About this Course

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Intermediate Level
Approx. 17 hours to complete
English
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Intermediate Level
Approx. 17 hours to complete
English

Offered by

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Princeton University

Syllabus - What you will learn from this course

Week
1

Week 1

2 hours to complete

Combinatorial Structures and OGFs

2 hours to complete
7 videos (Total 73 min), 2 readings, 1 quiz
7 videos
Symbolic Method11m
Trees and Strings 14m
Powersets and Multisets 13m
Compositions and Partitions 15m
Substitution 6m
Exercises 3m
2 readings
Getting Started10m
Exercises from Lecture 110m
1 practice exercise
Combinatorial Structures and OGFs30m
Week
2

Week 2

2 hours to complete

Labelled Structures and EGFs

2 hours to complete
7 videos (Total 85 min), 1 reading, 1 quiz
7 videos
Symbolic Method for Labelled Classes 18m
Words and Strings 12m
Labelled trees 15m
Mappings 17m
Summary 4m
Exercises 2m
1 reading
Exercises from Lecture 210m
1 practice exercise
Labeled Structures and EGFs30m
Week
3

Week 3

2 hours to complete

Combinatorial Parameters and MGFs

2 hours to complete
5 videos (Total 84 min), 1 reading, 1 quiz
5 videos
Moment Calculations 24m
OBGF examples 17m
Labelled Classes 19m
Exercises 2m
1 reading
Exercises from Lecture 310m
1 practice exercise
Combinatorial Parameters and MGFs30m
Week
4

Week 4

3 hours to complete

Complex Analysis, Rational and Meromorphic Asymptotics

3 hours to complete
6 videos (Total 109 min), 1 reading, 1 quiz
6 videos
Complex Functions 13m
Rational Functions 19m
Analytic Functions and Complex Integration 23m
Meromorphic Functions 34m
Exercises 3m
1 reading
Exercises from Lecture 410m
1 practice exercise
Complex Analysis, Rational and Meromorphic Asymptotics30m

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