Calculus A
92.125 Fall _Of_2005
 Class Connections
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Class Schedule
(92:231(204+205) OS404.Instructor  Rida Mirie
  Office: Olney 428D. Phone (978)934-2433.
Office hours 10:30-11:15 M,W,TR,F, and   (W) 6-7 and by appointment.
ATLEAST 3 EXAMS . 2kinds of hw(20%).  Final(20%).
1 calculator+ 1 sheet allowed in exams and final.
No CAMERAS or fones usage in class. Coverage rate will Vary.
Helpful lecture notes are on 
http://faculty.uml.edu/rbrent/131/Lectures.htm
and  JIT book by Meuller and Brent.

 

Topics[Setwarts 3rd Edition]

The Aim is to cover from chapter 1.2  to   chapter 4.5.

Section

Assignments

Chapter
 preview


Functions and Models
 [4ways to represent a function]
Functions , tables,rules, graphs.
domain, range, sketch,vertical line test,
piece-wise functions, symmetry(odd and even),
increasing and decreasing
 1.1
[pp.10-25]
 1,5,7,23,25,27,29,31,33-43,45,47,49,51-53
65-69

Mathematical Models
Linear, Polynomials.
 power,reciprocal, trigonometric,
exponential, logarithmic , transcendentalfunctions.
 1.2 [25-38]
 1,2,3,4,5,7,9,13,,19,20.

Transformations of functions
Vertical and horizontal (Shifts,
stretching and reflections}.
Combinations ALgebra of functions
Graphical addition.
Composition of functions.
 1.3
[38-48]

 1,3,5-7,9-24,31,33,35-39,43,57
Test 1A




Graphing Calculators and Computers
 1.4
[48-55]
 1,3-15

Exponential functions
 1.5
[55-63]
 1,3,5,7,9,11,13

Inverse Functions and Logarithms
 1.6
[63-73]
 1,3-14,17,21-26,59

Parametric Curves
 1.7
[74-82]
 1,2,3,4,5,9,13,15,17,21-23
Test1B


The Tangent and Velocity Problems
 Tangent, Velocity
2.1
[93-98]

 1,3,5,7

The  Limit of a function
 2.2
[98,107]
 1,3,5,9-12,17-20

Calculating limits using Limit laws
 2.3
[108 -116]
 1,3-22
 

Continuity, intermediate value problem
 2.4
[117-127]
 1,3,5,7,9,13,15,17,25,37-40

Tangents velocities rates
 2.6
[139-147]
 1-9odd 15-19odd

Derivatives
 2.7
[148-154]
 1-10odd 19-24odd
Differentiations rules
 derivatives of Polynomials and exponential functions
 3.1
[190-192]
 1,3-24odd

The product and quotient rules
 3.2
[198-200]
 1-23odd

Exam #2A


Derivatives of trigonometric functions
 3.4
[218-220] 		1-19odd


The chain rule
 3.5
[228-231]
 1-36odd


Implicit differentiation
 3.6
[338-340]
 1-19odd

Derivative of logarithmic functions
 3.7
[245-246]
 1-18odd

Linear approximation of differentials
 3.8
[252-253]
 1,5,7,15,17,25
Applications of differentiation
 Maximum and minimum values
 4.2
[274-277]
 15-31odd 37-48odd

Derivatives and the shape of the curve
  4.3
[286-289]
 1,3,5,7,9,19-28odd 29-36odd

Indeterminate Forms and L'Hospital's Rule
  4.5
[303-305]
 1-34odd










































 
  

































 

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