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Computational Mathematics

Description

in the first part of this course we will have introductory topics about mathematical theory:

  • Basic mathematics
  • Modular arithmetic

After that, in each lesson, we will initially look at some topics about mathematics. We will describe it, look at some examples of its applications, and some theorems about it. So we will see how it fits into computing by learning some algorithms that relate to this topic and looking at some examples of computational problems that can be solved using these algorithms. Some of the topics we will see in this part of the course will be:

  • Euclidean algorithm
  • Bit manipulation
  • Sieve of Erastosthenes
  • Bisection Method

Details

40h estimated workload

14 lessons.

12 programming exercises.

Prerequisites

Before starting this course, we recommend you to finish all course above this one on the courses page.

If you want to skip some courses, you can do it at your own risk. However, we highly recommend that you complete at least the following courses before starting this one.

Course Image

Introduction to Programming

Certificate

Complete all the lessons in this course to unlock your certificate.

Introduction

Lesson Icon1

Introduction

Text

4 min

+ 10 XP
Lesson Icon2

Basic Mathematics

Text

17 min

+ 10 XP
Lesson Icon3

Modular Arithmetic

Text

14 min

+ 10 XP
Lesson Icon4

Mathematical Induction

Text

18 min

+ 10 XP

Simple Techniques

Lesson Icon1

Euclidean Algorithm

Text

14 min

+ 10 XP
Lesson Icon2

Sequenced GDC

Practical Exercise

20 min

+ 10 XP
Lesson Icon3

Gymkhana

Practical Exercise

90 min

+ 10 XP
Lesson Icon4

Extended Euclidean Algorithm

Text

17 min

+ 10 XP

Primality

Lesson Icon1

Primality Test

Text

7 min

+ 10 XP
Lesson Icon2

Is it Prime?

Practical Exercise

30 min

+ 10 XP
Lesson Icon3

Prime Numbers Smaller Than a Given Number

Practical Exercise

20 min

+ 10 XP
Lesson Icon4

Sieve of Eratosthenes

Text

14 min

+ 10 XP

Especial Topics

Lesson Icon1

Binomial Coefficients

Text

33 min

+ 10 XP
Lesson Icon2

Binomials

Practical Exercise

20 min

+ 10 XP
Lesson Icon3

Bisection Method

Text

21 min

+ 10 XP
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