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Since January 2024
Instructor since January 2024
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Zero Course on Ordinary Differential Equations with Applications
From 21.47 C$ /h
Do you want to learn Differential Equations from scratch?
This course is for you!
What will you learn?
Basic concepts and what is a differential equation
Simple methods for solving ordinary differential equations
Practical applications in real life (physics, biology, economics)
Step-by-step exercises to help you understand everything easily
Who is it addressed to?
Students beginning advanced mathematics
Professionals who want to strengthen their foundations
Anyone interested in understanding these key tools
Why choose this course?
Clear and uncomplicated explanations
Personalized support during the course
Study material and practical exercises included
Don't wait any longer and take the first step toward mastering differential equations!
Reserve your spot now!
This course is for you!
What will you learn?
Basic concepts and what is a differential equation
Simple methods for solving ordinary differential equations
Practical applications in real life (physics, biology, economics)
Step-by-step exercises to help you understand everything easily
Who is it addressed to?
Students beginning advanced mathematics
Professionals who want to strengthen their foundations
Anyone interested in understanding these key tools
Why choose this course?
Clear and uncomplicated explanations
Personalized support during the course
Study material and practical exercises included
Don't wait any longer and take the first step toward mastering differential equations!
Reserve your spot now!
Extra information
Teaching materials, solved and suggested exercises. Videos included.
Location
At student's location :
- Around Glendale, AZ, United States
Online from United States
About Me
I am Miguel Ángel, a Master of Mathematical Sciences graduate with a solid track record teaching mathematics and physics at the university, high school, and professional levels. My passion is helping students understand the most complex concepts through a clear, structured approach tailored to each student's pace.
Throughout my career, I have worked with students of various levels, offering personalized tutoring, problem-solving, exam preparation, and ongoing support with assignments and projects. I specialize in areas such as Calculus, Algebra, Differential Equations, Probability, Statistics, Complex Variables, and Physics (Levels I, II, and III).
I work both in person and virtually, and I always strive to ensure that my classes not only clarify doubts but also strengthen students' confidence in their own abilities.
Throughout my career, I have worked with students of various levels, offering personalized tutoring, problem-solving, exam preparation, and ongoing support with assignments and projects. I specialize in areas such as Calculus, Algebra, Differential Equations, Probability, Statistics, Complex Variables, and Physics (Levels I, II, and III).
I work both in person and virtually, and I always strive to ensure that my classes not only clarify doubts but also strengthen students' confidence in their own abilities.
Education
I have a Bachelor's degree in Mathematics from the Universidad de Oriente, Santiago de Cuba, year 2005 and a Master's degree in Mathematical Sciences from the University of Havana, year 2017.
Experience / Qualifications
I have more than 20 years of experience teaching Mathematics and Physics. I worked as a professor at the Universidad de Oriente, Santiago de Cuba until 2019, then I moved to Mexico in 2022 and was at the Autonomous University of Guerrero, where I gave several lectures and courses.
Age
Adults (18-64 years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
90 minutes
120 minutes
The class is taught in
Spanish
English
Skills
Reviews
Availability of a typical week
(GMT -05:00)
New York
Online via webcam
At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
My name is Miguel Angel, and I offer tutoring and academic support in Mathematics and Physics. I'd be happy to help you with any courses you need in these subjects. I have over 25 years of experience preparing students of all levels.
Start of the Integration Course from scratch for students and teachers.
Course: Integration From Scratch
General Objective:
Guide the student from the basics to a solid mastery of indefinite and definite integrals, techniques, and applications.
Module 1: Previous Foundations and Motivation
Goals:
Understand the concept of area under the curve as a motivation for the integral.
Establish a basis with functions and derivatives.
Contents:
1. What is integration? (visual intuition)
2. Review of functions (linear, quadratic, exponential)
3. Derivative and its relationship with the integral
4. Introduction to the integration symbol
Exercises:
Identify areas under simple curves (visually).
Relate known derivatives with antiderivatives.
Module 2: Indefinite Integrals
Goals:
Learn to calculate antiderivatives of common functions.
Contents:
1. Definition of indefinite integral
2. Integration rules:
Constant
Powers
Addition/subtraction
3. Integration by substitution
4. Integration by parts (simple introduction)
Exercises:
15 graded exercises with feedback.
Module 3: Definite Integrals and Fundamental Theorem
Goals:
Calculate exact areas under curves using definite integrals.
Understand and apply the fundamental theorem of calculus.
Contents:
1. Definition of definite integral
2. Geometric interpretation
3. Properties (linearity, additivity)
4. Fundamental Theorem of Calculus
Exercises:
10 visual exercises + 10 algebraic exercises.
Module 4: Integration Techniques
Goals:
Use advanced techniques to integrate more complex functions.
Contents:
1. Trigonometric substitution
2. Partial fractions
3. Integration by parts (formal)
4. Numerical methods: trapezoidal rule
Exercises:
20 problems per technique, with guided solutions and free practice.
Module 5: Applications
Goals:
Apply integration to real-world problems.
Contents:
1. Calculation of areas between curves
2. Volume of solids of revolution
3. Work and energy
4. Physical and economic problems
Exercises:
10 practical problems with real-life context.
Module 6: Evaluation and Final Challenges
Goals:
Measure learning and reinforce skills.
Contents:
1. Final multiple-choice exam and development
2. Level-based challenges
3. Corrections in video or PDF
Additional resources:
Formula notebook
Bank of integrals
Explanatory videos
Downloadable PDFs with theory and exercises
Course: Integration From Scratch
General Objective:
Guide the student from the basics to a solid mastery of indefinite and definite integrals, techniques, and applications.
Module 1: Previous Foundations and Motivation
Goals:
Understand the concept of area under the curve as a motivation for the integral.
Establish a basis with functions and derivatives.
Contents:
1. What is integration? (visual intuition)
2. Review of functions (linear, quadratic, exponential)
3. Derivative and its relationship with the integral
4. Introduction to the integration symbol
Exercises:
Identify areas under simple curves (visually).
Relate known derivatives with antiderivatives.
Module 2: Indefinite Integrals
Goals:
Learn to calculate antiderivatives of common functions.
Contents:
1. Definition of indefinite integral
2. Integration rules:
Constant
Powers
Addition/subtraction
3. Integration by substitution
4. Integration by parts (simple introduction)
Exercises:
15 graded exercises with feedback.
Module 3: Definite Integrals and Fundamental Theorem
Goals:
Calculate exact areas under curves using definite integrals.
Understand and apply the fundamental theorem of calculus.
Contents:
1. Definition of definite integral
2. Geometric interpretation
3. Properties (linearity, additivity)
4. Fundamental Theorem of Calculus
Exercises:
10 visual exercises + 10 algebraic exercises.
Module 4: Integration Techniques
Goals:
Use advanced techniques to integrate more complex functions.
Contents:
1. Trigonometric substitution
2. Partial fractions
3. Integration by parts (formal)
4. Numerical methods: trapezoidal rule
Exercises:
20 problems per technique, with guided solutions and free practice.
Module 5: Applications
Goals:
Apply integration to real-world problems.
Contents:
1. Calculation of areas between curves
2. Volume of solids of revolution
3. Work and energy
4. Physical and economic problems
Exercises:
10 practical problems with real-life context.
Module 6: Evaluation and Final Challenges
Goals:
Measure learning and reinforce skills.
Contents:
1. Final multiple-choice exam and development
2. Level-based challenges
3. Corrections in video or PDF
Additional resources:
Formula notebook
Bank of integrals
Explanatory videos
Downloadable PDFs with theory and exercises
Show more
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