Engineering Mathematics - Spring 2001

Lecturer:

Professor R. Connelly
Office: 433 Malott Hall
Phone: 255-4301
e-mail: connelly@math.cornell.edu
Office hours: Monday, Wednesday , Friday 11:00 to 12:00

Lecture (Connelly): MWF Upson 207 from 12:20 to 1:10 PM.

Teaching Assistant:

Melanie Pivarski
Office: 218Malott Hall
Phone: 255-7548
e-mail: pivarski@math.cornell.edu
Office hours: Tuesday 9:30-10:00 (AM) 3:00-4:00,Wednesday 4:30-5:20, Also by appointment

Section (Pivarski): Friday in Upson 215 from 2:30 to 3:20 PM.

Text: Thomas' Calculus by Finney, Weir, and Giordano, tenth edition.

Grading: There will be three prelims, each worth 100 points, and a final worth 200 points. Homework and quizzes will also count for 100 points.

Academic Excellence Workshops: There is a COLLAB Workshop on Thursdays, 2:30 to 4:25 in Hollister 206. These could be a good place to spend time to help others and yourself understand and appreciate the virtues of calculus.

Extra Help: There are at least two resources that you can use for tutoring or extra help.

• The Math Support Center, 256 Malott Hall, Phone: 255-4658, Open Monday -Friday 10 to 5, Sunday 1:30 -5:30.
• Tau Beta Pi: (click on the section for tutoring) Tutoring sessions for courses with large numbers of engineering students.

Warning: There are mistakes in the text on page 481, Table 6.1. The square roots in the derivatives of the inverse tangent and inverse cotangent functions should NOT be there.

Results from Prelim I: The grades for the first prelim are 89 and above is an A; 75 to 88 is a B, 60 to 74 is a C, and 50 to 59 is a D. The median grade was 78. There were 8 A's, 3 B's , 6 C's and 2 D's.

Results from Prelim II: The grades for Prelim II are 89 and above is an A; 75 to 88 is a B, 65 to 74 is a C, and 50 to 64 is a D. The median grade was 91. There were 12 A's, 3 B's, 3 C's and 2 D's.

Results from Prelim III: The grades for Prelim III are 89 and above is an A; 75 to 88 is a B, 60 to 74 is a C, and 50 to 59 is a D. The median grade was 82. There were 5 A's, 8 B's, 5 C's and 2 D's and one F.

Results from the Final: The grades for the Final are 160 and above is an A, 120 to 159 is a B, 100 to 119 is a C, below 100 is a D. The median grade was 136. There were 6 A's, 10 B's, 3 C's and one D. (NEW)

Results for the final grades: There were 8 A's, 7 B's, 3 C's, and one D. This was an average taking into account the homework scores, the three prelims and the final. There were adjustments made for people that came into the course late, or who were sick. (NEW)

Results for homework up to May 4: The points mentioned here are all the points for homework. The highest score is 456, and roughly 370 and higher is an A, 300 to 369 a B, 250 to 299 a C. For those of you that arrived late and did not hand in homework for the first few classes, we will find a way of factoring that into the grade assignment. Now there are 11 A's, 4 B's, 3 C's and the rest are in special circumstances and will be considered separately.

For Prelim I on Tuesday, February 20, here is a practice prelim. If you just want to look at the problems as a jpg look here and here.

For Prelim II on Tuesday, March 27, here is a practice prelim. If you just want to look at the problems as a jpg look here and here and here. Here are the solutions to the Practice Prelim II. Problem 1, 2, 3, 4, 5, 6.

For Prelim III on Thursday, April 26. The jpg documents for the practice prelim are here and here and here and here. Here, here, here and here are the solutions to Practice Prelim III.

For the final exam on Monday, May 14. The jpg documents for the practice final are page 1, and page 2, and page 3 , and page 4, and page 5, and page 6, and page 7, and page 8, and page 9, and page 10. The solutions are on page 1, and page 2, and page 3 , and page 4, and page 5, and page 6, and page 7, and page 8, and page 9, and page 10.

Homework: The following are the reading and homework assignments. The date below is when the section is covered in lecture. Homework assignments for a given subject are due the following lecture class period. It will be returned to you in lecture on the next period after you hand it in. For example, the exercises on sections 1.5 and 2.1 are due on 1/26 and will be returned to you on 1/29. Points will be subtracted for late assignments. Problems in paranthesis '()' are not to be handed in, but be prepared to discuss them in class.

 Date Sections Covered Homework Assignments 1/22 1.4: Continuity 6, 10, 16, 36 1/24 1.5: Tangents 2.1: Derivatives 6, 22, 28 16, 28, 34 1/26 2.3: Differentiation rules QUIZ 5, 20, 23 (30) 1/29 2.4: Derivatives of trig functions 8, 23, 41 (47) 1/31 2.2: Rate of change 2.5: Chain rule 25 (27) 10, 39, 41 (57b) 2/2 2.6: Implicit differentiation 20, 46, 50 (54) 2/5 2.7: Related rates 4, 17, 37, 10 2/7 3.1: Extreme values 12, 14, 19, 34 (44) 2/9 3.3: Graphs 5, 14, 24 (34, 47) 2/12 1.3: Limits at infinity & asymptotes 22, 27, 37 (5, 10, 18) 2/14 3.5 Optimization 7, 13, 26a (2, 33) 2/16 3.6: Linearization 3.7: Newton's methods 6, 13, 33 (50) 2 (9) 2/19 Review for Prelim I 2/20 Tuesday PRELIM I in PHILIPS 213 Covers up to and including Section 3.5 2/21 3.2: Mean value theorem 4.1: Indefinite integrals 6 (35) 16, 32, 36 (60) 2/23 4.2: Integral rules 12, 22 ,29 (32) 2/26 4.3: Estimating areas 4.4: Riemann sums and definite integrals 1 (23) 1, 9 2/28 4.4: Definite integrals 19, 31, 39 3/2 4.5: Fundamental theorem 18, 21, 37 (51) 3/5 4.6: Substitution 4, 8, 21, 31 (2) 3/7 4.7: Numerical integration 6a, 6b, 23a, 23b (16) 3/9 5.1: Volumes I 20, 32, 49 (39, 60) 3/12 5.2: Volumes II 4, 10, 30 (18, 35) 3/14 5.3: Lengths of curves 3, 11, 10 3/16 6.1: Logarithms 8, 18, 15 (49, 63) 3/19 to 3/23 SPRING BREAK 3/26 Review for Prelim II 3/27 Tuesday PRELIM II in PHILIPS 213 Covers from Section 3.6 up to and including Section 5.3 3/28 6.1: Logarithms and inverses 53, 69, 75 3/30 6.2: Exponential functions 10, 13, 16, 31 (50. 65) 4/2 6.4: Seperable differential equations 6, 12, 21 (4, 34) 4/4 0.5: Inverse trig functions 6.3: Inverse trig functions Evaluate the sine of 666 degrees as a rational of square roots of integers. 7, 23, 46 (51) 4/6 6.3: Inverse trig functions 37, 44, 48 (54) 4/9 7.1: Integration formulas 8, 43, 63 (83) 4/11 7.2: Integration by parts 6, 29, 38 (35) 4/13 7.2: Integration by parts (cont.) 41, 45 4/16 7.6: L'Hopital's rule 1, 15, 20 (45) 4/18 7.6: L'Hopital's rule (cont.) 35, 38 47 (52b) 4/20 7.3: Partial fractions 6, 12, 19 (49) 4/23 7.3: Partial fractions (cont.) 21, 30 4/25 Review for Prelim III 4/26 Thursday PRELIM III in PHILIPS 213 Covers from Section 6.1 up to and including Section 7.3 4/27 7.4: Trig substitutions 12, 24, 29 4/30 7.4: Trig substitutions (cont.) 33, 34 5/2 6.7: Hyperbolic functions 11, 18, 37, 85 (86) 5/4 Review for Final Exam 5/14 Monday FINAL EXAM 9:00 - 11:30 AM in Rockefeller 110 Covers the whole course with some emphasis on Sections 7.4 and 6.7

Last updated: May 14, 2001