# Math 1300A (S1) Course Information

Announcements:

• (June 8) Here is an indication of what to expect on the final examination, based on a current draft version .

There are 12 questions on 12 pages. Here are the topics covered.

• limit calculation
• definition of a function so as to make it continuous
• application of the Intermediate Value Theorem
• calculation of derivatives using the basic definition as a limit
• derivative calculation using differentiation formulas
• implicit differentiation
• application of the Mean Value Theorem
• curve sketching
• applied max - min
• linear motion (i.e., motion along the x-axis)
• upper and lower sums
• Fundamental Theorem of Calculus
• derivatives of inverse functions
• definite integral calculation using antiderivatives
• area between two curves
• (June 8) The second class test will be returned in class tonight. Here is some statistical information about performance.
```
Here are the grades in ascending order. Grades are from 40.

0.0    2.0    4.0    5.5   11.0   13.0   16.5   17.0   17.5   19.0   19.5
20.0   20.0   21.5   21.5   22.0   22.0   22.5   22.5   23.0   24.5   24.5
25.5   25.5   25.5   26.0   26.0   27.0   27.5   28.0   28.0   28.0   28.5
29.5   30.0   30.0   30.0   31.0   32.0   33.5   33.5   35.5   35.5   35.5
36.0   37.0

Here is a statistical summary.

N     MEAN   MEDIAN   TRMEAN    STDEV   SEMEAN
46    23.77    25.50    24.25     8.93     1.32

MIN      MAX       Q1       Q3
0.00    37.00    19.87    30.00

Here is a dotplot of the grades.
:    .   .  .       :
.  .  . .       .  .    :. ..: ::. ::: ::..:. . :  : .
+---------+---------+---------+---------+---------+-------C1
0.0       7.0      14.0      21.0      28.0      35.0

```
• (May 27) I have prepared a draft version of the class test for Wednesday. Here is a summary.
1. Tangents to curves (implicit differentiation)
2. Chain rule for differentiation, derivative of inverse function
3. Exercise on increasing/decreasing functions (sign of derivatives)
4. Determination of asymptotes (appropriate limit values required)
5. Standard curve sketching problem
6. L'Hôpital's rule
• (May 26) The exam schedule has been posted. The 1300 exam is scheduled for Friday, June 17, from 7:00 to 10:00 p.m. in SLH F.
• (May 25) The coverage for the class test on June 1 will be 2.4, 2.5, 2.6, 2,7, 2.8. Professor Salisbury's test from Winter 2010 has approximately the same coverage.
• (May 25) Tests will be returned in class tonight. Here is some statistical information about class performance.
```Here are the grades in ascending order. Grades are from 40.

4     6     6    13    13    13    13    15    15    16    16    17    18
18    18    19    19    19    20    21    22    22    22    22    23    23
23    24    25    25    25    25    27    28    28    28    28    29    30
31    31    32    32    32    32    34    35    36    37    38    38    39
39    39

Here is a statistical summary.

N     MEAN   MEDIAN   TRMEAN    STDEV   SEMEAN
54    24.13    23.50    24.37     8.89     1.21

MIN      MAX       Q1       Q3
4.00    39.00    18.00    31.25

Here is the same information with the grades converted to percentages.

10.0   15.0   15.0   32.5   32.5   32.5   32.5   37.5   37.5   40.0   40.0
42.5   45.0   45.0   45.0   47.5   47.5   47.5   50.0   52.5   55.0   55.0
55.0   55.0   57.5   57.5   57.5   60.0   62.5   62.5   62.5   62.5   67.5
70.0   70.0   70.0   70.0   72.5   75.0   77.5   77.5   80.0   80.0   80.0
80.0   85.0   87.5   90.0   92.5   95.0   95.0   97.5   97.5   97.5

N     MEAN   MEDIAN   TRMEAN    STDEV   SEMEAN
54    60.32    58.75    60.94    22.23     3.02

MIN      MAX       Q1       Q3
10.00    97.50    45.00    78.12

```
• (May 19) Course evaluations will be available on-line from tomorrow, May 20, until June 10. You are strongly encouraged to complete them. Click here to access the York Course Evaluations website.
• (Apr 27) Homework, beginning with problems from Section 1.2 is posted below. Tutorial times are now available below as well.

Lecturer: Eli Brettler
Office: South 508 Ross
Telephone: 736-2100 Extension 66321
E-mail: brettler@mathstat.yorku.ca
WWW: http://www.math.yorku.ca/Who/Faculty/Brettler/

Normal Office hours: By appointment. I will normally be available between 2 and 4 p.m., Mondays and Wednesdays.

Lectures: MW 6:00 - 9:00 in Curtis H.
There is no lecture or tutorial on Monday, May 23 (Victoria Day).
The first class meeting is on May 2. The last class meeting is on June 8. As there are only eleven class meetings scheduled, I need to use all the time available. Please plan accordingly.
The Final Examination for the course will be scheduled by the University on one of June 15, 16, 17.

Tutorials: Tutorial assistance will be available in the MathStat Lab, South 525 Ross. Times are

Text: CALCULUS, Concepts, Applications and Theory, Third Edition, by Stanley O. Kochman.
The text is sold bundled with a Student Manual which includes a CD to help you work through some important examples.
A Solutions Manual for Math 1300, Second Edition by V. Mishkin is also available for purchase.

Textbook coverage:

• Chapter 1: 1.2 - 1.7
• Chapter 2: 2.2 - 2.10, 2.12
• Chapter 3: 3.2 - 3.4
Detailed Plan:
• May 2: 1.2, 1.3, 1.4
• May 4: 1.5, 1.6 (Quiz, 6:00 - 6:20)
• May 9: 1.6, 1.7
• May 11: 2.2, 2.3 (Quiz, 6:00 - 6:20)
• May 16: 2.4 (Class Test, 6:00 - 7:00)
• May 18: 2.5, 2.6
• May 25: 2.7, 2.8 (Quiz, 6:00 - 6:20)
• May 30: 2.9, 2.10
• June 1: 2.12 (Class Test, 6:00 - 7:00)
• June 6: 3.2, 3.3
• June 8: 3.4 (Quiz, 6:00 - 6:20)

### Homework:

These are the homework problems for course. Homework will not be collected for grading. Your job is to carefully do these problems. Part of doing them is understanding why your answers are correct. Mulling over what you have done is an essential part of the learning process. If you only rely on the answers at the back of the text, you will miss out on this opportunity. The knowledge and skills required to do these problems will be the knowledge and skills required for success on the quizzes, tests and the exam.
• Section 1.2: 6 bdeg, 7, 8 bd, 9 abe, 10, 16, 20 cde, 23 bcfh, 25, 26, 28.
• Section 1.3: 7 a, 8 ac, 14 cd, 15 be, 17 ab, 21 bcdf, 25 ae, 26, 30 ac.
• Section 1.4: 2, 3, 4 ac, 6 adef, 7 c, 13 ab, 21 f, 23 af, 25 abc, 26 ac, 27 d, 28 acdh, 29 ae.
• Section 1.5: 2, 4acdf, 5 a, 9abdf, 10ac, 13b.
• Section 1.6: 1ad, 2 af, 3 ah, 4 af, 8, 10, 14, 17, 19, 25, 30, 36, 45, 48, 50, 52, 53, 63, 70.
• Section 1.7: 1, 4, 8, 16, 21c, 24, 29, 37 abc, 39 ab, 40 c, 41 a, 47 abcf.
• Section 2.2: 3 a, 4 a, 5 a, 8 bd, 9c, 10 bd, 12, 19 acehi, 21.
• Section 2.3: 1 e, 2 bd, 3 f, 4 d, 5 a, 10 b, 13 ae, 14 ade.
• Section 2.4: 3 adho, 4 b, 5 a, 6 abe, 7 abh, 9 ab, 10 ab, 11 adf, 12 b, 14 ad.
• Section 2.5: 1 aceij, 2 b, 3 ac, 6 ad, 7 ab, 8 a, 10 abc, 11d.
• Section 2.6: 4 ac, 5 ac, 6 cd, 7 ab, 9 ac, 10, 11 ae, 15 acfj, 16 ade, 17 abehik.
• Section 2.7: 1ad, 4, 6af, 7e, 9, 11 afi, 16, 22, 23, 26, 37, 40, 42.
• Section 2.8: 1, 5, 6, 8, 9, 11, 12, 18, 21, 29, 30.
• Section 2.9; 1, 5, 9, 10, 15, 21, 27, 29.
• Section 2.10: 1 a, 4, 12, 15, 16, 17, 20.
• Section 2.12: 1, 6, 7 cd, 8 - 19, 20, 24, 27, 31 a, 33, 34, 39.
• Section 3.2: 1 ac, 2 ae, 3 a, 4 ad, 5 ae, 7, 11 ab, 12 ab, 13 c, 15 ag, 16 ab, 17 a, 18 a, 21 a, 22 a.
• Section 3.3: 1 abgkqr, 3 ac, 5 ad, 6 d, 7 ab.
• Section 3.4: 1 a, 2 ac, 3 aei, 4 bgi, 5 df, 6 bfi, 7 ade, 8 e.

## Evaluation:

 Quizzes (20 minutes, best three counted) May 4, May 11, May 25, June 8 20% Class Tests (one hour each) May 16, June 1 40% Final Examination (three hours) To be scheduled by the University 40%

There will be no makeups for missed quizzes or class tests. If you miss more than one quiz or any test for medical (or other unexpected and unavoidable) reasons and provide appropriate (medical or other) documentation, its weight will be transferred to the final examination. Otherwise, the mark for the missed work will be 0. Do not make June travel arrangements prior to the official announcement of the final examination date.

Alternate Grading Scheme: The term grade is calculated
(1/3)*Quiz average + (2/3)*Test average.
If your final examination grade is higher than your term grade, the exam will have weight 60%.

Note: Students must bring appropriate photo identification to all quizzes, tests and to the exam.

The use of calculators will not be permitted.

Solutions to Quizzes and Tests:

• Quiz 1 Version 1
• Quiz 1 Version 2
• Quiz 2 Version 1 (corrected)
• Quiz 2 Version 2 (corrected)
• Test 1 Version 1 (corrected)
• Test 1 Version 2 (corrected)
• Quiz 3
• Test 2
• Quiz 4

Course Pages including quizzes and tests from other instructors:

• Professor Tom Salisbury, Winter 2010
• Professor Stan Kochman, Fall 2009

To read files in pdf format you can use the the free Acrobat reader.

Note: The last date to drop the course without academic penalty is May 27. It is extremely important that you realistically assess your course performance prior to this date.

Eli Brettler