Math 104, Section 001

Here is the general Math 104 page, covering general information for all sections. In particular, you can find the common syllabus. My recitation leaders are Mohamad Hindawi and Jennifer Strong.

Grade information

Each test (homework, quiz, midterm) yields a raw score. The curved score is (raw - average)/(standard deviation), i.e. a number where 0=average.

The total score is then 10%*(hw&quizzes) + 50%*(midterms) + 40%*(final).

Homework 1 Homework 3 Homework 5 Homework 7 Homework 9 Homework 11
Mean 17.09659 13.94318 14.96591 19.52841 15.02273 12.82386
StdDev 2.326834 3.073605 3.520661 4.939179 4.313533 5.960098
Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5
Mean 7.210227 7.897727 7.261364 5.670455 5.795455
StdDev 2.577479 2.521178 1.96875 2.253357 2.152893
Midterm 1 Midterm 2 Midterm 3
Mean 80.1931818 59.68181818 57.0977011
StdDev 11.8303202 15.73553719 17.2829964
Final
Mean 54.047619
StdDev 15.924036

You can view and verify your current grade book entries on the Blackboard.

Solutions to the midterms

Here are the 3 midterms with solutions:

Homework

You have one week for each homework, so there is one recitation where you may ask any questions you might have. The homework is subsequently collected during my Friday lecture (If you cannot come you may turn in your homework earlier). This leads to the following schedule:

Number Due Date Assignment
1 19. September 2003
Ch. 5.1 Ex. 31, 52
Ch. 5.2 Ex. 5, 6, 10, 12, 14
Ch. 5.3 Ex. 10, 26, 37, 45, 47a
Ch. 5.4 Ex. 1, 4, 15, 24, 26, 35, 37
Ch. 5.5 Ex. 21, 22, 23
2 26. September 2003
Ch. 5.6 Ex. 9, 12, 16, 28, 31, 32, 35
Ch. 5.7 Ex. 3, 8, 26, 29, 32, 36
Ch. 6.1 Ex. 1-6, 16, 24, 30, 32, 39, 49, 51
3 3. October 2003
Ch. 6.2 Ex. 1, 4, 8, 15, 35, 37, 50, 58, 63, 77b, 87
Ch. 6.3 Ex. 3, 9, 12, 19, 21, 22, 36, 42, 53, 65, 73, 77
4 10. October 2003
Ch. 6.4 Ex. 1, 5, 10, 15, 16, 28, 40, 41, 51, 79, 82
Ch. 6.5 Ex. 2, 6, 7, 12, 14, 21, 27
5 17. October 2003
Ch. 6.6 Ex. 4, 6, 17, 20, 25, 32, 38, 41, 51, 60, 66
Ch. 6.7 Ex. 1, 2, 6, 7, 8, 10
Ch. 6.8 Ex. 4, 6, 7, 10, 22, 27, 33, 56
6 24. October 2003
Ch. 6.9 Ex. 3, 8, 22, 40, 45, 51, 62, 66, 75, 79, 82, 86, 89, 95 (use Maple for Ex. 95)
Ch. 6.11 Ex. 3, 9, 13, 15, 18, 19, 21, 22
7 31. October 2003
Ch. 6.12 Ex. 3, 11-14, 19 (use Maple to plot slope field, print and sketch solution by hand), 21, 25
Ch. 7.1 Ex. 2, 8, 10, 12, 30, 33, 34, 38, 42, 45, 48, 54, 59, 67
Ch. 7.2 Ex. 3, 14
Ch. 7.3 Ex. 3, 5, 8
8 7. November 2003
Ch. 7.4 Ex. 1, 4, 11, 16, 21, 23, 29, 36, 42
Ch. 7.2 Ex. 25, 30, 33, 43
Ch. 7.3 Ex. 12, 15, 25, 30, 35, 52
Ch. 7.6 Ex. 13, 21, 40, 42, 56, 83
9 14. November 2003
Ch. 8.1 Ex. 2, 16, 35, 36, 52, 66
Ch. 8.2 Ex. 2, 4, 14, 20, 34, 77
Ch. 8.3 Ex. 1, 11, 14, 23, 24, 40, 56, 71
10 21. November 2003
Ch. 8.4 Ex. 2, 7, 8, 9, 10, 28, 31, 42
Ch. 8.5 Ex. 2, 7, 8, 9, 16, 18, 25, 40, 41
Ch. 8.6 Ex. 4, 5, 6, 16, 18, 28, 41, 44
11 26. November
Ch. 8.7 Ex. 3, 8, 13, 16, 19, 25, 34, 39, 61, 62
Ch. 8.8 Ex. 4, 9, 13, 15, 33, 36, 45, 46
Ch. 8.8 Ex. 41, 42
Ch. 8.9 Ex. 1, 2, 5, 7, 13, 18, 20, 21, 33
12
Ch. 8.11 Ex. 2, 4, 8, 10, 11, 47, 48, 54, 55
Ch. 8.11 Ex. 17, 25

Calendar

September 2003
Sun Mon Tue Wed Thu Fri Sat
  1
Labour Day
 2
 3
Chapter 5.1
 4
 5
Diagnostic Test
 6
7
 8
Chapter 5.2 & 5.3
 9
 10
Chapter 5.4
 11
 12
Chapter 5.5
 13
14
 15
Chapter 5.6
 16
 17
Chapter 5.7
 18
 19
Chapter 6.1
 20
21
 22
Chapter 6.2
 23
 24
Chapter 6.3
 25
 26
Review
 27
28
 29
1stMidterm
 30
        

October 2003
Sun Mon Tue Wed Thu Fri Sat
      1
Chapter 6.4
 2
 3
Chapter 6.5
 4
5
 6
Chapter 6.6
 7
 8
Chapter 6.7
 9
 10
Chapter 6.8
Last day to change
 11
12
 13
Fall break
 14
 15
Chapter 6.9
 16
 17
Chapter 6.11
 18
19
 20
Chapter 6.12
 21
 22
Chapter 7.1 & 7.2
 23
 24
Chapter 7.3
 25
26
 27
Chapter 7.4
 28
 29
Chapter 7.6
 30
 31
Chapter 7.6 & Review
 

November 2003
Sun Mon Tue Wed Thu Fri Sat
            1
2
 3
Chapter 8.1
 4
 5
Chapter 8.2 & 8.3
 6
 7
2ndMidterm
 8
9
 10
Chapter 8.4
 11
 12
Chapter 8.5
 13
 14
Chapter 8.6
 15
16
 17
Chapter 8.7
 18
 19
Chapter 8.8
 20
 21
Chapter 8.9
 22
23
 24
Chapter 8.9 & 8.11
 25
 26
Chapter 8.11
 27
 28
Thanksgiving
 29
30
            

December 2003
Sun Mon Tue Wed Thu Fri Sat
  1
Review
 2
 3
Chapter 8.10
 4
 5
3rdMidterm
 6
7
 8
Midterm Review
 9
 10
Reading day
 11
 12
 13
14
 15
 16
 17
 18
Final
 19
 20
21
 22
 23
 24
X-mas
 25
 26
 27
28
 29
 30
 31
      

Top Home

Maple

Remember the surface of revolution created by spinning the asteroid x2/3+y2/3=1 around the x-axis? Here are the Maple commands I used: 

> with(plots);
> implicitplot( (x^2)^(1/3) + (y^2)^(1/3)=1, x=-1..1, y=-1..1, grid=[100,100] );
> s:=[ solve( (x^2)^(1/3) + (y^2)^(1/3)=1, y) ];
> eq:= s[1];
> plot(eq, x=-1..1);
> plot3d( eq, phi=0..2*Pi, x=-1..1, coords=cylindrical);
> int( 2*Pi*eq* sqrt( 1+(diff(eq,x))^2 ), x=-1..1 );
> evalf( % );

Solving a differential equation with initial conditions: 

> dsolve( { diff(y(x),x)=(1+y(x)^2)*exp(x), y(0)=0});
> plot(tan(exp(x)-1), x=-10..5, -3..5 , discont=true);

Drawing a slope field: 

> with(plots); with(DEtools);
> slope:= 
>   DEplot( x*diff(y(x),x) = x^2+3*y(x),
            y(x), x=-3..3, y=-3..3, arrows=line);
> solution:=plot( 3*x^3-x^2, x=-0.3..0.5, -0.05..0.05 );
> display( [slope, solution] );

Solving a differential equation numerically using Euler's method: 

> solution:=
> dsolve( { diff(y(x),x)=1+y(x), y(0)=1}, 
>         numeric, method=classical[foreuler], stepsize=0.1 );
> for i from 0 to 1 by 0.1 do 
>   solution(i);
> od;
> # This is one way to plot the solution:
> plot( [
>   'op([2,2],solution(t))',
>   2*exp(t)-1
> ], t=-5..5);
> # This is another way to plot:
> exactplot:= plot( 2*exp(x)-1, x=-5..5):
> eulermethod:=
>   DEplot( diff(y(x),x)=1+y(x), y(x), 
>           x=-5..5, [[y(0)=1]], arrows=none, 
>           method=classical[foreuler], stepsize=0.1):
> display([exactplot, eulermethod]);

The solution to chapter 6.12, exercise 21 is here (You may have to save the file to disk and then open with Maple).