Math 266
Calculus with Analytic GeometrySpring 2010
Mc Gann
Text: Calculus, The Classic Edition, Swokowski
Room: Bung. #2
Days: Tuesdays and Thursdays
Time: 9:30 am to 12:00 noon
Attendance:
This is a difficult class. Attendance at every session is essential for success.
Homework:
Homework assignments will be given on a regular basis. You are responsible for completing these
assignments in a timely manner.
Grades:
Grades are based on Chapter tests, quizzes, and a final exam. There will be five exams, each worth 15%.
You may elect to drop or not take one exam (except the final). Quizzes 15% and the final exam is worth
25%.
Note: There will be no make up exams or quizzes.
Calculator:
A quality calculator is essential for this course. See me before you buy one.
Tutoring:
Free tutoring is available in the Math Center and in the Mathematics Lab.
Office hours:
My office hours are from 12:15 pm to 1:15 pm in the Math Center on Tuesdays and Thursdays or by
appointment. My phone number is 818.364.4901 and my e-mail is mcgannm@lamission.edu. My website
can be accessed at lamission.edu~mcgannm.
Student Learning Outcomes for Math 266
1)
2)
3)
4)
Use techniques of integration to evaluate various types of integrals.
Evaluate indeterminate form limits.
Determine convergence/divergence of sequences and series.
Graph and analyze equations in parametric equations and in polar coordinates.
Important Dates:
Feb. 12 to Feb. 15, President’s Day College closed
Note: Feb. 16 is not a school day
Spring break – March 29 to April 5, 2010
Cesar Chavez Holiday – March 31, 2010, College closed
Last day to drop with a “w” – May 7, 2010
Classes end – May 29, 2010
Memorial Day – May 21, 2010, College closed
Final Exam – Tuesday June 1, 2010, 10 am to 12 noon
The following is a tentative schedule and may be adjusted as needed.
Topics to be Covered
Sections from Text
Inverse Trigonometric and Hyperbolic
Functions:
Dates Taught
Chapter 8
Sections 8.1, 8.2, 8.3, 8.4
Feb. 9, 11, 16, 18
Inverse trig. Functions; derivatives and integrals;
hyperbolic functions, inverse hyperbolic
functions
Quiz #1 Chapter 8
Analytic Geometry:
Chapter 12
Feb. 23, 25,
Parabolas; ellipses; hyperbolas;
Sections 12.1, 12.2, 12.3, 12.4
March 2
Test #1 Chs. 8 and 12
Techniques of Integration:
Integration by parts; trigonometric integrals;
trigonometric substitutions; integrals of rational
functions; Integrals with quadratic expressions;
table of integrals
Chapter 9
Sections 9.1, 9.2, 9.3, 9.4, 9.5,
9.6 and 9.7
Test #2 Chapter 9
March 4, 9, 11,
Chapter 10
Sections 10.1, 10.2, 10.3, and
10.4
March 23, 25,
16, 18
Indeterminate Form and Improper Integrals:
Forms 0/0 and /; other indeterminate forms;
integrals with infinite limits of integration;
integrals with discontinuous integrands.
Spring Break
March 29 – April 5
Indeterminate Form and Improper Integrals:
Forms 0/0 and /; other indeterminate forms;
integrals with infinite limits of integration;
integrals with discontinuous integrands.
Chapter 10 Continued
Test #3 Chapter 10
Infinite Series:
Chapter 11
Sequences; Convergent and divergent series;
positive term series; the ratio and roots test;
alternating series and absolute convergence;
power series; Maclaurin and Taylor series;
binomial series
Sections 11.1, 11.2, 11.3,
11.4, 11.5, 11.6, 11.7, 11.8,
11.9 and 11.10
Plane Curves and Polar Coordinates:
Plane curves, tangents and arc length; polar
coordinates; polar equations of a conic
April 6, 8, 13
April 15, 20, 22
27, 29
Test #4 Chapter 12
Chapter 13
Sections 13.1, 13.2, 13.3,
13.4, 13.5
Test #5 Chapter 13
May 4, 6, 11, 13, 18
Review for Final
May 20, 24, 27
Final Exam
June 1
Math 266
Spring 2010
Mc Gann
Homework Assignments:
Chapter 8:
Section 8.1
Section 8.2
Section 8.3
Section 8.4
P 432
P 438
P 446
P 451
1 – 18 odd, 19, 23, 24, 25, 27, 33, 34, 37
1 – 44 odd, 47, 48, 49
1 – 42 odd, 43, 44, 45, (67, 68), 46
1 – 26 odd, 27, 29, 30, 33, 34, 39
Chapter 12:
Section 12.1
Section 12.2
Section 12.3
Test #1
Page 611
Page 621
Page 632
1 – 22 odd, 23, 24, 25, 26, 27
1 – 24 odd, 25, 33, 34, 35, 36
1 – 27 odd, 30, 33, 34, 35, 36, 38
Chapter 9
Section 9.1
Section 9.2
Section 9.3
Section 9.4
Section 9.5
Section 9.6
Section 9.7
Test #2
Page 462
Page 467
Page 472
Page 478
Page 481
Page 485
Page 488
1 – 38 odd, 39, 40, 41, 45, 46, 47
1 – 30 odd, 31, 32, 33, 34
1 – 22 odd, 23, 24, 25, 26
1 – 32 odd, 37, 38, 39
1 – 18 odd, 19, 20
1 – 26 odd
1 – 30 odd
Chapter 10
Section 10.1
Section 10.2
Section 10.3
Section 10.4
Test #3
Page 498
Page 503
Page 508
Page 515
1 – 52 odd, 53, 54, 55, 56
1 – 42 odd, 43, 44, 45, 46
1 – 24 odd, 25 – 28, 29 – 32, 33, 34, 35
1 – 30 odd, 31 – 34, 35, 36, 37 – 49
Page 531
Page 541
Page 552
Page 557
Page 565
Page 572
Page 579
Page 589
Page 595
Page 598
1 – 42 odd, 45, 46, 47, 48
1 – 20 odd, 21, 22, 25 – 32,33 – 48 odd,
1 – 46 odd
1 – 40 odd
1 – 32 odd, 33, 35, 39, 41
1 – 30 odd, 31 – 36
1 – 10 odd, 15 – 26 odd, 27, 29, 31
1 – 42 odd
1 – 30 odd
1 – 20 odd
Page 648
Page 657
Page 667
Page 673
Page 679
1 – 24 odd, 25, 26, 27, 28
1 – 18 odd, 19, 20, 21 – 26, 29 – 38 odd
1 – 60 odd
1 – 32 odd
1 – 32 odd, 33, 34, 35, 36
Chapter 11
Section 11.1.
Section 11.2
Section 11.3
Section 11.4
Section 11.5
Section 11.6
Section 11.7
Section 11.8
Section 11.9
Section 11.10
Test #4
Chapter 13
Section 13.1
Section 13.2
Section 13.3
Section 13.4
Section 13.5
Test #5