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Trigonometry course from scratch, learn with an expert

From 32.91 C$ /h

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.

Location

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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.

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

Children (7-12 years old)

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

45 minutes

60 minutes

90 minutes

120 minutes

The class is taught in

Spanish

English

Skills

Math

Sati test preparation

Toefl test preparation

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

Integration course from scratch for students and teachers

27.19 C$ /h

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

Math and Physics tutoring at any level. I have more than 20 years of experience.

27.19 C$ /h

I'm Miguel Ángel, a Master of Science in Mathematics with extensive teaching experience. I provide personalized tutoring and tutoring classes in Mathematics and Physics, both online and in-person, tailored to any academic level.

I specialize in helping students understand everything from basic to advanced topics with clear explanations, ongoing support, and strategies that actually work.

What do I offer?

100% personalized advice

Support with homework, exams, and projects

Preparation for midterms and finals

Practical and theoretical classes

I work with all academic levels: secondary, pre-university, university, and graduate.

Subjects I cover

Basic Mathematics and Geometry

Differential and Integral Calculus

Linear and Nonlinear Algebra

Series and Differential Equations

Complex Variable

Numerical Mathematics

Probabilities and Statistics

Laplace, Fourier and Z transforms

Physics I, II and III

Edward

I am a retired math teacher from Buffalo, NY with 30+ year's experience teaching mathematics ranging from Middle School to College level. I specialize in Pre-Algebra, Algebra, Geometry, and Trigonometry on a Middle & High School, as well as College level. Initially we will assess the educational needs and put together a plan that will allow the student to be successful in math. I’m extremely confident that I can help improve math skills, assist with homework, and improve test taking strategies

The benefits of one-on-one tutoring include:

Builds confidence and self-esteem
Provides individualized academic support and advocacy
Improves student work habits
Creates motivation to succeed
Increases knowledge and understanding of subject matter

References available upon request

Aaron

I tutor all highschool level math classes except geometry, (Algebra, Pre-Calc, Calculus, and the AP versions of these classes). I also tutor all of the calculus classes usually covered in college (Calc1, Calc2, Calc3, and Differential Equations) in addition to the other college math courses (Pre-calc, Algebra, etc.)

Edward

Aaron

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