Basic Math: Numbers and Terminology

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Basic Math: Numbers and Terminology

Instructors: Antonio José Guirao Sánchez

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4 modules

Gain insight into a topic and learn the fundamentals.

Beginner level

Recommended experience

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

4 modules

Gain insight into a topic and learn the fundamentals.

Beginner level

Recommended experience

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

What you'll learn

The concept of a set and its operations and the elementary mathematical notation
The different types of numbers: natural, integers, rational, irrational and real numbers and the basic concepts of complex numbers

Skills you'll gain

Details to know

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There are 4 modules in this course

This course provides foundational mathematical preparation for students beginning their studies in engineering and related disciplines. Throughout the course, you will explore:

1. The definition and operations of sets 2. The use of basic mathematical notation 3. The classification and properties of number systems, including natural, integer, rational, irrational, and real numbers 4. An introduction to the fundamental ideas of complex numbers By the end, you will have a solid grounding in essential mathematical concepts that support further academic work in technical and scientific fields.

What's included

4 readings6 assignments5 plugins

4 readings Total 21 minutes

Download the course slides 2 minutes
Presentation 2 minutes
Fundamental Ideas Module 1 15 minutes
Preparation 2 minutes

6 assignments Total 25 minutes

Mathematical notation 2 minutes
Sets I 2 minutes
Sets II 2 minutes
Sets III 2 minutes
Operations between sets 2 minutes
Module 1 exam 15 minutes

5 plugins Total 42 minutes

Mathematical notation 9 minutes
Sets I 8 minutes
Sets II 9 minutes
Sets III 8 minutes
Operations between sets 8 minutes

What's included

2 readings9 assignments11 plugins

2 readings Total 22 minutes

Fundamental Ideas Module 2 20 minutes
Preparation 2 minutes

9 assignments Total 55 minutes

The natural numbers 6 minutes
The integers numbers 6 minutes
Rational numbers 8 minutes
The real numbers 2 minutes
Advanced operations I 2 minutes
Advanced operations II 2 minutes
Classification of numerical sets 2 minutes
Notable identities 2 minutes
Module 2 exam 25 minutes

11 plugins Total 109 minutes

Numerical sets 3 minutes
The natural numbers 11 minutes
The integers numbers 13 minutes
Rational numbers 16 minutes
Application example 10 minutes
The real numbers 9 minutes
Advanced operations I 12 minutes
Advanced operations II 11 minutes
Application example 6 minutes
Classification of numerical sets 9 minutes
Notable identities 9 minutes

What's included

7 readings9 assignments10 plugins

7 readings Total 150 minutes

OPTIONAL: Applying what you've learned 120 minutes
To consider 2 minutes
To consider 2 minutes
Starting a new section 2 minutes
We continue 2 minutes
Fundamental Ideas Module 3 20 minutes
Preparation 2 minutes

9 assignments Total 49 minutes

Complex numbers: Introduction 2 minutes
Complex numbers: Definition and addition 4 minutes
Complex numbers: Product 2 minutes
Complex numbers: Inverse and quotient 6 minutes
Complex numbers: Conjugate and modulus 3 minutes
Complex numbers: Argument 6 minutes
Complex numbers: Expressions I 3 minutes
Complex numbers: Expressions II 3 minutes
Module 3 exam 20 minutes

10 plugins Total 88 minutes

Complex numbers: Introduction 7 minutes
Complex numbers: Definition and addition 11 minutes
Complex numbers: Product 7 minutes
Complex numbers: Inverse and quotient 15 minutes
Complex numbers: Conjugate and modulus 8 minutes
Complex numbers: Argument 9 minutes
Complex numbers: Calculation of arguments 13 minutes
Complex numbers: Exercise solutions 5 minutes
Complex numbers: Expressions I 8 minutes
Complex numbers: Expressions II 5 minutes

What's included

2 readings1 assignment

Instructors

Antonio José Guirao Sánchez

Universitat Politècnica de València

4 Courses 542 learners

Offered by

Universitat Politècnica de València

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