Hootix Academy

代数与预备微积分助理 Certification

代数的核心引擎——函数、方程与通往微积分的桥梁

Key facts

About the 代数与预备微积分助理 certification

代数与预备微积分助理认证证明你具备每门定量学科所依赖的代数流畅度与函数思维——这是学习微积分、物理、工程、经济学、数据科学和计算机科学的关键入门技能。 你将掌握多项式代数（运算、因式分解、因式定理与余式定理、求根）；深入学习二次方程（配方法、求根公式及判别式的含义）；有理式与有理方程（化简、通分与增根）；根式方程与指数方程；函数的完整理论（定义域与值域、复合函数、反函数、变换及奇偶性）；指数函数与对数函数及对数与指数的所有运算法则；方程组与不等式组（代入法、消元法与图解法）；二项式定理与帕斯卡三角；等差数列、等比数列与级数；系统掌握三角学（单位圆、六个三角比、基本恒等式、函数图像、弧度制、正弦定理与余弦定理）；复数及其运算；圆锥曲线（抛物线、圆、椭圆、双曲线）；矩阵与向量基础；以及为微积分奠定基础的极限直觉导论。 每个主题均通过数值例题讲授和测试——学完后你能自信地变换表达式、解各类标准方程、分析函数及其图像，并在零缺口的情况下步入第一门微积分课程。本认证直接建立在算术与代数基础之上。

What you will learn

The official 代数与预备微积分助理 study course covers:

  1. Polynomials & Quadratics — Operations, factoring, the factor/remainder theorems, and solving quadratics every way.
  2. Rational, Radical & Exponential Equations — Simplifying rational expressions and solving rational, radical and exponential equations safely.
  3. Functions & Transformations — Domain/range, composition, inverses, even/odd symmetry, and graph transformations.
  4. Exponentials & Logarithms — Exponential and log functions, the laws of exponents and logs, and solving log equations.
  5. Systems, Sequences & the Binomial Theorem — Solving systems and inequalities, arithmetic/geometric sequences and series, and binomial expansion.
  6. Trigonometry, Complex Numbers, Conics & Limits — The unit circle, identities and laws, complex arithmetic, the conic sections, vectors and a first look at limits.

Prerequisites

Frequently asked questions

Is the 代数与预备微积分助理 certificate verifiable?
Yes. Every issued Hootix Academy certificate carries a unique credential code that anyone can verify online.
How is the 代数与预备微积分助理 exam structured?
It is a 110-minute proctored multiple-choice exam of 72 questions; you need 72% to pass.
Do I need to buy the course to take the exam?
You can purchase the certification exam on its own, or bundle it with the full study course at a reduced price.
How long does the 代数与预备微积分助理 course take?
About 30 hours of self-paced study.

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