Academic Year/Semester: 111-1
Course Number: 130065
Instructor: Chun-Che Huang
Course Title: Calculus (1)
Grade: 1 Credits: 3.0
Class location: Room 260, Management Building
Class hours: 2bcd
This course can cultivate the following core competencies for students:
- Management decision-making ability (Bachelor’s degree program)
- Information technology application and innovation ability (Bachelor’s degree program)
Course objectives:
This course aims to guide students to learn the concepts and theories of calculus, and to help them understand the practical applications of calculus through relevant examples. In addition, it aims to enhance students’ thinking and reasoning abilities and to deepen their understanding of the importance of calculus in management science. After completing the calculus course, students can apply what they have learned in differential calculus to find rates of change and optimizations in the future. In terms of integral calculus, it can be used to calculate total quantities, which is helpful for decision-making and analysis in management. The logical training in the course can also provide students with better training in design and fact discrimination.
Instructor office hours:
Professor Huang, Jun-Zhe: Tuesday, Thursday, Friday 12:00-13:00, Management Building Room 5040, and also available by email.
TA: Monday 18:00-19:00, Management Building Room 304.
Teaching approach:
The course will be conducted through lectures and discussions. Basic concepts, characteristics, and applications of calculus will be introduced to help students solve problems logically. In case of remote learning, online tools such as bbb/Google Meet will be used, and notifications and announcements will be made through email and on MOODLE.
Grading criteria:
For those in groups, the grading criteria are as follows:
Grading Item Grading Percentage
Group performance and assignments (including case study presentation) 20%
Exam 80%
Course schedule (week, topic, activities, evaluation/assignment, text, etc.):
Week 1: Introduction, Lecture, Homework
Week 2: 2.6 The Derivatives, Lecture, Homework p145-149
Week 3: 3.1 Basic Rules of Differentiation, Lecture, Homework p164-168
3.2 The Product and Quotient Rules, Lecture, Homework p177-179
Week 4: 3.3 The Chain Rule, Lecture, Homework p189-192,
3.5 Higher-Order Derivatives, Lecture, Homework p212-213
Week 5: 4.1-4.2 Application of the First and Second Derivatives, Homework p260-283
Week 6: 4.4-4.5 Optimization, Lecture, Homework p305-310
Week 7: Exam 1
Week 8: 5.1-5.2 & 5.4 Differentiation of Exponential Functions, Lecture, Homework p366-369
5.5 Differentiation of Logarithmic Functions, Lecture
Week 9: 6.1 Anti-derivatives and the Rules of Integration, Lecture/Discussion in class, Homework (p406-411)
6.2 Integration by Substitution, Lecture/Discussion in class, Homework (p418-420)
Week 10: 6.3 Area and the Definite Integral, Lecture/Discussion in class, Homework (p427-428)
6.4 Fundamental Theorem of Calculus, Lecture/Discussion in class, Homework (p438-440)
Week 11: 6.5 Evaluating Definite Integrals, Lecture/Discussion in class, Homework (p448-451)
7.1 Integration by Parts, Lecture/Discussion in class, Homework (p488-490)
Week 12: 7.2 Integration using tables of integrals, Lecture/Discussion in class,
7.4 Improper Integrals, Lecture/Discussion in class, Homework (p518-519)
Week 13: 8.1 Functions of Several Variables, Lecture/Discussion in class, Homework (p538-540)
8.2 Partial Derivatives, Lecture/Discussion in class, Homework (p550-552)
Week 14: 8.3 Maxima and Minima of Functions of Several Variables, Lecture/Discussion in class, Homework (p561-563)
8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers, Lecture/Discussion in class, Homework (p583-585)
Week 15: 8.6 Total Differentials, Lecture/Discussion in class, Homework (p590-591)
8.7 Double Integrals, Lecture/Discussion in class, Homework (p597-598)
9.2 Separation of variables
Week 16: Independent study (9.1 & 9.3) Remedial course and exam
Week 17: Exam 2
Week 18: Independent study (9.1 & 9.3) Remedial course and exam.
