Course Plan of TungHai University for Spring 2019
I. Course Information
Department Applied Mathematics
Course Title Calculus A2 in Mandarin
Course Number 4186 Credits 0 - 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 [ AG202]
Office Hours

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

Room: ST611(Ext 32511)
 Teaching Assistant Information
Teaching Assistant 洪廖憶/ Office: ST634(Ext 32534)
Recitation Class Friday 14:10-15:00  [ AG202] 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 Transcendental, Metric Version by James Stewart
Week Date Course Topics and Class Schedule
Course Reading Materials Links
 
1 02/20: Review

02/22: 7.1 Integration by Parts

2 02/27: 7.2 Trigonometric Integrals/7.3 Trigonometric Substitution

02/28: Happy Holidays!
3 03/06: 7.4 Integration of Rational Functions by Partial Fractions

           9.3 Polar Coordinates/7.7 Improper Integrals

03/08: Recitation Class
4 03/13: 10.1 Sequences/10.2 Series

03/15: Recitation Class
5 03/20: 10.3-10.6 Tests for Convergence

03/22: 1st Examination Part I(7.1-7.4, 7.7)
6 03/27: 10.8/10.9 Power Series and its Applications

03/29: 1st Examination Part II(10.1-10.6)
7 04/03: Happy Spring Break!

04/05: Happy Spring Break!
8 04/10: Review

04/12: Recitation Class
9

04/13: 2nd Examination=Mid-term Exam 08:10~09:50 (Place to be announced)
10 04/24: Go over Mid-term/10.10/10.11 Taylor Polynomials and its Applications

04/26: Recitation Class

11 05/01: 12.1 Functions of Several Variables/12.3 Partial Derivatives

12.4 Tangent Planes and Linear Approximations

05/03: Recitation Class
12 05/08: Differentiability/12.5 The Chain Rule

05/10: Recitation Class
13 05/15: 12.6 Directional Derivatives and the Gradient Vector/12.7 Maximum and Minimum Values

05/17: 3rd Examination Part I(10.9-12.5)
14 05/22: 12.8 Lagrange Multipliers

05/24: 3rd Examination Part II(12.4-12.8)
15 05/29: 13.1/3.2 Double Integrals  

05/31: Recitation Class
16 06/05: 13.3 Double Integrals in Polar Coordinates

06/07: Happy Holidays!
17 06/12: Review

06/14: Recitation Class
18 06/15: Final Exam 08:10~09:50 (Place to be announced)

■ Grading Policy

　 Assessment Item Percentage Description
1 1st Exam 20% 03/22&03/29
2 2nd Exam 20% 04/13
3 3rd Exam 20% 05/17&05/24
4 4th Exam  20% 06/15
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/