Math 211. Honors Multivariable Calculus - Spring 20 - Hans Lindblad

The lectures are MW 1.30-2.45 in Krieger Laverty. The sections are F 1.30-2.20 in Hodson 216.
The required text is Colley, 'Vector calculus', 4th ed.
Two nice books from a Physics perspective are Schey 'Div, Grad, Curl and all that' and Matthews 'Vector Calculus'.
A book with lots of problems is 'Schaum's outline series in Vector Analysis'. A previous version of the course; S2019
Professor: Hans Lindblad, lindblad@math.jhu.edu, office hour W 4.30-5.30 in Krieger 406
TA: Jeffrey Marino, jmarino9@jhu.edu, office hour: Th 2-3 in Krieger 200, helproom: Th 3-5 in Krieger 213
Preliminary Schedule with Lecture Notes:
wk  date  Monday  Wednesday
  1  1/27  1.1-4 Vector operations  1.5-6 Matrix multiplication
  2  2/3  1.7 spherical 2.1 graphing, 2 limit  2.2,2.3 Derivatives
  3  2/10  2.3-4 Derivatives  2.5 chain rule 2.6 gradient
  4  2/17  2.6 Implicit 3.1 path 3.2 arclength 3.3 vector fields  3.4 div, curl
  5  2/24  4.1 Taylor's theorem  4.2 Max-min
  6  3/2  4.3 Lagrange Multipliers  Midterm 1 Practice midterm 1
  7  3/9  5.1-2 Double Integrals  5.3 Change order of integration, 5.4 Triple Integrals
  8  3/16  Vacation  Vacation
  9  3/23  5.5 Change of variables  5.5... 6.1 Path,line integrals, 6.3 Conservative fields
10  3/30  6.2 Green's theorem, 6.3 Conservative fields  7.1 Parametrized surfaces
11  4/6  7.2 Surface Intergrals  7.2, 7.3 Gauss's theorem
12  4/13  7.3 Stokes's theorem  Midterm 2 Practice midterm 2
13  4/20 8.5 in Marsden-Tromba Euler's eq   7.4 Maxwell's eq  
14  4/27 8.6 in MT Differential Forms   8.1-8.3 Diff Forms, General Stoke's  

wk  section  Homework (preliminary)
  1  1/31  1.2:12,16, 1.3:16,25, 1.4:4,17,18,20, 1.5:2,20,34,39, 1.6:10,18,30-32,
  2  2/7  1.7:24,32, 2.1:4,18,42,44, 2.2:6,18,46,53, 2.3:14,20,
  3  2/14  2.3:32,38,44,59 2.4:2,22, 2.5:2,8,22,30,32,36,
  4  2/21  2.6:8,12,20,26,41, 3.1:8, 3.2:10,16, 3.3:1,18,20,24,26
  5  2/28  3.3:2,22,28,31, 3.4:12,13,14,15,30,31, 4.1:10,16,36,
  6  3/6  4.2:2,18,20,28,36, 4.3:2,12,26,38,
  7  3/13  5.1:2,8, 5.2: 5, 13, 12, 16, 5.3: 4, 16, 18
  8  3/20  No Section
  9  3/27  5.2:28, 5.3:14, 5.4: 8,12,18, 5.5:,2,6,8,16,34,38
10  4/3  6.1: 4,14,34, 6.3: 2,4,
11  4/10  6.2: 10,12,16,18, 6.3: 18,34 7.1:2,8,24,26,28,32, 7.2:4,12,30,
12  4/17  7.1:4,6,8,10,18,28, 7.2:2,16,22, 7.3:6,18,20,27,34,
13  4/24  7.3:2,4,10,12,31, 7.4:5,6,11,14,20
14  5/1  8.1:4,14, 8.2:6,10,12, 8.3:2,4,6,8,10
Final exam Friday May 8, 2-5pm. Practice for the final are the midterms, practice midterms and:
7.3:12,13,14,16, 7.4:13,15, 8.1:6,8, 8.2:8,9,12, 8.3:4,6,10.
Grades will be based on the larger of I) 20% homeworks, 20% each midterm, 40% final, or
II) 20% homework, 20% best midterm, 60% final. Homework score will be based on the best 11-12 homeworks.