MATH 1A/B.  Pre-Calculus

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences.

Content: This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. 

问题 1.

Evaluate the limit $\lim _{x \rightarrow 5} \frac{4-\sqrt{3 x+1}}{x^2-7 x+10}$. (Do not use L’Hôpital’s Rule.)

问题 2.

Let $m$ be the slope of the tangent line to the graph of $y=\frac{x^2}{x+2}$ at the point $(-3,-9)$. Express $m$ as a limit. (Do not compute $m$.)


针对 Pre-calculus 推荐三本教材:

✅ Functions Modeling Change

✅ Precalculus Mathematics for Calculus

✅ Sullivan Precalculus


  • 代数、几何、三角学、解析几何和初等函数
  • 函数包括:线性函数、多项式、有理函数、指数函数、对数函数、三角函数、反三角函数和分段定义函数