HUANG, Jia-Ping

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Jia-Ping HUANG is an assistant professor at Shenzhen University.

> Teaching > Calculus I


Calculus I (spring 2019)

aka Advanced Mathematics C(1)

This course covers the first half of calculus for business and economics students. Topics contain functions, limits and derivatives, differentiation rules, and applications of differentiation. Exponential and logarithmic functions will be introduced in an early stage while trigonometric and hyperbolic functions are not covered.


Course Information

Course ID: 0208520001
Credit: 4
Lecture time: Session 3-4 (10:20-11:50) on Tuesday/Friday
Classroom: H1-404 Liberal Arts Building (Wen Ke Lou)
Instructor: Dr. Jia-Ping Huang
Office hour: Tuesday 13:00-14:00, 2613 Liberal Arts Building
E-mail: huangjp #at# szu . edu . cn


Prerequisites and Suggestions

Knowledge of pre-university mathematics is required and will be checked on the first lecture. A graphing calculator may be useful for self-study but is not necessary for the course and is forbad in exams. Students may also use online tools such as WolframAlpha (https://www.wolframalpha.com/) to deepen their understanding.


Textbook

James Stewart (2012). Calculus: Early Transcendentals, International Metric Edition, Seventh Edition. Brooks/Cole, Cengage Learnning.
Published in China as 《微积分(第7版)(上册)影印版》, James Stewart, 高等教育出版社, ISBN: 978-7-04-039620-1.


Topics to be Covered

Chapter 1: Functions and Models
Chapter 2: Limits and Derivatives
Chapter 3: Differentiation Rules
Chapter 4: Applications of Differentiation


Grading

Attendance: 10%
Assignments: 10% (5 times)
Mid-term exam: 20%
Final exam: 60%


Schedule

The course has lecture classes and tutorial classes, where in the former we focus on understanding concepts and methods, and in the latter the purpose is how to solve problems. Take-home exercises will be assigned before each tutorial and will be explained during the tutorial. Students must hand in their answers at the beginning of each tutorial class. Answers will be marked, and the best five scores will be recorded as assignments grades.

    Tuesday   Friday  
Week 1 Mar 5 Course info and diagnostic test Mar 8 Introduction
Week 2 Mar 12 Lecture 1-1 Mar 15 Lecture 1-2
Week 3 Mar 19 Lecture 1-3 Mar 22 Lecture 1-4
Week 4 Mar 26 Tutorial 1 Mar 29 Lecture 2-1
Week 5 Apr 2 Lecture 2-2 Apr 5 No class
Week 6 Apr 9 Lecture 2-3 Apr 12 Tutorial 2
Week 7 Apr 16 Lecture 3-1 Apr 19 Lecture 3-2
Week 8 Apr 23 Lecture 3-3 Apr 26 Tutorial 3
Week 9 Apr 30 No class May 3Apr 28 Mid-term exam
Week 10 May 7 Lecture 4-1 May 10 Lecture 4-2
Week 11 May 14 Lecture 4-3 May 17 Review
Week 12 May 21 Tutorial 4 May 24 Lecture 5-1
Week 13 May 28 Lecture 5-2 May 31 Lecture 5-3
Week 14 Jun 4 Tutorial 5 Jun 7 No class
Week 15 Jun 11 Lecture 6-1 Jun 14 Lecture 6-2
Week 16 Jun 18 Tutorial 6 Jun 21 Review
Week 17 Jun 25 Final exam Jun 28 No class

Since the spring holiday of Shenzhen University is not officially announced, this schedule is subject to change. Usually the holiday takes place on the first week of May.
This schedule was revised on Mar 18.
This schedule was revised on May 13.

Diagnostic test: algebra, analytic geometry, functions.
Introduction: the preview section
Lecture 1-1: 1.1
Lecture 1-2: 1.2, 1.3
Lecture 1-3: 1.5
Lecture 1-4: 1.6
Lecture 2-1: 2.1, 2.2
Lecture 2-2: 2.3, (2.4)
Lecture 2-3: 2.5
Lecture 3-1: 2.6
Lecture 3-2: 2.7
Lecture 3-3: 2.8
Lecture 4-1: 3.1
Lecture 4-2: 3.2
Lecture 4-3: 3.4
Lecture 5-1: 3.5
Lecture 5-2: 3.6
Lecture 5-3: 3.7, 3.8
Lecture 6-1: 4.1, 4.2
Lecture 6-2: 4.3


Take-home Exercises

Lecture 1 (due on March 22 → 26):

  • Section 1.1: Exercises 3, 25, 38
  • Section 1.2: Exercises 3, 8, 16
  • Section 1.3: Exercises 5, 31
  • Section 1.5: Exercises 1, 2, 3, 4
  • Section 1.6: Exercises 21, 25, 26, 35

Lecture 2 (due on April 12):

  • Section 2.2: Exercises 4, 8, 11, 29, 31
  • Section 2.3: Exercises 2(a,e), 4, 9, 10, 37, 48, 55
  • Section 2.5: Exercises 3, 4, 14, 39, 56(a)

Lecture 3 (due on April 26):

  • Section 2.6: Exercises 2, 13, 17, 27, 35, 59
  • Section 2.7: Exercises 5, 9(a,b), 29, 32, 45
  • Section 2.8: Exercises 3, 6, 11, 17, 18, 25

Lecture 4 (due on May 17):

  • Section 3.1: Exercises 7, 10, 14, 19, 27, 51
  • Section 3.2: Exercises 1, 2, 3, 16
  • Section 3.4: Exercises 2, 3, 5, 6

Lecture 5: to be announced
Lecture 6: to be announced


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