Lecturer: Ming-Cyuan Yang (楊名全)
Email: mcyang@mail.ntou.edu.tw
Phone: (02)24622192 #6678
Webpage: https://cse.ntou.edu.tw/p/412-1063-12352.php?Lang=zh-tw
Course ID: B5711M97
Credits: 3
Objective: The objective of this course is to teach students to fully grasp the basic tool of mathematics, to learn the ability of analyzing and solving problems, and to cultivate students the ability of learning advanced mathematics.
Course Prerequisites: None
Outline:
1.Functions, limits, and continuous functions
2.Differential operations and derivative of basic functions
3.Differential properties and applications
4.Definite and indefinite integrals
5.Applications of integrals
Teaching Method:
1. Lecture notes
2. Assign homework (HW) after each section
3. Help students solving HW at office hours
Reference:
1. Calculus: Early Transcendentals 9/e Metric Version by James Stewart, Daniel K. Clegg, and Saleem Watson. Cengage Learning, 2021. * with additional notes provided by the lecture.
2. Essential Calculus: Early Transcendental Functions 4/e by Ron Larson & Bruce H. Edwards, Cengage Learning, 2018.
Course Schedule (subject to change):
Week Topics
1.Functions and Models
2.Limits and Derivatives
3.Limits and Derivatives
4.Differentiation Rules
5.Differentiation Rules
6.Applications of Differentiation
7.Applications of Differentiation
8.(midterm exam)
9.Integrals
10.Integrals
11.Integrals
12.Applications of Integration
13.Applications of Integration
14.Applications of Integration
15.Techniques of Integration (Selected Topics)
16.Further Applications of Integration (Selected Topics)
17.Differential Equations (Selected Topics)
18.(final term exam)
Evaluation:
Quiz + Homework 40%
Two Midterms and Final Exam 60%