Fundamentals of differential and integral calculus and various modern and reliable solution methods

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From 25 £ /h

Differentiation: First, find the domain of the functions, whether they are polynomial, radical, rational, intrinsic, logarithmic, or exponential functions.
Second: Studying the limits of the previously mentioned functions
Third: Function connection
Fourth: Derivation (first and second derivatives)
Fourth: Critical points and the study of function variations

Extra information

Full readiness to write the lessons as they are written

Location

Online from Yemen

About Me

Perseverance in academic achievement and keeping up with the times
Breaking free from the constraints of challenges and difficult things
Making the profession smoother and more accessible
Avoiding extravagance and seeking better alternatives and methods of assistance
Thank you to everyone who follows me

Education

Faculty of Engineering, Republic of Yemen, Aden Governorate
Electronics Engineering and Mobile Programming
Electro-hydraulic engineering
Industrial software control
Design and manufacture of electrical and educational panels

Experience / Qualifications

Bachelor of Electrical Engineering
Electronic engineering
With a program
Industrial control
Electro-hydraulic engineering
Maintenance and operation of giant cranes and heavy equipment

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

The class is taught in

Arabic

English

Skills

High school entrance prep

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

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Course Outline:
1.1 Numbers, Functions, (In-)equalities, Polynomials, Rational Functions
1.2 Trigonometric Functions, Vectors in Two and Three Dimensions
1.3 Limits, Continuity, Introduction to Differentiation
1.4 Differentiation Rules and Theorems: Power Rule, Product Rule, Chain Rule
1.5 Derivatives of Exponential, Logarithmic, and Trigonometric Functions, Taylor Series
1.6 Implicit Differentiation and Derivatives of Inverse Functions
1.7 Intermediate Value Theorem, Critical Points, Maxima and Minima
1.8 First and Second Derivative Tests, Inflection Points
1.9 Antiderivatives, Indefinite Integrals, Integration by Substitution and by Parts
1.10 Definite Integrals and Their Applications (e.g., Area Between Curves, Related Rates)
1.11 Optimization, Related Rates, and Linear Differential Equations

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