Basic Math: Derivatives

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Basic Math: Derivatives

Instructor: Santiago Moll Lopez

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6 modules

Gain insight into a topic and learn the fundamentals.

Beginner level

Recommended experience

2 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

6 modules

Gain insight into a topic and learn the fundamentals.

Beginner level

Recommended experience

2 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

What you'll learn

The concept of function and operations with functions.
The definition of derivative and its properties.
The calculation of maxima and minima of functions.
The maximum and minimum conditions.

Skills you'll gain

Details to know

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There are 6 modules in this course

This course provides a comprehensive overview of the fundamental principles of differential calculus. It is designed for students in their early university years who require a solid grounding in mathematics. The primary goal is to explore key concepts related to functions and derivatives, along with their practical applications.

What's included

9 readings8 assignments6 plugins

9 readings Total 38 minutes

Welcome! 3 minutes
Course slides 10 minutes
Module 1 introduction 3 minutes
Domain and Range 3 minutes
Graphs 2 minutes
Polynomial Functions 1 minute
Graphs of Functions 2 minutes
Continuity 2 minutes
Fundamental Ideas Unit 1 12 minutes

8 assignments Total 100 minutes

Introduction to Functions 4 minutes
Domain and Range 6 minutes
Graphs of Functions 10 minutes
Polynomial Functions 10 minutes
Examples of Functions 10 minutes
Continuity 10 minutes
Practice Test 20 minutes
Unit 1 Exam 30 minutes

6 plugins Total 85 minutes

Introduction to Functions 13 minutes
Domain and Range 14 minutes
Graphs of Functions 15 minutes
Polynomial Functions 15 minutes
Graphs of Functions 14 minutes
Continuity 14 minutes

What's included

6 readings7 assignments5 plugins

6 readings Total 21 minutes

Origin of the Derivative 1 minute
Definition of Derivatives 2 minutes
Elementary Derivatives and Properties 3 minutes
Differentiation Rules 3 minutes
Product and Quotient rule 2 minutes
Fundamental Ideas Unit 2 10 minutes

7 assignments Total 95 minutes

Introduction and Origins 10 minutes
Definition of Derivatives 10 minutes
Elementary Derivatives and Properties 10 minutes
Differentiation Rules 10 minutes
Product and Quotient rule 10 minutes
Practice Test 15 minutes
Unit 2 Exam 30 minutes

5 plugins Total 67 minutes

Introduction and Origins 14 minutes
Definition of Derivatives 14 minutes
Elementary Derivatives and Properties 14 minutes
Differentiation Rules 15 minutes
Product and Quotient rule 10 minutes

What's included

5 readings6 assignments4 plugins

5 readings Total 22 minutes

The Chain Rule 2 minutes
Chain Rule Applied to Trigonometric Functions 2 minutes
Chain Rule Applied to Exponential and Logarithmic Functions 1 minute
Chain Rule Applied to Inverse Trigonometric Functions 2 minutes
Fundamental Ideas Unit 3 15 minutes

6 assignments Total 85 minutes

Chain Rule and Its Application to the Calculation of Derivatives 10 minutes
Chain Rule Applied to Trigonometric Functions 10 minutes
Chain Rule Applied to Exponential and Logarithmic Functions 10 minutes
Chain Rule Applied to Inverse Trigonometric Functions 10 minutes
Practice Test 15 minutes
Unit 3 Exam 30 minutes

4 plugins Total 52 minutes

Chain Rule and Its Application to the Calculation of Derivatives 15 minutes
Chain Rule Applied to Trigonometric Functions 10 minutes
Chain Rule Applied to Exponential and Logarithmic Functions 15 minutes
Chain Rule Applied to Inverse Trigonometric Functions 12 minutes

What's included

7 readings7 assignments5 plugins

7 readings Total 44 minutes

Tangent Line 2 minutes
Tangent Line 15 minutes
Successive Derivatives and Taylor Polynomials 3 minutes
Taylor Polynomial 1 minute
Theorems and Derivatives of Implicit Functions 2 minutes
L'Hôpital's Rule 1 minute
Fundamental Ideas Unit 4 20 minutes

7 assignments Total 85 minutes

Tangent Line 10 minutes
Successive Derivatives and Taylor Polynomials 10 minutes
Taylor Polynomial 10 minutes
Theorems and Derivatives of Implicit Functions 10 minutes
L'Hôpital's Rule 10 minutes
Practice Test 15 minutes
Unit 4 Exam 20 minutes

5 plugins Total 80 minutes

Tangent Line 8 minutes
Successive Derivatives and Taylor Polynomials 25 minutes
Successive Derivatives and Taylor Polynomial 2 12 minutes
Theorems and Derivatives of Implicit Functions 20 minutes
L'Hôpital's Rule 15 minutes

What's included

4 readings5 assignments4 plugins

4 readings Total 23 minutes

Growth and Decrease 3 minutes
Maxima and Minima 2 minutes
Criteria of the First and Second Derivatives 3 minutes
Fundamental Ideas Unit 5 15 minutes

5 assignments Total 75 minutes

Growth and Decrease 10 minutes
Maxima and Minima 10 minutes
Concavity and criteria of the second derivative. 10 minutes
Practice Test 15 minutes
Unit 5 Exam 30 minutes

4 plugins Total 76 minutes

Growth and Decrease 17 minutes
Maxima and Minima 20 minutes
Criteria of the First and Second Derivatives 14 minutes
Concavity and criteria of the second derivative. 25 minutes

What's included

2 readings1 assignment

Instructor

Santiago Moll Lopez

Universitat Politècnica de València

4 Courses 455 learners

Offered by

Universitat Politècnica de València

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