Jeffrey S. Case
Assistant Professor
The Pennsylvania State University, Department of Mathematics

Contents: Fall 2014
MAT 201, Multivariable Calculus,
Section 1: MWF 10-10:50am, Lewis Library 121
Section 2: MWF 11-11:50am, Lewis Library 121

Office: 1004 Fine Hall
Office Hours: MW 1:30-3pm, or by appointment

For further information, please visit Blackboard.

Homework Assignments

Homework 1: Due Sept 24
12.6 Quadric surfaces (1--12)
12.1 Cartesian coordinates (6,10,18,26,44,58)
12.2 Vectors (24,30,36)
12.3 Dot products (4,6,12)
12.4 Cross products (8,20,38)
Homework 2: Due Oct 1
12.5 Lines and planes (6,26,28,34,48,58)
13.1--2 Vector functions 13.1 (14,20) 13.2 (6,12,18)
13.3 Arc length (8,10,16,18,20)
14.1 Several variables (6,8,10,31--36,50,62)
Homework 3: Due Oct 8
14.2 Limits and continuity (8,14,26,42,62)
14.3 Partial derivatives (6,14,18,30,44,66)
14.4 The chain rule (2,6,14,20,30,36)
Homework 4: Due Oct 15
14.5 Directional derivatives (8,10,12,22)
14.6 Tangent planes and differentials (4,6,10,14,24,30)
14.7 Extreme values (4,8,16,24,34,40)
Homework 5: Due Oct 22
14.8 Lagrange multipliers (2,10,16,22,28,40)
14.9 Taylor's formula (4,8 quadratic only,12)
Week 6
MIDTERM
Homework 6: Due Nov 12
15.1--2 Double integrals 15.2 (10,12,20,22,36,40,60,68)
15.3 Areas (6,8,18)
15.4 Polar forms (10,16,18,30,34)
Homework 7: Due Nov 19
15.5 Triple integrals (8,10,20,22,24,34,42)
15.6 Masses and moments (4,6,8,16,24)
15.7 Triple integrals II.(6,10,16,18,24,30,34,52)

Homework 8: Due Dec 3
15.8 Substitution (2,6,12,18,26)
16.1 Line integrals (10,16,30,36)

16.2 Vector fields (4,8,20,30,40,42)
16.3 Path independence (2,6,8,12,16,20,26)

Homework 9: Due Dec 10
16.4 Green's theorem (6,14,20,22,24,30)

16.5 Surface Integrals I.(4,8,20,24,38,48)
16.6 Surface Integrals II. (6,10,14,20,24,30,32,38)

Homework 10: Due Jan 7
16.7 Stokes' theorem (2,6,8,14,18)
16.8 Divergence theorem (6,8,14,24)

 


Previous Courses:
Junior Seminar, Spring 2014
MAT 175, Fall 2013
MAT 104, Spring 2012