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Course content
Sections:
1
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Activities:
1
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Resources:
157
- Announcements
- 001 Welcome To Discrete Mathematics Y9Tx gitir
- 002 What Is Discrete Mathematics NVco gitir
- 003 Why Study Discrete Mathematics BG6L gitir
- 004 Who Should You Take Discrete Mathematics zVKt gitir
- 005 How To Obtain Your Free Textbook ka4e gitir
- 006 Mathematical Statements In Discrete Math 397Y gitir
- 008 Atomic And Molecular Statements How To Break Apart Complex Statements Xaka gitir
- 010 An Overview Of Implications wZ4Q gitir
- 012 Direct Proofs Of Implications M2HB gitir
- 014 What Is The Converse And The Contrapositive Of A Statement Si0L gitir
- 016 The Dreaded If And Only If Connective qNxv gitir
- 018 What Does It Mean To Be Necessary And Sufficient 7EhH gitir
- 020 What Exactly Are Free Variables and Predicates LXLh gitir
- 022 What Are Universal Quantifiers And Existential Quantifiers N4gu gitir
- 024 How To Properly Negate Quantifiers FmeX gitir
- 026 How To Unravel Implicit Quantifiers Or Hidden Quantifiers cBlz gitir
- 029 Introduction To Sets In Discrete Math MFZi gitir
- 031 An Overview Of Set Notation HtVY gitir
- 033 What Is Set Builder Notation HCmG gitir
- 035 A Complete Review Of Set Theory Notation 7epk gitir
- 037 Interpreting Relationships Between Sets 4Wl9 gitir
- 039 What Is The Power Set 1Zb2 gitir
- 041 Cardinality How To Count Elements Of Sets bj6p gitir
- 043 Operations On Sets Making New Sets From Old Sets k134 gitir
- 045 How To Combine Sets With The Cartesian Product Js1X gitir
- 047 Venn Diagrams A Complete Introduction 05iM gitir
- 051 What Are Functions In Discrete Math 3Vgb gitir
- 053 How To Interpret Functions With Set Theory Part One WdMF gitir
- 055 How To Interpret Functions With Set Theory Part Two xUGP gitir
- 057 What Are Recursively Defined Functions dBq6 gitir
- 059 Introduction To Surjective Injective And Bijective Functions 0YPA gitir
- 061 The Difference Between Injective And Surjective Functions iN1g gitir
- 063 Image And Inverse Image A Closer Look Into The Codomain HSFX gitir
- 065 A Complete List Of Function Definitions v0QC gitir
- 068 What Is A Relation Between Sets GODn gitir
- 070 Equivalence Relations Reflexive Symmetric And Transitive 5led gitir
- 072 Partially Ordered Sets Posets Asymmetry And Totally Ordered Sets Q67Q gitir
- 074 What Is The Additive Principle qxro gitir
- 076 What Is The Multiplicative Principle 7EwI gitir
- 078 How To Count Sets In Discrete Math V5bx gitir
- 080 Revisiting The Additive Principle With Sets hHTe gitir
- 082 Using The Cartesian Product To Interpret The Multiplicative Principle With Sets eyUB gitir
- 084 What Is The Principle Of Inclusion And Exclusion Cardinality Of A Set Union oa2s gitir
- 086 Computing The Cardinality Of A Union Between Three Sets FRjV gitir
- 089 Subsets Revisiting Set Theory f9ES gitir
- 091 What Are Bit Strings MKkx gitir
- 093 What Are Lattice Paths 3VKL gitir
- 095 An Introduction To Binomial Coefficients nZKv gitir
- 097 A Complete List Of Interpretations Of Binomial Coefficients wGPw gitir
- 099 What Is The Recurrence Relation For The Binomial Coefficient aCD3 gitir
- 101 A Deep Explanation Of Pascal s Triangle 6x1R gitir
- 104 An Introduction To Permutations In Discrete Math mDdV gitir
- 106 A Closer Look Into k Permutations Of n Elements ds5W gitir
- 108 The Closed Formula For The Binomial Coefficient DHqB gitir
- 111 What Are The Patterns In Pascal s Triangle Binomial Identities tKgM gitir
- 113 An Introduction To Combinatorial Proofs 1Vun gitir
- 115 Introduction To Stars And Bars Part One QOuC gitir
- 117 Introduction To Stars And Bars Part Two Kb3R gitir
- 121 Advanced Counting Using The Principle Of Inclusion And Exclusion ouOH gitir
- 123 How Do You Count Derangements EDZ3 gitir
- 125 An Introduction To Counting Functions With Unique Properties cLIP gitir
- 127 How To Count Surjective Functions Using The Principle Of Inclusion Exclusion T7zG gitir
- 129 How To Count Functions To Solve Problems From Different Contexts muWA gitir
- 134 How To Interpret Sequences g8bZ gitir
- 136 Closed Formulas For Sequences Versus Recursive Definitions G2fP gitir
- 138 Examples Of Sequences With Closed Formulas And Recursive Definitions 3WMc gitir
- 140 How To Construct Sequences Using Partial Sums vCr4 gitir
- 143 Introduction To Arithmetic Sequences KRtZ gitir
- 145 Introduction To Geometric Sequences ckum gitir
- 147 Computing Sums Of Arithmetic And Geometric Sequences K5pm gitir
- 149 Summing Arithmetic Sequences Reverse And Add UOLW gitir
- 151 Summing Geometric Sequences Multiply Shift And Subtract lHxk gitir
- 154 What Is Polynomial Fitting gPKB gitir
- 156 What Are Finite Differences 1C3N gitir
- 159 How To Solve Recurrence Relations j07n gitir
- 161 What Are Telescoping Sequences jPB8 gitir
- 163 Utilizing Iterations To Interpret Recurrence Relations Cu9V gitir
- 165 An Overview Of The Characteristic Root Technique jS5J gitir
- 167 What Is The Characteristic Polynomial And The Characteristic Equation 3xY7 gitir
- 169 How To Use The Characteristic Root Technique For Repeated Roots C4Hu gitir
- 172 An Introduction To Induction An Advanced Proving Technique nIKH gitir
- 174 How To Interpret The Base Case And The Inductive Case In Induction 7VmV gitir
- 176 How To Formalize Proofs In Discrete Math RBSn gitir
- 178 An Overview Of The Induction Proof Structure 2ekA gitir
- 180 Our First Example Of Using Mathematical Induction xLYY gitir
- 182 Our Second Example Of Using Mathematical Induction jguT gitir
- 184 Our Third Example Of Using Mathematical Induction EKwY gitir
- 186 A Warning About Mathematical Induction duJN gitir
- 188 Strong Induction An Introduction With Chocolate Bars EKT2 gitir
- 190 Using Strong Induction To Prove Statements About Chocolate Bars RJqg gitir
- 192 Using Strong Induction To Prove Natural Numbers Factor Into Products Of Primes zZI9 gitir
- 196 An Introduction To Arguments and Propositions In Mathematics vBrk gitir
- 198 What Are Truth Tables Interpreting Complex Statements With Truth Values hKLo gitir
- 200 What Is Logical Equivalence HIJC gitir
- 202 What Are De Morgan s Laws Ncm2 gitir
- 204 Using Truth Tables To Show How Implications Are Disjunctions 2iy8 gitir
- 206 The Negation Of The Negation Is Logically Equivalent To The Original gQPf gitir
- 208 What Does It Mean To Negate An Implication x9zQ gitir
- 210 Deductions How To Deduce Within A Proof Ojre gitir
- 212 Let s Go Beyond Propositions Joug gitir
- 215 What Is A Proof In Discrete Math 6lvv gitir
- 217 The Proof That There Are Infinitely Many Primes l2dB gitir
- 219 How To Create A Direct Proof Proving If n Is Even Then n 2 Is Even aYkw gitir
- 221 Creating A Proof By Contrapositive With An Example CGlW gitir
- 223 Creating A Proof By Contradiction Proving The Negative Of A Statement Is False E9lR gitir
- 225 Proof By Counterexample How To Proving A Statement Is NOT True 5XK7 gitir
- 227 How To Use Cases To Prove Statements JI7Q gitir
- 231 Introduction To Graphs And Graph Theory nfs9 gitir
- 233 What Is A Graph 6kpm gitir
- 235 What Are Isomorphic Graphs What Does It Mean To Be Isomorphic In This Context Soxk gitir
- 237 The Definition Of A Subgraph And An Induced Subgraph xQ4k gitir
- 239 An Overview Of Simple Graphs Multigraphs And Connected Graphs uBWV gitir
- 241 An Overview Of Complete Graphs And The Degree Of A Vertex xHjj gitir
- 243 The Handshaking Lemma With Examples dWBP gitir
- 245 Advanced Graphs Bipartite Graphs And Complete Bipartite Graphs qOpM gitir
- 247 A Complete List Of Important Definitions In Graph Theory zE7I gitir
- 250 What Are Trees And Why Are They Important Us34 gitir
- 252 Properties Of Trees Part One xGVH gitir
- 254 Properties Of Trees Part Two VQvZ gitir
- 256 Properties Of Trees Part Three tpof gitir
- 258 Breadth First Searches And Depth First Searches With Rooted Trees ZWQM gitir
- 260 An Overview Of Rooted Trees xTS0 gitir
- 262 What Are Spanning Trees WqhQ gitir
- 265 An Introduction To Planar Graphs Graphs That Don t Intersect Themselves dwG1 gitir
- 267 What Is Euler s Formula For Planar Graphs DODT gitir
- 269 The Complex Nature Of Non planar Graphs qM8b gitir
- 271 Interpreting Polyhedra With Graph Theory BwPc gitir
- 274 A Look Into Coloring Graphs In General 7kOb gitir
- 276 What Is The Four Color Theorem u6wE gitir
- 278 Cliques And The Clique Number In Graph Theory Brjo gitir
- 280 An Introduction To Coloring Graphs Brooks Theorem Ty34 gitir
- 282 Coloring Edges Of Graphs Instead Of Vertices w5bW gitir
- 284 An Introduction To Ramsey Theory h8Q6 gitir
- 287 Euler Paths And Circuits In Graph Theory Part One YBju gitir
- 289 Euler Paths And Circuits In Graph Theory Part Two cE4l gitir
- 291 Hamiltonian Paths A Look Into Very Special Paths On Graphs vlVE gitir
- 294 An Introduction To Matching In Bipartite Graphs C6cO gitir
- 296 Understanding Hall s Marriage Theorem u69E gitir
- 300 An Introduction To Generating Functions OMNZ gitir
- 302 How To Create A Generating Function Part One DbM1 gitir
- 304 How To Create A Generating Function Part Two j8hn gitir
- 306 What Is Differencing With Generating Functions burM gitir
- 308 Multiplication And Partial Sums pmpx gitir
- 310 How To Solve Recurrence Relations With Generating Functions c5Ki gitir
- 313 Introduction To Number Theory My Favorite Math Topic ZuIl gitir
- 315 What Is Divisibility Dividing versus Dividable kxWg gitir
- 317 A Formal Representation Of The Division Algorithm Riqs gitir
- 319 An Overview Of The Remainder Classes R9sO gitir
- 321 Introduction To The Congruence Modulo mod n alD5 gitir
- 323 What Are Properties Of Congruences In Number Theory jQns gitir
- 325 How To Properly Divide While Working With Congruences mod n zex8 gitir
- 327 How To Solve For Variables In Congruences hOMT gitir
- 329 Which Congruences Have No Solutions 04b8 gitir
- 331 A Complete Guide To Solving Linear Diophantine Equations Part One q11I gitir
- 333 A Complete Guide To Solving Linear Diophantine Equations Part Two bb1C gitir
- 336 Conclusion Lecture cRns gitir
- 337 Bonus Lecture Coupon Codes For Other Courses Updated 6 30 20 B6rp gitir