MTH019 Syllabus
1 Course Information
MTH019 Calculus for Business – Fall 2025
Class-Group Code: MTH019 G10 & G12
课程名称：微积分 (商业·经管类)
Instructor: Dr. Jiaye Xu (徐嘉烨)
Email: Jiaye.Xu@xjtlu.edu.cn
Website: https://jiayexu.quarto.pub
Office: MB 421B
Lecture Time:
G10 Monday 11:00 a.m. - 12:50 p.m., Thursday 1:00 - 2:50 p.m.
G12 Monday 3:00 - 4:50 p.m., Thursday 9:00 - 10:50 a.m.
Location: SIP-FB 396. (基础楼396)
Office Hours: TBA.
2 Textbooks
D. Varberg, E. Purcell, S. Rigdon. Calculus Early Transcendentals. Pearson Education Asia Limited, 2018.
N.B. Please check the Learning Mall Core page for further details of the syllabus. And the pdf file 2025-2026-S1 MTH019 Teaching Planning for Students in the section of Module Handbook and other important resources on the course page is the final version of teaching schedule.
3 Assessment
Course Works (25%): Weekly Assignments (1.5%*10) + Online Assignments (Week 5 & 13, 5% each)
Midterm (15%): Week 7
Final Exam (60%)
4 Outline of Lectures
| Week and Lecture | Suggested Reading | Lecture Notes |
|---|---|---|
| Week 1 | sec. 1.5 -1.9 | Chapter 1 Preliminaries |
| Week 2 | sec 2.1 - 2.5 | Chapter 2 Limits |
| Week 3 | sec 2.6- 2.8 | |
| Holiday Week | No Lectures | |
| Week 4 | sec 3.1 -3.4 | Chapter 3 The Derivative |
| Week 5 | sec 3.5 - 3.10 | |
| Week 6 | sec 3.11; 4.1 - 4.3 | |
| Week 7 L1 | sec 4.4, 4.6 | Chapter 4 Applications of the Derivative |
| Week 7 L2 | Midterm Review | Up to Sec 4.6. |
| Week 8 | sec 4.7 - 4.8, 4.10 | |
| Week 9 | sec 4.11 - 4.12 sec 5.1 - 5.2; |
Chapter 5 Definite Integral |
| Week 10 | sec 5.3 - 5.5 | |
| Week 11 | sec 6.1 -6.4 | Chapter 6 Applications of the Integral |
| Week 12 | sec 7.1 -7.2; sec 7.3 -7.5; |
Chapter 7 Techniques of Integration and Differential Equations |
| Week 13 | sec 7.7, sec 8.1 |
5 Why Calculus Courses?
Compulsory Course: Pre-Major, 5 Credits.
Solid Foundation for Domain Science: down the road of math courses, differential equations, probability, statistics, mathematical modelling. Toolkit for the domain science, engineering, data science, business, economics, social sciences etc.
Rigorous Scientific Training and Problem Solving Techniques: Stay strong!
6 Learning Resources
Textbook: Pre-class reading, browse; Post-class reading, thoroughly.
In-Class Notes: Derivations, examples, sketching graphs etc. are shown manually on board in the lecture. Chalk-n-Talk works in math education.
Learning Mall: Lecture notes of the current semester.
Online Resources: There are loads of learning material out there.
Lecture videos from self-learning/teaching platforms, e.g., MIT OCW, 3B1B, Coursera, Khan Academy;
Lecture videos with Chinese subtitle on, say, Bilibili. Math problems could be, in essence, English problems. Be aware of the terminologies in English and math notations!
Practice Problems: homework, problem sets in textbook. Learn by doing!
Get Help: Group Study, Office Hours. Learn by explaining!
7 Academic Integrity
This is REALLY important! Please read this document XJTLU Academic Integrity Policy carefully. And remember that: No Copying or Collusion!