工程制图是工科类专业学生必修的一门既有理论又有实践的主干技术基础课程，该课程主要研究在二维平面上表达三维空间形体的方法与技能，研究绘制和阅读工程图样的原理和方法和计算机绘图。教学目标是培养学生的形象思维能力、工程表达能力、绘制和阅读工程图样的能力、动手查阅资料的能力以及工程师素质。

本课程为华师汕尾校区数据科学与工程学院本学期开设的一门课，希望可以借助这个平台辅助教学。

Course Aims

   The aim of the course is to provide an introduction to the Differential Calculus, studying the methods and some of the applications of the subject. The course starts from the beginning of the subject, but it is advantageous to be familiar with the material on Calculus contained in the Scottish Highers syllabus or equivalent.

Learning Objectives

    By the end of the course the student should:

•  be familiar with the basic mathematical languages, such as sets and functions, the basic logic underpinning mathematical reasoning, and methods of proof.
• be familiar with the concepts of limits. Understand their usage for defining continuity.
  
• be familiar with the concept of the derivative of a function and its geometrical significance. Know the basic rules of differentiation and be able to apply them to find first and higher derivatives of functions.
• know the elementary properties of the trigonometric functions, the inverse trigonometric functions, the exponential and logarithmic functions. Be able to differentiate expressions involving these functions.
• be able to find the equation of a tangent to a curve given explicitly or implicitly. Know the significance of the first and second derivatives for the shapes of graphs.
• know about critical points of differentiable functions and their use in determining maxima and minima. Be able to apply these ideas to simple problems in optimization and curve sketching.