Weekly Schedule

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• Week 1 written assignment: due Friday, January 22

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• Monday: Inverse functions
  • Inverse function notes (as a pdf)
  • Inverse function notes (original Mathematica notebook)
  • My "lectures" over this material: note that I was using a slightly different version of the materials -- Prof. Wilkinson and I continue to attempt to improve things, so he added several "in-line" videos to help with the questions.

  • Make sure that you've done your introduction on Canvas. We're off to a good start!
  • You have an IMath assignment, due 1/25 -- more than anything we want you to get up and running with that. There's also a "practice" assignment, where you can play around, to make sure that you understand how to enter your answers.

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• Tuesday/Thursday: Computer lab assignment: due 1/16 (you'll be working on this during the lab time -- hopefully you can finish it!)
  • Introduction to Mathematica as a plotting calculator
  • Tangent lines to exponential functions
  • Linear approximations of exponential functions

  If you can't download your own copy of Mathematica for some reason, you can also use Mathematica without downloading it by accessing NKU's Virtual Lab. (Instructions)

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• Wednesday: Exponential functions
• Exponential functions (pdf)
• Exponential functions (Mathematica File)
• Long yacks through the notes using Mathematica

As usual, there's an IMath assignment associated with this section.

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• Friday: Logarithms
• Logarithmic functions (pdf)
• Logarithmic functions (Mathematica File)
• Long yacks through the notes using Mathematica

• Holidays and Deadlines:

  • Monday, January 18—Martin Luther King Day
  • Tuesday, January 19—Add deadline, drop with 100% adjustment deadline

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• Week 2 written assignment: due Friday, January 29
• There are new IMath assignments, of course.

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• New Topics:

  • Derivative of logarithms
  • Log Derivatives (.nb)
  • Log Derivatives (.pdf)
  • Long yacks through the notes using Mathematica:
    • Part A
    • Part B

  • Inverse trigonometry
  • Inverse trig (.nb)
  • Inverse trig (.pdf)
  • Long yacks through the notes using Mathematica:
    • Part A
    • Part B

• Computer lab 2 (due 1/23):

  • Defining functions, solving equations, and differentiation in Mathematica
  • Optimization of exponential functions
  • Curve sketching with exponential functions

• Holidays and Deadlines:

  • Friday–Sunday, January 29–31—Exam 1 online

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• No new weekly assignment (we won't be having these on test weeks).
• There is a new IMath assignment, but it won't be due until the end of next week.

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• New Topics:

  • Indeterminate limits and L’Hospital’s rule
  • 6.8_indeterminate.nb
  • 6.8_indeterminate.pdf
  • Long yacks through the notes using Mathematica:
    • 6.8.InverseTrigReview
    • 6.8: indeterminate forms
  • General exponential functions
    • elementary-functions-update.pdf
    • elementary-functions-update.nb
    • Trip to the Function Zoo
    • Using Mathematica to Visualize some Zoo Animals

  • Here's a review for that first exam coming up.
  • Computer lab 3 (as a pdf)
    • Pitfalls and Useful Tricks

• Weekly Assignment #4 (pdf) (nb) (due Wednesday, 2/17)

• Topics:
  • Monday, 2/8Trigonometric substitutions
  1. Trigonometric Substitution (pdf)
  2. Trigonometric Substitution (nb)
  3. Long's high points of Trigonometric Substitution
  • Wednesday, 2/10: Numerical Integration (Part I: methods)
  1. Numerical Integration (pdf)
  2. Numerical Integration (nb)
  3. Long's high points of Numerical Integration (part I)
  • Friday, 2/12: Numerical Integration (Part II: errors)
  1. Long's high points of Numerical Integration (part II -- review and errors)

• Computer lab (Tuesday was a snow day; Thursday): Lab 5 (pdf) (due Saturday, 2/13 -- extra credit)
  1. Work with integration by parts
  2. Work with trigonometric integrals

• Holidays and Deadlines: Monday-Tuesday, February 15-16—Presidents’ Day Break
• Weekly Assignment #5 (pdf) (nb) (due Thursday, 2/25)

• Topics:
  • Numerical integration (Wednesday)
    1. Applied Numerical Integration (pdf)
    2. Applied Numerical Integration (nb)
    3. Long talks you through some examples of Numerical Integration
  • Numerical integration error analysis (Friday)
    1. Numerical Integration Error Analysis (pdf)
    2. Numerical Integration Error Analysis (nb)
    3. Long talks you through the error analysis
• Computer labs: Lab 6 (due Monday, 2/22)

  Sums in Mathematica; Work with Numerical Integration

  1. Notes from Lab today -- analytic solution to definite integral; LRR and RRR as over- and under-estimates.
  2. Lab 6 Workout (.nb)
  3. Lab 6 Workout (pdf)

• Holidays and Deadlines:
  • Friday-Sunday, February 26-28—Exam 2 online
• Topics:
  • Improper integrals
  1. Improper Integrals (nb)
  2. Improper Integrals (pdf)
  3. Long talks you through the improprieties...
  • Thoughts on how to review for the exam:
    • Exam 2 Review Ideas (.nb)
    • Exam 2 Review Ideas (.pdf)

• Computer Lab 7:

  • Various topics in (including improper integrals) in numerical integration
  • Lab 7 (.nb) (a pdf version) (due Monday, 3/1)

• Weekly Assignment #6 (pdf) (nb) (due Wednesday, 3/10 -- revised due date)

• Topics:

  • More improper integrals
    1. More Improper Integrals (.nb)
    2. More Improper Integrals (.pdf)
    3. Long talks you most of the way through.
    4. Long wraps it up.
  • Taylor polynomials
  1. Taylor Polynomials (.nb)
  2. Taylor Polynomials (.pdf)
  3. Long talks you through.
  • Taylor's theorem

• Computer Lab 8: more on improper integrals
  • Lab 8 (.nb) (a pdf version) (due Saturday, 3/6)

• Holidays and Deadlines:

  • Friday, March 12—Spring Break Day

• Weekly Assignment #7 (pdf) (nb) (due Wednesday, 3/17)

• Topics:

  • Sequences
  1. Infinite sequences (.nb)
  2. Infinite sequences (.pdf)
  3. Long talks you through.
  • Series
  1. Infinite series (.nb)
  2. Infinite series (.pdf)
  3. Long talks you through the intro.
  4. Long talks you through geometric series to the end.

• Computer lab:

  • Lab 9: Approximating functions with polynomials (.nb) (a pdf version)

• Weekly Assignment #8 (pdf) (nb) (due Wednesday, 3/24)
• Topics:

  • Integral test
  1. Integral Test (nb)
  2. Integral Test (pdf)
  3. Long talks you through the Integral Test.
  • Comparison test
  1. Comparison Tests (.nb)
  2. Comparison Tests (.pdf)
  3. Long talks you through the Comparison Test.
  • Alternating series test
  1. Alternating Series Test (.nb)
  2. Alternating Series Test (.pdf)
  3. Long talks you through
     • the AST, and
     • the AST error bound.
• Computer lab 10:

  • Work with geometric series, p-series, and alternating series
  • Functions with integer domains
  • ListPlot, TableForm, MatrixForm (Mathematica functions)

• Holidays and Deadlines:

  • Monday, March 22—Drop deadline
  • Friday-Sunday, March 26-28—Exam 3 online
• No worksheet (with the exam coming up).
• Topics:

  • Absolute convergence test
  1. Absolute Convergence (.nb) (root and ratio tests)
  2. Absolute Convergence (.pdf) (root and ratio tests)
  3. Long talks you through Absolute convergence, root, and ratio tests.
• Computer lab 11: review of series techniques in preparation for exam 3

  • Does this series converge or doesn't it?
  • If it does converge, can I evaluate it? Can I approximate it?
  • If approximating, how much error am I making? Can I bound the error?
  • Using error estimates to approximate infinite sums with desired accuracy

• Holidays and Deadlines:

  • Thursday-Friday, April 1-2—Spring Break Days
• Weekly Assignment #9 (pdf) (nb) (due Friday, 4/9)
• Topics:

  • Power series
  • Power Series (.nb)
  • Power Series (.pdf)
  • Long talks you through Power Series.
  • Functions as Power series
  • Functions as Power Series (.nb)
  • Functions as Power Series (.pdf)
  • Long talks you through
    • Functions as Power Series.
    • Calculus of Power Series.

  Computer lab:

  • Computer lab 12 (due Wednesday, 4/7):

    • Absolute and conditional convergence
    • Root and Ratio Tests

• Weekly Assignment #10 (pdf) (nb) (due Wednesday, 4/14)
• Topics:

  • Taylor series
  • Taylor Series (.nb)
  • Taylor Series (.pdf)
  • Long talks you through Taylor Series.
  • Taylor polynomials
  • Taylor Polynomials (.nb)
  • Taylor Polynomials (.pdf)
  • Long talks you through Taylor polynomials..
  • Parametric Equations, Polar coordinates
  • Parametric Equations (.nb)
  • Parametric Equations (.pdf)
  • Long talks you through Parametric Equations.
• Computer lab 13 (due Monday, 4/12):

  • Taylor series and polynomials

• Holidays and Deadlines:

  • Friday-Sunday, April 16-18—Exam 4 online
• No worksheet: test week.
• Topics:

  • Calculus of Parametric Equations
  • Calculus of Parametric Equations (.nb)
  • Calculus of Parametric Equations (.pdf)
  • Long talks you through Calculus of Parametric Equations.
  • Polar coordinates
  • Polar Coordinates (.nb)
  • Polar Coordinates (.pdf)
  • Long talks you through two videos (just because of a technical glitch!:)
    1. Part I.
    2. Part II.
• Computer lab 14 (due Wednesday, 4/21):

  • Parametric equations
  • Mathematica commands: ContourPlot, ParametricPlot, Manipulate

• Weekly Assignment #11 (pdf) (nb) (due Friday, 4/30)
• Topics:

  • Calculus of Polar curves
  • Calculus of Polar Equations (.nb)
  • Calculus of Polar Equations (.pdf)
  • Long talks you through Calculus of Parametric Equations:
    1. Intro, and Areas of Polar Curves.
    2. Lengths of Polar Curves.
  • 3D coordinates
  • Three-dimensional coordinate systems (.nb)
  • Three-dimensional coordinate systems (.pdf)
  • Long talks you through Three-dimensional coordinate systems.
  • Vectors
  • Vectors (.nb)
  • Vectors (.pdf)
  • Long talks you through vectors.

• Computer lab 15 (due Wednesday, 4/28):

  • Calculus of Polar Curves

• Topics:

  • Dot products
  • Dot Products (.nb)
  • Dot Products (.pdf)
  • Long talks you through dot products.
  • Cross products
  • Cross Products (.nb)
  • Cross Products (.pdf)
  • Long talks you through cross products.
  • Lines in Space
  • Lines and Planes (.nb)
  • Lines and Planes (.pdf)
  • Long talks you through those linear things....
  • Integration and Series review
• Computer lab 16 (due Wednesday, 5/5 -- optional -- will replace a lower lab grade):
  Vector and vector products