Course Plan of TungHai University for Spring 2019
I. Course Information
Department Applied Mathematics
Course Title Calculus A2 in English
Course Number 4190 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 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 Transcendental, Metric Version by James Stewart
Week Date Course Topics and Class Schedule
Course Reading Materials Links
 
1 02/19: Parametric Equations/Polar Coordinates

02/21: Review/7.1 Integration by Parts

2 02/26: 7.2 Trigonometric Integrals/7.3 Trigonometric Substitution

02/28: Happy Holidays!
3 03/05: 7.4 Integration of Rational Functions by Partial Fractions

03/07: More Examples /Recitation Class
4 03/12: 7.7 Improper Integrals/10.1 Sequences

03/14: 10.1 Monotone Convergence Theorem/Series/Recitation Class
5 03/19: 10.2-10.5 Series and Tests for Convergence

03/21: 10.6 Absolute Convergence/Recitation Class
6 03/26: Recitation Class/1st Examination Part I(7.1-7.4, 7.7)

03/28: 10.8/10.9 Power Series and More
7 04/02: Recitation Class/1st Examination Part II(10.1-10.6)

04/04: Happy Spring Break!
8 04/09: Review

04/11: Review/Recitation Class
9

04/13: 2nd Examination=Mid-term Exam 08:10~09:50 (Place to be announced)
10 04/23: Go over Mid-term Exam

04/25: 10.10/10.11 Taylor Series and its  Applications

11 04/30: 12.1 Functions of Several Variables/12.3 Partial Derivatives

05/02: 12.4 Tangent Planes and Linear Approximations
12 05/07: 12.5 The Chain Rule

05/09: 12.6 Directional Derivatives
13 05/14: Differentiability/Recitation Class

05/16: 12.7 Maximum and Minimum Values and the Gradient Vector
14 05/21: 12.8 Lagrange Multipliers/Recitation Class

05/23: 13.2 Double Integrals/3rd Examination Part I(10.9-12.5)
15 05/28: 13.2 Double Integrals/3rd Examination Part II(12.4-12.8)

05/30: 13.3 Double Integrals in Polar Coordinates
16 06/04: 13.3 Double Integrals in Polar Coordinates

06/06: Happy Holidays! Yes, no class!
17 06/11: Review

06/13: 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% 03/26&04/02
2 2nd Exam 20% 04/13
3 3rd Exam 20% 05/23&05/28
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/