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

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

- Tangents to curves (implicit differentiation)
- Chain rule for differentiation, derivative of inverse function
- Exercise on increasing/decreasing functions (sign of derivatives)
- Determination of asymptotes (appropriate limit values required)
- Standard curve sketching problem
- L'Hôpital's rule

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

**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

- 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)

- 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.

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.

(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:**

**Course Pages including quizzes and tests from other
instructors:**

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