US$60
per session包含什麼
按需滿足
根據需要安排會議55 分鐘
每次會話教師支持
我們無法翻譯此文,請刷新頁面並再試一次。
課堂經歷
英語程度 - 未知
美國 5 - 8 年級
Precalculus serves as a bridge between Algebra, Geometry, and Calculus. It covers a broad range of topics that help students develop the skills needed for success in Calculus. Here are the standard topics typically covered in a Precalculus course: 1. Functions and Their Properties Types of Functions: Linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric, inverse, and piecewise functions Domain and Range: Determining the domain and range of functions Operations on Functions: Addition, subtraction, multiplication, division, and composition of functions Inverse Functions: Definition and finding inverse functions Graphing Functions: Understanding transformations (translations, reflections, stretching, shrinking) 2. Polynomial and Rational Functions Polynomial Functions: Long division, synthetic division, zeros of polynomials (factoring, Rational Root Theorem) Graphing Polynomial Functions: End behavior, turning points, and identifying key characteristics of graphs Rational Functions: Asymptotes (vertical, horizontal, oblique), holes, and graphing rational functions Solving Polynomial and Rational Equations: Techniques for solving algebraically 3. Exponential and Logarithmic Functions Properties of Exponents: Growth and decay models Exponential Functions: Graphing and solving exponential equations Logarithmic Functions: Definition of logarithms, properties (product, quotient, power rules), and solving logarithmic equations Exponential and Logarithmic Applications: Compound interest, population growth, and decay models 4. Trigonometry Angles and Radian Measure: Degrees vs. radians, converting between them Trigonometric Functions: Definitions using the unit circle, sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent) Graphing Trigonometric Functions: Amplitude, period, phase shift, and vertical shift Inverse Trigonometric Functions: Understanding and solving inverse trig functions Trigonometric Identities: Pythagorean, sum and difference identities, double-angle, half-angle identities Solving Trigonometric Equations: Using identities and inverse functions Law of Sines and Cosines: Applications to solving triangles 5. Complex Numbers Definition and Operations: Addition, subtraction, multiplication, division of complex numbers Polar Form of Complex Numbers: Conversion between rectangular and polar forms, De Moivre's Theorem 6. Vectors Vector Operations: Addition, subtraction, dot product Magnitude and Direction: Representing vectors graphically, finding the magnitude and direction Applications of Vectors: Solving physics-related problems involving force, velocity, etc. 7. Sequences and Series Arithmetic Sequences and Series: Finding terms, sum formulas Geometric Sequences and Series: Finding terms, sum formulas, including infinite geometric series Mathematical Induction: Proving statements involving sequences or inequalities 8. Conic Sections Parabolas: Equations, vertex, focus, and directrix Ellipses: Equations, foci, major and minor axes Hyperbolas: Equations, foci, asymptotes Applications of Conic Sections: Real-world problems involving parabolas, ellipses, and hyperbolas 9. Polar Coordinates and Parametric Equations Polar Coordinates: Plotting points in the polar plane, converting between polar and rectangular coordinates Polar Equations: Graphing polar equations, finding symmetries, and analyzing polar curves Parametric Equations: Graphing and eliminating the parameter, applications to motion and curves 10. Limits (Introduction to Calculus) Concept of a Limit: Understanding limits intuitively, graphically, and algebraically Limits at Infinity: End behavior of functions and asymptotes Continuity: Defining continuity at a point, types of discontinuities Limit Laws: Basic properties and techniques for calculating limits 11. Additional Topics (Optional) Binomial Theorem: Expanding binomials, Pascal's Triangle Probability and Combinatorics: Permutations, combinations, and basic probability
學習目標
These topics form the foundation for Calculus and higher-level mathematics, helping students develop an understanding of functions, equations, and their applications in various mathematical contexts.
其他詳情
外部資源
學習者無需使用標準 Outschool 工具以外的任何應用程式或網站。
認識老師
教師專業知識和證書
Hello! I am so excited to meet you! I currently tutor Chemistry, Algebra 1, Algebra 2 and Pre-Calculus. I have been teaching and tutoring these classes for the last 10 years. I graduated from Indiana University with my BS in Biochemistry and Minor in Mathematics. I also went to Purdue University for my MS in Biochemsitry. I love math and science! I enjoy helping students with these challenging classes to do their very best! I homeschool my own five children. I love to camp and hike with my family and play with my sweet bernedoodle, Daisy!
評論
其他家長也喜歡
AP 初級微積分、初級微積分榮譽課程或初級微積分 - 私人數學輔導
Verlanie
5.0
(120)
US$85 每堂課
一對一輔導
依需求開班
9-18
微積分預科全年課程
Gail Dykhuis
4.9
(263)
US$15 每班
團體課
33 週, 2/週, 45 分鐘
14-18
微積分預備課程第二學期
Amy Schriever B.S, MMath
4.9
(107)
US$14 每班
團體課
16 週, 2/週, 55 分鐘
14-18
初級微積分:第 3 季度
Bethany Kiracofe
5.0
(390)
US$14 每班
團體課
9 週, 2/週, 1.33 小時
16-18
初級微積分基礎
Cynthia Dise
4.9
(79)
US$10 每班
下次會議在 7 PM Mon 8/25
團體課
32 週, 3/週, 45 分鐘
14-18
初級微積分主題
Shellee Harris, BS Math
5.0
(4)
US$17 每班
團體課
17 週, 2/週, 50 分鐘
14-18
加速預科微積分課程。完整的課程。
Lhisha Bennett
4.9
(42)
US$10 每班
下次會議在 9 PM Tue 7/1
團體課
4 週, 4/週, 50 分鐘
13-18
初級微積分 |夏季複習和準備
Mind over Math - Tutoring and Group Classes
4.9
(705)
US$18 每班
下次會議在 2 PM Mon 6/16
團體課
3/週, 50 分鐘
13-18
高中預科微積分全年
Wild and Unstructured Learning
4.8
(1,121)
US$29 每班
下次會議在 2 PM Friday
團體課
1/週, 55 分鐘
15-18
大學預科。初級微積分第 1 部分
Fernando Millan, Certified Educator. B.S.E.E.
4.9
(952)
US$25 每班
下次會議在 3 PM Tue 3/4
團體課
8 週, 2/週, 50 分鐘
15-18
高中微積分輔導(一對一)
Joy Oyebisi, PhD "ACE Educator"
4.9
(56)
US$70 每堂課
一對一輔導
依需求開班
14-18
高中預科微積分/三角學導師
Kristin Hardymon
5.0
(3)
US$60 每堂課
一對一輔導
依需求開班
13-17
Aops 初級微積分一對一博士輔導
Dr. Victoria_PhD_Professor_Editor_Special Educator
5.0
(5)
US$195 每堂課
一對一輔導
依需求開班
13-15
初級微積分 |解決問題的藝術(AOPS)
Mind over Math - Tutoring and Group Classes
4.9
(705)
US$24 每班
下一堂課今天 10 PM
團體課
2/週, 50 分鐘
12-17
數學家暑期學校:為秋季微積分基礎數學課程做準備
Kristen LeGeyt M.Ed. Secondary Mathematics
5.0
(224)
US$50 每班
下次會議在 9 PM Tue 7/1
團體課
8 週, 1/週, 55 分鐘
14-18
Kitty 教授的微積分基礎課程 |第一學期早鳥優惠
Professor Kitty BS ChemE-UVa; MBA-Case Western
5.0
(412)
US$14 每班
下次會議在 5:30 PM Tue 9/9
團體課
13 週, 2/週, 25 分鐘
13-18