Lectures
These are the lectures which were used in Spring 2016.
Solutions and solution videos are posted here
Mathematica Files
You can download zipped Mathematica Files with Firefox, to use Mathematica files, you will need to download the student version of Mathematica from the OIT website (under downloads). Make sure you evaluate the notebook before viewing, (under Evaluation in the drop down menu).
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3. The natural Exponential Function
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4. General Logarithms and Exponentials
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5. Exponential growth and decay
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6. Inverse Trigonometric Functions
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Trigonometric Integrals Essential Background and low powers
Trigonometric Integrals Extra Examples
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10. Trigonometric Substitution
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Numerical Integration Mathematica File
From The Web
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Improper Integrals Mathematica File
From The Web
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From The Web
Video Arc Length More Examples
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17. Direction Fields and Euler's Method
From The Web
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From The Web
Video: Seperable EquationExample 1
Video: Seperable Equation Example 2
Video: Orthogonal Trajectories 1
Video: Orthogonal Trajectories 2
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19.First order Linear Differential Equations
From The Web
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From the web
Video: Sequences 1: Definition
Video: Sequence 2 Convergence and Divergence
Video: Sequence 3, corresponding Function
Video: Sequences 4, Alternating Sequences
Video: Sequences 5, Squeeze Theorem for sequences
Video, Sequences 6, exponentials
Video: Sequences Monotonic and bounded
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From The Web
Video: Geometric series and divergence test Part 1
Video: Geometric Series and divergence test Part 2
Video: Telescoping series Example
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22/23. Integral Test for p-series and Comparison Test
From The Web
Video: Integral Test Basic Idea
Video: Integral test, why it works
Video Direct Comaprison Test/Limit comparison test basic Info.
Video Direct Comparison Test Example 1
Video Direct Comparison Test Example 2
Video Direct Comparison Test Example 3
Video Direct Comparison Test Example 4
Video Direct Comparison Test Example 5
Video Limit Comparison Test Example 1
Video Limit Comparison Test Example 2
Video Limit Comparison Test Example 3
Video Limit Comparison Test Example 4
Video Limit Comparison Test Example 5
Video Limit Comparison Test Example 6
Video Limit Comparison Test Example 7
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From the Web
Video Alternating Series Estimation Theorem
Video Alternating Series Example 1
Video Alternating series Example 2
Video Alternating Series Example 3
Video Alternating series Example 4
Video Alternating series Estimating error 1
Video Alternating Series Estimating Error 2
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Video Preview 1 Lecture 25 Absolute Convergence
Video Preview 2 Lecture 26 Ratio Test
Video Preview 3 Lecture 26, nth root test
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Video Example 1 (old exam question)
Video Example 2 (old exam question)
Video Example 3 (old exam question)
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Mathematica Worksheet Lecture 27
From The Web
Interval and Radius of Convergence Example
Interval and Radius of Convergence Example
Interval and Radius of Convergence Example
Interval and Radius of Convergence Example
Interval and Radius of Convergence Example
Interval and Radius of Convergence Example
Interval and Radius of Convergence Example
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28. Representing Functions as Power Series
Mathematica Worksheet Lecture 28
From The Web
Differentiating and Integrating Power Series
Finding Power series by differentiating(Examples)
Finding Power Series by Integration(Example)
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29. Taylor and McLaurin Series
From The Web
Taylor and McLaurin Series Example
Example: Taylor series for Ln(x) at a = 2
Estimating an integral with a Taylor Series
Using Taylor's Theorem about the remainder.
More Power Series From Known Power Series
Using Integration, substitution with the exponential power series
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30. Applications of Taylor series
Mathematica Worksheet Lecture 30
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Mathematica Worksheet Lecture 31
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32. Calculus with parametric curves
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Mathematica Worksheet Polar Curves
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34. Areas and Lengths in Polar Co-ordinates
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