MAT 193 Calculus II, # 41021, Fall 2002

Class meets MWF 10:00-11:10 in EAC 500.

Instructor: Prof. Serban Raianu, office: NSM A-135, office phone number: (310) 243-3139,

e-mail address:, office hours: Tuesday 18:00-19:00 in the Math Lab SAC 1115; in my office: MWF: 12:30-13:30,  or by appointment.

Course Description: MAT 193, Calculus II,  covers Chapters 6-12 from the textbook: differentiation and integration of transcendental functions. Further techniques and applications of integration, infinite sequences and series, power series, Taylor and Maclaurin series.

Text: James Stewart, Calculus, 4th edition, Brooks/Cole, 1999.

Objectives: After completing MAT 193 the student should be able to: Compute the derivatives of exponential and logarithmic functions, inverse trigonometric functions;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;Test for convergence or divergence of sequence and series, find interval of convergence for power series and represent functions as Taylor and Maclaurin Series.

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

Grades: Grades will be based on three in‑class full‑period examinations (60% total), a comprehensive final examination (25%), and quizzes, homework, and other assignments (15%) for the remainder. The exact grading system for your section is the following: each of the three full-period 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 class meeting, 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 class meeting, 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.

Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with your instructor, who 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 their instructor 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: 

M 8/26: 6.2 Volumes: 4-11,13,19,25,28,31,33,61

W 8/28: 6.3 Volumes by Cylindrical Shells: (odd numbers only) 3-5,9-13,15-19,21-25,35-39

F 8/30: 6.4 Work: 5,7,9,11,13,15,16,17

M 9/2: Labor Day

W 9/4: 6.5 Average Value of a Function: (odd only) 1-7,15

F 9/6: 7.1 Inverse Functions: (odd only) 3,7-21,25-29,35,39-43

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

W 9/11: 7.3 Logarithmic Functions: (odd only, unless explicitly mentioned otherwise) 3-19,23-37,41-45,51-69,74

F 9/13: 7.4 Derivatives of Logarithmic Functions: (odd) 3-35,39-49,51,65-77,85

M 9/16 : 7.5 Inverse Trigonometric Functions: (odd) 1-9,23-33,59-69

W 9/18: 7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 1-31

F 9/20: 7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 33-65

M 9/23: Review

W 9/25: Exam I

F 9/27: analyzing exam I.

M 9/30: 8.1 Integration by parts: (odd) 1-11,15-31

W 10/2: 8.2 Trigonometric Integrals: (odd) 1-45

F 10/4: 8.3 Trigonometric Substitution: (odd) 1-27

M 10/7: 8.4 Integration of Rational Functions by Partial Fractions: (odd) 5-41

W 10/9: 8.5 Strategy for Integration: (odd) 5-13,19,23,31,33,37,41

F 10/11: 8.5 Strategy for Integration: (odd) 43,47,51,63,71,73, and 8.8 Improper integrals: (odd) 1-7

M 10/14: 8.8 Improper Integrals: (odd) 9-37

W 10/16: 9.1 Arc Length: (odd) 7-13,17-21

F 10/18: 9.2 Area of a Surface of Revolution: (odd) 1-9

M 10/21: 9.2 Area of a surface of Revolution: (odd) 15-19

W 10/23: Review

F 10/25: Exam II

M 10/28: analyzing exam II.

W 10/30: 12.1 Sequences: (odd) 3-37

F 11/1: 12.2 Series: (odd) 9-39

M 11/4: 12.3 The Integral Test and Estimates of Sums: (odd) 3-21

W 11/6: 12.4 The Comparison Tests: (odd) 3-31

F 11/8: 12.5 Alternating Series: (odd) 5-19

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

W 11/13: 12.7 Strategy for Testing Series: (odd) 1-37

F 11/15: 12.8 Power Series: (odd) 3-23

M 11/18: 12.9 Representations of Functions as Power Series: (odd) 3-19

W 11/20: 12.10 Taylor and Maclaurin Series: (odd) 3,5,9-15

F 11/22: 12.11 The binomial Series: (odd) 1-7,11

M 11/25: Review

W 11/27: Review

F 11/29: Thanksgiving break.

M 12/2: Exam III

W 12/4: analyzing exam III

F 12/6: Review

Final exam: Monday, December 9, 10:00-12:00.