Math 5710                    Advanced Calculus II                    Spring 2019


Instructor:  Dr. Jim Zhu
Office: 5533 EV, Tel: 387-4535, e-mail: zhu@wmich.edu
Web: http://homepages.wmich.edu/~zhu/
Office Hours: T. Th. 1:50-2:20pm,Others by appointment
Class Hours:  T. Th. 8:00-9:15 RH 3307
Text:  Advanced Calculus: Theory and Practice, John Srdjan Petrovic

 


General: This course is a sequel of Math 5700 Advanced Calculus I. We continue to discuss rigorous treatment of topics in calculus and will forcus on the following.
        1. Infinite series (Chapters 7, 8, and 9)
        2. Differentiation and integration for functions with several variables (Chapters 10,11,12, and 14)
        3. Fundamental theorems (Chapter 15)
Students are responsible for all material in the text and all material presented in class. This includes any material not in the text and all material in the text that was not presented in class.

Study hint: The only way to learn mathematics is by doing it. This is particularly true in this course. The course will be problem solving oriented. I will highlight the main concepts, theorems and techniques and ask you to read the details and do exercises. The exercises will be assigned as boardworks and homeworks. You are encouraged to work in groups. I expect you to ask many questions and will spend a large portion of the class meeting time to discuss them
form study groups. I expect your active participation in the discussion.


Homework and boardwork:  You can find a homework and boardwork assignment below along with a tentative schedule.

You will be assigned to groups, for the purpose of preparing homework and boardwork. Groups are encouraged to turn in just one version of the homework, provided they actually work together. Names of group members on the top sheet will get the same credit. Homework is due at the beginning of class on the due date.

Almost everyday, certain groups will be responsible for preparing a problem for presentation. The presentor should come to the class somewhat early and put the problem on board. The presentor get 1 point for a satisfactory presentation.

Exams:  Two exams will be given on Feb. 16 and March 23. No make up exams will be given.

Final:  The final exam will be 8:00--10:00 on Tuesday, April 23.

Grading:  The final is 30%,  the exams count for 13% each, the homeworks count for 36% and the boardwork count for 8%. This gives a total of 100%. Grading scale is approximately as follows: 
                                      A (83-100%) BA(78-82.99%) B (72-77.99%) CB(64-71.99%)
                                    C(55-63.99%) DC(43-54.99%) D() E(0-42.99%)

 


 

 

Math 5710 Problems
Section Date  Homework  Due Date   Boardwork[Group](date of presentation)
7.1 1/8 5, 1/15 1-3[A-C] (1/10)
7.2 1/8 3,7 1/15  
7.3 1/8 10 1/15 4-6[C-A](1/15)
7.4 1/10 13 1/15  
8.1 1/15 9,12 1/22 1-3[A-C] (1/17)
      8.2
1/15
2,5 1/22  
8.3
1/17
7,11 1/22 1-3[A-C] (1/22)
8.4 1/22 9.12 1/29 1[C],7[B],8[A](1/24)
8.5 1/24 3,9 1/29 1[A],5[B],8[C](1/29)
9.1 1/29 2,3  2/5  4-6[C-A](1/31)
9.2 2/5 1,9  2/5  3-5[A-C](2/7)
9.3 2/7 2,3  2/12  
10.1 2/12 6,7  2/19  
10.2 2/12  10  2/19  3-5[C-A](2/12)
Exam 1
 2/14
covers chapters 7-9 2/19  
     10.3
2/19
 2,5 2/26  
10.4  2/19 5,7,8 2/26 2-4[A-C](2/21)
10.5
2/21
6,9 2/28 2-4[C-A](2/26)
10.6
2/21
1,4,5 2/28  
10.7 2/26 4,5,6 3/12 1-3[A-C](2/28)
11.1 2/28 5,9 3/12  
11.2 2/28 4,5,7 3/12 1-3[C-A](3/12)
Spring Break
3/4-8
     
      11.3
3/12
8,11 3/19 2-4[C-A](3/14)
11.4 3/14 6,10 3/19 1-3[A-C](3/19)
11.5 3/14 3,4 3/19  
11.6
3/19
5,9 3/26 1-3[C-A](3/21)
12.1
3/21
    1-3[A-C](3/26)
12.2
3/21
2,4,6 3/26  
12.3
3/26
10 4/2 1-3[A-C](4/2)
Exam 2
3/28
  covers chap 10-11    
12.4
4/4
9,10 4/9 1-3[C-A](4/9)
14.1
4/9
3,13  4/16  
14.3
4/9
 1, 9 4/16 2-4[A-C](4/11)
15.1
4/11
1,2,5 4/18  
15.2
4/11
 1,2  4/18  
15.3
4/16
     
Review
4/18
     
 
 
     
Final Exam
4/23
Tuesday   8:00-10:00am