Course Plan of Tunghai University for 2018 Fall
I. Course Information
Department Applied Mathematics
Course Title Calculus A1 in English
Course Number 4204 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 Tu 18:20-20:10/Thu 18:20-20:10 [ ST529]
Office Hours

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

Room: ST611(Ext 32511)
 Information
Teaching Assistant 王郁雅/ Office:  ST603
Recitation Class Thu 19:20-20:10 [ST529] Contact Information Phone: Ext 32509

Email: s05240050@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 09/11: Diagonostic Test in class and check answer here/Review Chapter 1 if needed

09/13: The Euler's number

2 09/18: 2.2 The Limit of a Function/2.3 Calculating Limits Using the Limit Laws

09/20: 2.5 Continuity/2.6 Limits at Infinity; Horizontal Asymptotes/2.7 Rates of Change
3 09/25: 2.8 The Derivative as a Function3.1 Derivative of Power/Exponential Functions

09/27: Recitation Class
4 10/02: 3.2 The Product and Quotient Rules/3.3 Derivatives of Trig Functions/PPT01

10/04: 3.6 Derivatives of Logarithmic Functions
5 10/09: 3.4 The Chain Rule/Recitation Class/Old Exam 101/Old Exam 102

10/11: Applications of Derivatives/Recitation Class
6 10/16: Review/Old Exam 103/Old Exam 104

10/18: First Exam 18:30~20:10 in Room ST520
7 10/23: 3.5 Implicit Differentiation

10/25: 3.10 Linear Approximations and Differentials
8 10/30: Review

11/01: Recitation Class (Discussion of Exercises)

9 11/06: Second Exam 18:30~20:10 in Room ST520

11/08: No Classes
10 11/13: 4.1 Maximum and Minimum Values

11/15: 4.2 The Mean Value Theorem

11 11/20: 4.3 How Derivatives Affect the Shape of a Graph

11/22: 4.5 Summary of Curve Sketching/4.8 Antiderivatives
12 11/27: 4.4 Indeterminate Forms and l'Hospital's Rule

11/29: 4.5 Summary of Curve Sketching/Recitation Class
13 12/04: 5.2 The Definite Integral

12/06: 5.3 The Fundamental Theorem of Calculus/Recitation Class
14 12/11: 5.4 Indefinite Integrals 

12/13: 5.5 The Substitution Rule
15 12/18: Recitation Class/Old Exam 201/Old Exam 202

12/20: Third Exam 18:30~20:10 in Room ST529
16 12/25: Merry Christmas!/Old Exam203/Old Exam 204

12/27: 6.1 Areas Between Curves/7.1 Integration by Parts
17 01/01: Happy New Year!

01/03: Recitation Class
18 01/08: Final Exam

■ Grading Policy

　 Assessment Item Percentage Description
1 1st Exam 20% 10/18
2 2nd Exam 20% 11/06
3 3rd Exam 20% 12/20
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/