NCHU Course Outline
Course Name (中) 微積分(一)(1917)
(Eng.) Calculus(I)
Offering Dept Department of Applied Mathematics
Course Type Required Credits 3 Teacher Sirilak Sriburadet
Department General Language English Semester 2024-FALL
Course Description Introduce the concepts of limits, derivatives, and integrals. Topics include techniques and applications of derivatives of algebraic and transcendental functions.
Prerequisites
self-directed learning in the course N
Relevance of Course Objectives and Core Learning Outcomes(%) Teaching and Assessment Methods for Course Objectives
Course Objectives Competency Indicators Ratio(%) Teaching Methods Assessment Methods
Cultivate students the methods and calculations of differential and integral as well as the basic of mathematical concepts.
1.Basic Knowledge in Mathematical Sciences
8.English Language Ability
90
10
Lecturing
Assignment
Quiz
Attendance
Course Content and Homework/Schedule/Tests Schedule
Week Course Content
Week 1 Introduction
1. Functions
Week 2 Limits
2. Introduction to Limits
Week 3 3. Limits at Infinity
Week 4 4. Continuity of Functions
Week 5 The Derivative
5. Rules of Finding Derivatives
Week 6 6. Derivatives of Trigonometric Functions
Week 7 7. The Chain Rule
Week 8 8. Higher-Order Derivatives
Week 9 9. Midterm Exam
Week 10 10. Implicit Differentiation
Week 11 Applications of the Derivative
11. Maxima and Minima
Week 12 12. Local Extrema and Extrema on Open Intervals
Week 13 13. The mean value Theorem for Derivatives
Week 14 14. How Derivatives Affect the Shape of a Graph
Week 15 15. Optimization Problems
Week 16 16. Indeterminate Forms and L'Hospital's Rule
Week 17 17. Antiderivatives
Week 18 18. Final Exam
(The contents and progress of the class would be adjusted based on the class situation.)
Evaluation
Attendance and performance: 25%
Homework: 15%
Midterm Exam: 30%
Final Exam: 30%
Textbook & other References
1. James Stewart, Calculus, 7th ed.
2. James Stewart, Calculus(Early Transcendentals), 8th ed.
Teaching Aids & Teacher's Website
Office Hours
暫定
Sustainable Development Goals, SDGs
include experience courses:N
Please respect the intellectual property rights and use the materials legally.Please repsect gender equality.
Update Date, year/month/day:2024/06/27 13:00:58 Printed Date, year/month/day:2024 / 10 / 13
The second-hand book website:http://www.myub.com.tw/