Fall 2016: Calculus (Math 211, Lectures 1 and 2)

INSTRUCTOR:
Manuel Gonzalez Villa, Van Vleck Assistant Professor, (villa@math.wisc.edu)

TEACHING ASSISTANTS:

Lecture 1

Discussion section 304 and 307: Hao, Jing (jing.hao@wisc.edu)
Discussion section 305 and 308: Ye, Dongxi (dye@math.wisc.edu)
Discussion section 309 and 312: Shi, Ziming (zimingshi@math.wisc.edu)
Discussion section 310 and 311: Bhojraj, Tejas S. (bhojraj@math.wisc.edu)

Lecture 2:

Discussion section 321 and 324: Legried, Brandon J. (blegried@math.wisc.edu)
Discussion section 322 and 328: Huang,Shengyuan (shuang@math.wisc.edu)
Discussion section 323 and 326: Huang, Hang (hhuang235@math.wisc.edu)
Discussion section 325 and 330: Lu, Hanqing (hanqing@math.wisc.edu)
Discussion section 327 and 329: Marsico, David (dmarsico@math.wisc.edu)

LECTURES:

Lecture 1: MoWeFr 12:05 - 12:55 , VAN VLECK B130

Lecture 2: MoWeFr 09:55 - 10:45, INGRAHAM B10

DISCUSSION SESSIONS:

DESCRIPTION:

Math 211 covers essential concepts of differential and integral calculus; exponential and logarithm functions and functions of several variables. This course (together with Math 210) forms an introduction to calculus and related topics designed primarily for prebusiness students and social scientists. Course Content: Functions, Derivatives and their applications, Exponential and logarithm functions, Integration and its applications, Integration techniques, Calculus of several variables, Differential equations...

TEXTBOOK:

Brief Applied Calculus, J. Stewart and D. Clegg, CENGAGE Learning, ISBN: 9781285106519
The ISBN 9780534423827 is also correct.

Check the webpage for the textbook.
One can download this pdf file containing the first chapter.
Here is a pdf file for the diagnostic text.
See also the web for our textbook at stewartcalculus.com

Some links about J. Stewart, author of the textbook:
wikipedia
Interview with J. Stewart, manuscript and video.

GRADE:

Homework: 15%
Quizzes at discussion session: 10%
Midterm 1: 20%, Midterm 2: 25 %, Midterm 3: 30%.
The final grade will be curved.
The homework will be weekly and will be posted online (see bellow).
There will be 6 biweekly quizzes, one each for chapter. The lowest will be dropped.

MIDTERMS AND EXAMS:

The midterm exam will be in class and will take place on and during the usual lecture time. All midterm exams are cumulative. Midterm 1 will cover chapters 1, 2. Midterm 2 will cover chapters 1, 2, 3 and 4. Midterm 3 will cover chapters 1, 2, 3, 4, 5 and Section 6.1.
Midterms 1 and 2 will be in class. Midterm 1 will take place on Friday, October 7. Midterm 2 will take place on Wednesday, November 9. Please notice the change date for Midterm 2 Midterm 3 will be an evening exam on December 9th (7:15 - 9:15 pm). Place: Social Science 6210 (Lecture 1), Bascom 272 (Lecture 2).

All exams are closed book exams. Books, tablets, cellphones, computers, headphones, and calculators will not be permitted for exams. Bring ONLY your student ID, and pencils or pens to all exams.

If you are eligible for special consideration on exams, please let me know as soon as possible, so that I can ensure that your needs are accommodated.

Make-up exams will be considered only if there is a conflict with another university-related event, or a last-minute medical/family emergency. In the former case you need to contact me or your TA as soon as possible. In the later you need to show proof of such emergency (doctor's notes, for example).

BRIEF LECTURE SCHEDULE:

We aim to cover all chapters of the textbook with the exception of section 6.3. This plan is approximate, and might change depending on time constraints. The following brief lecture outline will be more accurate, and will be updated very frequently.

• Lecture 1: Wednesday, September 7
  
  • Syllabus and introduction.
• Lecture 2: Friday, September 9
  
  • Section 1.1
• Lecture 3: Monday, September 12
  
  • Section 1.2. Up to translations.
• Lecture 4: Wednesday, September 14
  
  • Continuation of Section 1.2 & Section 1.3
    Additional material:
    Comparison of two lines with least square method (Example 7 Section 1.3 Stewart Clegg
    
• Lecture 5: Friday, September 16
  
  • Section 1.4
• Lecture 6: Monday, September 19
  
  • Section 1.5
• Lecture 7: Wednesday, September 21
  
  • Section 1.6.
• Lecture 8: Friday, September 23
  
  • Section 2.1.
• Lecture 9: Monday, September 26
  
  • Section 2.2.
• Lecture 10: Wednesday, September 28
  
  • Section 2.2. & 2.3
• Lecture 11: Friday, September 30
  
  • Section 2.3 (skip Estimating Derivative Values, left as Reading Assignment).
• Lecture 12: Monday, October 3
  
  • Section 2.4.
• Lecture 13: Wednesday, October 5
  
  • Review Chapters 1 and 2.
• Lecture 14: Friday, October 7
  
  • Midterm 1 (in class), covering Chapters 1 and 2.
• Lecture 15: Monday, October 10
  
  • Section 2.4.
• Lecture 16: Wednesday, October 12
  
  • Section 2.4
• Lecture 17: Friday, October 14
  
  • Section 3.1
• Lecture 18: Monday, October 17
  
  • Section 3.3
• Lecture 19: Wednesday, October 19
  
  • Section 3.4
• Lecture 20: Friday, October 21
  
  • Section 3.5. (We skip 3.6., for the moment, will be covered later if time is available)
• Lecture 21: Monday, October 24
  
  • Section 3.2. (skip Subsection Linear Approximation on pages 148-150 and Demand curves on pages 154-155, left as reading assignment)
    Additional material Graphs for Examples 1 and 3 of Section 3.2 and corresponding Maple file
    Unfortunately Maple software is available for download to faculty and staff only. Try other free resources as WolframAlpha.
• Lecture 22: Wednesday, October 26
  
  • Section 3.2 and 4.1
• Lecture 23: Friday, October 28
  
  • Section 4.1
• Lecture 24: Monday, October 31
  
  • Section 4.2.
• Lecture 25: Wednesday, November 2
  
  • Section 4.3
• Lecture 26: Friday, November 4
  
  • Section 4.5
• Lecture 27: Monday, November 7
  
  • Review for Midterm 2
• Lecture 28: Wednesday, November 9
  
  • Midterm 2 (in class) covering Chapters 1, 2, 3 and 4.
• Lecture 29: Friday, November 11
  
  • Section 4.4.
• Lecture 30: Monday, November 14
  
  • More on Section 4.5.
• Lecture 31: Wednesday, November 16
  
  • Section 4.6.
• Lecture 32: Friday, November 18
  
  • Section 5.1.
• Lecture 33: Monday, November 21
  
  • Section 5.1 and 5.2
• Lecture 34: Wednesday, November 23
  
  • Review and Miscellanea
• Lecture 35: Monday, November 28
  
  • Section 5.2.
• Lecture 36: Wednesday, November 30
  
  • Section 5.4.
• Lecture 37: Friday, December 2
  
  • Section 5.5
• Lecture 38: Monday, December 5
  
  • Section 5.3 and 6.1.
• Lecture 39: Wednesday, December 7
  
  • Review for Midterm 3
• Lecture 40: Friday, December 9
  
  • Review for Midterm 3. Evening Midterm 3 exam covering chapters 1, 2, 3, 4, 5 and Section 6.1.
• Lecture 41: Monday, December 12
  
  • Sections 6.2. & 6.4.
• Lecture 42: Wednesday, December 14
  
  • Section 6.4. & 6.5.

It will be assigned on a weekly basis on-line and will be collected on the due date in your discussion section.
Graded HW will be returned at the beginning of your discussion section.
Students are encouraged to collaborate on assignment problems in groups; however, submitted assignments must be the work of the individual submitting the assignment. Copying any portion of an assignment directly is academic fraud!
Late assignments will not be graded.

• Homework 1 (due on Monday, September 19 (Lecture 1) or Tuesday, September 20 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 1.1:
    • Required/mandatory: 8, 23, 42, 43 and 53
    • Recommended: 7, 24, 37-40, 43, 51, 54-60.
  • Section 1.2:
    • Required/mandatory: 11, 15, 35, 43, 48 and 52
    • Recommended: 12, 16, 44-46

• Homework 2 (due on Wednesday, September 28 (Lecture 1) or Thursday, September 29 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 1.3:
    • Required/mandatory: 3, 5, 35, 40
    • Recommended: 2, 8, 13, 15, 20, 22, 26, 31, 43, 49, 51
  • Section 1.4:
    • Required/mandatory: 4, 10, 21 (solution to part (b) is not unique) and 40
    • Recommended: 13, 15, 17, 35, 37
  • Section 1.5:
    • Required/mandatory: 12, 36, 40
    • Recommended: 14, 20, 25, 27, 29-30

• Homework 3 (due on Wednesday, October 5 (Lecture 1) or Tuesday, October 4 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 1.6:
    • Required/mandatory: 46,48
    • Recommended: 19, 20, 27, 28, 31, 32, 43, 44, 47
  • Section 2.1:
    • Required/mandatory: 12, 20
    • Recommended: 2, 4, 11, 13, 14, 17
  • Section 2.2:
    • Required/mandatory: 22, 30, 34, 44, 48, 50
    • Recommended: 20, 37, 43, 45, 47, 49

• Homework 4 (due on Wednesday, October 19 (Lecture 1) or Thursday, October 20 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 2.3:
    (Please notice that sometimes you are asked to use a particular Definition or Method)
    • Required/mandatory: 4, 6, 10, 12, 14, 20, 26, 32, 34, 38
    • Recommended: 1-3, 5, 23, 24, 35-37
    • Reading assignment: Subsections Applications of the Derivative and Estimating Derivative Values on pages 103-108.
  • Section 2.4:
    (Please notice that sometimes you are asked to use a particular Definition or Method)
    • Required/mandatory: 4, 6, 24, 26, 29, 31-32, 35-36 and 39.
    • Recommended: 3, 5, 40
  • Section 3.1:
    • Required/mandatory: 8, 10, 14, 24, 30, 33, 42, 44, 52 (not graph), 54 (not graph), 58
    • Recommended: 13, 29, 33, 39, 41, 43, 51, 53, 57, 65 and 66.

• Homework 5 (due on Wednesday, October 26 (Lecture 1) or Thursday, October 27 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 3.3:
    (Please notice that sometimes you are asked to use a particular Definition or Method)
    • Required/mandatory: 2, 4, 6, 8, 10, 14, 16, 18, 30 (a), 32 (a), 34 (a), 36, 38, 40, 42.
    • Recommended: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19-24, 29, 31, 33, 35, 37, 39, 41.
  • Section 3.4:
    (Please notice that sometimes you are asked to use a particular Definition or Method)
    • Required/mandatory: 2, 4, 6, 8, 10, 12, 14, 16, 20, 24, 26, 30, 32, 36, 38, 44, 50 (a), 52 (a), 60.
    • Recommended: 1, 3, 7, 9, 11, 13, 23, 29, 31.

• Homework 6 (due on Wednesday, November 2 (Lecture 1) or Thursday, November 3 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 3.2:
    
    • Required/mandatory: 16, 20.
    • Recommended: 4, 6, 14, 23-24 (read the subsection Demand curves before)
    • Reading assignment: Subsection Linear Approximation on pages 148-150 and Demand curves on pages 154-155.
  • Section 3.5:
    
    • Required/mandatory: 2, 6, 16, 18, 24, 32, 40, 54
    • Recommended: 1, 5, 11, 15, 17, 22, 26, 28, 30, 45-46, 53
  • Section 4.1:
    
    • Required/mandatory: 4, 6, 8, 26.
    • Recommended: 1, 3, 5, 9, 20, 30.

• Homework 7 (due on Wednesday, November 16 (Lecture 1) or Thursday, November 17 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 4.2:
    
    • Required/mandatory: 24, 34, 36, 40, 42, 60.
    • Recommended: 4, 6, 37, 38, 46, 59.
  • Section 4.3:
    
    • Required/mandatory: 6, 10, 12, 14, 16, 20, 28, 32.
    • Recommended: 22, 24, 29, 33-34, 41, 42.
  • Section 4.4:
    
    • Required/mandatory: 4, 6, 12, 18, 20, 30, 32.
    • Recommended: 3, 5, 7, 14, 16, 34..

• Homework 8 (due on Wednesday, November 30 (Lecture 1) or Thursday, December 1 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 4.5:
    
    • Required/mandatory: 12, 14, 16, 20, 22, 24, 26, 28.
    • Recommended: 2, 4, 6, 8, 10, 21, 23, 25, 27.
  • Section 4.6:
    
    • Required/mandatory: 6, 8, 12, 14, 24.
    • Recommended: 2, 3, 4, 5, 7, 11, 13, 21, 22.
  • Section 5.1:
    
    • Required/mandatory: 4, 10, 12, 17, 18, 20, 22, 24.
    • Recommended: 1, 2, 8, 9, 11, 15, 16, 19.

• Homework 9 (due on Wednesday, December 7 (Lecture 1) or Thursday, December 8 (Lecture 2), at the beginning of your discussion session)

  No late assignment will be corrected.

  Please write your name, discussion session and TA name at the top of your assignment and staple all the sheets you turn in. Please turn in only the required/mandatory exercises. Please use clear handwriting and clean presentation to easy the correction of the homework.

  • Section 5.2:
    
    • Required/mandatory: 16, 18, 20, 22, 32, 36, 42, 48, 50, 62.
    • Recommended: 2, 6, 8, 24, 26, 28, 30.
  • Section 5.3:
    
    • Required/mandatory: 12, 16, 28, 30, 36.
    • Recommended: 16, 18, 21, 24, 32, 34.
  • Section 5.4:
    
    • Required/mandatory: 2, 4, 8, 14, 36, 46, 48, 50.
    • Recommended: 6, 12, 18, 26, 34, 42.
  • Section 5.5:
    
    • Required/mandatory: 2, 6, 12, 14, 20.
    • Recommended: 1, 4, 8, 10, 16.

  QUIZZES:

  There will be 5 quizzes, one each for chapter. The lowest will be dropped.

  OTHER RESOURCES:

  The university and math department offers helps for students in need.

  Mathlab Free, drop-in tutorial program offered by math department. Staffed primarily by Mathematics Department teaching assistants. free!

  Tutorial Program. Also offered by math department. Limited seating, please visit Frank Rooney (frooney@math.wisc.edu) in Van Vleck 320 for signing up. free!

  Guts Guts(The Greater University Tutoring Service) is supported by the university with volunteer tutors. Check the link for more details. free!

  University Residence Halls Academic Tutoring

  Private Tutors. Lastly, if you prefer, some math department graduates offer tutoring services. Check the link for more details.