Teaching at UC Davis, Fall 2020

MAT-21B (Section B on Canvas), Integral Calculus: MWF 0900-0950 AM     Join via Zoom on Canvas

Discussions: T 0610-0700 PM and 0710-0800 PM                                             TA: Du, Zhiqian                                  

Honors-21B (Section 0U1 on Canvas): MWF 1210-0100 PM                                  Join via Zoom on Canvas

Discussions: T 0410-0500 PM                                                                                 TA: Santhakumar, Hamilton              

PREREQUISITES: A good working knowledge of differential calculus (courses like MAT 21A). You are responsible for satisfying the prerequisites!

TEACHER OFFICE HOURS: (I do not reply any emails on weekends) T 0800-0950 AM           Use the following link:

TEXTBOOK: Thomas' Calculus Early Transcendentals, 14th Edition by George B. Thomas, Maurice Weir, and Joel Hass; Addison Wesley Publishers, 2018.

(Earlier editions are also fine for your own study. The scan for the Homework problems will be posted below, since they are from the 13th Ed.)

SECTIONS TO BE COVERED: The core consists of Chapters 5,6,7,8 and 11. We will follow very closely the advisory syllabus HERE, not necessarily in that order.

LECTURE NOTES: You may write your own, or download the lecture notes below:

  1. Week 1:                              Sep30            Oct02 Table 4.2 is provided in the notes!
  2. Week 2:    Oct05              Oct07             Oct09
  3. Week 3:    Oct12               Oct14             Oct16
  4. Week 4:    Oct19               Oct21               MT1    
  5. Week 5:    Oct26               Oct28               Oct30  with Appendix to the frustum surface area
  6. Week 6:     Nov2               Nov4                Nov6
  7. Week 7:     Nov9                Holiday           Nov13
  8. Week 8:     Nov16              Nov18             MT2
  9. Week 9:     Nov23              Nov25             Holiday
  10. Week 10:   Nov30              Dec2                Dec4
  11. Week 11:   Dec7                 Dec9                Dec11    SecB    SecU     
  12. Week 12: FINALS:           SecU: Wed                                                      SecB: Thu               

FROM OFFICE HOURSOct13        Nov3         Nov10                

IMPORTANT CAUTION!!!: The homeworks and suggested problems will be selected from the scanned problems below and they could NOT match with the 14th edition problems. Therefore, always use the SCANNED PROBLEMS.

SUGGESTED PRACTICE PROBLEMS by Section (Do not delivery, just for practice. If possible, solve ALL problems from each Section):

4.8: All problems labeled with even numbers from Problem 2 to Problem 88 (thus, 44 problems in total)

5.1: 3, 4, 5, 6                                                5.2: 6, 16, 25, 28, 31, 32, 35, 43, 45                                               5.3:  9, 16, 18, 28, 38, 44, 48, 52, 60, 69, 71, 74, 79, 85              

5.4: All multiples of 5 up to 75, also problems 71,  73, 76, 81, 84   (thus, 18 problems total)

5.5: All multiples of 6 and problem 70 (14 total)                    5.6: All multiples of 10 except 120, and problem 115 (12 total)           

6.1: All multiples of 5                                                                       6.3: All multiples of 4 except 20 and 40, also problems 25, 26 (10 total)

6.4: All multiples of 4, also problems 25, 31 (10 total)                                    6.5: Problem 3 and all multiples of 7                      

7.1:   All multiples of 5, up to problem 60                                        7.2: All multiples of 4, up to problem 36                                                              8.1: All multiples of 4

8.2:  All multiples of 8                               8.3:  All multiples of 6

8.4: All multiples of 4                                8.5: All multiples of 5, except 60                           8.7: All multiples of 6, also problems 27, 28, 37

8.8: Multiples of 5                                            11.1: Multiples of 4, up to 40                        11.2: Multiples of 6                        11.3: Multiples of 5.

OPTIONAL READING: (For examples and exercises)

  • Professor Kouba Mat21B Website  [link]

GRADE: We will use Canvas for grading. Course grade will be based on the following:

  • 2 Homeworks:         (Wed, October 7 Due 14, November 4 Due 11)             30 points each
  • TakeHome Midterm 1  (Friday, October 23,     During Class Time):                                                 100 points
  • TakeHome Midterm 2  (Friday November 20, During Class Time):                                                 100 points
  • Final (Section B: Thu, December 17—1:00 p.m.-3:00 p.m., \\ \\ \\ Section 0U1: Wed, December 16—1:00 p.m-3:00 p.m.).  It covers the whole course:                         200 points
  • TOTAL: 460 points.

MIDTERMS AND FINAL RULES: Midterms will start at normal class time, that day, I will be on Zoom about 20 minutes, just in case you are having technical problems, but I will not answer any questions related to interpretation of the exam; you do NOT need to connect via Zoom unless you are having technical problems to receive the exam. The exam will be posted below, then you will have 1 hour to solve it (remember the academic integrity) and 5 extra hours to submit your solutions on Canvas. 

For Final same Zoom rules, you will have 2 hours to solve the exam (remember the academic integrity) and 5 extra hours to submit your solutions on Canvas.

HOMEWORKS:     Both of them are Due at 5:00PM. Solve and upload your solutions to ALL problems on Canvas (pdf and jpg files are fine); after the Due, only 3 problems will be randomly selected and graded, each problem is worth 10 points.

  • Homework 1: Download  HERE!!!
  • Sample Midterm 1:  Download   HERE!      Correction. Problem 3(b) last line: 2/9 instead of 2.  Solutions_to_Problem_1
  • Midterm 1: For Section B. Ready!!! Download_HERE          Solutions!  
  • Midterm 1: For Section U. Download_HERE                 Solutions!    
  • Homework 2:   Download HERE!!!   
  • Sample Midterm 2: Download HERE        Typo: There are four problems 1,2,3,4, but they are labeled as 1,2,2,4, nothing to worry about, since this is a sample. In your exam there will be 4 problems as well and all lab                                                          REMARK: In Problem 1, \(g\) denotes the gravity constant and \(\rho= m/V\)  is the density.  
  • Solutions to Problem 4. HERE!   Typo: In item (a) solution: \(\ \ \dfrac{dy}{dx}=\pm\dfrac{1}{2\sqrt{x}}\), meaning + for \(y_1\) and \(-\) for \(y_2\)
  • Midterm 2, Section B. Download HERE!   Solutions     
  • Midterm 2, Section 0U1.  Download   HERE0U1!!   Solutions   
  • Sample Final: Download HERE!    Solutions_to _problem_4.  
  • Final: We will evaluate ALL covered sections. And each question has to be uploaded in a different link via Gradescope, instead of a single file.
  • FINAL Section B: Download HERE  


Grading curve: Will be set at the end of the course, depending on the mean (over all students) of the total number of points. However, students having less than 40% will be assigned grade F and students in the range 41-50% will be assigned grade D.


Use of books, notes, calculators, or anything else but pencil and paper, will not be allowed in the final (you will sign the Honor Statement).

Talking, texting, newspaper reading, etc. disrupt the lectures, use electronic devices for non-academic purposes during lectures is prohibited.

If you have any problem at all that requires special accomodation, please let me know well in advance!

There will be no make-up homeworks nor make-up exams. A missed exam counts as 0 points. If you miss the final you will automatically receive an F. The grade I (Incomplete) will not be given in any circumstances.



By signing the ..., I hereby declare that I solved this exam by my own, without any external collaboration (like friends, internet solutions, etc). If needed, I am allowed to use our lecture notes only. I understand that the main purpose of this exam is to show how much I have learned in this course, holding myself to a high standard of academic integrity, and that suspected misconduct on this exam will be reported to the Office of Student Support and Judicial Affairs and, if established, will result in disciplinary sanctions up through Dismissal from the University and a grade penalty up to a grade of ‘F’ for the course.