MAT 193 Calculus II, Section 80, CN 24426 Spring 2021

Class meets online via zoom MWF 10:00 AM - 11:25 AM, the zoom meeting information will be announced on Blackboard

Instructor: Serban Raianu, office: NSM E-108, office phone number: (310) 243-3139,

office hours: Monday, Wednesday: 11:30 AM - 1:00 PM, Friday: 11:30 AM – 12:30 PM, or by appointment.

Course Description: MAT 193, Calculus II, covers Chapters 1-3 from the textbook: techniques and applications of integration, sequences and series, power series, Taylor series.

Text: CLP-2 Integral Calculus, by Joel Feldman, Andrew Rechnitzer, Elyse Yeager, available online at http://www.math.ubc.ca/~CLP/

Objectives: After completing MAT 193 the student should be able to:

• Use more advanced techniques of integration such as integration by parts or integration by trigonometric substitution to evaluate common integrals without the use of tables.
• Apply theory of integration in finding volumes of solids, work, centers of gravity and average values of functions.
• Attain good working skills, with the aid of graphing calculators, in obtaining approximate values of definite integrals.
• Test for convergence or divergence of sequence and series, find interval of convergence for power series and represent functions as Taylor series.

Prerequisites: MAT 191 or equivalent with a grade of "C" or better.

Grades: Grades will be based on two zoom video meetings 15-minutes examinations (50% total), a comprehensive final examination (20%), and quizzes, homework, video and other assignments (30%) for the remainder.

An oral examination will consist in giving a definition or a statement for a notion or result studied in class, and explaining two homework problems from the homework assignments. A list of the possible definitions and statements is posted on Blackboard. A definition or a statement will be chosen by selecting a random number from 1 to the number of definitions and statements on the list. The homework problems will be selected by choosing randomly the lecture number, then a problem number from 1 to the total number of problems in the assignment corresponding to that lecture. For example, the definition/statement number 5 will refer to the fifth item on the list of possible definitions or statements on the list. The homework problem (1,13) will refer to problem 9 in Section 1.3 in CLP-1: this is the 13th problem in the homework assignment for Lecture 1.1. Each of the two oral exams will be graded on a 100 scale, then the sum of the scores is divided by 4 and denoted by E.

Homework will be due every week, the day before quiz days, and each homework is worth 10 points. Each week two of the problems from the homework due for that week will be selected and graded on a scale from 0 to 3. The remaining 4 points will be awarded for completeness of the homework assignment. Submitting solutions copied from the back of the book will bring little or no credit, since copying solutions will not prepare you for answering questions during the oral examinations. The average of all homework scores is denoted by H. Homework will be submitted as a pdf with your paper work on Gradescope. There is no need to match the pages with the problems when submitting the homework, see

Gradescope can be accessed from the link in Content in your Blackboard course, and you can practice submitting your work on Gradescope using the assignment called Submission practice, which will remain open throughout the semester. You might be asked to explain your work on a submitted problem. Failure to provide an explanation might result in a score of zero for the entire homework assignment. No late homework will be accepted.

15 minutes quizzes will be given every week, and will be graded on a scale from 1 to 10. The average of the quizzes scores is denoted by Q. While taking the quiz the video camera on zoom needs to be on and you need to be in the frame. Each quiz will consist of one problem, similar but not necessarily identical to one of the homework problems assigned for that week. The quiz will be taken on Gradescope, where you will read the problem and submit your written answers. No makeup quizzes will be offered.

There are also 10 points awarded for explaining one homework problem on video. This portion of the grade is denoted by V. Videos will be due the day before quiz days and will have to be uploaded on Flipgrid

The homework problems from which to choose one problem to explain on video appear in boldface in the schedule below. No late submissions will be accepted.

The final exam, which will consist of fifteen problems similar to problems assigned as homework throughout the semester, will be graded out of a maximum possible 200, then the score is divided by 10 and denoted by F. The final exam will be taken on Gradescope, and the camera on zoom needs to be on (with you in the frame) for the duration of the final exam. When submitting the work for the final exam pages and problems will have to be matched, failure to do that might result in points deducted. Webcams can be requested from the IT department if necessary.

To determine your final grade, compute E+H+Q+V+F. The maximum is 100, and the grade will be given by the rule:

A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82

C+: 77‑79; C: 73‑76; C‑: 70‑72; D+: 67‑69; D: 60‑66; F: Less than 60. You will be able to follow your progress in the class in Blackboard under Grade Center throughout the semester.

Accommodations for Students with Disabilities: California State University, Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Student disAbility Resource Center (SdRC) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the SdRC in WH D-180. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

Academic Integrity: The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".) Using homework solving or derivative/integral computing websites, or collaborating in chat rooms during tests in this class is prohibited, the penalty for being caught is an automatic F in the class and referral for disciplinary action.

Technology: Symbolic calculators, such as TI-89, TI-92 or TI-nspire CAS are not acceptable for this course.

Exam and quiz rules: Students must email a picture of their CSUDH student ID at the beginning of the semester, then they have to be on zoom with the camera on for the duration of the quiz/exam. Cell phones, headphones, and browsing the internet (other than connecting to Gradescope) may not be used at all during tests.

Tentative schedule and homework assignments

M 1/25:           Lecture 1.1: 1.7 Integration by parts: 1,3,5,7,9,11,13,15,17,19,21,23 (12 problems)

W 1/27:           Lecture 1.2: 1.7 Integration by parts: 2,4,6,8,10,12,14,16,18,20,22 (11 problems)

F 1/29:            Lecture 1.3: 1.8 Trigonometric Integrals: 1,3,5,7,9,11,13,15,17,19,21,25,27,29 (14 problems)

M 2/1:             Lecture 1.4: 1.8 Trigonometric Integrals: 2,4,6,8,10,12,14,16,18,20,22,24,26,28 (14 problems)

Tu 2/2:            At 10 pm: two assignments due:

-       homework assignment 1 due on Gradescope (Lectures 1.1-1.4);

-       video 1 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 1.1-1.4.

W 2/3:             At 10:00 am: Quiz 1 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 1.1-1.4. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 1.5: 1.9 Trigonometric Substitution: 1,3,5,7,9,11,13,15,17,19,21 (11 problems)

F 2/5:              Lecture 1.6: 1.9 Trigonometric Substitution: 2,4,6,8,10,12,14,16,18,20,22 (11 problems)

Su 2/7:            At 10 pm: two assignments due:

-       homework assignment 2 due on Gradescope (Lectures 1.1-1.4);

-       video 2 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 1.5 and 1.6.

M 2/8:             At 10:00 am: Quiz 2 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 1.5 and 1.6. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 1.7: 1.10 Partial Fractions: 1,3,5,7,9,11,13,15,17,9,21,23 (12 problems)

W 2/10:           Lecture 1.8: 1.10 Partial Fractions: 2,4,6,8,10,12,14,16,18,20,22,24 (12 problems)

F 2/12:            Lecture 1.9: 1.11 Numerical Integration 1,3,5,9,11 (5 problems)

M 2/15:           Presidents Day Holiday

Tu 2/16:          At 10 pm: two assignments due:

-       homework assignment 3 due on Gradescope (Lectures 1.7-1.9);

-       video 3 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 1.7-1.9.

W 2/17:           At 10:00 am: Quiz 3 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 1.7-1.9. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 1.10: 1.12 Improper Integrals: 1,2,3,6,9,11 (6 problems)

F 2/19:            Lecture 1.11: 1.13 More Integration Examples: 1,3,5,7,9,11,13,15,17,19,21 (11 problems)

M 2/22:           Lecture 1.12: 1.13 More Integration Examples: 2,4,6,8,10,12,14,16,18,20,22 (11 problems)

Tu 2/23:          At 10 pm: two assignments due:

-       homework assignment 4 due on Gradescope (Lectures 1.10-1.12);

-       video 4 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 1.10-1.12.

W 2/24:           At 10:00 am: Quiz 4 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 1.10-1.12. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 1.13: 1.5 Areas between Curves: 1,3,5,7,9,11,13,15,17 (9 problems)

F 2/26:            Lecture 1.14: 1.5 Areas between Curves: 2,4,6,8,10,12,14,16,18 (9 problems)

M 3/1:             Lecture 1.15: 1.6 Volumes: 1,3,5,7,9,11,13,15,17,19,21 (11 problems)

W 3/3:             Lecture 1.16: 1.6 Volumes: 2,4,6,8,10,12,14,16,18,20,22 (11 problems)

F 3/5:              Lecture 1.17: 2.1 Work: 1,3,5,7,9,11,13,15,17,19 (10 problems)

Su 3/7:            At 10 pm: two assignments due:

-       homework assignment 5 due on Gradescope (Lectures 1.13-1.16);

-       video 5 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 1.13-1.16.

M 3/8:             At 10:00 am: Quiz 5 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 1.13-1.16. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 1.18: 2.1 Work: 2,4,6,8,10,12,14,16,18 (9 problems)

W 3/10:           Lecture 1.19: 2.2 Averages: 1,3,5,7,9,11,13,15,17,19 (10 problems)

Th 3/11           At 10 pm: two assignments due:

-       homework assignment 6 due on Gradescope (Lectures 1.17-1.19);

-       video 6 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 1.17-1.19.

F 3/12:            At 10:00 am: Quiz 6 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 1.17-1.19. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Review

M 3/15:           Oral Exam Week 1

W 3/17:           Oral Exam Week 1

F 3/19:            Oral Exam Week 1

M 3/22:           Lecture 2.1: 2.3 Center of Mass and Torque: 1,3,5,7,9,11,13,15,17 (9 problems)

W 3/24:           Lecture 2.2: 2.3 Center of Mass and Torque: 2,4,6,8,10,12,14,16,18 (9 problems)

F 3/26:            Lecture 2.3: 2.4 Separable Differential Equations: 1,3,5,7,9,11,13,15,17,19,21 (11 problems)

M 3/29:           Spring Recess

W 3/31:           Spring Recess

F 4/2:              Spring Recess

M 4/5:             Lecture 2.4: 2.4 Separable Differential Equations: 2,4,6,8,10,12,14,16,18,20,22 (11 problems)

Tu 4/6:            At 10 pm: two assignments due:

-       homework assignment 7 due on Gradescope (Lectures 2.1-2.4);

-       video 7 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 2.1-2.4.

W 4/7:             At 10:00 am: Quiz 7 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 2.1-2.4. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 2.5: 3.1 Sequences: 1,3,5,7,9,11,13,15,17,19 (10 problems)

F 4/9:              Lecture 2.6: 3.1 Sequences: 2,4,6,8,10,12,14,16,18,20 (10 problems)

Su 4/11:          At 10 pm: two assignments due:

-       homework assignment 8 due on Gradescope (Lectures 2.5-2.6);

-       video 8 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 2.5-2.6.

M 4/12:           At 10:00 am: Quiz 8 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 2.5-2.6. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 2.7: 3.2 Series: 1,3,5,7,9,11,13,15,17,19,21,23 (12 problems)

W 4/14:           Lecture 2.8: 3.2 Series: 2,4,6,8,10,12,14,16,18,20,22,24 (12 problems)

F 4/16:            Lecture 2.9: 3.3 Convergence Tests: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33 (17 problems)

M 4/19:           Lecture 2.10: 3.3 Convergence Tests: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32 (16 problems)

Tu 4/20:          At 10 pm: two assignments due:

-       homework assignment 9 due on Gradescope (Lectures 2.7-2.10);

-       video 9 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 2.7-2.10.

W 4/21:           At 10:00 am: Quiz 9 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 2.7-2.10. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 2.11: 3.4 Absolute and Conditional Convergence: 1,3,5,7,9,11,13,15 (8 problems)

F 4/23:             Lecture 2.12: 3.4 Absolute and Conditional Convergence: 2,4,6,8,10,12,14 (7 problems)

Su 4/25:          At 10 pm: two assignments due:

-       homework assignment 10 due on Gradescope (Lectures 2.11-2.12);

-       video 10 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 2.11-2.12.

M 4/26:           At 10:00 am: Quiz 10 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 2.11-2.12. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 2.13: 3.5 Power Series: 1,3,5,7,9,11,13,15,17,19,21 (11 problems)

W 4/28:           Lecture 2.14: 3.5 Power Series: 2,4,6,8,10,12,14,16,18,20,22 (11 problems)

F 4/30:            Lecture 2.15: 3.6 Taylor Series: 1,3,5,7,9,11,13,15,17,19,21,23,25 (13 problems)

Su 5/2:            At 10 pm: two assignments due:

-       homework assignment 11 due on Gradescope (Lectures 2.13-2.14);

-       video 11 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 2.13-2.14.

M 5/3:             At 10:00 am: Quiz 11 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 2.13-2.14. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Lecture 2.16: 3.6 Taylor Series: 2,4,6,8,10,12,14,16,18,20,22,24 (12 problems)

Tu 5/4:            At 10 pm: two assignments due:

-       homework assignment 12 due on Gradescope (Lectures 2.15-2.16);

-       video 12 explaining one homework problem due on Flipgrid (choose one problem from the boldface problem numbers in Lectures 2.15-2.16.

W 5/5:             At 10:00 am: Quiz 12 on Gradescope, due at 10:15 am, one problem similar to one of the problems in Lectures 2.15-2.16. On zoom with camera on and in the frame for all 15 minutes.

At 10:15 am: Review

F 5/7:              Oral Exam Week 2

M 5/10:           Oral Exam Week 2

W 5/12:           Oral Exam Week 2

F 5/14:            Review

Final examination: Monday, May 17, 10:00 AM - 12:00 PM.

Important Dates: