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Since October 2023
Instructor since October 2023
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Do you want to pass Calculus of a variable? learn with me!
From 17.86 £ /h
This course develops the basic theory of differential and integral calculus of real functions of a real variable and its main applications.
Among them, the rates of change, optimization problems in a real variable, the drawing of graphs of functions, integration techniques, area under a curve and calculation of volumes of surfaces of revolution.
Broadly speaking, the course begins with an introduction to the concept of function, the types of basic functions, the domain and range of a function.
and its graph. Then, the concepts of limit and continuity are presented, leading us to the definition of derivative as a limit and its interpretations.
both geometric and physical. We work with the properties of derivatives and their calculation for algebraic and transcendent functions, as well as the
plotting curves and solving optimization problems. It continues with the indefinite integral (antiderivative), as an inverse operation to the differentiation, the integral is presented
indefinite set of algebraic and transcendent functions, as well as the main integration techniques. The definite integral is studied, the fundamental theorems
of calculus and some applications in which definite integration, supported by indefinite integration methods.
Finally, with this course you will be able to solve mathematical problems that appear on a daily basis in engineering, showing a correct and systematic understanding of the key concepts and knowing how to interpret the results obtained.
Among them, the rates of change, optimization problems in a real variable, the drawing of graphs of functions, integration techniques, area under a curve and calculation of volumes of surfaces of revolution.
Broadly speaking, the course begins with an introduction to the concept of function, the types of basic functions, the domain and range of a function.
and its graph. Then, the concepts of limit and continuity are presented, leading us to the definition of derivative as a limit and its interpretations.
both geometric and physical. We work with the properties of derivatives and their calculation for algebraic and transcendent functions, as well as the
plotting curves and solving optimization problems. It continues with the indefinite integral (antiderivative), as an inverse operation to the differentiation, the integral is presented
indefinite set of algebraic and transcendent functions, as well as the main integration techniques. The definite integral is studied, the fundamental theorems
of calculus and some applications in which definite integration, supported by indefinite integration methods.
Finally, with this course you will be able to solve mathematical problems that appear on a daily basis in engineering, showing a correct and systematic understanding of the key concepts and knowing how to interpret the results obtained.
Extra information
You must have your own materials (calculator, pencils, pens, markers, erasers/correctors, sheets, notebook, etc.). It is recommended to have on hand notes, slides, course guide book/brochure, exams and lessons taken or from previous courses and any class materials you have received.
Location
At student's location :
- Around Guayaquil, Ecuador
About Me
I have more than 10 years of experience teaching the subjects of physics, algebra, trigonometry, pre-calculus and calculus of one variable. Additionally, as a result of my undergraduate studies in Telecommunications Engineering, I have experience teaching electrical engineering subjects, such as calculus of several variables, electrical circuits and digital systems. My professional experience has been developed mainly through personalized teaching. I focus on adapting content to the individual needs of students, using a variety of methods such as practical exercises, demonstrations and everyday examples. I have worked with students in their final years of school, university students in their first semesters, and students from technological institutes. I have also provided teaching services to educational companies through service provision contracts.
Education
Escuela Superior Politécnica del Litoral, ESPOL. Faculty of Electrical and Computer Engineering. Electronics and Telecommunications Engineering Degree.
Experience / Qualifications
I have more than 10 years of experience teaching the subjects of physics, algebra, trigonometry, pre-calculus and calculus of one variable.
Age
Adults (18-64 years old)
Student level
Intermediate
Duration
60 minutes
The class is taught in
Spanish
English
Skills
Availability of a typical week
(GMT -05:00)
New York
At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
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