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OBERLIN COLLEGE
MATH 131: Calculus I
Schedule: M W F 9 am-9:50
Room: KING 327
3 NS QP half
Inspiration: "The overall structure of the calculus is simple. The subject is defined
by a fantastic leading idea, one basic axiom, a calm and profound intellectual invention,
a deep property, two crucial definitions, one ancillary definition, one major theorem, and the fundamental theorem of the calculus."
David Berlinski, A Tour of the Calculus, (1995)
Instructor: Kay Knight
Office: Peters 114, Phone 56538
Office hours : Mon. 11-12; Tues. 1:30-2:30; Wed. 3-4; Th 1-2
Text: J. Stewart, Single Variable Calculus, 7th Edition Functions, Limits & Derivatives
Course Objectives:
To understand the overall structure of the calculus as suggested in the above quotation.
To solve problems that require an understanding of the signs, symbols,
rules and operations with equations, functions, graphs, limits and derivatives.
To appreciate the necessity and usefulness of the calculus.
Evaluation: Percentage of Total Points accumulated from the following:
4 exams: Sept. 24, Monday 100
Oct. 17, Wednesday 100
Nov. 19, Monday 100
Dec. 12, Wednesday 100
12 Assignments (most with written explanations) 30 pts each
4 prep problem sets, 10pts each 40
Quizzes, Class work, ~100
Final Exam, Tuesday, Dec. 18 2-4 pm 200 Total points ~ 1100 points
Grades: Percentage of Total Points: 100 % A+; 99 - 94% A ; 93, 92 % A - ;
91, 90 % B+ ; 89 - 83% B ; 82, 81 % B - ; 80, 79 % C+; 78 72% C;
71, 70 % C- ; 69 - 61% D ; below 61% not passing
Calculus 132
M W F 10 am - 10:50 3 hrs credit 3 NS, full QP Instructor: Kay Knight
Textbook: J. Stewart, Single Variable Calculus Office: Peters 114, phone 56538
Attendance: Successful students are in class, on time, every time.
Assignments may not be accepted after 4 pm on the date due.
Suggested Plan of Study:
1. The syllabus shows the essential examples that should be studied prior to, or soon after, each class.
2. Practice as many of the example and problems from each section as possible.
3. If you would like, submit practice problem(s) with specific questions or comments to me any time for my remarks and suggestions.
4. Carefully work the assigned problems by the dates due.
5. In preparation for exams re-work specific problems, and formulate clear definitions and explanations for procedures and concepts in your own words. Understand the graphs. Seek to understand problems geometrically, numerically, algebraically and verbally. Exams usually contain a few questions that require thinking about the problems and concepts in a new way.
Honor Code Policy: All work must be your own for examinations, quizzes, assignments and problem set. EXAMS must include a hand-written, signed statement of the Honor Pledge:
I affirm that I have adhered to the Honor Code in this assignment."
In the absence of the honor pledge on an exam a grade may not be recorded.
Written Work:
1. Problem Sets, short assignments, classwork and exams should be neat and logical. 2. Show all necessary steps in arriving at your answer. 3. Clearly identify your answer.
4. Allow enough space for and between each problem.
5. Include questions you may have for a specific problem.
6. Comment if you realize your answer is not reasonable.
The 12 Assignments (usually 5 problems each) are to include some written comments and/or explanations for each problem. Perhaps identify a theorem used or explain the procedure. Write some sentences for each of the problems in an assignment.
The 4 Problem Sets do not require written explanations, but all necessary steps must be shown.
Study Groups: Join a study group to facilitate cooperative learning. You may use help from your study group for assignments and Problem Sets, however, make your work your own.
Calculator: Graphing Calculators MAY NOT be used during exams or for standard graphing problems that are assigned. A regular scientific calculator, however, is helpful for personal use at any time.
Extra Help: Call me, 56538. Come by my office. Send an e-mail.
Note: I am always glad to help students with part of the assignments or problem sets. BUT, you must first show that you have begun work on the problem(s) in question.
Tutors for Calculus are available through the department of Student Academic Services, also in Peters 114. The Mathematics Department offers Drop In Tutoring four evenings a week TBA. You may signup for individual help sessions with me T-F (noon) on Blackboard.
Calculus 131 Syllabus Fall 2012
Session Date Topic Suggested examples for study
1. Wed. Sept 5 Functions and Change 1.1 ex 1,2,4
2. Fri. Sept 7 Linear, Geometry test 1.2 ex 1, 2,3
3. Mon. Sept 10 Basic Types of Functions, Trig & transformations
1.1 ex 6,8; 1.2 ex 5; 1.3 ex 1,2,3,5
** 1st Assignment DUE: Appendix 15: # 24, 26, 28, 30, 32, 34, 36; 1.1 # 6, 14; 1.2 # 18
4. Wed. Sept 12 Combination, composition, piecewise
1.1 ex 7,9,10; 1.2 ex 4; 1.3 ex 6, 7, 8, 9
5. Fri. Sept 14 In terms of, DQ, Algebra test 1-7 1.1 ex 3, 5
** 2nd Assignment DUE: 1.1 # 49, 50, 53, 54, 55, 56; 1.2 # 4; 1.3 # 39, 48, 56
6. Mon. Sept 17 Sketching, even/odd functions 1.1 ex 11; 1.3 ex 4
7. Wed. Sept 19 Problems P+ ex 1,2
**3rd Assignment DUE: 1.3 # 4; 1.1 # 25, 57, 58, 60, 61, 62, 63, 70, 72
8. Fri. Sept 21 Problems, T/F, Function test
Prep Problems: p. 93: Concept Check # 2, 6, 7, 8, 11;
p. 95 exercise: # 1, 3, 5, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22
9. Mon. Sept 24 First Exam
10 Wed. Sept 26 No Class
11. Fri. Sept 28 Limits, Graphs, Infinity, Continuity, Heaviside,
finish Algebra test 8-10 2.2 (1.5) ex 6, 7,8,9,10; 2.5 (1.8) ex 1, 2
12. Mon. Oct. 1 Limits 2.2(1.5) ex 1,2; 2.3(1.6) ex 2,3,4,5,6
13. Wed. Oct. 3 Limit Laws 2.3(1.6) ex 7, 8; 2.5(1.8) ex 5
**4th Assignment DUE 1.4 # 6 ; 1.5 # 1, 2, 4, 8, 10, 11, 16; 1.8 # 18, 42
14. Fri. Oct 5 SQ, IVT, Greatest Integer 2.2(1.5) ex 3,4; 2.3(1.6) ex,10,11 2.5(1.8) ex 3, 9;
15. Mon. Oct 8 Precise Definition 2.4 ex 2,3,4
**5th Assignment DUE: 1.5 # 36, 37; 1.6 # 14, 16, 22, 24, 26, 38, 39, 54
16. Wed. Oct 10 More Precision
17. Fri. Oct 12 Practice
**6th Assignment DUE: 1.6 # 62, 63; 1.7 # 16, 18, 20, 29, 42; 1.5 # 18; 1.8 # 50, p 102 # 6
18. Mon. Oct 15 Review
Prep Problems: p 94 top: # 13, 16, 17, 18, ; p 96: # 23, 24, 26,
27, 28, 29, 30, 35, 36, 39, 40, 41, 43, 45, 46, 49
19. Wed. Oct 17 Second Exam
20. Fri. Oct 19 Derivatives: Rates and Velocity and the DQ
3.1(2.1) ex 1,2,3
FALL BREAK
21. Mon. Oct 29 Equation of the tangent line 3.1(2.1) ex 5,6;
22. Wed. Oct. 31 Graphs, graphs NOT differentiable, Trigonometry test 1-4
3.2(2.2) ex 1, 5
23. Fri. Nov. 2 DQ, Power Rule 3.1(2.1) ex 4, 5; 3.2(2.2) ex 2,3,4,6; 3.3(2.3) ex 1,2,3,4,5
**7th Assignment DUE 2.2: 17, 18, 19, 20, 21, 22, 23, 37, 54, 56
24. Mon. Nov 5 Power Rule, Product, Quotient, Trig
3.3(2.3) ex 6,7,8,9,10,11,13; 3.4(2.4) ex 1
25. Wed. Nov 7 Trig proofs 3.4(2.4) ex 4, 5, 6
**8th Assignment DUE: 2.4: 1, 2,3,5, 6,11, 12, 13, 14, 16, 23, 26(simplify first) 28, 30, 33, 34, 37, 38, 42, 52note: 20 problems here. No sentences expected.
26. Fri. Nov 9 Chain Rule, Normal Line 3.5(2.5) ex 3. 6; 3.3(2.3) ex 12
27. Mon. Nov 12 Important Problems Trigonometry test 5-9
3.5(2.5) ex 1,2, ,4,5; 3.3(2.3) ex 13
**9th Assignment DUE: 2.3 #56, 64a,b; 68, 73, 76, 78; 2.5 #24, 28, 31, 34;
2.4 # 40, 42, 43, 44, 48
note: 15 problems here. The last 5, from 2.4 do not require sentences. The first 10 should have explanations.
28. Wed. Nov 14 More Trig Proofs
29 Friday, Nov. 16 Practice
Prep Problems: p190 concept check: 1, 5, 6, 8;
p 191 # 2, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 21, 47, 48, 54, 59
30. Mon. Nov 19 Third Exam
31. Wed. Nov 21 Implicit and Word Problems 3.6(2.6) ex 1,2,4 ; 3.7(2.7) ex 2,8**
Thanksgiving Break
Fri. Nov. 23 free day
32. Mon. Nov 26 Related Rates 3.7(2.7) ex 8; 3.8(2.8) ex 1, 4
33. Wed. Nov 28 practice 3.7(2.7) ex 1; 3.8(2.8) ex 2,3,5
34. Fri. Dec. 30 Linearization 3.9(2.9)ex 3,4
**10th Assignment DUE 2.7 # 2, 8, 18, 28a, 30; 2.8 # 4, 8, 11, 18, 20
35. Mon. Dec. 3 Practice
36. Wed. Dec 5 Problems
**11th Assignment DUE 2. 9 # 12a, 18, 22, 32, 36 note: only 5 here. Include explanations.
37. Fri. Dec 7 special problems
38. Mon. Dec 10 review
**12th Assignment DUE 2.9 # 42; 2.8 # 28, 38; p 192&193 # 50, 54, 73, 74, 76, 79, 85
39. Wed. Dec 12 Fourth Exam
40. Friday Dec 14
Prep Problems for Final due before 2 pm Dec. 18.
1.1 # 22 ; 1.2 # 22 a, b(find linear equations) c; 1.3 # 62; 1.5 # 6, 44; 1.6 #50; 1.7 # 4, 22; 1.8 # 56a; p 102 # 6, 2.1# 48; 2.2 #44, 56; 2.3 # 84, 106 ;
2.5 #44; 2.6 # 28 ; 2.7 # 14; 2.8 #6; 2.9 #32.
Tuesday, December 18, 2-4 pm Final Exam
Guidelines in the event a Substitute is needed for Kay Knights
LRNS classes: Tuesday and Thursday
Classroom Location: Peters 102 Kay Knight Office: Peters 114
Upon entering my office notice a large wooden bookshelf to the left.
A notebook for the current LRNS class is on the right of the 4th shelf
(counting from either the top or bottom).
Fall Semester, 1st Module: Quantitative Skills for Math
Fall Semester, 2nd Module: Skills for Algebra
.Offered again in 2011 Fall 2nd Module: Teaching and Tutoring Mathematics
Spring Semester 1st Module: Skills for Statistics
Spring Semester 2nd Module: Trigonometry
Each notebook contains a syllabus that lists the class sessions by date, and topic.
Within each notebook are class handouts and assignments. These are grouped by session, and each group is simply separated by some type of colored paper.
The current next lesson should be at the top of the set of papers within the notebook.
There should be enough copies of handouts and assignments for the class. I do not take the
notebook to class, but rather take only the set of papers for the current class session.
The substitute will use the various handouts during the class period.
Class Procedure:
1. First collect the current assignment from the previous session. An assignment is due at each class session. Take a few minutes at the beginning of the class period to allow students to recognize problems, which caused difficulty. You, or a student, may be able to explain these so that a few troublesome problems can be completed. Remind students to put names on papers and then collect the assignments.
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rr$r%r&r'r(rgdI`]`gdI. Use the handouts for class work. The information on the handouts can be read aloud. Many practice examples have the answers provided.
Usually there is more material on the handouts than can be covered in the 50 minutes.
3. At the end of class pass out the new assignment.
4. After students leave gather together the remaining papers and the Current assignment that was turned in. Return to my office and place all those papers at the back of the proper notebook so that the papers for the next session are on top.
Thanks! Kay Knight
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