Calculus 1, 2, and 3, Differential Equations, Linear Algebra, Algebra, Pre Calculus, College Math, High School Math

From 68.69 C$ /h

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.)

Extra information

Bring any relevant assignments, previous tests/quizzes, and anything you would normally take to a math class.

Location

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At student's location :

Around Tolleson, AZ, United States

Online from United States

About Me

Hello! I am a current Math and Physics major at ASU and I have a passion for teaching math. I've found that teaching others and seeing them have the same realizations and breakthroughs I did when I was learning math is what motivates me to keep studying and sharing math with others.

Education

Completed Associates of Science at Estrella Mountain Community College, Currently enrolled at Arizona State University for Bachelor of Science in Math and Bachelors of Science in Physics.

Experience / Qualifications

STEM Ambassador: At EMCC I worked as a STEM Ambassador and tutored the Calculus sequence, linear algebra, and general college math 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

60 minutes

90 minutes

120 minutes

The class is taught in

English

Skills

Math

Algebra

Calculus

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

Miguel

5.0

(1)

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

Edward

5.0

(1)

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

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Contact Aaron