Course Plan of Tunghai University for 2018 Fall
I. Course Information
Department Applied Mathematics
Course Title Calculus A1 in Mandarin
Course Number 4190 Credits 3 - 3
Required/Elective Required Prerequisites High School Algebra
Course Description

Differential/Integral Calculus for One Variable and Their Applications
II. Instruction Information
Instructor Information
Instructor

沈淵源

 billshen@thu.edu.tw

EXT 32511

Time [Place] to meet Wednesday 14:10-17:10 [ HT109]
Office Hours

Time: Monday/Friday 09:10-10:00am and by appointment

Room: ST611(Ext 32511)
 Information
Teaching Assistant 洪廖憶/ Office: ST634(Ext 32534)
Recitation Class Friday 14:10-15:00 [HT109] Contact Information Phone: Ext 32534

Email: G05240002@thu.edu.tw

III. Syllabus
■ Course Objectives

We will study two basic concepts in this class: 

1. The derivative of a function at some point, a concept motivated by computing the slope of a curve at a point; 

2. The definite integral of a function over an interval, a concept motivated by evaluating the area of the region under a curve on an interval.

We will also study the connection between these two concepts and some of their applications.
Textbook: 2018 International Edition

Essential Calculus, Early Transcendentals, Metric Version by James Stewart
Week Date Course Topics and Class Schedule
Course Reading Materials Links
 
1 09/12: The Euler's number

09/14: 2.2 The Limit of a Function/2.3 Calculating Limits Using the Limit Laws

2 09/19: 2.5 Continuity/2.6 Limits at Infinity; Horizontal Asymptotes

2.7 Derivatives and Rates of Change/2.8 The Derivative as a Function

09/21: Recitation Class
3 09/26: 3.1/3.6 Derivative of Power/Polynomial/Exponential/Logarithmic Functions

3.2/3.3 The Product and Quotient Rules/Derivatives of Trig Functions

09/28: Recitation Class
4 10/03: 3.4 The Chain Rule/PPT01

10/05: Recitation Class
5 10/10: Happy Holiday!/Old Exam 101/Old Exam 102

10/12: Recitation Class
6 10/17: 3.5 Implicit Differentiation

10/19: Recitation Class/Old Exam 103
7 10/24: First Exam 14:30~16:10 in Room HT109/Old Exam 104

10/26: Recitation Class
8 10/31: 3.10 Linear Approximations and Differentials

11/02: Happy Birthday to Tunghai University
9 11/07: Review

11/09: Recitation Class

11/10: Second Exam=Mid-term Exam 08:10~09:50 (Place to be announced)
10 11/14: 4.1 Maximum and Minimum Values/4.2 The Mean Value Theorem

11/16: Recitation Class

11 11/21: 4.3 How Derivatives Affect the Shape of a Graph/4.5 Summary of Curve Sketching

11/23: Recitation Class
12 11/28: 4.4 Indeterminate Forms and l'Hospital's Rule/4.8 Antiderivatives

11/30: Recitation Class
13 12/05: 5.2 The Definite Integral/5.3 The Fundamental Theorem of Calculus

12/07: Recitation Class
14 12/12: 5.4 Indefinite Integrals/5.5 The Substitution Rule

12/14: Recitation Class/Old Exam 201/Old Exam 202
15 12/19: Third Exam 14:30~16:10 in Room HT109

12/21: Recitation Class
16 12/26: 6.1 Areas Between Curves/7.1 Integration by Parts

12/28: Old Exam203/Old Exam 204
17 01/02: Review

01/03: Review/Recitation Class
18 01/05: Final Exam 08:10~09:50 (Place to be announced)

■ Grading Policy

　 Assessment Item Percentage Description
1 1st Exam 20% 10/24
2 2nd Exam 20% 11/10
3 3rd Exam 20% 12/21
4 4th Exam  20% 01/08
5 Homework/Quizzes 20% Class Participation, Homework and Quizzes

Together with Attendance of Recitation Classes
■ In Class Bylaw

First thing: Each week, read the material to be covered on Tuesday night, it can help you to learn the basic concepts more effectively.
Open your heart: Be happy to attend calculus class and take note if necessary.
Open your eyes: Never mind in case of falling asleep, but keep your eyes open always.
Close your mouth: Keep silence unless you are asked to answer a question, no eating either.
Shut down your electronics: This includes cell phone, notebook computer, iPad.
■ Personal Website   billshen.thu.edu.tw/