MAT 193 Calculus II,  Section 01, CN 40472, Fall 2010


Class meets MWF 10:00 am - 11:25 am, SBS B203.


Instructor:  Serban Raianu

Office: NSM A-123; Office phone number: (310) 243- 3139

e-mail address:; URL:;

Office hours: Monday, Wednesday: 11:30-1:00, Friday: 11:30-12:30, or by appointment.


Course Description: MAT 193, Calculus II, covers Chapters 6-9 from the textbook: Techniques and applications of integration, Polar coordinates, Sequences and series, power series, Taylor series.


Text: James Stewart, Essential Calculus, Brooks/Cole, 2007.


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, arc length and surface area, work, moments, 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.
  • Understand and use polar coordinates.
  • 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 three in‑class 80-minutes examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, attendance and other assignments (15%) for the remainder.

The exact grading system for your section is the following:

Each of the three 80-minutes exams will be graded  on a 100 scale, then the sum of the scores is divided by 5 and denoted by E.

Homework will be due every Monday, and each homework is worth 5 points. No late homework will be accepted. The average of all homework scores is denoted by H.

5 to 10 minutes quizzes will be given in principle every Monday, and will be graded on a scale from 1 to 5. The average of the quizzes scores is denoted by Q.

There are also 5 points awarded for attendance and class participation. This portion of the grade is denoted by A.

The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F. 

To determine your final grade,  compute E+H+Q+A+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.


WebWorK:  There will be three WebWork assignments. You should go to my web site, follow the link, then log in using as user name your CSUDH email user name (i.e. first initial followed by last name), and your student ID as password (change the password after the first log in). Each of the three assignments are due before 11pm of the day before each of the three exams. Completing an assignment will bring you 10 bonus points toward the grade of the following exam (this is 2 extra points toward your final grade).


Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.


Accomodations for Students with Disabilities: Cal State 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 Disabled Student Services (DSS) 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 DSS in WH B250. 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".)


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


Exam rules: Students must leave their CSUDH student ID on their desk for the duration of the exam. Cell phones, iPhones, iPods, or PDAs of any kind, as well as headphones, may not be used at all during a test. Students are discouraged from leaving the exam room during the period of the exam. Restroom breaks must be kept under five minutes and are limited to one/exam. You will be penalized 5 points if you are gone more than five minutes.  No more than one student can be out of the room at any given time during an exam. If a student finds it necessary to leave the room under these circumstances, they are not permitted to access computer terminals, smoke, read notes/books, or talk with others. If a student is found engaging in this behavior, appropriate disciplinary action will be taken.  Whenever a student leaves the room, they must turn their exam upside down on their desk. All book bags or similar items will be deposited in the front of the class for the duration of the test.




Tentative schedule and homework assignments

M 8/30: 6.1 Integration by Parts: odd, 1-27

W 9/1: 6.1 Integration by Parts: even, 2-28

F 9/3: 6.2 Trigonometric Integrals and Substitutions: odd, 1-33

M 9/6: Labor Day

W 9/8: 6.2 Trigonometric Integrals and Substitutions: odd, 37-61

F 9/10: 6.3 Partial Fractions: odd, 1-17

M 9/13: 6.3 Partial Fractions: odd, 19-39

W 9/15: 6.4 Integration with Tables and Computer Algebra Systems: odd, 1-21

F 9/17: 6.5 Approximate Integration: odd, 1-15

M 9/20: 6.6 Improper Integrals: odd, 1,3,5-31

W 9/22: Review  

F 9/24: Exam I

M 9/27: 7.1 Areas between Curves: odd, 5-15

W 9/29: 7.2 Volumes: odd, 1-15

F 10/1: 7.2 Volumes: even, 2-14

M 10/4: 7.3 Volumes by Cylindrical Shells: odd, 1-25

W 10/6: 7.3 Volumes by Cylindrical Shells: even, 2-26

F 10/8: 7.4 Arc Length: odd, 1-17

M 10/11: 7.5 Applications to Physics and Engineering: odd, 1-11

W 10/13: 7.5 Applications to Physics and Engineering: odd, 13-15,27,29,35-41

F 10/15: 7.6 Differential Equations: odd, 1-31

M 10/18: Review

W 10/20: Exam II

F 10/22: 8.1 Sequences: odd, 1-17

M 10/25: 8.1 Sequences: odd, 19-39

W 10/27: 8.2 Series: odd, 1-17

F 10/29: 8.2 Series: odd, 19-31

M 11/1: 8.3 The Integral and Comparison Tests: odd, 1-25

W 11/3: 8.3 The Integral and Comparison Tests: even, 2-26

F 11/5: 8.4 Other Convergence Tests: odd, 1-17

M 11/8: 8.4 Other Convergence Tests: odd, 19-39

W 11/10: 8.5 Power series: odd, 1-17

F 11/12: 8.5 Power series: even, 2-18

M 11/15: 8.6 Representing Functions as Power Series: odd, 1-17,23-29

W 11/17: 8.7 Taylor and Maclaurin Series: odd, 1-35,43-49

F 11/19: 8.8 Applications of Taylor Polynomials: odd, 1-15

M 11//22: Review

W 11/24: Exam III

F 11/26: Thanksgiving Holiday

M 11/29: 9.1 Parametric Curves: odd, 1-17

W 12/1: 9.2 Calculus with Parametric Curves: odd, 1-15,37,39

F 12/3: 9.3 Polar Coordinates: odd, 1-11,13-19

M 12/6: 9.4  Areas and Lengths in Polar Coordinates: odd, 1-15,33,35

W 12/8: 9.5 Conic Sections in Polar Coordinates: odd, 1-15

F 12/10: Review


Final examination: Monday, December 13, 10:00 am-12:00 pm.



Change of Program and Add/Drop Deadline


September 16*

Credit/No Credit and Audit Grading Deadline


September 16*

Drop without Record of Enrollment Deadline


September 16*

Last Day to Drop from FT to PT Status with Refund


September 16*

Serious and Compelling Reason Required to Drop/Withdraw


September 17-November 18*


Spring 2010 Undergrad Graduation Application Deadline


September 20*


Student Census


September 27*

Last Day for Pro-rata Refund of Non-Resident Tuition and State University Fees


November 2

Veterans Day Holiday-Campus Closed


November 11

Spring 2010 Graduate Graduation Application Deadline


November 18*

Serious Accident/Illness Required to Drop/Withdraw


November 19-December 9*

Thanksgiving Holiday-

Campus Closed


November 25-27


Thanksgiving Holiday-

Campus Closed, Not a Holiday


November 26

Last Day of Scheduled Classes


December 10

Study Day


December 11

Final Examination


December 11-17

Grades Submission Begin


December 14

Evaluation Day


December 17

Final Grades Due


December 21, 3 p.m. *