週次

Week

課程主題

Topic

課程內容與指定閱讀

Content and Reading Assignment

教學活動與作業

Teaching Activities and Homework

學習投入時間 Student workload expectation

課堂講授 In-class Hours

課程前後

Outside- of-class Hours

1

Introduction, Limits

Sections

1.1-1.5

Selected exercises

3

5

2

Limits

1.1-1.5

Selected exercises

3

5

3

Derivatives

2.1-2.5

Selected exercises

3

5

4

Extrema

3.1-3.3

Selected exercises

3

5

5

Concavity, Curve Sketching

3.4-3.6

Selected exercises

3

5

6

Optimization

3.7

Selected exercises

3

5

7

Antiderivatives, Integrals

4.1-4.3

Selected exercises

3

5

8

The Fundamental Theorem of Calculus, Substitutions

4.4-4.5

Selected exercises

3

5

9

Midterm

3

5

10

Natural Logarithmic Functions

5.1-5.2

Selected exercises

3

5

11

Inverse Function, Exponential Functions

5.3-5.4

Selected exercises

3

5

12

Indeterminate Forms

5.6-5.7

Selected exercises

3

5

13

Volumes

7.2-7.4

Selected exercises

3

5

14

Integration Rules, Integration by Parts

8.1-8.2

Selected exercises

3

5

15

Trigonometric Integrals, Trigonometric Substitutions

8.3-8.4

Selected exercises

3

5

16

Partial Fractions, Improper Integrals, Improper Integrals

8.5, 8.8

Selected exercises

3

5

17

Selected exercises

3

5

18

Final

3

5