SYLLABUS FOR CALCULUS I, Math V1101Y, Summer 2008:

Textbook: Essential Calculus: Early Transcendentals, Thompson, Brooks Cole, by James Stewart

Homework: The starred problems are to be handed in on the date indicated. All other problems are suggested practice problems, not to be handed in. 

The exact topic taught in each class may vary slightly.

There will be a 10 minute quiz during the last class of each week.

Final Exam Announcement: You can find some sample exams here: Sample 1, Sampe 2, Sample 3 




  
    

      Date
      Topics
      Sections
      Suggested Problems
    

    

      

5/30

      		
      Functions 

      

(PreCalculus),

Limits, Continuity		
      1.1, 

1.2,

1.3, 

1.4

      		
      
      
1.1: 1,3-5,7,21,25,30*
1.2: 1,4, 6, 7, 9*,13*, 23
1.3: 1,2,4*,11
1.4: 1,3,4, 11, 12

      		
    

    

      

6/2

      		
      Limits at Infinity,

      

Derivatives I (definition)

      		
      1.5, 

1.6,

2.1, 

2.2

      		
      
      
1.5: 3,9,13,14*, 16*,23,26*, 27, 28
1.6: 13*,14,15*, 16, 19, 20, 24*
2.1: 3*,4,5*,6,11,13
2.2: 1, 7, 8*, 20, 21, 22*, 25, 27, 32*

      		
    

    

      

6/5

      		
      

Derivatives II (rules)		
      2.3, 

2.4, 

2.5		
      
      
2.3: 1,2,5,6,7,8,9,10,15,16*,17,18*,21*,22,27*,28,48*,52*
2.4: 3,4*,5,6,7,8,11*,12,17*,18,19,20,27,28,39*,41*
2.5: 1,2,3,4,5,6,7,8,11,12,18*, 21*,24*,25*,26,42*, 62*
 

      		
    

    

      6/9
      Implicit Differentiation,

Exponential Functions

      		
      2.6,

3.1

      		
      
      

2.6: 1,2,3,4,5*,6*,7,8,13,14,16*,17,18,23*,24
2.7: 3, 5, 7, 13, 18, 19, 23, 27, 32*, 34*, 36*
3.1: 15*, 23,24,25*,26*

      		
    

    

      6/9

      		
      Inverse Functions and Logarithms

Derivatives of Log and Exp

      		
      3.2, 

3.3

      		
      
      
3.2: 3, 5, 9, 11, 15, 25, 29, 35*,36*,37,38,39*,40,47*,48*,49,50,51*,52
3.3: 1*,2,3*,4,5,6,7,8,9,10,11,12,13*,14*,15,16

      		
    

    

      6/9

      		
      Exponential Growth and Decay
      3.4

      		
      3.4: 1*, 2*, 3*, 4, 5*, 8,11*,13*

      		
    

    

      6/12

      		
      Midterm I (in class)
    

    

      

6/12

      		
      Inverse Trig Functions,

Hyperbolic Functions		
      

3.5,

3.6		
      
      
3.5: 1,2,3*,4,5,6,8,9,16*,17
3.6: 1,2,3,4*,9,10*,26*,27,28,29,54*

      		
    

    

      

6/19

      		
      L'Hospital's Rule,

Maximum-Minimum Value		
      3.9,

4.1

      		
      3.9:
1, 2, 3*, 4, 5, 6, 7*, 8*, 9, 10, 11, 12, 13*, 14*, 15, 16*, 35*,

4.1: 1, 2, 3, 15, 16, 23*, 24*, 25, 26, 27*, 31, 32*, 37*, 47*, 49

      		
    

    

      6/19

      

      		
      Shapes of Graphs,

Curve Sketching		
      4.3,

4.4		
      
      
4.3: 1,2,3*,4*,9*,10,12*,13
4.4: 1*,2,3,4,11,12,17*,18*,25,26

      		
    

    

    

    

      6/23
      Optimization,

Newton's Method		
      4.5,

4.6		
      4.5:
3*, 6*, 8, 9*, 10, 11, 13*, 15, 16, 21, 22*, 23, 24, 33, 34*

4.6: 5*,6*,7,8,9*,10		
    

    

      6/26
      Antiderivatives
      4.7

      		
      4.7:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 26, 27

      		
    

    

      6/26
      Areas and Distances,

Definite Integral		
      5.1,

5.2

      		
      5.1: 1*, 3*, 4, 6, 17

5.2: 11, 12 ,25

      		
    

    

      6/26

      		
      Fundamental Theorem of Calculus
      5.3, 

5.4		
      
      
5.3: 1,2,3,4,5,6,7,8,9*,10*,17*,18,27*,37
5.4: 5,6,7*,8*,14*

      		
    

    

      
      
6/30

      		
      Substitution Rule, 

Areas between Curves

      		
      5.5,

7.1

      		
      
      
5.5: 1, 2*,3*,4,6,7*,8*,9*,10*,11*,22*,23*,24*, 25 
7.1: 1,2,3*,4,8,9,10,11*,12*,13,14,15*

      		
    

    

      
      
TBA

      

      		
      Volumes,

Volumes by Cylindrical Shells

      		
      7.2,

7.3

      		
      
      
7.2: 1,2*,3*,4,5,6,13*,15*,16
7.3: 1*,2*,3,4,5*,6*,7,9*,10,11

      		
    

    

      7/3

      		
      Final Exam