100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
MAT3707 Exam pack 2024(Questions and answers) R48,05
Add to cart

Exam (elaborations)

MAT3707 Exam pack 2024(Questions and answers)

 12 views  1 purchase

MAT3707 Exam pack 2024(Questions and answers) With accurate answers and assurance that they are in the exam.

Preview 4 out of 69  pages

  • August 27, 2024
  • 69
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
All documents for this subject (5)
avatar-seller
gabrielmusyoka940
MAT3707 EXAM PACK
2024

QUESTIONS AND
ANSWERS
FOR ASSISTANCE CONTACT
EMAIL:gabrielmusyoka940@gmail.com

, lOMoARcPSD|31863004




Department of Mathematical Sciences




Discrete Mathematics
Only study guide for
MAT3707




University of South Africa

, lOMoARcPSD|31863004




iii MAT3707/1




Contents

The purpose of this study guide iv

Introduction to Discrete Mathematics v


I GRAPH THEORY 1

1 Introduction to graphs 3

2 Planar graphs 12

3 Euler cycles and Hamilton circuits 21

4 Graph Colouring 29

5 Trees 34

6 Minimal spanning trees 37


II ENUMERATIVE COMBINATORICS 40

7 Basic counting 42

8 Binomial identities 47

9 Generating functions 50

10 Exponential generating functions 55

11 Recurrence relations 57

12 The inclusion-exclusion formula 62




Downloaded by Gabriel Musyoka (gabrielmusyoka940@gmail.com)

, lOMoARcPSD|31863004




iv




The purpose of this study guide
This study guide shows you

• which parts of the textbook you need to study
• which definitions you should learn
• which theorems you should be able to prove
• which types of problems you should be able to solve
• common errors that are easy to avoid

Throughout this study guide we repeatedly refer to the prescribed book, which we abbreviate as Tuck

Tucker, Alan.2012.Applied Combinatorics.
6th edition.New York:John Wiley & Sons.

Note that only some terminology, definitions, theorems and corollaries of Tucker are, where deemed
sary,repeated in the study guide.
For each study unit you should read the indicated sections of Tucker,
using the “What to look out for” section in the study unit as
Once
guide.
you have mastered the material in
a study unit, you should immediately start doing the relevant problems in the assignments given in T
Letter 101.The amount of time that should be spent on each study unit differs from individual
to indi-
vidual.However, you should organize your studies around the closing dates for sending in the assignm
These dates are also indicated in Tutorial Letter 101.
Only after you have done the exercises in the assignments and you feel that you need to do more exe
should you look at the exercises found in Tucker.




Downloaded by Gabriel Musyoka (gabrielmusyoka940@gmail.com)

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying this summary from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller gabrielmusyoka940. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy this summary for R48,05. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

52355 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy summaries for 14 years now

Start selling
R48,05  1x  sold
  • (0)
Add to cart
Added