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                                          Math 283 Honors Multivariate Calculus (Fall 2017)

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                   title 1   title 2

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        Instructor  
  Mark Pernarowski 
        Textbook  
Calculus: Early Transcendentals, 3rd ed.: J. Rogawski, C. Adams
        Section  
01
        Office Hours   Schedule (Wil 2-236)
        Phone   994-5356
        Classroom  
Wil 1-122  (MTRF 8am)

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Grading: The course % is determined by:

   Midterm 1      M1           100 
   Midterm 2      M2           100
   Final                F            100
   Quizzes           Q           100
  ________________________________
                                        400

         % = (M1+M2+F+HW)/4
 
The final is not comprehensive.
Six quizzes each worth 20 points
will be given. Your best 5 quiz
scores determine Q above.

Exam and quiz dates are indicated
below. Their content will be announced in class.


All exams and quizzes are closed
book and no electronic devices
are permitted.


Syllabus: Material covered in text is from:

Chapter 12: Vector Geometry 
Chapter 13: Vector Valued Functions 
Chapter 14: Differentiation in Several Variables 
Chapter 15: Multiple Integration 
Chapter 16: Line and Surface Integrals 
Chapter 17: Fundamental Theorems of Vector Analysis 

Homework: Suggested homework is listed below.

Although the homework is not graded
it is representative of the kinds of
questions which will be on quizzes
and exams.

Some additional problem sets and/or
handouts will be handed out in class
and/or posted on this site below.

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Schedule Anticipated schedule for lectures showing quizzes (orange), tests (red) and holidays (green).
                   
 Sunday Monday Tuesday Wed Thursday Friday Saturday
27               
28
(12.1/12.2)
29
(12.1/12.2)
30
31
(12.2/12.3)
1
(12.3)
2
3
 
4
Labor Day
5
(12.3/12.4)
6
7
(12.4)
8    (Q1)
(12.4)
9
 
10
 
11
(12.5)
12
(12.5)
13

14
(12.5/12.6)
15
(13.1)
16
 
17
 
18
(13.1)
19
(13.2)
20

21
(13.3)
22  (Q2)
(13.3)
23
 
24
 
25
(13.4)
26
(13.5)
27

28
Review
29
Midterm 1
30
 
1

2
(14.1)
3
(14.2)
4

5
(14.3)
6
(14.3)
7
 
8
 
9
(14.4)
10
(14.5)
11

12
(14.5)
13  (Q3)
(14.6)
14
 
15
 
16
(14.6)
17
(14.7)
18
19
(14.7)
20
(14.7)
21
 
22
 
23
(14.8)
24
(14.8)
25

26
(15.1)
27  (Q4)(15.2) 28
 
29
 
30
(15.2)
31
(15.2)
1

2
Review
3
Midterm 2
4
 
5
 
6
(15.3)
7
(15.3)
8

9
(15.4)
10
Vetran's Day
11
 
12
 
13
(15.4)
14
(15.4)
15
16
(15.6)
17  (Q5)

18
 
19
 
20
(16.1)
21
(16.2)
22
Thanksgiving
23
Thanksgiving
24
Thanksgiving

25
 
26
 
27
(16.2)
28
(16.3)
29
30
(16.4/16.5)
1  (Q6)
(16.4/16.5)
2
3
4
(17.1)
5
(17.2)
6
 
7
(17.3)
8
Last Class
9
10
11
 
12
Final 4-5:50
13 14 15
16

 

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Suggested Homework and Syllabus

     
12.1  9,23,33,35,37,39,43,47,61  Vectors in the plane
12.2 5,9,11,19,25,29,31,35,37,43,47,51,52,53  Vectors and lines in R^3
12.3 1,11,13,15,19,21,23,25,35,39,43,,49,55,57,67  Dot Products, angles, orthogonal, projection
12.4 9,11,13,21,28,30,37,41,43,44,45  Cross Product
12.5 3,13,15,17,21-23,25,27,29,39,41,55,57,63,65,69  Planes in 3D
12.6 just read the section  Survey of Quadratic Surfaces
12.7 Will be done in tandem with Volume integrals in Chapte 15  Cylindrical Spherical coordinates
     
13.1  1,2,7,10,12b,12c,17,19,25,33(use "s" for r_2(t)),39  Vector Valued Functions
13.2  3,5,7,9,13,17,20,23,29,31,39,47(integrate),51(integrate twice),57  Calculus of Vector Valued Functions
13.3  1,3,5,9,11,15,25,31  Arclength and Speed
13.4  1,5,7,11,13,37,39,41,43,53 Curvature
13.5  3,5,11,15,33,35,37,41 Motion in Space
     Midterm 1
     
14.1  1,5,7,29,31,33,39a, 39b  Functions of several variables
14.2  7,8,9,13,15,17,18 (polar in chapter 11),29,34  Limits and Continuity
14.3  3,5,7,13,15,17,19,23,25,29,42,43,57,61,67,76  Partial Derivatives
14.4  1,5,11,13,19,21,23,25  Tangent Planes
14.5  5,7,9,11,15,17,19,21,23,25,29,31,37,39,41,44,45,61(hard)  Gradient and Directional Derivatives
14.6  1,3,7,11,13,19,27,29  Chain Rule
14.7  1,3,7,9,11,13,16,19,35,37 (on boundary),47,48  Optimization in Several variables
14.8  1,2,5,7,8,11,17,19,21,23  Lagrange Multipliers
   Chapter 14 Supplementary problems  
     
15.1    Double Integrals: Rectangles
15.2    Double Integrals: General Cartesian
15.3    Triple Integrals: Cartesian
15.4    Integrals: Polar, Cylindrical, Spherical coordinates
15.5    Integrals: Applications---------------------cancel/omit
15.6    Integrals: Change of Coordinates 2D
     
16.1    Vector-Fields
16.2    Line Integrals
16.3    Conservative Vector Fields
16.4    Parametrized Surfaces and Surface Integrals
16.5    Flux integrals
     
17.1   Green's Theorem
17.2   Stokes Theorem
17.3   Divergence Theorem
     
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 Exam and Quiz Outlines

          Content Description
         Quiz 1     Friday Sep. 8   12.1-12.3 and handout (25 min - no electronic devices)                                                                                                                 
    2 Friday Sep 22    12.4,12.5,13.1,13.2 (25 min - no electronic devices)  
                     3 Friday Oct 13   14.1-14.4 (25 min - no electronic devices) 
    4 Friday Oct 27   TBA
    5 Friday Nov 17   TBA
    6 Friday Dec 1   TBA
           
  Midterm 1 Friday Sep 29  

 12.1-12.5, 13.2-13.5       Review Sheet

 (50min, No electronic devices or notes/formula sheet) 

 There will be one question on normal and tangential
 accelerations and one question on arclength. 
 There will be no questions involving curvature.
           
           
  Midterm  2 Friday Nov 3   TBA
           
           
  Final   Tues. Dec 12   TBA
      4:00-5:50pm