**Teachers**

- Philip Bille, Contact: talk to me in person during class, office hours (Monday + Thursday 12.30-13.00).

**Exercise classes** Thursdays 8.00-9.45.

Class | Room | Study line | Type | Teaching Assistant |
---|---|---|---|---|

1 | 358/039 | BEng | Group Work/Danish | Mathias Miguel Thejsen |

2 | 358/040 | BEng | Group Work/Danish | Emil Toftegaard Gæde |

3 | 358/043 | BSc | Group Work/English | Tord Joakim Stordalen |

4 | 358/054 | BEng | Group Work/Danish | Katrine Bjørn Pedersen Thoft |

5 | 324/020 | BSc/BEng | Presentation and Discussion/English | Mads Okholm Bjørn |

6 | 324/030 | BSc | Group Work/Danish | Gustav Valdemar Fjorder |

7 | 324/040 | BSc | Group Work/Danish | Simon Rumle Tarnow |

8 | 324/060 | BSc | Group Work/Danish | Christoffer Irvall Rasmussen |

**Lectures** Thursdays 10.00-12.00

**Materials** "Introduction to Algorithms", 3rd edition (CLRS), Cormen, Leierson, Rivest, and Stein + notes. We encourage seeking out supplementary books and other sources for algorithms. Se suggestions here.

**CodeJudge** We use CodeJudge for testing code and correcting mandatory implementation exercises.

**Gradescope** We use Gradescope for correcting mandatory written exercises.

**The weekplan is preliminary** and may be updated during the course.

Week | Topics | Slides | Weekplan | Material | Algorithm Demos | Programming Demos |
---|---|---|---|---|---|---|

Warmup: Preparation, Programming Prerequisites, and Puzzles. | Warmup | Survival Guide · Programming Prerequisites | Factorial function | |||

Basic Concepts I: Introduction, Algorithms, Data Structures, Peaks. | 1x1 · 4x1 | Introduction | CLRS chap. 1 | Recursive Peak Algorithm | Peaks | |

Basic Concepts II: Searching, Sorting. | 1x1 · 4x1 | Searching and Sorting | CLRS chap. 2 | Binary Search · Insertion Sort · Merge · Mergesort | Binary Search | |

Basic Concepts III: Complexity, Asymptotic Notation, Empirical Analysis. | 1x1 · 4x1 | Analysis of Algorithms | CLRS chap. 3 | |||

Data Structures I: Stack, Queues, Linked Lists, Trees. | 1x1 · 4x1 | Introduction to Data Structures | CLRS intro to part III + chap. 10 | Stack with Array · Queue with Array · Dynamic Array 1 · Dynamic Array 2 | Linked List | |

Graph Algorithms I: Undirected Graphs, Representation, Searching, Modelling. | 1x1 · 4x1 | Introduction to Graphs | CLRS intro to part VI + chap. 22.1-22.4 + appendix B.4-B.5. | DFS · BFS | DFS | |

Graph Algorithms II: Directed Graph, Topological Sorting, Implicit Graphs. | 1x1 · 4x1 | Directed Graphs | CLRS intro to part VI + chap. 22.1-22.4 + appendix B.4-B.5. | Topological Sort | Topological Sort | |

Data Structures II: Priority Queues, Heaps. | 1x1 · 4x1 | Priority Queues and Heaps | CLRS chap. 6 + appendix B.5 | Bubble up and down | Heap | |

Data Structures III: Union-Find, Dynamic Connected Components. | 1x1 · 4x1 | Union-Find | CLRS chap. 21 except 21.4 + Algorithms, 4ed. chap. 1.5 | Quick Union · Weighted Quick Union | ||

Graph Algorithms III: Minimum Spanning Trees, Prims' Algorithm, Kruskal's Algorithm. | 1x1 · 4x1 | Minimum Spanning Trees | CLRS chap. 23. | Prims' Algorithm · Kruskal's Algorithm | ||

Graph Algorithms IV: Dijkstra's Algorithm, Shortest Paths in Weighted Graphs, Shortest Paths in DAGs. | 1x1 · 4x1 | Shortests Paths | CLRS chap. 24 except 24.1 and 24.4. | Dijkstras' Algorithm | ||

Data Structures V: Algorithm on Trees, Predecessor Problem, Binary Search Trees. | 1x1 · 4x1 | Binary Search Trees | CLRS chap. 12 except 12.4. | Binary Search Trees | ||

Data Structures IV: Dictionaries, Hashing. | 1x1 · 4x1 | Hashing | CLRS chap. 11 except 11.5. | Chained Hashing · Linear Probing | ||

Course Wrap-Up: Questions, Selected Exercises from an Old Exam, Advanced Courses in Algorithms. |

The course has mandatory exercises that must be passed inorder to attend the final exam. The mandatory exercises consist of written and implementation exercises:

**Written exercises** These are algorithmic challenges that must be answered in writing. These must be handed through Gradescope for correction by the TA's. Each written exercise is scored depending on the quality of your solution and your writing. It is a requirement for participation in the exam that you score at least 33 points in total in these exercises.

**Implementation exercises**
These are programming challenges that must be implemented and handed in through CodeJudge for automatic evaluation and scoring. It is a requirement for participation in the exam that you score at least 33 points in total in these exercises.

**Collaboration policy** All mandatory exercises are subject to the following collaboration policy. The exercises are individual. It is not allowed to collaborate on the exercises, except for discussing the text of the exercise with teachers and fellow students enrolled on the course in the same semester. Under no circumstances is it allowed to exchange, hand-over or in any other way communicate solutions or part of solutions to the exercises. It is not allowed to use solution from previous years, solutions from similar courses, or solutions found on the internet or elsewhere.

BSc | BEng |
---|---|

02105-2017 | 02326-2017 |

**What programming and mathematics requirements do I need for the course?** In general, you need an introductory course in programming and mathematics. Specifically, for programming you need only basic constructions such as conditional execution, loop, function calls, etc. See the programming prequisites under week 0 to test your programming skills. You can freely choose among standard imperative programming languages for the implementation exercises. For mathematics, the course uses and introduces basic topics from discrete mathematics and hence it is an advantage to have a course in it, but not a requirement.

**What is the language of the course?** The official language of the course is English. Hence the spoken language in lectures and the exam is in English. There are Danish exercise classes and your are free to hand in mandatory exercise and the exam in Danish.

** I need to quickly refresh my programming skills. What do you recommend?** We suggest the book "Introduction to Programming in Java", Sedgewick and Wayne. The book is compact, concise, and focused on the core technical aspects of programming. The books covers essentially all relevant material for the course in chapter 1, which is freely available at the homepage for the book.

**Which supplementary books/materials do you recommend?** We suggest the following:

- "Algorithm Design", Kleinberg and Tardos. Focus on algorithm design. Lacks some of data structures covered in the course.
- "Algorithms", Sedgewick and Wayne. Focus on implementation and many code examples.
- "Algorithms", Jeff Erickson. Excellent freely available online book.
- "Data structures and algorithms in Java", Goodrich and Tamassia.

**Do you provide solutions to exercises?**
Yes. We offer a personalized service for feedback on written exercises. You can submit *any* exercise on *any* weekplan at *any* point in time to *any* teacher. We will read it as soon as possible and provide detailed oral feedback.

**What does "give an algorithm" mean?**
It means, that you describe your solution in a short, precise, and unambigious manner, argue correctness of your solution, and analyze the complexity of your solution. Unless specified otherwise, the description should be in natural language and not pseudocode.

**Do you provide video recordings of lectures? **
No. We believe that efficient learning is achieved by more actively engaging with the material and exercises. Ideally, you should spend your time reading the material, working on exercises in groups, and discussing your solutions with your peers or teachers. If you want to watch videos of the material there are multiple sources available online for free covering almost all of the material in the course.

**I get error X when I submit my program to CodeJudge. What should I do?/How do I find the bug?/Help!** CodeJudge is for a final check of your code (does it produce the correct output for a given input (efficiently)?). To debug your code, construct small test examples and run them on your own computer.

**How should I use to fill in the templates for the written mandatory assignments to comply with the requirements?** We need to process your submission in the Gradescope system to efficiently grade your hand-ins and therefore it's essential that your closely follows requirement as stated in the exercise. If you do not follow the requirements you may risk having your hand-in being rejected. To produce your solution we highly recommend simply printing the template, filling it in by hand, and scanning it. Use one of the many excellent scanners available at campus or a good quality scanner app for your smartphone. Make sure that the quality of the scan is excellent. Ask your teachers for help if you are unsure about where to find a scanner or what a good quality smartphone scanner app is. Alternatively, there are numerous freely available tools for directly writing in the pdf you can use but it highly depends on your platform of choice. Ask your teachers for help if you are unsure about which tool to use.

**I didn't make the deadline for a mandatory exercise. Can I hand in later?** No. In special cases (e.g. illness) we can give an exemption. Talk to the course responsible during class or office hours.

**Why didn't you reply to the email about X I sent you?** We believe in direct face-to-face communication. This way we can quickly understand your issue and help you much faster. Talk to us during class or office hours.

**Do you provide an online forum for asking questions?** No. We believe that personal interaction is a much better to properly guide you. We offer personal guidance during all exercise sessions and office hours (see above).

**When and where is the exam?**
Please see the DTU exam schedule.

**I've successfully passed the mandatory assignments at an earlier point in time but did no pass the corresponding exam. Will I have to do mandatory exercises again to attend another exam?**
Yes. A new set of mandatory exercises must be succesfully passed in the period immediately before an exam. This is highly relevant preparation for the exam and if you are unable to solve the mandatory exerices you are likely unable to pass the exam.

**How does the re-exam work?**
The precise format is subject to change depending on the number of students and the current rules. Typically, the exam and mandatory assignments are very similar to those in the regular semester.