Course Plan of Tunghai University for 2017 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 Wed 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 王靖惠/ Office:  ST602
Recitation Class Thu 19:20-20:10 [ST529] Contact Information Phone: Ext 32508

Email: s03730037@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 thomas_12
Thomas' Calculus, 12th Edition, by George B. Thomas Jr./Maurice D. Weir/Joel R. Hass, 2010
Week Date Course Topics and Class Schedule
Course Reading Materials Links
 
1 09/19/2017: Diagonostic Test in class and check answer here

Review Chapter 1 if needed

09/21/2017: 2.2 Limits/Reading Quiz #1

2 09/26/2017: 2.4 One-sided Limits/Continuity

09/28/2017: 2.5 Limits Involving Infinity/Reading Quiz #2

3 10/03/2017: 2.6 Asymptotes/3.2 Differentiability

10/05/2017: Recitation Classes/Reading Quiz #3

4 10/10/2017: Happy Holiday!/PPT01

10/12/2017: Derivative of Power Functions/3.3 Differentiation Rules

5 10/17/2017: 3.5 Derivatives of Trig Functions/3.6 Chain Rule

10/19/2017: 3.7 Implicit Differentiation/Old Exam 101/Old Exam 102

6 10/24/2017: 3.9 Linearization and Differentials/Reading Quiz #4

10/26/2017: 4.1 Extreme Values of Functions/Old Exam 103/Old Exam 104

7 10/31/2017: First Exam

11/02/2017: Happy Birthday to Tunghai University/No Classes

8 11/07/2017: 4.2 Mean Value Theorem/Reading Quiz #5

11/09/2017: 4.3 First Derivative Test

9 11/14/2017: Review/Recitation Class (Discussion of Exercises)

11/16/2017: Second Exam 18:30~20:10 in Room ST529

10 11/21/2017: 4.4 Curve Sketching/Reading Quiz #6

11/23/2017: 5.3 The Definite Integrals/Basic Properties

11 11/28/2017: 5.4 Fundamental Theorem of Calculus/Reading Quiz #7

11/30/2017: More on FTC

12 12/05/2017: 5.5 Integration by Substitution/8.1 Integration by Parts/Reading Quiz #8

12/07/2017: 7.2 Natural Logarithms/7.3 Exponential Functions

13 12/12/2017: 7.0 Applications of the Definite Integrals/Reading Quiz #9

12/14/2017: 7.5 Indeterminate Forms and l'Hopital Rule/7.6 Inverse Trig Functions

14 12/19/2017: More Examples on l'Hopital Rule 

12/21/2017: Third Exam(6:40~8:00pm)/Old Exam 201/Old Exam 202

15 12/26/2017: Discussions on Third Exam/8.4 Integration of Rational Functions

12/28/2017: 8.6 Improper integrals/Reading Quiz #10

16 01/02/2018: Review for Final Exam/Old Exam203/Old Exam 204

01/04/2018: Review for Final Exam

17 01/09/2018: Review for Final Exam

01/11/2018: Final Exam

18 01/16/2018: Final Exam Week

■ Grading Policy

  Assessment Item Percentage Description
1 1st Exam 15% 10/24/2017
2 2nd Exam 25% 11/14/2017
3 3rd Exam 15% 12/21/2017
4 4th Exam  25% 01/11/2018
5 Homework/Quizzes 20% Class Participation, Homework and Quizzes

Together with Attendance of Recitation Class

■ 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/