MAT 193 Calculus II,  Section 03, CRN 43141, Fall 2004



Class meets MW 10:00-11:10 in SCC E149, F 10:00-12:00 in SCC K144.


Instructor:  Serban Raianu

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

e-mail address:; URL:;

Office hours: MW: 11:15-12:45, F: 12:00-1:00, or by appointment.


Course Description: MAT 193, Calculus II,  covers Chapters 7-9, 11, 12 from the textbook: Differentiation and integration of transcendental functions. Techniques and applications of integration. Polar coordinates. Infinite sequences and series, power series, Taylor series.


Text: James Stewart, Calculus, 5th edition, Brooks/Cole, 2003.


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

  • Compute the derivations of exponential and logarithmic functions, inverse trigonometric functions and hyperbolic functions, and execute logarithmic differential.
  • 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 70-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 70-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 three times, on the days of the three exams, 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 Friday, with the exception of the review and exam days, 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 the last 5 digits of 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 8/30:           7.1 Inverse Functions: (odd only) 3,7-21,25-29,35,39-43

W 9/1:             7.2 Exponential Functions and Their Derivatives: (odd only) 7-11,15,17,21-45,51,71-77,83

F 9/3:               7.3 Logarithmic Functions: (odd only, unless explicitly mentioned otherwise) 3-19,23-37,41-45,51-69,74

M 9/6:             Labor Day

W 9/8:             7.4 Derivatives of Logarithmic Functions: (odd) 3-35,39-49,51,65-77,85

F 9/10:             7.5 Inverse Trigonometric Functions: (odd) 1-9,23-33,59-69

M 9/13:           7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 1-31

W 9/15:           7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 33-65

F 9/17:             8.1 Integration by parts: (odd) 1-11,15-31

M 9/20:           8.2 Trigonometric Integrals: (odd) 1-45

W 9/22:           8.3 Trigonometric Substitution: (odd) 1-27

F 9/24:             8.4 Integration of Rational Functions by Partial Fractions: (odd) 5-41

M 9/27:           8.5 Strategy for Integration: (odd) 5-13,19,23,31,33,37,41

W 9/29:           8.5 Strategy for Integration: (odd) 43,47,51,63,71,73, and 8.8 Improper integrals: (odd) 1-7

F 10/1:             8.8 Improper Integrals: (odd) 9-37

M 10/4:           Review

W 10/6:           Exam I

F 10/8:             9.1 Arc Length: (odd) 7-11,17-19

M 10/11:         9.2 Area of a Surface of Revolution: (odd) 1-7

W 10/13:         9.2 Area of a surface of Revolution: (odd) 15-19 (for 17 & 19 just set up the integral)

F 10/15:           9.3 Applications to Physics and Engineering: 1,11,13,19,21,23,25,27,29

M 10/18:         9.4 Applications to Economics and Biology: 3,5,10,15

W 10/20:         9.5 Probability: 1,5,6,7,9

F 10/22:           11.1 Curves Defined by Parametric Equations: 1,3,4,5,7,9,11,13,19,21

M 10/25:         11.2 Calculus with Parametric Curves: 1,3,5,7,11,13,31,33,35

W 10/27:         11.2 Calculus with Parametric Curves: 37,39,41,45,57,59,61,65

F 10/29:           11.3 Polar Coordinates: (odd only) 1-45

M 11/1:           11.4 Areas and Lengths in Polar Coordinates: (odd) 1-41

W 11/3:           11.5 Conic Sections: (odd) 1-47

F 11/5:             11.6 Conic Sections in Polar Coordinates: (odd) 1-15

M 11/8:           Review

W 11/10:         Exam II

F 11/12:           12.1 Sequences: (odd) 3-37

M 11/15:         12.2 Series: (odd) 9-39

W 11/17:         12.3 The Integral Test and Estimates of Sums: (odd) 3-21

F 11/19:           12.4 The Comparison Tests: (odd) 3-31

M 11/22:         12.5 Alternating Series: (odd) 5-19

W 11/24:         12.6 Absolute Convergence and the Ratio and Root Test: (odd) 3-33

12.7 Strategy for Testing Series: (odd) 1-37

F 11/26:           Thanksgiving Holiday

M 11/29:         12.8 Power Series: (odd) 3-23

W 12/1:           12.9 Representations of Functions as Power Series: (odd) 3-19

F 12/3:             12.10 Taylor and Maclaurin Series: (odd) 3,5,9-15

M 12/6:           Review

W 12/8:           Exam III

F 12/10:           Review

Final examination: Wednesday, December 15, 10:00-12:00.