Calculus is the foundation of modern mathematics and almost all other branches of modern science.

Functions play central roles in this subject, so the definition of elementary functions and different kinds of limits are introduced in Chapter 1.  Then theory of differentiation and the application are discussed in Chapter 2 and in Chapter 3, respectively. At last the theory of integration and the Fundamental Theorem of Calculus are given in  Chapter 4 and Chapter 5.

In the journey to the giant's shoulders, you will learn different kinds of important techniques, such as the calculation of limits, the method of finding the maximum or minimum values of functions, the computation of derivatives and various integrals and so on.

In order to help you master these skills, examples are presented after the introduction of every method.As an old saying goes, "Practice makes perfect!" We strongly recommend you to calculate every step in the examples by yourselves and solve all the problems in the exercise at the end of each section.

The evaluation of the course is divided into 3 parts:

(1) Test (45%):

Test 1: The content of the study contains Chapter 1 to Chapter 3, including 20 blanks and 10 single choice questions.

Test 2: The content of the study contains Chapter 4  to Chapter 5, including 10 blanks and 5 single choice questions.

(2) Final examination (50%):

Final Test: The content of the study contains Chapter 1 to Chapter 5, including 8 Calculations  and 2 Applications of calculus.

(3) Discussion (5%):

Students with full marks are required to participate in teacher-initiated discussions in the "Classroom Discussion Area". The total number of posts and replies is more than or equal to 5. Each chapter of this course has a discussion topic, and students can participate in it according to their interests.

Elementary Mathematics

[1] Laiyuan Gao, Shuixia Hao ,Yuntao Zhang, A Concise Course of Calculus (The draft edition), 2020

      [2] James Stewart. Calculus: Early Transcendentals (The 8th edition),2014

      [3] Varberg, D., Purcell, E.J., Rigdon, S.E., Calculus, (The 9th edition), 2009

1 Q : What are the requirements for the self-study content?

A :  Most of the self-study contents are the basic knowledge of high school. Students need to review and understand the basic concepts.

2 Q : How to handle Calculus easily?

A : ”Practice makes perfect!”

We do not believe

there is another way to handle Calculus without persistent hard work.