MATH 1000 Common Outline

Instructor:

Office, email:

Office hours:

Additional material online (available through the Course website http://www.mathstat.dal.ca/~tkolokol/classes/1000):

Textbook: Calculus - Early Transcendentals, Fifth Edition, by James Stewart. This textbook will also be used in Math 1010 by those students who continue in Calculus in the Winter term of their first year. It is bundled with a solution manual. Students who intend to continue Calculus in their second year are encouraged to purchase an extended version of the textbook which also covers the topics covered in Math 2001/2. Used textbooks, including previous editions, can also be used. The material hasn't changed much in the last 100 years; but the publisher regularly makes small changes in problem and chapter numbering from one edition to the next, so you need to be aware of that.

If you find the textbook difficult, you might consider the (optional) Study Guide which emphasizes the most basic ideas and includes more steps than the Solutions Manual in working through typical problems. The Guide is available through the Bookstore (a few copies will be available for short-term borrowing in the Reserve Section of the Killam Library and in the Math&Stat Learning Centre, Chase B009).

Homework: Homework will be given out and graded electronically, using the online AIM system. Expect about one mandatory AIM assignment per week. In addition, practice questions (not graded) are given (see below).

Grading scheme: AIM Assignments: 20%; Two midterms (October 16 and November 20): 30%; Final Examination: 50%. A final exam grade of at least 40% is required to pass the course. Calculators are NOT allowed during the midterm or final examinations. The first midterm and the final exam are common to all the sections. The second (in-class) midterm will be specific to your individual class section, written by your instructor. Sample midterms and finals will be provided.

Conversion scale: [0-50) F, [50-55) D, [55-58) C-, [58-62) C, [62-65) C+, [65,70) B-, [70-75) B, [75-80) B+, [80-85) A-, [85-92) A, [92-100] A+.

Tutorials: Please go to Room B009 and sign up for a tutorial session that fits your schedule. These are run by graduate students and consist of problem solving sessions. They are designed to give you more practice with the type of problems that might appear on exams.

Math&Stat Learning Centre: Room B009 in the basement of the Chase Building. A calculus tutor will normally available on weekdays between 9 a.m. and 7 p.m. (5 p.m. on Fridays). First come, first served, no charge. There are large tables where you can work together (on Math or Stats classes only, please).

The Diagnostic test and preparatory classes Dalhousie's College of Continuing Education is offering Saturday refresher classes for Calculus as well as a pre-calculus course. A self-assesment test ( http://www.mathstat.dal.ca/~brown/diagnostic.htm ) gives you the opportunity to identify weak topics in a non-threatening way. A mark of over 27 out of 32 on this multiple-choice pre-calculus test is very good, and less than 14 is very worrying. For more information about these classes see here.

Students with disabilities are encouraged to register as quickly as possible at the Student Accessibility Services if they want to receive academic accommodations. To do so please phone 494-2836, e-mail access@dal.ca , drop in at the Killam, G28 or visit our website at www.studentaccessibility.dal.ca.

Intellectual Honesty and Plagiarism: Please read the section on academic honesty in the student calendar, page 34.

Schedule: The approximate week-by-week schedule is given below.

September 7-8

Introduction, tangents, velocity (2.1)

September 10-15

Limits and continuity (2.2-2.6)

September 18-22

Tangents, rates of change, derivative (2.7-2.9)

September 25-29

Differentiation rules, exponential function (3.1, 1.5, 3.2)

October 2-6

Differentiation rules cont. (3.3 – 3.5)
Last day to drop without “W”: October 6.

October 9-13

October 9: Thanksgiving Day, no class.
Inverse functions (including inverse trigs), implicit differentiation (1.6, 3.6)

October 16-20

October 16: Midterm, 19:05-20:55.
Derivatives of inverse trigs, logarithmic differentiation (3.6, 3.8), higher derivatives (3.7)

October 23-27

Related rates, linear approximation, max/min problems, mean value theorem (3.10, 3.11, 4.1, 4.2)

October 30 – November 3

Graphing, L'Hôpital's rule (4.3, 2.6, 4.4)

November 6-10

Graphing cont. (4.5), optimization problems (4.7)
Last day to drop with “W”: November 6

November 13-17

November 13: in lieu of Remembrance Day, no class.
Antiderivatives (4.10), area, definite integrals (5.1, 5.2)

November 20-24

November 20: Midterm, in class.
Fundamental theorem of calculus, indefinite integrals (5.3, 5.4)

November 27 – December 1

Net change theorem (5.4), substitution rule (5.5), optional material or review.

December 4

Review.


Assignments: All sections of Math 1000 do online (AIM) assignments. These are mandatory and are worth 20% of your grade. See AIM webpage for more information about these. THERE WILL BE NO MAKE-UPS FOR MISSED OR LATE AIM ASSIGNMENTS.

The work you do each week is in two parts.

(a) First, you should try the odd-numbered Suggested Problems from the appropriate sections of the text. These problems are listed below and have fairly complete answers in the Solutions Manual. No credit is given for these, but they are essential. The exams will be based primarily on questions very similar to the Practice Problems. Please try hard not to use the Solutions Manual at the first hint of difficulty!

(b) Second, about once per week, there will be on-line AIM assignments worth 20% of your mark.

Suggested problems: We do not attempt to cover every detail of the sections of the text given here. The practice problems indicate the emphasis in each section. Other topics may also be covered in class.

2.1 #1
2.2 #1-9, 13-27
2.3 #11-29
2.4 Omit
2.5 #1-7, 15-19, 37, 39, 45-49.
2.6 #13-19, 23, 27-33
2.7 #1-11, 15, 17
2.8 #1-7, 13, 27, 29, 35
2.9 #4-13, 17, 25, 29, 37.
3.1 #1-31, 39, 41, 45, 47, 49, 51
3.2 #1-27, 39, 43
3.3 #1, 3, 9-13 [29 on marginal cost and 35 on predator-prey]
3.4 #1-25, 45
3.5 #1-11, 17-27, 65-67.
3.6 #1-13, 25-29, 41-45, 63
1.6 #63-71
3.7 #1-13, 29-31, 33-37, 43-51.
3.8 #1-13, 29-31, 35-46.
3.10 #1-11, 23, 25, 31, 33
3.11 #1-13
4.1 #1-61 (some, as necessary)
4.2 Add 1-5, 11, 15, 17-20
4.3 #1-13, 17, 21-23, 31-35, 45-47
4.4 #5-29, 37, 45-51, 57, 67, 69
4.5 Selection from 1-52
4.6 Omit
4.7 #1-11, 15-17, 29-33
4.8 Omit
4.9 Omit
4.10 #1-15, 17, 19-37, 45, 49, 65-69, 73
5.1 #3, 11, 13, 17
5.2 Selection
5.3 #1-7, 19-35, 57-59
5.4 #1, 5-13, 17-37, 45-47
5.5 #1-37, 49-69, 77