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Calculus

 If you're on a quest to conquer Calculus, look no further. I'm here to be your trusted guide on this exciting mathematical journey.

 Calculus is where math transforms into a thrilling adventure of understanding change and motion. Whether you're preparing for exams, navigating coursework, or simply curious about the fascinating world of advanced math, I'm here to help you succeed.

 In our tutoring sessions, we'll dive deep into Differential Calculus (predicting change) and Integral Calculus (summing it all up), the building blocks of Calculus. I'll break down complex concepts into manageable pieces, provide step-by-step guidance, and demonstrate how Calculus applies to real-world scenarios. Whether you're tackling limits, derivatives, integrals, or practical applications, I'm dedicated to ensuring your success.

 Ready to embark on this mathematical adventure together? Let's get started on your path to mastering high school Calculus. Contact me to schedule your first tutoring session, and let's make math come alive!

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미적분을 정복하려는 여정을 떠날 때, 더 이상 검색할 필요가 없습니다. 이 흥미진진한 수학 모험을 위해 믿을 수 있는 안내가 기다리고 있습니다.

미적분은 수학에서 변화와 움직임을 이해하기의 흥미로운 시작을 의미합니다. 시험 준비, 수업 내용 숙지, 또는 고급 수학 세계를 탐험하더라도, 성공을 달성하기 위한 도움이 여기에 준비되어 있습니다.

과외 세션 동안, 미적분의 두 가지 핵심 개념인 미분(변화 예측)과 적분(모두 합치기)을 탐구하게 될 것입니다. 복잡한 아이디어는 단순화되고, 단계별 안내가 제공되며, 미적분이 현실 세계와 어떻게 관련되는지 설명합니다. 한계, 도함수, 적분을 설명하고 어떻게 응용되는 지 배울 수 있을 것입니다. 

 이 수학적 여정을 함께 떠나기 준비가 되셨나요? 고등학교 미적분을 마스터하기 위한 여정을 시작합시다. 

Subject Description

    Calculus content includes limits and continuity, derivatives (slopes of functions at a point), max-min problems, related rates, rectilinear motion, integrals (area of shapes), Riemann sums, and the calculus of transcendental functions.

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Pre-Calculus

Prerequisite:  Grade of C or better in Algebra 2.

 

Pre-Calculus prepares students for calculus and other university level math and science courses by finishing the process of grounding students in the essential algebra and geometry concepts (including trigonometry), while emphasizing problem solving.  Methods which use a graphical approach will be learned, using the TI-89 calculator as the graphing utility. This class satisfies the prerequisite for AP Calculus AB.

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AP Calculus AB

Prerequisite:  Grade of “A” (minimum of 90%) in Pre-Calculus or teacher approval.

 Advanced Placement Calculus AB is the equivalent of a 1st semester university calculus course.  Covering basic differential and integral calculus and applications, this course prepares students for the Advanced Placement Calculus AB Exam given in May. This class satisfies the prerequisite for AP Calculus BC.

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AP Calculus BC

Prerequisite:  Calculus AB

 

Advanced Placement Calculus BC is the equivalent of a 2nd semester university calculus course. Covering advanced differential and integral calculus and applications, this course prepares students for the Advanced Placement Calculus BC Exam given in May.

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Books: ​

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  1. Limits: Understanding the concept of a limit and how it relates to the behavior of functions as they approach certain values.

  2. Differentiation: Learning how to find the derivative of a function, including basic rules like the power rule, product rule, and quotient rule.

  3. Applications of Differentiation: Applying derivatives to solve problems related to rates of change, optimization, and related rates.

  4. Integration: Introducing the concept of integration and basic techniques for finding antiderivatives.

  5. Applications of Integration: Using integration to calculate areas under curves, solve problems involving accumulation, and find the net change in a quantity.

  6. The Fundamental Theorem of Calculus: Understanding the connection between differentiation and integration through the Fundamental Theorem of Calculus.

  7. The Chain Rule: Applying the chain rule to find derivatives of composite functions.

  8. Implicit Differentiation: Differentiating implicitly defined functions.

  9. Exponential and Logarithmic Functions: Studying exponential and logarithmic functions and their derivatives.

  10. Trigonometric Functions: Exploring trigonometric functions and their derivatives.

  11. Optimization: Solving optimization problems using calculus techniques.

  12. Related Rates: Using calculus to solve problems where multiple variables are changing in relation to one another.

  13. Riemann Sums: Understanding the concept of a Riemann sum and approximating definite integrals.

  14. Antiderivatives: Further exploration of antiderivatives and their applications.

  15. Differential Equations: Introduction to basic differential equations and their solutions.

  16. Parametric Equations: Analyzing functions defined parametrically and finding derivatives and integrals in this context.

  17. Polar Coordinates: Introducing polar coordinates and performing calculus operations in polar form.

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