AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions.
You should have successfully completed courses in which you studied algebra, geometry, trigonometry, analytic geometry, and elementary functions. In particular, you should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions and know how to graph these functions and solve equations involving them. You should also be familiar with algebraic transformations, combinations, compositions, and inverses for general functions.
AP Calculus Premium: With 12 Practice Tests (15th Edition), by D. Donovan, D. Bock, and S. O. Hockett, Barrons Educa- tional Series, 2020.
Lectures will be given online via Zoom once per week. At the end of each lesson, there will be 15 minutes for questions. Students are expected to be self-motivated. Collaboration among peers is strongly encouraged. A set of exercises will be assigned each week and students are expected to complete the assignments in a timely manner.
Dr. L. Xiao is a postdoctoral researcher at Sorbonne University. They obtained their PhD in Mathematics from California Institute of Technology in 2020. In 2017, Dr. Xiao received the departmental award of Scott Russell Johnson Prize for Excellence in Graduate Research and Teaching. They also hold a Certificate of Practice in University Teaching issued by Caltech. With over five years of experience teaching and tutoring mathematics, Dr. Xiao has developed effective pedagogy and consistently receives positive reviews from students.
Howard Shen, Masters of Education with a concentration in Technology from Harvard University in 1997. Mr. Shen was a former staff officer and lecturer at Harvard University. He was the IT lecturer and online course manager of Program for Global Leadership from 1997 to 2001 at Harvard Business School.
Lecture 1: Functions
Lecture 2: Limits and Continuity
Lecture 3: Differentiation: Definition and Fundamental Properties Lecture 4: Differentiation: Composite, Implicit, and Inverse Functions Lecture 5: Contextual Applications of Differentiation
Lecture 6: Analytical Applications of Differentiation
Lecture 7: Integration and Accumulation of Change
Lecture 8: Definite Integrals
Lecture 9: Applications of Integration
Lecture 10: Differential Equations
Class time: every Sunday and Saturday, starting on the morning of January 9th at 10am US Eastern Time (Can be adjusted according to students』 availabilities).
Tuition: based on your desired amount to pay for it; we suggest to start at USD$350 for 10 courses.
Class size: we select 10 students based on payment amount; we will notify you of the decision.
Please send payment via PayPal hshen@ginsengedu.com or Alipay caiwu@50edu.cn.
Please register with the link: https://forms.gle/uSaFsAy9tXiXmVBy6, or QR code below. You can also register by emailing hshen@ginsengedu.com, or visiting www.ginsengedu.com.
一些學生在中小學期間開展天文學與物理研究就必須完成微積分教育（何時學微積分：大學、中學、小學？）。
一些學生為了數學競賽和SAT考試成績優秀就提前學微積分（為什麼學微積分）。
一些學生為了掌握數據科學和人工智慧算法就在高中必學微積分（學好微積分，可以拿百萬年薪？）
國際化教育界，南有沈老師、北有林老師。沈浩老師1997年畢業於哈佛大學教育研究院，後在哈佛大學從事培訓和招生。20年來，他的學生遍布歐美頂尖學府，他們將他稱作「引路人」。2005年，他與哈佛校友合著的《網絡與孩子教育》被哈佛圖書館收藏。