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

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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 -05:00)

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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Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

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*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

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Franco-British associate professor, author at CNED, 33 years of experience from middle school to scientific preparatory classes, supports you in the success of your project in English.

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