MTH019 Syllabus
1 Course Information
MTH019 Calculus for Business – Fall 2024
Class-Group Code: MTH019 G17 & G18
课程名称：微积分
Instructor: Dr. Jiaye Xu (徐嘉烨)
Email: Jiayexu.PT@xjtlu.edu.cn
Website: https://jiayexu.quarto.pub
Office: MB 421B
Lecture Time:
G17 Tuesday 9:00 - 10:50 a.m., Friday 3:00 - 4:40 p.m.
G18 Monday 3:00 - 4:40 p.m., Thursday 9:00 - 10:50 a.m.
Location: Foundation Building 296. (基础楼)
Office Hours: Friday 10:00 a.m. - 2:00 p.m.
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 2024-2025-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%): Homework (15%) + Quizzes (Week 5 & 11, 5% each)
Midterm (15%): the Weekend of 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 - 2.3 | Chapter 2 Limits |
| Week 3 | sec 2.4 - 2.7 | |
| Holiday Week | No Lectures | |
| Week 4 L1 | sec 2.8 | |
| Week 4 L2 | 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 L1 | sec 4.11 - 4.12 | |
| Week 9 L2 | 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!
8 FAQ
I highly recommend this Study Guidance Video narrated by Dr. Feiyan Chen, the module leader of MTH019. This will answer most of your questions about surviving and nailing your first-year math class.