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Week
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Dates
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Sections and
Comments
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1
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Feb. 23-27
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P
Preliminaries
1.1
Examples of Velocity,
Growth Rate and Area
1.2
Limits of Functions
1.5a The Formal
Definition of Limit( up to Definition 11 )
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2
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March 1-5
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1.3
Limit at Infinity and
Infinite Limits
1.5b The Formal
Definition of Limit( from Definition on )
1.4
Continuity
2.1
Tangent Lines and Their
Slopes
2.2a The
Derivative (omit Differentials )
2.7
Using Derivatives (only
Average and Instantaneous Rates of Change)
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3
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March 8-12
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2.3
Differentiation Rules
2.4
Derivatives of
Trigonometric Functions
2.5
The Chain Rule
2.8
Higher Order Derivatives
2.9
Implicit Differentiation
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4
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March 15-19
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2.6
The Mean Value
Theorem
2.10
Antiderivatives and
Initial Value Problems
3.1
Inverse Functions
3.3
The Natural Logarithm
and Exponential
3.2
Exponential and Logarithmic Functions
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5
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March 22-26
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3.4a Growth and
Decay ( only Exponential Growth and Decay Models)
3.5
The Inverse
Trigonometric Functions
3.6
Hyperbolic Functions
4.1
Related Rates
4.2
Extreme Values
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6
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March29-April2
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4.3
Concavity and
Inflections
4.4
Sketching the Graph of a
Functions
4.5
Extreme-Value Problems
4.6
Finding Roots of
Equations
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7
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April 5-9
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4.7
Extreme-Value Problems
4.8
Finding Roots of
Equations
4.9
Linear Approximations
2.2b The
Derivative (only Differentials )
4.10
Indeterminate Forms
3.4b Growth and
Decay ( only Growth of Exponential and Logarithms and Theorem 6)
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First Midterm Exam 2.4.2004,
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8
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April 12-16
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5.1
Sums and Sigma Notation
5.2
Areas as Limits of Sums
5.3
The Definite Integral
5.4
Properties of Definite
Integral
5.5
The Fundamental Theorem
of Calculus
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9
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April 19-23
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(No classes on
Friday, April 23)
5.6
The Method of
Substitution
5.7
Areas as Plane Regions
6.1
Integration by Parts
6.2
Inverse Substitution
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10
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April 26-30
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6.3
Integrals of Rational
Functions
6.6
The Trapezoid and
Midpoint Rules (omit The Midpoint Rule and Proof of Theorem 4)
6.7
Simpson’s Rule
6.4
Improper Integrals (
include Limit Comparision Test and Absolute and Conditional Convergence )
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11
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May 3-7
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7.1
Volumes of Solids of
Revolution
7.2
Other Volumes by Slicing
7.3
Arc Length and Surface
Area
8.5
Polar Cordinates and
Polar Curves
8.6
Slopes, Areas and Arc
Lengths for Polar Curves ( omit Tangent Direction for Polar Curve )
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Second Midterm Exam, a day between 7 and 16 May
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12
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May 10-14
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9.1
Sequences and
Convergence
9.2
Infinite Series
9.3
Convergence Tests for
Positive Series
9.4
Absolute and Conditional
Convergence
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13
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May 17-21
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(No classes on
Wednesday, May 19)
9.5
Power Series ( omit
Proof of Theorem 19 )
9.6
Taylor and Maclaurin
Series
4.8
Taylor Polynomials (
omit Big-O Notation and Proof of Theorem 11 )
9.8 Taylor’s
Formula Revisited ( omit Proof of Theorem 23 )
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14
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May 24-28
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4.9
Applications of
Taylor and Maclaurin Series
9.9 The
Binomial Theorem and Binomial Series
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