## Syllabus

Week 1
Mon 24 Mar 15.1, 15.2: Introduction to integration, iterated integrals   Worksheet 1
Solutions
Weds 26 Mar 15.2, 15.3: Fubini's Theorem, integration over non-rectangular regions   Worksheet 2
Solutions
Fri 28 Mar 15.4: Integration in polar coordinates    Worksheet 3
Solutions
Week 2
Mon 31 Mar
15.4, 15.5:Integration in polar coordinates, applications of double integrals
(no probability or expected values)
Worksheet 4
Solutions
Weds 2 Apr
15.7, 15.8: Triple integration, cylindrical coordinates    Worksheet 5
Solutions
Fri 4 Apr
15.8, 15.9: Spherical coordinates   Worksheet 6
Solutions
Week 3
Mon 7 Apr
Ch 12: Vectors, dot product, cross product, determinants, planes   Worksheet 7
Solutions
Weds 9 Apr
15.10: Change of variables, the Jacobian   Worksheet 8
Solutions
Fri 11 Apr
15.10: Change of variables, the Jacobian (continued)
End of material covered by midterm 1

Practice exam 1   Solutions   Practice exam 2 with solutions
Practice exam 3 with solutions
Some problems on practice exams will not match our material.
Skip those that do not.

Week 4
Mon 14 Apr
Ch 12, 13: Projections, vector functions   Vector
Solutions
Dot product
Solutions
Cross product
Solutions
Lines & planes
Solutions
Vector functions
Solutions
Arc length
Solutions
Weds 16 Apr
Review for the midterm
Thurs 17 Apr
Midterm 1, 7-9pm   Exam 1 solutions
Fri 18 Apr
Ch 14: Partial and directional derivatives, gradients, tangent planes   Partial derivatives    Solutions
Tangent planes    Solutions
Week 5
Mon 21 Apr
16.2: Line integrals of scalar functions   Worksheet 9
Solutions
Weds 23 Apr
16.1, 16.2:Vector fields, line integrals of vector fields   Worksheet 10
Solutions
Fri 25 Apr
16.3: The Fundamental Theorem of Calculus for line integrals   Worksheet 11
Solutions
Week 6
Mon 28 Apr
16.3,16.4: The Fundamental Theorem of Calculus for line integrals (continued), Green's Theorem  Worksheet 12
Solutions
Weds 30 Apr
16.4: Green's Theorem (continued)  Worksheet 13
Solutions
Fri 2 May
16.5: Curl and Divergence   Worksheet 14
Solutions
Week 7
Mon 5 May
16.5: Curl and Divergence (continued),
Weds 7 May
16.6: Parametrizing surfaces, tangent planes
Fri 9 May
16.6, 15.6: Surface area
End of material covered by midterm 2

Suggested exercises    Practice exam 1   Solutions   Practice exam 2 with solutions
Practice exam 3 with solutions
Some problems on practice exams will not match our material.
Skip those that do not.

Week 8
Mon 12 May
16.7:Surface integrals of scalar functions   Worksheet 15
Solutions
Weds 14 May
Review for Midterm 2   Worksheet 16  solutions
Thurs 15 May
Midterm 2, 7-9pm
Fri 16 May
16.7: Surface integrals of vector fields   Worksheet 17
Solutions
Week 9
Mon 19 May
16.9: The Divergence Theorem   Worksheet 18
Solutions
Weds 21 May 16.9,16.8: The Divergence Theorem (continued), Stokes' Theorem   Worksheet 19
Solutions
Fri 23 May 16.8: Stokes' Theorem, continued
Week 10
Mon 26 May Memorial Day. No class
Weds 28 May   Review
Math 13 Topics   Suggested extra problems from all sections
Practice exam 1   Solutions   Practice exam 2 with solutions
Practice exam 3  Practice exam 4

Sat 31 May Final Exam, 11:30-2:30 pm, Location: Wilder 104