教學大綱 Syllabus

科目名稱:微積分(一)

Course Name: Calculus (I)

修別:必

Type of Credit: Required

3.0

學分數

Credit(s)

180

預收人數

Number of Students

課程資料Course Details

課程簡介Course Description

This Calculus I course covers differentiation techniques and their applications in economics and other disciplines

核心能力分析圖 Core Competence Analysis Chart

能力項目說明


    課程目標與學習成效Course Objectives & Learning Outcomes

    This course enables students to apply differentiation techniques to a variety of fields, including economics, public finance, and statistics.

    每周課程進度與作業要求 Course Schedule & Requirements

     

     

    Week

    Subject

    Reading

    HWK/ Hours

    1 (9/4)

    Basic Math Review

    Larson 1.1-1.3

    HWK1/ 7hours

    2 (9/11)

    Function, Limit, Continuity

    Larson 1.4-1.6

    HWK1/7 hours

    3 (9/18)

    Differentiation

    Larson 2.1-2.4

    HWK2/7 hours

    4 (9/25)

    Chain Rule & Higher-Order Derivatives

    Larson 2.5-2.6

    HWK2/ 7hours

    5 (10/2)

    1st quiz

     

     

    6 (10/9)

    Implicit Differentiation & Related Rates

    Larson 2.7-2.8 

    Hwk 3/ 7 hours

    7 (10/16)

    Applications of Derivative

    Larson 3.1-3.5

    HWK3/ 7hours

    8 (10/23)

    Midterm

     

     

    9 (10/30)

    Asymptotes and Differentials

    Larson 3.6-3.8

    HWK4/ 7hours

    10 (11/6)

    Exponential and Logarithmic functions

    Larson 4.1-4.5

    HWK4/ 7hours

    11 (11/13)

    Functions of Several Variables

    Larson 7.1-7.3

    HWK5/ 7hours

    12 (11/20)

    Partial Derivatives

    Larson 7.4

    HWK5/ 7hours

    13 (11/27)

    Extrema of Function of Several Variables

    Larson 7.5

    HWK5/ 7hours

    14 (12/4)

    Lagrange Multiplier

    Larson 7.6-7.7

     

    15 (12/11)

    Final Examination

     

     

    16 (12/18)

    Video Presentation Submission

     

     

     

    授課方式Teaching Approach

    50%

    講述 Lecture

    20%

    討論 Discussion

    10%

    小組活動 Group activity

    20%

    數位學習 E-learning

    0%

    其他: Others:

    評量工具與策略、評分標準成效Evaluation Criteria

    Midterm Exam 30%

    Final Exam 30%

    Quiz 10%

    Video Presentation  15%

    Homework 5%

    Participation and Discussion   10%

    TA session and In-Class (Bomus)  3%

    本課程無涉及AI使用

    指定/參考書目Textbook & References

    Larson, Calculus: An Applied Approach, 10th edition,華泰文化

    已申請之圖書館指定參考書目 圖書館指定參考書查詢 |相關處理要點

    維護智慧財產權,務必使用正版書籍。 Respect Copyright.

    本課程可否使用生成式AI工具Course Policies on the Use of Generative AI Tools

    本課程無涉及AI使用 This Course Does Not Involve the Use of AI.

    課程相關連結Course Related Links

    
                

    課程附件Course Attachments

    課程進行中,使用智慧型手機、平板等隨身設備 To Use Smart Devices During the Class

    Yes

    列印