**Math 191 Home Page**

**Engineering Mathematics - Spring 2001**

**Lecturer**:

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

**Teaching Assistant:**

**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*