Course title 
CALCULUS (3) 
Semester 
1112 
Designated for 
DEPARTMENT OF ECONOMICS 
Instructor 
SERWEI FU 
Curriculum Number 
MATH4008 
Curriculum Identity Number 
201E49830 
Class 
13 
Credits 
2.0 
Full/Half Yr. 
Half 
Required/ Elective 
Preassign 
Time 
第1,2,3,4,5,6,7,8 週 Monday 3,4(10:20~12:10) Thursday 3,4,10(10:20~18:20) 
Remarks 
Restriction: within this department (including students taking minor and dual degree program) The upper limit of the number of students: 160. 


Course introduction video 

Table of Core Capabilities and Curriculum Planning 
Table of Core Capabilities and Curriculum Planning 
Course Syllabus

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Course Description 
Calculus of multivariable functions together with its profound applications in various subject areas are introduced in this halfsemester course. Especially, topics about differentiation include limits, partial derivatives, directional derivatives, tangent planes, linear approximations, and the chain rule. Also, applications such as finding extreme values and methods of Lagrange multipliers are discussed. Topics about integration involve definitions of multiple integrals and iterated integrals, Fubini’s theorem, change of variables, and how multiple integrals are used in probability.
Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course
also provides discussion sessions in which students are able to improve their skills in handling calculations in Calculus and complete small projects under the guidance of our teaching assistants. 
Course Objective 
Students would be familiar with Calculus as a tool and be able to apply it in Economics areas after finishing this course. 
Course Requirement 
Before taking this course, students should be already skilled in high school mathematics and finish the online Precalculus Self Diagnostic Test which is designed for NTU freshmen.
Students are expected to attend and participate actively in lectures as well as discussion sessions. 
Student Workload (expected study time outside of class per week) 
At least 4 hours. 
Office Hours 
Appointment required. Note: Office hours will be announced after the semester starts. Discussions before/after class or by email are welcomed. 
References 
微積分統一教學網站: http://www.math.ntu.edu.tw/~calc/Default.html
台大微積分考古題: http://www.math.ntu.edu.tw/~calc/cl_n_34455.html
數學知識網站: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal
免費線上數學繪圖軟體 Desmos Calculator: https://www.desmos.com/calculator
免費知識型計算引擎: https://www.wolframalpha.com 
Designated reading 
James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition. 
Grading 
No. 
Item 
% 
Explanations for the conditions 
1. 
Exam 
50% 

2. 
Quiz 
20% 

3. 
Homework 
30% 


Adjustment methods for students 
Teaching methods 
Assisted by video 
Assignment submission methods 

Exam methods 

Others 
Negotiated by both teachers and students 
