### Math 1270 Accelerated Engineering Calculus I

#### Fall Semester 2011

Instructor: David C. Dobson
Office:
LCB 210
Office hours:
MTWF 1:30-2:30 or by appointment (5-7660 or by email).

Prerequisites: AP Calculus AB score of 4, or AP Calculus BC score of 3.

Text: Calculus, Second Edition, by Gilbert Strang, ISBN 978-0-9802327-4-5
Although we will be using the second edition, note that the first edition is available electronically, for free:
http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/

Course description: 4 credits.  Math 1270 and 1280 together are equivalent to the three semester sequence Math 1210, Math 1220, and Math 2210. This sequence is intended for engineering majors. Review of introductory calculus, applications of differential and integral calculus, introduction to differential equations, conic sections and polar coordinates, numerical approximation, sequences and series, power series.

Homework: Problems will be assigned weekly. A random subset of problems from each assignment will be graded. Late homework cannot be accepted.  Students may consult one another and discuss homework problems, however the assignments you turn in must represent your own work.  Time and effort spent on homework is invariably reflected in exam scores.

 Number Due date Homework assignment 1 09/02/2011 Section 1.1:  2, 3, 7, 9, 14, 15, 21, 24, 32.  Section 1.2:  1, 4, 5, 6, 11.  Section 1.3:  1, 2, 3, 5, 7, 9.  Section 1.5:  7, 8, 11, 15, 23, 25.  Section 2.1:  1, 2, 4, 6, 12, 17.  Section 2.2:  3, 4, 6, 10, 12, 25, 26. 2 09/09/2011 Section 2.3:  2, 3, 10, 12, 15, 25 (Snell's law), 28.  Section 2.4:  1, 3, 15, 16, 18, 26.  Section 2.5:  2, 5, 8, 12, 20, 30, 33, 39.  Section 2.6:  1(a)(b)(c), 2, 8, 18, 25, 31. 3 09/16/2011 Section 2.7:  2, 5, 10, 16, 21, 22, 28.  Section 3.1:  1, 4, 5, 9, 12, 19, 20.  Section 3.2:  2, 4, 10, 15, 23, 28, 35.  Section 3.3:  1, 11, 14, 16, 17, 20, 24, 26. 4 09/23/2011 Section 3.8:  2, 4, 7, 10, 14, 16, 18, 23, 27.  Section 4.1:  3, 5, 8, 11, 14, 16, 17, 18, 22, 25, 32, 50.  Section 4.2:  1, 4, 7, 13, 19, 20, 21, 23, 28.  Remember Exam I, Friday September 23.  A sample exam can be found here (yours will be shorter). 5 09/30/2011 Section 4.3:  1, 4, 6, 12, 13, 15, 23, 24, 32, 39, 48.  Section 4.4:  2, 5, 6, 8, 11(note the typo: 1/(1-y^2)^(1/2)), 18, 21, 22. 6 10/07/2011 Section 5.1:  9, 10.  Section 5.2:  1, 3, 7, 17, 21, 26, 31, 33.  Section 5.3:  1, 3, 6, 7, 11, 14, 16.  Section 5.4:  2, 5, 7, 11, 12, 14, 16, 33, 36.  Section 5.5:  11, 12, 15, 19, 20, 23, 27 (on [0,1]).  Section 5.6:  2, 3, 6, 9, 10, 15, 17, 33. 7 10/21/2011 Section 5.7:  1, 4, 5, 7, 8, 16, 18, 21, 33.  Section 5.8:  2, 3, 13, 22 (with T_n), 24.  Section 6.1:  1, 2, 5, 6, 10, 21, 23, 27.  Remember Exam II, Friday October 21, covering 3.4--5.6. 8 10/28/2011 Section 6.2:  2, 6, 11, 12, 16, 27, 28, 30, 33, 46, 47, 50.  Section 6.3:  2, 3, 5, 8, 11, 16, 21, 24, 32, 63. 9 11/04/2011 Section 6.4:  5, 8, 11, 14, 15, 17, 29, 30, 33, 39.  Section 6.5:  1, 2, 3, 8, 9, 11, 13, 20, 27.  Section 6.6:  4, 5, 13, 15, 18, 24, 36, 41.  Section 6.7:  2, 3, 8, 9, 12, 14, 17, 25, 26, 54(a). 10 11/11/2011 Section 7.1:  3, 5, 6, 10, 16, 20, 26, 29, 31, 44, 46, 48.  Section 7.2:  4, 17, 21, 22, 23, 27.  Section 7.3:  2, 4, 5, 21, 23.  Section 7.4:  4, 5, 6, 9, 20. 11 11/18/2011 Section 7.5:  1, 4, 7, 8, 13, 15, 17, 19, 20, 23.  Section 8.1:  2, 5, 12, 14, 18, 21, 22, 23, 29, 38, 39, 43, 44, 47, 55, 56.  Remember Exam III, Friday November 18, covering 5.7--7.4. 12 12/02/2011 Section 8.2:  1, 3, 11, 21, 23, 29, 33.  Section 8.3:  1, 3, 7, 16, 19.  Section 8.4:  1, 2, 5, 8, 10, 12, 17, 28.  Section 8.5:  3, 4, 5, 9, 10, 12, 13, 14, 17.  Section 8.6:  1, 4, 6, 7, 8, 9, 15. 13 12/09/2011 Section 9.1:  3, 4, 7, 10, 14, 16, 18, 21.  Section 9.2:  1, 3, 4, 5, 9, 11, 18, 21.  Section 9.3:  3, 5, 7, 14, 16, 25.  Section 9.4:  1, 4, 9, 11, 19, 23.  Section 10.1:  2, 4, 5, 15, 16, 18, 21.  Last homework  Remember Final Exam, Friday December 16, 8:00-10:00 am.  Final is comprehensive, emphasizing material covered since Exam III.

Reading and lectures:  Prior to class meetings, students are expected to read, and to be prepared to discuss, course material in the text.

Exams: Dates are fixed.  Plan your life around these dates now.

Exam I:          September 23,   (in class)
Exam II:         October  21,       (in class)
Exam III:        November 18,    (in class)
Final Exam:   December 16,    8:00am - 10:00am