Exams
- Fall 2009 Exam 1
- Fall 2009 Exam 1 Answers
- Fall 2010 Exam 1
- Fall 2010 Exam 1 Answers
- Winter 2011 Exam 1
- Winter 2011 Exam 1 Answers
- Winter 2012 Exam 1
- Winter 2012 Exam 1 Answers
- Fall 2014 Exam 1
- Fall 2016 Exam 1
- Fall 2017 Exam 1
- Winter 2018 Exam 1
- Winter 2018 Exam 1 Solutions
- Winter 2020 Exam 1
- Winter 2022 Exam 1
- Winter 2023 Exam 1
- Winter 2023 Exam 1 Solutions
- Fall 2009 Exam 2
- Fall 2009 Exam 2 Answers
- Fall 2010 Exam 2
- Fall 2010 Exam 2 Answers
- Winter 2011 Exam 2
- Winter 2011 Exam 2 Answers
- Winter 2012 Exam 2
- Winter 2012 Exam 2 Answers
- Fall 2014 Exam 2
- Fall 2014 Exam 2 Answers
- Fall 2016 Exam 2
- Fall 2016 Exam 2 Answers
- Fall 2017 Exam 2
- Fall 2017 Exam 2 Answers
- Winter 2018 Exam 2
- Winter 2018 Exam 2 Solutions
- Winter 2020 Exam 2
- Winter 2022 Exam 1 & 2 Redo
- Winter 2023 Exam 2
- Winter 2023 Exam 2 Solutions
- Fall 2009 Exam 3
- Fall 2009 Exam 3 Answers
- Fall 2010 Exam 3
- Fall 2010 Exam 3 Answers
- Winter 2011 Exam 3
- Winter 2011 Exam 3 Answers
- Winter 2012 Exam 3
- Winter 2012 Exam 3 Answers
- Fall 2014 Exam 3
- Fall 2016 Exam 3
- Fall 2016 Exam 3 Answers
- Fall 2017 Exam 3
- Fall 2017 Exam 3 Answers
- Winter 2018 Exam 3
- Winter 2022 Exam 3
- Winter 2022 Exam 3 Solutions
- Winter 2023 Exam 3
- Winter 2023 Exam 3 Solutions
- Fall 2009 Final Exam
- Fall 2009 Final Exam Answers
- Fall 2010 Final Exam
- Fall 2010 Final Exam Answers
- Winter 2011 Final Exam
- Winter 2011 Final Exam Answers
- Winter 2012 Final Exam
- Winter 2012 Final Exam Answers
- Fall 2014 Final
- Fall 2016 Final
- Fall 2016 Final Answers
- Fall 2017 Final
- Fall 2017 Final Answers
- Winter 2018 Final
- Winter 2020 Final
- Winter 2020 Final Solutions
- Winter 2022 Final
- Winter 2022 Final Solutions
- Winter 2023 Final
- Winter 2023 Final Solutions
Quizzes
- Fall 2010 Quiz 1
- Winter 2011 Quiz 1
- Winter 2012 Quiz 1
- Fall 2016 Quiz 1
- Winter 2017 Quiz 1
- Winter 2020 Quiz 1
Assignments
Notes
These notes reflect a "by-the-book" approach to second-semester calculus that regards the course as a development of techniques. It begs the question, "Techniques for what?"
- Derivatives of Inverse Functions; Logarithms and Exponentials Base e
- Logarithmic Differentiation; Logs and Exponentials to Other Bases
- Motivating Examples via Differential Equations; L'Hopital's Rule
- Interlude: Partial Derivatives and The Heat Equation
- More on L'Hopital's Rule; Exponential Growth and Decay
- Inverse Trig Functions, Derivatives
- Integration by Parts; Trig Integrals
- More Trig Integrals; Trig Substitution
- More Trig Substitution
- Partial Fractions; Improper Integration
- More Improper Integration; Sequences
- Convergence of Sequences; Infinite Series- Geometric Series
- Test for Divergence; Operations on Convergent Series; Integral Test
- Absolute Convergence; Ratio and Root Tests
- Power Series; Radius and Interval of Convergence
- Comparison Tests; More on Power Series; Differentiation and Integration of Power Series
- Taylor and MacLaurin Series
- More on Taylor and MacLaurin Series
- Polar Coordinates: Graphing and Areas
- Parametric Curves
- Arc Length and Surface Area
Condensed Notes
These notes reflect a shift of focus to teaching this course for what I feel it actually is: techniques to solve differential equations. Every technique comes with an equation that models a "real life" problem.
- Week One: Differential Equations, Logarithms, and Exponentials
- Week Two: Tank Problems, Improper Integrals, Laplace Transforms, Log and Exponential Limit Laws
- Week Three: Integration by Parts, L'Hopitals Rule, and more Laplace Transforms
- Week Four: More Indeterminate Forms, Extending the Natural Log, more Improper Integrals, and the Two-Valve Tank Problem
- Week Five: Finishing the Two Valve Tank Problem, Partial Fractions, and Inverse Trig
- Week Six: Polar Coordinates
- Week Seven: Parametric Curves and Tangent Lines
- Week Eight: More on Tangent Lines, Arc Length, and Surface Area
- Week Nine: Curvature
- Week Ten: Sequences, Limits, and Basic Series
- Week Eleven: Power Series and the Ratio Test
- Week Twelve: More on the Ratio Test, Radius of Convergence, and Power Series Calculus
- Week Thirteen: Taylor and MacLaurin Series
