﻿ Calculus Projects

# Calculus Projects Project-based learning platform for Calculus

E-mail
mathcal@math.cuhk.edu.hk
Course Information

Dear participants,

Learning Calculus using animation is fun. We provide you with an online learning platform that interacts with you in a real time manner as you press a few buttons, slide the bars and type some mathematical answers. There are eight units:

1. Fermat's Principle implies Snell's Law
2. The Mathematics of Bungee Jumping
3. Curve Fitting
4. Differentiation and Newton’s Method: Homemade Calculator
5. Calculus of Variations: Brachistochrone Curve
6. Approximation Methods and Error Estimates
7. Introduction to Artificial Neural Networks
8. Inequalities

From easy to moderate to hard problems, these project-based learning units will provide you with hands-on experience to see how different physical problems can be solved by calculus techniques. These cool problems can be viewed as out of class learning activities.

Please visit this site from time to time. You will find the latest developments and applications of Calculus and surprises when you work on these project questions.

After first looking at/checking out the eight projects below, please click the link below and help us by doing the survey:

Questionnaire for Calculus Students

The survey only takes one minute!

Thank you very much!

Yours truly,

The Calculus of Project Teams

1. 從費馬定理到斯涅爾定律
2. 蹦極數學
3. 曲線擬合
4. 微分和牛頓法：自製計算器
5. 變分法：最速曲線
6. 近似方法和誤差估算
7. 人工神經網路
8. 不等式

### Unit 1

Topic

Fermat's Principle implies Snell's Law

### Unit 2

Topic

The Mathematics of Bungee Jumping

Topic

Curve Fitting

### Unit 4

Topic

Differentiation and Newton’s Method: Homemade Calculator

### Unit 5

Topic

Calculus of Variations: Brachistochrone Curve

### Unit 6

Topic

Approximation Methods and Error Estimates

### Unit 7

Topic

Introduction to Artificial Neural Networks

### Unit 8

Topic

Inequalities

#### Examination Schedule

Important dates to remember $$\cdots$$