470911].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470911].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470911].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What is a Spanning Tree? - Properties & Applications Score: {{cp.lessonAssetIdToProgress[470913].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470913].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470913].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470913].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Minimum Spanning Tree: Algorithms & Examples Score: {{cp.lessonAssetIdToProgress[470915].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470915].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470915].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470915].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(9, 11)}}
Ch 10. Matrices in Discrete Math {{cp.topicAssetIdToProgress[470917].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Matrix? Score: {{cp.lessonAssetIdToProgress[561].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[561].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[561].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[561].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Matrix Notation, Equal Matrices & Math Operations with Matrices Score: {{cp.lessonAssetIdToProgress[21231].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21231].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[21231].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21231].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Solve Inverse Matrices Score: {{cp.lessonAssetIdToProgress[21232].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21232].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[21232].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21232].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Using Matrices to Complete Rotations Score: {{cp.lessonAssetIdToProgress[147388].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[147388].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[147388].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[147388].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Using Matrices to Complete Translations Score: {{cp.lessonAssetIdToProgress[57414].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57414].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[57414].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57414].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(10, 11)}}
Ch 11. Boolean Algebra & Logic Gates {{cp.topicAssetIdToProgress[470919].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What Is Boolean Logic? - Definition, Diagram & Examples Score: {{cp.lessonAssetIdToProgress[7776].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[7776].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[7776].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[7776].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Boolean Algebra: Rules, Theorems, Properties & Examples Score: {{cp.lessonAssetIdToProgress[20266].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20266].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[20266].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20266].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Boolean Logic, Operators & Expressions Score: {{cp.lessonAssetIdToProgress[14069].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14069].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14069].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14069].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What is a Karnaugh Map? - Definition & Examples Score: {{cp.lessonAssetIdToProgress[344367].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[344367].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[344367].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[344367].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Arithmetic Logic Unit (ALU): Definition, Design & Function Score: {{cp.lessonAssetIdToProgress[5532].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[5532].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[5532].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[5532].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - How to Design Logic Circuits & Logic Gates Score: {{cp.lessonAssetIdToProgress[470921].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470921].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470921].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470921].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - NAND, NOR & XOR Logic Gates Score: {{cp.lessonAssetIdToProgress[470923].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470923].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470923].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470923].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Simplify & Combine Logic Circuits Score: {{cp.lessonAssetIdToProgress[470925].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470925].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[470925].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[470925].bestScoreQuestions}}  Take Quiz Optional
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