課程名稱 
微積分乙上 CALCULUS (GENERAL MATHEMATICS) (B)(1) 
開課學期 
961 
授課對象 

授課教師 
朱建正 
課號 
MATH1203 
課程識別碼 
201 101B1 
班次 
19 
學分 
3 
全/半年 
全年 
必/選修 
必修 
上課時間 
星期二1,2(8:10~10:00)星期四3,4(10:20~12:10) 
上課地點 
新502新502 
備註 
96新生上不及格，下不得修習。限管院各系、地理、經濟等系學生修習 總人數上限：70人 


課程簡介影片 

核心能力關聯 
本課程尚未建立核心能力關連 
課程大綱

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課程概述 
Chapter 1: The definition and representation of real valued functions. Inverse functions and the composition of functions.
Chapter 2: Real numbers. The limits of sequences and functions.
Chapter 3: Tangent line and derivative of functions.
Chapter 4: Implicit differentiation. The differentiation of parametric equations. The geometric meaning of derivative. First order approximation.
Chapter 5: Mean value theorem. Second order and higher order derivatives. Cauchy Theorem. Indeterminate form. L’Hopital rule.
Chapter 6: The graphs of functions and approximate lines. Taylor polynomials.
Chapter 7: Definite integral. The fundamental theorem of calculus.
Chapter 8: The method to calculate indefinite integral.
Chapter 9: Application of definite integral. Approximate integral and general integral.
Chapter 10: Functions of several variables.
Chapter 11: Partial differentiation, tangent planes, gradients and directional derivatives.
Chapter 12: Limit of several variables functions. Lagrange multipliers.
Chapter 13: Multiple integration.
Appendix: Infinite serials, change variable of polar coordinate, some simple differential equation. 
課程目標 
We make discussion team(35 people per term) in class. We encourage discussion and asking problems. You may turn in your exercises. I will check if there is anything wrong. But this is not required and this will not affect your grade.

課程要求 
評量 There are midterm and final exams. Each of exams determines 50% of score. Besides, there are 35 exercise sections each semester. If you attend, do and turn in your exercise, you can get 2 score. You can also get some partial score if you only attend or do. The date of exams is determined by voting. The time for each test is about 3.5 hours. The problems given in the exercise sections are similar to the problems in the exams except changes of the functions. As a matter of fact, we will list description of all problems of the exam several days in advance.
If you can complete some challenging works, like derive all formula in the table of indefinite integral, you are guaranteed to be scored at least 80 in the second semester

預期每週課後學習時數 

Office Hours 

參考書目 
Lecture note.

指定閱讀 

評量方式 (僅供參考) 

