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.

课程介绍： 

本课程是非计算机理工类本科专业学生的计算机类选修课，旨在为各专业的学生提供计算机网络学习指导。课程主要介绍计算机网络的基本概念，基本理论和基本方法。通过学习计算机网络基础理论、实用技术和掌握计算机网络基本操作拓展视野，增强技能，提高大学生的社会竞争力。 本课程讲述内容包括计算机数据通信的基本概念与理论、计算机网络的体系结构、各层网络协议、局域网、广域网、网络互联、TCP/IP与Internet、网络应用、网络安全，目的是使学生掌握数据通信与计算机网络的工作原理，培养学生对计算机网络的研究、分析、设计、组网与应用开发能力，并学会各种实用网络维护技术，为今后开展这方面的工作打下基础。

演示临时课程，演示结束请删除