Math
131 Main Page/Syllabus

      		
      Math
131 Exams
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131 Grades
    

  





MAT 131: Calculus I - Spring 2005

SCHEDULE




Be aware that some
important
dates appear on the university's Spring
2005 academic calendar.


 


This schedule was last
modified
on January 24, 2005. Please check regularly for updates.




Homework will be collected and
turned
back to you by your TA each week in the recitation sections.







  
    

      Week of
      Sections covered
      Homework exercises
    

    

      Jan 24-28

      		
       Introduction

Appendix A: Intervals, inequalities and absolute values

Appendix B: Coordinate geometry

Sec. 1.1: Four ways to represent a function

Sec. 1.2: Mathematical models 		
      App A: 2,14,17,33,36,40

App B: 4,12,14,16,20,26,41

1.1: 2,5-8,14,19,24,34,42,54

1.2: 2,3,4,10 		
    

    

       Jan 31- Feb 4

      		
       Appendix C: Trigonometry

Sec. 1.3: New functions from old functions

Sec. 1.5: Exponential functions

Sec. 1.6: Inverse functions and logarithms 		
      App C: 1,3,9,15,29,37 

1.3: 3,4,10,14,15,29,36,42,49,52

1.5: 7,8,13,15,18 

1.6: 7,8,10,17,20,24,36,47,54,57 		
    

    

      Feb 7 - Feb 11 

      		
       Sec. 2.1: The tangent and
velocity
problems

Sec. 2.2: The limit of a function 		
      2.1: 1,2,3,4,5,6,8

2.2: 1,2,3,4,5,6,9,10 		
    

    

      Feb 14 - Feb 18

      		
       Sec. 2.3: Calculating limits
using
the limit laws

Sec. 2.4: Continuity

Sec. 2.5: Limits involving infinity 		
      2.3:
1,2,4,8,10,11,12,14,18,25,26,29,30,33,38,43

2.4: 3,4,6,13,16,29,36,45

2.5: 2,3,5,6,7,10ab,13,14,16,20,23,25,28,29,35,39,42 		
    

    

      First midterm: Tuesday, February 22 8:30 p.m.

      		
    

    

      Feb 21 - Feb 25

      		
       Sec. 2.6: Tangents,
velocities,
and other rates of change

Sec. 2.7: Derivatives

Sec. 2.8: The derivative as a function 		
      2.6:
1,2,8,10,13,14,16,18,20,23,24

2.7: 1,2,4,6,14,15,18,19,20,23,28,29,31,35

2.8: 2,4,8,11,12,15,16,20,23,31,32,35,36,48 		
    

    

      Feb 28 - Mar 4

      		
       Sec. 2.9: Linear
approximations

Sec. 2.10: What does f' say about f?

      		
      2.9: 5ab,6ab,14

2.10: 2,5,7,11,12,19,24,25,26

Chapter 2 concept check (pg 181): 1,2,3,4,5,6,8,12,15,16

Chapter 2 true false (pg 181): 1,5,6,7,8,9,10,11,12,13,14,15,16,17,18

Focus on problem solving (pg 185): #8, 11 		
    

    

      Mar 7 - Mar 11

      		
       Sec. 3.1: Derivatives of
polynomials
and exponentials

Sec. 3.2: The product and quotient rules 		
      3.1:
2,4,6,9,12,17,20,38,45,46,53,54,56,57

3.2: 2,4,6,12,19,20,27,31,32,35,36,38 		
    

    

      Mar 14 - Mar 18

      		
       Sec. 3.4: Derivatives of
trigonometric
functions

Sec. 3.5: The chain rule 		
      3.4:
1,2,3,7,8,17,18,26,27,33,34,35,38,39

3.5: 1,4,8,10,12,16,20,24,26,28,38,50,51 		
    

    

      Spring
Break:
Mar 21 - Mar 25
    

    

      Second Midterm: Monday, March 28, 8:30 p.m.

      		
    

    

      Mar 28 - Apr 1
       Sec. 3.6: Implicit
differentiation

Sec. 3.7: Derivatives of logarithmic functions

Sec. 3.8: Linear approximation and differentials 		
      3.6: 2,4,10,14,16,38,49,50,51

3.7: 2,4,6,8,18,23,28,31,32

3.8: 2,3,12,16,19,20 		
    

    

      Apr 4 - Apr 8

      		
       Sec. 4.1: Related rates

      		
      Chapter 3 true false (pg 258):
1,2,4,5,6,7,11

Focus on problem solving (pg 261): 1,4

4.1: 1,2,3,4,6,7,14,16,21,25,26,29 		
    

    

      Apr 11 - Apr 15

      		
       Sec. 4.2: Maximum and minimum
values

Sec. 4.3: Derivatives and the shapes of curves 		
      4.2:
4,6,8,22,24,28,33,35,36,40,44,52

4.3: 2,6,8,11,16,18,26,38,42,45,46 		
    

    

      Apr 18 - Apr 22

      		
       Sec. 4.5: Indeterminate forms
and L'Hospital's rule

Sec. 4.6: Optimization problems

Sec 4.8: Newton's Method 		
      4.5: 1,2,4,6,10,12,22,30,32,34

4.6: 2,6,11,21,28,33,42

4.8: 1,2,3,4,5,6,7,9,21,23,26 		
    

    

      Apr 25 - Apr 29

      		
       Sec. 4.9: Antiderivatives

Sec. 5.1: Areas and distances 		
      Chapter 4 concept check (pg
336):
1,2,3,4,9

Chapter 4 true false (pg 336): 1,2,3,5,7,8

4.9: 4,8,20,24,36,38

5.1: 1,2,4,16,17,18 		
    

    

      May 2 - May 6

      		
       Sec. 5.2: The definite
integral

Sec. 5.3: Evaluating definite integrals

      		
      5.2:
1,2,4,5,6,7,21,29,30,32,36,40,46

5.3: 1,4,8,13,14,18,23,29,30,49,52,58 		
    

    

      May 9

      		
       Sec. 5.4: The Fundamental
Theorem
of Calculus

Sec 5.5: The Substitution Rule 		
      5.4: 2,4,6,8,10,12,20,

5.5: 1,2,3,4,10,11,12,13,14,27,28,37,38,50,51,55,56,57,58,62 		
    

    

      Final exam: Monday, May 16, 11:00 a.m. - 1:30 p.m.

      		
    

  




































Created by Sebastian Casalaina-Martin, casa@math.sunysb.edu