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準備初級微積分

在為期一週的密集課程中,學生將複習必備的數學主題,並開始初級微積分主題的介紹性教學。五天內每天上課 115 分鐘。
Mr G. - B.S. Applied Physics, Nuclear Engineer
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5 現場會議
9 小時 35 分鐘 上課時間
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課堂經歷

英語程度 - 未知
美國 8 - 11 年級
PreCalculus starts with some basic math review, but QUICKLY moves through all previous math and maintains a very high pace through some of the most advanced and complicated math up to, and including some introduction to, Calculus.  Having a solid foundation going in can make all the difference in successfully achieving your goals.  This five-day intensive will cover:

Day 1:  Linear Equations 
- Forms of Linear Equations 
   - Standard, slope-intercept, point-slope 
   - Advantages/Disadvantages/Uses of each 
   - Manipulating between forms 
   - Deriving based on available information 
- Equations of parallel lines 
- Equations of perpendicular lines 
- Solving systems of linear equations 
- Application of systems of linear equations (word problems) 

Day 2:  Parabolas/Quadratic Functions 
- Forms of quadratic equations 
   - Standard, factored, vertex 
- Differentiating between quadratic functions, quadratic equations, quadratic expressions, and the quadratic formula 
- Differentiate between roots (aka, zeros) of a quadratic function and x-intercepts 
- Factoring quadratic expressions 
   - Leading coefficient of one 
   - Leading coefficients other than one 
   - Special case 
   - By grouping 
- Completing the square technique 
- Deriving the quadratic formula 
- Complex numbers and interpreting imaginary roots 
 
Day 3:  Parent Functions and Transformations 
- Review of parent functions 
   - Linear 
   - Square 
   - Cubic 
   - Square root 
   - Cube root 
   - Inverse 
   - Exponential 
   - Logarithmic 
- Transformation of Functions 
   - Vertical stretch/compression/reflection
   - Horizontal stretch/compression/reflection
   - Horizontal shift
   - Vertical shift
 
Day 4:  Polynomials and Rational Functions 
- Definition of a Polynomial 
- Characteristics of Polynomial 
- Fundamental theorem of algebra – roots of a Polynomial 
- Roots of a Polynomial – rational Vs irrational Vs imaginary 
- Rational root theorem 
- Long Division and Synthetic Division of Polynomials 
- Graphing Polynomials 
   - Y-intercept 
   - End behavior 
   - Roots/x-intercepts 
- Introduction to Rational Functions 

Day 5:  Trigonometric Functions 
- Definitions of basic trigonometric functions 
- Special triangles and familiarization with angle conversion formulas 
   - Double angle 
   - Half angle 
   - Angle addition 
   - Angle subtraction 
- Unit circle and quadrant ambiguity with inverse trigonometric functions 
- Basic trigonometric identities 
- Graphing trigonometric functions 
- Transformation of trigonometric functions

其他詳情

教學語言
英語
外部資源
除了 Outschool 教室外,本課程也使用:
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28評論
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教師專業知識和證書
碩士 由 Tulane / A.B. Freeman School of Business
學士學位 由 Rose-Hulman Institute of Technology
B.S. Applied Physics.
8 years experience teaching high school geometry, precalculus, and physics, including AP.
Routinely achieve AP Physics exam results notably higher than the national average.
Over a decade experience tutoring physics, calculus, pre-calculus, geometry, trigonometry, algebra, and SAT prep.
20 years served in submarines - includes qualification as Navy Nuclear Propulsion Engineer and hours upon hours of performing trigonometric calculations in my head to avoid shipping collisions.
12 years service as an engineer for the Department of Defense supporting the D5 Submarine Launched Ballistic Missile System and its payloads.

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現場團體小班課程
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US$200

用於 5 課程

每週5次,共 1 週
115 分鐘
有33 位學習者完成此課程
即時視訊會議
年齡: 13-18
5-12 每班學員人數

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