Professor Zhao - NYU

Professor Zhao - NYU

NYU教授赵博士主讲SAT、SAT II、Math、Physiscs等课程

希尔教育Hilsedu 是一个以补充学校教育不足为己任的教育服务机构。其目的在于帮助学生在在激烈的竟争中取得优秀的在校成绩和优秀的SAT成绩。这些好成绩是申请进如好大学的先决条件。此外, 提高学生的数学能力并使其在与他人竟争的过成中处于领先地位也是我们的一个重要任务。

我们有幸请到了NYU教授赵博士来担任我们SAT Math I&II, SAT Physics, AP Physics, AP Calculus, Algebra I&II, Geometry等课程的主讲老师。

赵博士自从2004年开始开设SAT及各科培训班以来,已经帮助数百位学生获得理想成绩。数学平均提高200分左右,物理更是提高高达300分。赵博士的众多学员凭借出色的SAT和AP成绩,成功获得了美国顶级大学的录取,包括MIT、Columbia、Cornell、NYU、U Penn等。

除此之外,赵博士对NYU招生工作非常了解,可以为学生和家庭提供美国大学申请咨询。

Prof. Zhao has been tutoring students since 2004 and has helped hundreds of students in studying SAT Math I&II, SAT Physics, AP Physics, AP Calculus, Algebra I&II, Geometry, and others. The students mainly come from high schools in central NJ and Rutgers University.

The score improvement exceeds 200 in Math, more than 300 in Physics. A lot of Prof. Zhao's students achieved full score in math and physics tests, helping them get into top-ranking schools, including MIT, Columbia, Cornell, NYU, U Penn, etc. 


数学教育的特点

--- by Prof. Zhao

我们常说数学是重要的. 但她道底有多重要呢? The Washington Post 的专栏作家Valerie Strauss在她最近的文章中指出: It is crucial to our economic survival that we do better in mathematics and science. 鉴于数学在经济和科学发展中的重要性,数学教育一直是中等教育的重中之重。数学在中等教育中的重要性也反应在下述几个方面:数学教育惯穿于整个中等教育之中;数学包含于几乎所有考试中, 比如 NJASK, HSPA, ACT, SAT, 等等。此外,数学成绩也是大学申请材料的一个重要组成部分。因此, 学好数学是轻年学子通往成功的必由之路。

尽管数学的重要性,一个现在普便接受的观点是:美国的中学数学教育是失败的。近期的 The Washington Post 直接指出,美国的前10% 的学生的数学能力仅相当于亚洲中等水平学生的数学能力。这一令人失望的现实表明,在这个全球竟争的时代,你的孩子很可能已输在了起跑线上了。自然,在学生积极努力学好学校所授知识的同时,努力提高孩子的数学能力就成为在于他人竟争过程中胜出的一个重要手段。

IvyLeague Educational Services 是一个以补充学校教育不足为己任的教育服务机构。其目的在于帮助学生在在激烈的竟争中取得优秀的在校成绩和优秀的SAT成绩。这些好成绩是申请进如好大学的先决条件。此外, 提高学生的数学能力并使其在与他人竟争的过成中处于领先地位也是我们的一个重要任务。

我们多年的教学实践表明,当前的学校数学教育存在下列问题。首先, 缺乏合格的教师。, 有些教师的能力不能胜任其所承担的教学任务。这已是许多学生家长的共识。其次,几乎所有的教师都不教授学生用正确的和逻辑的方发完成作业。 其直接的结果是学生的作业看上去向涂鸭。研究表明,这是学生在考试中犯粗心大意错误的一个重要原因。再次,学生举一反三的能力差。这些问题是导至学生(甚至是数学很好的学生)在各种数学考试中不能取得好成绩的一个重要原因。有鉴于此,我们的数学教育专家对不同学术背景的学生设计了三种教育方案。

提高数学技能方案 . 从根本上讲,提高学生的数学技能是撤底解决当前学校数学教育中存在问题的根本方法。数学技能是指顺利完成数学活动的一种活动方式,往往表现为完成数学任务所需要的动作协调和自动化. 简单的说, 数学技能是指看到问题便知道是什么问题以及怎么解决和具体解决这个问题的能力. 这正是大多数学生所不具有的。在提高学生数学技能方面,我们的教育专家遵循教育学基本原理和数几十年教学经验, 在教学中有效指导学生理解和掌握有关数学的基本概念,基本技能,和基本方法. 针对性地设计作业,采取比较、思辨、改错、判断等方法,加以专门突破和强化,并在后来的练习、复习时,设计有关练习,有针对性地给予弥补。我们的实践表明,这是一个非常有效的方法。经过一段时间的学习,我们的学生在学校的数学成绩均名列前矛。不仅如此,他们的数学表现也得到了学校老师的高度评价。

随堂跟进方案 众所周知,学生的GAP在大学申请中占有极大的比例。因此,如何保持较高的GPA也就是家长们所关心的一个问题了。我们的随堂跟进方案就是为解决这个问题而设立的。这一方案具有即时性特点:随时跟进学生学习进度并给予及时引导。在帮助学生掌握所学知试的基础上,帮助学生提升学习信心,调整学习考试状态,改善学习习惯,从而达到帮助学生提高和维持高GPA的目的. 目前,参加此学习方案的学生均保持A或A+的成绩,既使有的学生原来的数学基础较差。

SAT Math应试培训方案 SAT 考试培训是我们的一个重要的工作。其目的是使考生能在最短的时间内取得最好的成绩。为达此目的,我们的教育专家采用了基于教育学和心理学的教学方案。第一,我们严格地准确地讲述有关概念,方法,和技巧。教师掌握学生每阶段的学习效果,根据学生测试结果制定针对性教学方案,使学生的考分提升更为显著。 这一策略成功地解决了考生会不会解题的问题。第二,我们的复习材料要比真实的SAT 考试略难。我们的学生在试后反馈中都说"考试内容太简单了"。这一策略确保考生能自如地应付千变万化的考试内容并从心理上战胜SAT. 第三,诊治粗心大意。对几乎所有考生来说,粗心大意是他们取得高分的拦路虎。在长期的教学中,我们研发了一个极其有效的克服粗心大意的方法。这一方法的掌握,使得考生在SAT 考试中成功地打掉了这只拦路虎。这些方法的综合应用确实取得了惊人的效果。刚刚过去的金秋10月份SAT 数学考试是验证我们的教育理论和教学方法的季节,也是我们享受胜利的时刻!在SAT I 和 SAT II 考试中,我们所有学生的数学平均成绩是790。近70%的学生取得800满分成绩!

教育引领成长,学习铸就未来. 读书要读好书,求学要跟名师. 如果你认同我们的教学理念和教学方法. 为了你或者你孩子的辉煌未来, 让我们一起精心地和有效地 准备吧。

 


Professor Zhao's Syllabi

SAT - Math

SAT II - Math

SAT II Physics Subject

AP Physics B

Pre-Calculus

Calculus-BC

 


 

 

SAT II Physics Subject

Instructor: Prof. Zhao, Ph. D

1. Course Description

Physics is a branch of science that is concerned with the nature and properties of matter and energy. It is the fundamental basis for many modern technologies. Hence, Physics has been frequently tested on many college entrance examinations. The SAT Physics Subject Test is one of the most well-known Physics tests around the world. The main topics of the SAT II Physics test are Mechanics, Electricity and Magnetism, Waves and Optics, Heat and Thermodynamics and Modern Physics. While the degree of difficulty of most of the questions is lower than that of the AP Physics B test, a high SAT Physics score requires a thorough preparation.

The SAT Physics class is designed to present concepts and applications of the topics to be tested on the SAT: There are total 16 classes (40 hours) of lectures and 4 simulation tests (once a week).

2. Course Prerequisites

Algebra/Trigonometry, Pre-Calculus, High School Honor Physics (one year course)   

3. Textbook

Cracking the SAT Physics Subject Test, Princeton Review

SAT Physics Subject Test-Concepts, Methods, and Skills,  Peiji Zhao, Elite Education, LLC.

4. Course Objectives

A. To  help the students to get the capability to ace the SAT Physics Subject Test.

B. To provide students with a thorough understanding of the basic concepts of physics and the methods scientists use to explore natural phenomena, including observation, hypothesis development, measurement and data collection, experimentation, evaluation of evidence, and employment of mathematical analysis.

B. To instruct students of the fundamental laws of physics and the application of scientific data, concepts, and models for use in the natural sciences and real world situations.

C. To provide students with problem solving skills by an approach that describes physical phenomena with relevant mathematical models and formulae.

D. To develop the student’s mathematical ability to manipulate formulae and derive correct numerical solutions that can be measured in the real world.

5. Course Organization and Methods

A. Attendance Procedure: Attendance will be taken at the beginning of each class. Students are expected to attend every class. Students are responsible for all material covered during any absence and assignments must be completed by the due date. Missed exams will require proof of extenuating circumstances for any make-up consideration.

B. Absence due to Illness: If you are sick, DO NOT ATTEND CLASS. Contact the instructor by e-mail or telephone to discuss how you will keep up with the coursework assignments.,

C. Methods of Instruction: Methods will include lectures and demonstrations that discuss key terms, concepts and formulae of the assigned chapter. During the lecture a quiz about the basic concepts of each chapter will be given. The student is expected to read the book carefully and solve the assigned problems. The previously assigned problems will be collected for grading and the solutions will be derived in class. This process is designed to help the student thoroughly understand the concepts and applications of the material covered.

D. Methods of Evaluation: Students will be evaluated according to the following:

    4     Exams

    6     Quizzes

    15   Assignments

E. Academic Honesty: All students are expected to behave with academic honesty. It is not academically honest, for example, to misrepresent another person’s words or ideas as one’s own, to take credit for someone else’s work or ideas, to copy and paste material from another document or from the internet, to accept help on a test or to obtain advanced information or confidential test materials, or to act in a way that might harm another student’s chance for academic success.  

6. Course Outline and Schedule

Lectures

Contents

1

Basic Skills for Solutions to Physics problems, Kinematics of Particles

2

Dynamics of Particles; Quiz 1

3

Kinetic Energy Theorem and Conservation

Simulation Test 1

4

Momentum Theorem and Conservation Law     ; Quiz 2

5

Rotational kinetics and Dynamics of rigid Body; Quiz 3

6

Mechanical Oscillations; Mechanical waves

Simulation Test 2

7

Electric Fields

8

Electronic Circuits; Quiz 4

9

Magnetic Fields

10

Electromagnetic Inductions

Simulation Test 3

11

Geometrical Optics and Physical Optics

12

Thermal Physics

13

Thermodynamics; Quiz 5

14

Special Relativity

Simulation 4

15

Modern Physics

16

Final Review and Test 4

 


 

AP Physics B

 Instructor: Prof. Zhao, Ph. D

1. Textbooks:

Physics for Scientists and Engineers, Douglas C. Giancoli

College Physics, Serway, Raymond A., and Jerry S. Faughn

2. Course Prerequisites

Algebra/Trigonometry, Pre-Calculus, High School Honor Physics (one year course)

3. Course Overview:

This is an algebra-based course in general Physics. The College Board designs its syllabus and the curriculum requirements. The course is equivalent to an introductory algebra-based university level physics course. Here, in teaching this class, I emphasize concept mastery and problem solving heuristics, later applying those skills to solving specific problems.  

4. Course Organization and Methods

A. Attendance Procedure: Attendance will be taken at the beginning of each class. Students are expected to attend every class. Students are responsible for all material covered during any absence and assignments must be completed by the due date. Missed exams will require proof of extenuating circumstances for any make-up consideration.

B. Absence due to Illness: If you are sick, DO NOT ATTEND CLASS. Contact the instructor by e-mail or telephone to discuss how you will keep up with the coursework assignments.,

C. Methods of Instruction: Methods will include lectures and demonstrations that discuss key terms, concepts and formulae of the assigned chapter. During the lecture a quiz about the basic concepts of each chapter will be given. The student is expected to read the book carefully and solve the assigned problems. The previously assigned problems will be collected for grading and the solutions will be derived in class. This process is designed to help the student thoroughly understand the concepts and applications of the material covered.

D. Methods of Evaluation: Students will be evaluated according to the following:

    5     Exams

    5     Quizzes

    12   Assignments

E. Academic Honesty: All students are expected to behave with academic honesty. It is not academically honest, for example, to misrepresent another person’s words or ideas as one’s own, to take credit for someone else’s work or ideas, to copy and paste material from another document or from the internet, to accept help on a test or to obtain advanced information or confidential test materials, or to act in a way that might harm another student’s chance for academic success.  

 

5. Unit Outlines

Times for each unit are consistent with percentage curriculum goals listed in the AP Physics-B Course Description published by the College Board.  In Section I of the summer school, we will cover unit 1 to unit 5. Unit 6 to unit 10 will be covered in Section II.

Unit 1 Introduction/Algebra Review

  1. Introduction to nature of physics
  2. Algebra Review
  3. Data collection and analysis
  4. Vector addition and subtraction
  5. Motion in One Dimension
    1. Graphs of position v. time, velocity v. time, and acceleration v. time
    2. Analysis of constantly accelerated motion including free fall
  6. Motion in two dimensions
    1. Independence
    2. Projectile motion
    3. Equilibriums—non accelerated systems (First Law)
      1. Static equilibrium
      2. Dynamic equilibrium.
  7.  Systems of two or more bodies (Third Law)
  8.  Applications
    1. Inclined planes
    2. Atwood machines
    3. Static and kinetic friction
  9. Conservation of Mechanical Energy
  10. Work/Energy Theorem
  11. Conservative Forces and Potential Energy
  12. Work done by friction (non-conservative systems)
  13. Power
  14. Momentum
    1. Conservation of Linear Momentum and Collisions
      1. Inelastic, completely inelastic and perfectly elastic collisions
      2. Two dimensional collisions
      3. Uniform circular motion
      4. Centripetal v. Centrifugal forces.
  15. Simple Harmonic Motion
    1. Mass on a spring (Hook’s Law)
    2. Simple Pendulums
  16. Newton’s law of Universal Gravitation
  17. Circular orbits of planets and satellites
    1. Density and hydrostatic pressure
      1. Specific Gravity
      2. Pressure as function of depth
      3. Pascal’s Law
      4. Buoyancy—Archimedes’ Principle
      5. Fluid flow and continuity equation
      6. Bernoulli’s equation
        1. Curve balls
        2. Airplane wings
        3. Hydraulics
        4. Mechanical Equivalent of heat
        5. Heat transfer and thermal expansion
          1. Volume expansion of solids
          2. Calorimetry
          3. Ideal Gases
            1. Ideal gas law
            2. Thermodynamics
              1. isobaric
              2. isometric
              3. adiabatic
              4. 1st Law of Thermodynamics
                1. Molar heat capacity
  18. Second Law of Thermodynamics
    1. Direction of processes
    2. Entropy
  19.  Heat Engines and Refrigerators.
    1. Coulomb’s Law
    2. Electric Fields
    3. Electric Potential v. Electric Potential Energy
    4. Capacitance
      1. Graphical description of capacitance
      2. Energy stored in a capacitor
      3. Capacitors in series and parallel circuits
      4. Applications
        1. Lightning Rods
        2. Parallel plates
        3. Millikan Oil Drop Experiment
        4. EMF, Current, Resistance and Power (volts, amps, ohms and watts)
        5. DC Circuits
          1. Series and parallel circuits
          2. Ohm’s Law
          3. Kirchhoff’s rules
          4. Voltmeters and ammeters
          5. Magnetostatics
            1. Force of magnetic field on moving charge
            2. Force of magnetic field on current carrying wire
            3. Torque on current carrying loop
            4. Electromagnetic Induction.
              1. Magnetic flux
              2. Faraday’s Law
              3. Lenz’s Law
              4. Applications
                1. Mass Spectrometers
                2. Motors
                3. Generators
                4. Properties of traveling waves
                  1. Speed, frequency, and wavelength
                  2. Amplitude, phase changes
                  3. Interference and beats
                  4. Properties of standing waves.
                    1. Waves on a string
                    2. Waves in a tube.
                    3. Nodes and antinodes
                  5. The Doppler Effect
                  6. Sound Intensity
                  7. Musical applications
                  8. Physical Optics
                    1. Electromagnetic spectrum
                    2. Interference and Path Difference
                    3. Newton’s Rings
                    4. Single slits, Double slits and Diffraction gratings
                  9. Geometric Optics
                    1. Reflection v. Refraction
                    2. Law of reflection
                    3. Snell’s Law
                    4. Total internal reflection
                  10. Ray diagrams
                    1. Images formed by mirrors
                    2. Images formed by lenses
                    3. Focal lengths
                    4. Magnification
                    5. Thin lens/mirror equation
  20. Atomic Hypothesis
  21. Atomic number, mass, and mass number
  22. Mass-energy equivalence
  23. Conservation of mass-energy and charge
  24. Electron energy levels
  25. Photons and the Photoelectric effect
  26. Wave-particle duality
  27. DeBroglie hypothesis
  28. Compton scattering

1. Feynman’s 1st rule of Science

2. Testability/Falsifiability as the benchmark of science

1. Precision and Accuracy

2. Graph analysis

1. Graphical methods

2. Mathematical methods

NEWTONIAN MECHANICS

Unit 2 Kinematics

Unit 3 Newton’s Laws of Motion  

B.   Dynamics of a single particle—accelerated systems (Second Law)

Unit 4 Work, Energy, Power & Momentum  

Unit 5 Circular Motion, Oscillations and Gravity  

       C.   Angular momentum and its conservation

       D.   Torque and rotational statics

FLUID MECHANICS AND THERMAL PHYSICS

Unit 6  Fluid Mechanics

Unit 7 Temperature, Heat, Kinetic Theory and Thermodynamics

1.  Linear expansion of solids

1.   Kinetic Model

1.   Processes and PV diagrams

       a.   isothermal

1.   Internal energy

2.   Energy conservation

ELECTRICITY AND MAGNETISM

Unit 8 Electrostatics

Unit 9  Electric Circuits (2 weeks)

 

Unit 10 Electromagnetism 

WAVES AND OPTICS

Unit 11  Wave Motion and Sound  

Unit 12 Optics

 

Atomic and Modern Physics

Unit 13 Atomic and Modern Physics (3 weeks)

1. Mass defect and nuclear binding energy

2. Balanced nuclear reactions

3. Fission, Fusion, Radioactive Decay

1. Emission & absorption spectra

2. Ionization energy

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