MAT 193 Calculus II,  Section 01, CRN 25527, Spring 2008


Class meets MW 10:00 am - 11:20 am, SBS A210, F 9:50 am - 11:20 am, WH C155.


Instructor:  Serban Raianu

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

e-mail address:; URL:;

Office hours: Monday: 11:30-1:30, Wednesday: 1:15-2:15, Friday: 11:30-2:30, 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 collected every Monday (Wednesday if Monday is a holiday) for the sections covered in the previous week, and each homework assignment is worth 5 points. No late homework will be accepted. Failure to submit four homework assignments without evidence of external independent causes may lead to a grade of  F in the class. The average of all homework scores is denoted by H.

5 to 10 minutes quizzes will be given in principle every Monday (Wednesday if Monday is a holiday), 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: 60‑69;   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 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.


Students with Disabilities: Students who need special consideration because of any sort of disability are urged to see me as soon as possible.


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.



Tentative schedule and homework assignments

M 1/28: 6.1 Integration by Parts: odd, 1-27

W 1/30: 6.1 Integration by Parts: even, 2-28

F 2/1: 6.2 Trigonometric Integrals and Substitutions: odd, 1-33

M 2/4: 6.2 Trigonometric Integrals and Substitutions: odd, 37-61

W 2/6: 6.3 Partial Fractions: odd, 1-17

F 2/8: 6.3 Partial Fractions: odd, 19-39

M 2/11: 6.4 Integration with Tables and Computer Algebra Systems: odd, 1-21

W 2/13: 6.5 Approximate Integration: odd, 1-15

F 2/15: 6.6 Improper Integrals: odd, 1,3,5-31

M 2/18: Presidents’ Day   

W 2/20: Review

F 2/22: Exam I

M 2/25: 7.1 Areas between Curves: odd, 5-15

W 2/27: 7.2 Volumes: odd, 1-15

F 2/29: 7.2 Volumes: even, 2-14

M 3/3: 7.3 Volumes by Cylindrical Shells: odd, 1-25

W 3/5: 7.3 Volumes by Cylindrical Shells: even, 2-26

F 3/7: 7.4 Arc Length: odd, 1-17

M 3/10: 7.5 Applications to Physics and Engineering: odd, 1-11

W 3/12: 7.5 Applications to Physics and Engineering: odd, 13-15,27,29,35-41

F 3/14: 7.6 Differential Equations: odd, 1-31

M 3/17: Review

W 3/19: Exam II

F 3/21: 8.1 Sequences: odd, 1-17

M 3/24: 8.1 Sequences: odd, 19-39

W 3/26: 8.2 Series: odd, 1-17

F 3/28: 8.2 Series: odd, 19-31

M 3/31: Spring Recess

W 4/2: Spring Recess

F 4/4: Spring Recess

M 4/7: 8.3 The Integral and Comparison Tests: odd, 1-25

W 4/9: 8.3 The Integral and Comparison Tests: even, 2-26

F 4/11: 8.4 Other Convergence Tests: odd, 1-17

M 4/14: 8.4 Other Convergence Tests: odd, 19-39

W 4/16: 8.5 Power series: odd, 1-17

F 4/18: 8.5 Power series: even, 2-18

M 4/21: 8.6 Representing Functions as Power Series: odd, 1-17,23-29

W 4/23: 8.7 Taylor and Maclaurin Series: odd, 1-15

F 4/25: 8.7 Taylor and Maclaurin Series: odd, 17-35,43-49

M 4/28: 8.8 Applications of Taylor Polynomials: odd, 1-15

W 4/30: Review

F 5/2: Exam III

M 5/5: 9.1 Parametric Curves: odd, 1-17

W 5/7: 9.2 Calculus with Parametric Curves: odd, 1-15,37,39

F 5/9: 9.3 Polar Coordinates: odd, 1-11,13-19

M 5/12: 9.4  Areas and Lengths in Polar Coordinates: odd, 1-15,33,35

W 5/14: 9.5 Conic Sections in Polar Coordinates: odd, 1-15

F 5/16: Review


Final examination: Monday, May 19, 10:00 am-12:00 pm.




Change of Program and Add/Drop Deadline


January 26-February 14

Instructor Drop Deadline


February 8, 12 p.m.

Credit/No Credit and Audit Grading Deadline


February 14

Drop without Record of Enrollment Deadline


February 14

Last Day to Drop from FT to PT Status with Refund


February 14

Student Census


February 15

Serious and Compelling Reason Required to Drop/Withdraw


February 15-April 24

Presidents’ Day Holiday – No Classes; Campus Open


February 18

Spring Recess (includes Cesar Chavez Holiday)


March 31-April 5

Last Day for Pro-rata Refund of Non-Resident Tuition



   and State University Fees


March 28

Honors Convocation


April 18

Serious Accident/Illness Required to Drop/Withdraw


April 25-May 15

Last day of Scheduled Classes


May 16

Study Day


May 17

Final Examinations


May 17-23

Grades Submission Begins


May 20

Graduate Commencement


May 22

Undergraduate Commencement


May 23

Evaluation Day


May 23

Memorial Day Holiday – Campus Closed


May 26

Final Grades Due


May 28, 3 p.m.