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Mohamed F
- Rate S$39
- Response 1h
S$39/h
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1st lesson free
- Maths
- Algebra
- Physics
Math Teacher. PhD. I teach Calculus, Trigonometry, Geometry, Algebra, and SAT Math at high-school and college level.
- Maths
- Algebra
- Physics
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About Mohamed F
I completed doctoral graduate discipline in Nuclear Engineering from Alexandria University, Egypt. PhD. (1983). I am currently enrolled in Computer Science, bachelor degree at South New Hampshire, University, USA. I completed two years postdoctoral research with the National Science Council's Research Associateship, at Frank J. Seiler Research laboratory, Colorado Springs, Colorado (1986-1988). Throughout my undergraduate, graduate, and postgraduate education, I tutored in-person lessons and in public schools. In Bergen County Academies, I taught pre-college calculus and statistics to magnet students in . My style emphasizes probing the student’s level of engagement and prior knowledge of the subject matter, then tailoring the pace of progressive teaching on the basis of classroom and homework activities. Those two key parameters, homework and classroom interaction, guide me in modifying my subsequent lesson planning to the diverse population of students, with visual, concrete, and literal variation in perception. I taught young students in elementary level K-5 to 6, middle school students K-6 to 8, and senior high school level K-9 to 12. In each learning age, students progress from concrete perception of new knowledge, during the teaching of Algebra and Geometry, to the mature young adults, throughout calculus and statistics. In each learning age, helping aids, such as graphics, videos, and physical settings have always bridged the gap between the mindset of a new learner and the complexity of mathematical symbolism. Of paramount importance is the tracking of the homework on a weekly basis in order to avoid a learning gap that could be averted by monitoring the student's performance as lessons progress.
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About the lesson
- Primary
- Secondary
- Adult education
- +2
levels :
Primary
Secondary
Adult education
Masters
Doctorate
- English
- Arabic
All languages in which the lesson is available :
English
Arabic
Calculus I is a combination of Algebra and Geometry into a powerful tool of differentiation and integration of functions. The main purpose of Calculus is to represent the relationships of assemblies of numbers tied together by some rules of specific functions. Those relationships are Algebraic in nature, yet must represent Geometrical relevance in order to account for variations of numbers governed by the function. Calculus I falls into the following topics: 1. Limits and continuity: • Differentiability of functions • Continuity of functions: • The Intermediate Value Theorem. • Asymptotes: vertical, horizontal, and oblique. 2. Differentiation: • Definition of the derivative: rate of change and the slope of a tangent line. • Basic differentiation rules: Power rule, product rule, quotient rule, and chain rule. • Derivatives of trigonometric, exponential, logarithmic, and inverse functions. • Implicit and related rates of transcendental function • Mean Value Theorem: statement and applications. 3. Applications of differentiation: • Maxima, minima, inflection of function behavior • Optimization: maximum and minimum of functions in practical problems. • Related rates: multiple quantities are changing with respect to time. • L'Hôpital's Rule: A method for evaluating limits of indeterminate forms. 4. Integration: • Antiderivatives: indefinite integral of a function. • Definite integrals: the area under a curve. • Fundamental Theorem of Calculus: differentiation and integration. • Integration techniques: substitution and the reverse power rule. • Applications of definite integrals: Calculating areas and volumes. By the end of studying Calculus I, my emphasis focuses on the ability of the learner to grasp the concepts of instances of differentiation versus summative depiction of integration. The learner must acquire confidence in his/her ability to spot the purpose of differentiation as a local variation, while integration as an overall summation. That confidence is gained by solving problems and gauging the strength of Calculus in describing reality.
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- 5h: S$195
- 10h: S$390
online
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- 1hr
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