Instructor: Albert Chau
Email: math200chau@gmail.com
Office Hours (FOR FINAL EXAM PERIOD): Thurs Dec 6, 2:00pm-3:00pm, Mon Dec 10, 2:00pm-3:30pm MATH 239
Lecture Notes (1)
Lecture Notes (2)
Lecture Notes (3)
Lecture Notes (4)
Lecture Notes (5)
Lecture Notes (6)
Lecture Notes (7)
Lecture Notes (8)
Lecture Notes (9)
Lecture Notes (10)
Lecture Notes (11)
Lecture Notes (12)
Lecture Notes (13)
Lecture Notes (14)
Lecture Notes (15)
Lecture Notes (16)
Lecture Notes (17)
Lecture Notes (18,19)
Lecture Notes 20
Lecture Notes 21-22
Lecture Notes 23
Lecture Notes 24-25
TEST#1 (Thurs, Sept 20 in class (about 20 minutes in duration));
MATERIAL: All the material up to the end of Lecture 3 and the very beginning of Lecture 4 (symmetric equations of a line). See also relevant sections in Chapter 10 from reference #1, and Chapter 1 of CLP III).
In particular: Know the distance formula between points; Understand the technique of sketching a surface by identifying its ``traces" with constant coordinate planes; Know the basics of vector arithmetic; Know the dot product, corresponding angle formula, and projection of vectors; Know the cross product, its geomeric meaning, corresponding formula for area of parallelograms and volume of parallelopipeds; Know the parametric equations of a line in space.
Review in class examples, reviewing the webwork problems, and trying suggested problems on common site from relevant sections.
NOTE: You must at least know how to sketch the following in the xy plane: parabolas, ellipses, hyperbolas, and graphs of sin, cos, exponential and logarithm. Do not bother memorizing the names or shapes of any special family of surfaces like ``quadric surfaces".
TEST1
TEST1 SOLUTIONS
TEST#2 (Thurs, Oct 11 in class (about 20 minutes in duration));
MATERIAL: Partial derivatives (know how to calculate them, and what they represent in terms of rates of change), the differential of a function and its use, linear approximations, tangent planes, chain rule. Your test will be based very closely on the following 8 past final exam problems: 2016 #3 a); 2015 #2 ii; 2011WT2 #2a; 2011WT2 #2b; 2011WT1 #1b, c; 2013WT2 #2a; 2013WT1 #1c; 2013WT1 #1d
REVIEW: I will do some review on Tuesday Oct 9 in class).
TEST2
TEST2 SOLUTIONS
TEST#3 (Thurs, Oct 25 in class (about 20 minutes in duration));
MATERIAL: Up to and including Lecture 13 material. Specifically: directional derivatives, the gradient vector, relative max/min (classifying critical points & 2nd derivative test). Your test will be based very closely on the following 8 past final exam problems: 2016 2(i,iv), 3(b); 2015 #1(c); 2015 #2(i,iii); 2014 #1, 4; 2013WT2 #2(b,c); 2015 #4.
There are other past final problems similar to these ones as well (see common site).
REVIEW: I may discuss a bit more on test material on Tuesday Oct 23 in class).
TEST3
TEST3 SOLUTIONS (correction: last term in 1a) solution should be 4(z-1) instead)
TEST#4 (Thurs, Nov 15 in class (about 20 minutes in duration));
MATERIAL: Everthing we covered on Double integrals. In addition to calculating double integrals, you should also know the concept of Riemann sums, and using these to approximate double intgrals. You do not need to memorize any formulas involved in the ``applications of double integrals". Your test will be largely based on the following past final exam problems: 2015 #6;
2014 #6 a); 2013WT2 #5, 6a; 2013WT1 #5, 6; 2012WT1 #7,8
TEST4
TEST4 SOLUTIONS (correction: integral on 2nd & 3rd lines should be mulitplied 1/2)