Welcome to Calculus II! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help, contact Prof. Wright.
Prof. Wright's office hours: Mon. 11am–noon, Wed. noon–1pm, Thurs. 10–11am, Fri. 11am–noon, and other times by appointment (in RMS 405)
Supplemental Instruction: Sun. noon-1pm, Tues. 7-8pm, Thurs. 7-8pm in Holland 434
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Today
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Friday
September 5
September 5
Derivatives
Do the following before next class:
- Read the syllabus and complete the Syllabus Quiz on Moodle.
- If you haven't logged into Edfinity yet for this course, follow the instructions on Moodle to do so. Then complete the Edfinity demo assignment to learn how to use Edfinity.
- Complete the Review of Derivatives assignment on Edfinity.
- Read Active Calculus section 4.3: The Definite Integral. (You do not need to turn in any preview exercises.)
- Begin Written Homework 1 (due Wednesday).
Monday
September 8
September 8
Areas, Riemann sums, and integrals
Do the following before next class:
- Finish Written Homework 1 and submit your solutions to the Written Homework 1 assignment on Moodle.
- Read sections 4.1 Determining distance traveled from velocity and 4.2 Riemann Sums in Active Calculus.
- Complete the Areas and Riemann Sums assignment on Edfinity.
Wednesday
September 10
September 10
Definite integrals and the Fundamental Theorem of Calculus
Bonus video: Paths to Math: John Urschel
Do the following before next class:
- Complete the Integration/FTC/Antiderivatives assignment on Edfinity.
- Read Writing Mathematics Well from Harvey Mudd College. Then begin Written Homework 2 (due Monday).
- Read Section 5.3: Integration by Substitution and complete the 5.3 preview exercises on Edfinity.
Friday
September 12
September 12
Integration by substitution
Do the following before next class:
- Review the integration by substitution problems and solutions from class.
- Read Writing Mathematics Well from Harvey Mudd College. Then finish Written Homework 2 and submit your solutions to the Written Homework 2 assignment on Moodle.
- Complete the Integration by Substitution assignment on Edfinity.
- Read Section 5.4: Integration by Parts and complete the 5.4 preview exercises on Edfinity.
Monday
September 15
September 15
Integration by parts
MSCS Colloquium: "When statistical modeling and machine learning collide: collider bias in genetic association studies" Monday, September 15, 3:30–4:30pm in RNS 210
Do the following before next class:
- Review the integration by parts problems and solutions from class.
- Complete the Integration by Parts assignment on Edfinity.
- Read Section 5.2 The Second Fundamental Theorem of Calculus and Section 5.6: Numerical Integration in Active Calculus. There are no preview exercises for Wednesday.
- Begin Written Homework 3 (due Friday).
Wednesday
September 17
September 17
More integration
Bonus video: Eugenia Cheng on The Late Show
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Second Fundamental Theorem of Calculus assignment on Edfinity.
- Finish Written Homework 3 and submit your solutions to the Written Homework 3 assignment on Moodle.
- Read Section 6.1: Using Definite Integrals to Find Area and Length in Active Calculus.
Friday
September 19
September 19
Definite integrals: area and length
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Area Between Functions assignment on Edfinity.
- Read Section 6.2 Using Definite Integrals to find Volume in Active Calculus and complete the 6.2 preview exercise on Edfinity.
- Read the Exam 1 guidance. It would be a good idea to start reviewing for the exam.
- Take a look at Written Homework 4, which is due Friday, Sept. 26.
Monday
September 22
September 22
Definite integrals: length and volume
Do the following before next class:
- Review the problems and solutions from class.
- Re-read Section 6.1: Using Definite Integrals to Find Area and Length in Active Calculus.
- Complete the Arclength assignment on Edfinity.
- Re-read Section 6.2 Using Definite Integrals to find Volume in Active Calculus.
- Work on Written Homework 4, which is due Friday.
- Review the Exam 1 guidance and study for the exam.
Wednesday
September 24
September 24
Definite integrals: volume
Bonus video: Francis Su — Mathematics for Human Flourishing short version and long version
Learn about opportunities in math, stats, and computer science at the MSCS Showcase — Thursday, September 25, 4:30pm, Buntrock Commons Ballrooms
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Volume assignment on Edfinity.
- Finish Written Homework 4and submit your solutions to the Written Homework 4 assignment on Moodle.
- Review the Exam 1 guidance and study for the exam.
Do the following before next class:
- Review the Exam 1 guidance.
- Study for the exam. For practice problems, try the problems in the sections of Active Calculus that we have studied and the Exam 1 review problems on Edfinity.
- Prepare your note card (4 inches by 6 inches, one side) that you may use during the exam.
Monday
September 29
September 29
Exam 1
Do the following before next class:
- Read Section 6.5: Improper Integrals and complete the 6.5 preview exercise on Edfinity.
Wednesday
October 1
October 1
Improper integrals
Do the following before next class:
- Review the problems and solutions from class.
- Correct any exam problems that you missed. Follow instructions distributed in class. Corrections are due at the beginning of class on Friday.
- Read Section 8.1 Sequences in Active Calculus and complete the 8.1 preview exercises on Edfinity.
- Complete the Improper Integrals assignment on Edfinity.
- Begin Written Homework 5, which is due Monday.
Friday
October 3
October 3
Sequences and limits
MSCS Lightning Talks: learn about the research areas of your MSCS faculty — Friday, October 3, 3:30–4:30pm in RNS 210
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Sequences assignment on Edfinity.
- Read Section 8.2 Geometric Series in Active Calculus and complete the 8.2 preview exercises on Edfinity.
- Finish Written Homework 5 and submit your solutions to the Written Homework 5 assignment on Moodle.
Monday
October 6
October 6
Geometric series
MSCS Colloquium: "A Wrinkle in Time (to Event): A Model for Alternating Recurrent Events" Monday, October 6, 3:30–4:30pm in RNS 210
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Introduction to Series assignment on Edfinity.
- Read Section 8.3 Series of Real Numbers in Active Calculus. There are no preview exercises for Wednesday.
- Begin Written Homework 6, which is due Friday.
Wednesday
October 8
October 8
Geometric series and divergence test
Bonus: Why is Mathematics Useful — Robert Ghrist, and Calculus GREEN Vol. 1
Do the following before next class:
- Review the problems and solutions from class.
- Re-read Sections 8.2 and 8.3 in Active Calculus. There are no preview exercises for Friday.
- Complete the Geometric Series and Divergence Test assignment on Edfinity.
- Finish Written Homework 6 and submit your solutions to the Written Homework 6 assignment on Moodle.
Friday
October 10
October 10
Series of real numbers
Do the following before next class:
- Review the problems and solutions from class.
- Re-read Section 8.3 Series of Real Numbers in Active Calculus. There are no preview exercises for Monday.
- Complete the Series, Divergence Test, and Integral Test assignment on Edfinity.
- Begin Written Homework 7, which is due Wednesday.
Monday
October 13
October 13
Series convergence tests
MSCS Colloquium: "Sex Differences in Genomics: Analytical Considerations and Applications to Mental Health" Monday, October 13, 3:30–4:30pm in RNS 210
Do the following before next class:
- Review the problems and solutions from class.
- Read Section 8.4 Alternating Series in Active Calculus. There are no preview exercises for Wednesday.
- Complete the Comparison and Ratio Test assignment on Edfinity.
- Finish Written Homework 7 and submit your solutions to the Written Homework 7 assignment on Moodle.
Wednesday
October 15
October 15
Alternating Series
Bonus video: Moon Duchin: "Political Geometry" and DistrictR
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Alternating Series assignment on Edfinity.
- Re-read Section 8.5 Taylor Polynomials and Taylor Series in Active Calculus. There are no preview exercises for Wednesday.
- Begin Written Homework 8, which is due Wednesday, Oct. 22.
- If you're curious why \(1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + \cdots = \frac{\pi^2}{6}\), then watch this video.
Friday
October 17
October 17
Power series and Taylor series
Have a great fall break! No class October 20.
Do the following before next class:
- Review the problems and solutions from class.
- Complete the Power Series assignment on Edfinity.
- Finish Written Homework 8 and submit your solutions to the Written Homework 8 assignment on Moodle.
- Read the Exam 2 guidance. It would be wise to spend at least a little time reviewing past material during fall break.
Wednesday
October 22
October 22
Power series and Taylor series
Do the following before next class:
- Review the problems and solutions from class.
- Re-read Section 8.5 and Section 8.6 in Active Calculus. There are no preview exercises for Friday.
- Complete the Power Series II assignment on Edfinity.
- Begin Written Homework 9, which is due Monday, Oct. 27.
- Read the Exam 2 guidance. Study for the exam.
Friday
October 24
October 24
Maclaurin series and Taylor series
Bonus: MEET a Mathematician — Federico Ardila and Federico Ardila on Math, Music and the Space of Possibilities
Do the following before next class:
- Review the problems and solutions from class.
- Re-read Section 8.5 and Section 8.6 in Active Calculus.
- Complete the Taylor/Maclaurin Series assignment on Edfinity.
- Finish Written Homework 9, and submit your solutions to the Written Homework 9 assignment on Moodle.
- Read the Exam 2 guidance. It would be a good idea to spend at least a little time studying for the exam.
Monday
October 27
October 27
Review for exam
Do the following before next class:
- Review the Exam 2 guidance.
- Study for the exam. For practice problems, try the problems in the sections of Active Calculus that we have studied and the Exam 2 review problems on Edfinity.
- Prepare your note card (4 inches by 6 inches, one side) that you may use during the exam.
Wednesday
October 29
October 29
Exam 2
There is no assignment for Friday.
Friday
October 31
October 31
Functions of several variables and 3D space
Bonus video: Yitang Zhang: An Unlikely Math Star Rises
Do the following before next class:
- Review the problems and solutions from class.
- Read Section 9.1 Functions of Several Variables and Three Dimensional Space in Active Calculus Multivariable.
- Complete the Functions of Several Variables assignment on Edfinity.
- Optional: As a St. Olaf student, you can install Mathematica for free. To do so, follow the instructions on this page. Then you can use Mathematica to make 3D graphs like those in this notebook.
Monday
November 3
November 3
Vectors
Do the following before next class:
- Correct any exam problems that you missed. Follow instructions distributed in class. Corrections are due at the beginning of class on Wednesday.
- Review the problems and solutions from class.
- Read Section 9.2 Vectors in Active Calculus Multivariable.
- Complete the Vectors assignment on Edfinity.
- Begin Written Homework 10, which is due Friday, Nov. 7.
Wednesday
November 5
November 5
Dot product
Bonus: Susan D'Agostino book and interview
Do the following before next class:
- Review the problems and solutions from class.
- Read Section 9.3 Dot Product in Active Calculus Multivariable.
- Complete the Dot Product assignment on Edfinity.
- Finish Written Homework 10, and submit your solutions to the Written Homework 10 assignment on Moodle.
Friday
November 7
November 7
Cross Product
Do the following before next class:
- Review the problems and solutions from class.
- Read Section 9.4 Cross Product in Active Calculus Multivariable.
- Complete the Cross Product assignment on Edfinity.
- Begin Written Homework 11, which is due Wednesday, Nov. 12.
Monday
November 10
November 10
Lines and planes in space
Do the following before next class:
- Review the problems and solutions from class.
- Read Section 9.5 Lines and Planes in Active Calculus Multivariable.
- Complete the Lines and Planes assignment on Edfinity.
- Finish Written Homework 11, and submit your solutions to the Written Homework 11 assignment on Moodle.
Wednesday
November 12
November 12
Partial derivatives
Bonus: video How Not to Be Wrong: The Power of Mathematical Thinking - with Jordan Ellenberg
BRIDGES: Pathways Thursday, November 13, 5–6pm, RNS 356: pizza and discussion with senior STEM majors
Do the following before next class:
- Review the problems and solutions from class.
- Read Section 10.2 First-Order Partial Derivatives in Active Calculus Multivariable.
- Complete the Partial Derivatives assignment on Edfinity.
- Begin Written Homework 12, which is due Monday, Nov. 17.
Friday
November 14
November 14
Partial derivatives
Do the following before next class:
- Review the problems and solutions from class. Click here for the Desmos partial derivative demo from class.
- Read Section 10.3 Second-Order Partial Derivatives in Active Calculus Multivariable.
- Complete the Second Partial Derivatives assignment on Edfinity.
- Finish Written Homework 12 and submit your solutions to the Written Homework 12 assignment on Moodle.
Monday
November 17
November 17
Tangent planes and linear approximations
Do the following before next class:
- To be announced...
Wednesday
November 19
November 19
Directional derivatives
Do the following before next class:
- To be announced...
Friday
November 21
November 21
Review for exam
Do the following before next class:
- To be announced...
Monday
November 24
November 24
Exam 3
Do the following before next class:
- To be announced...
Have a great Thanksgiving break! No class November 26 or 28.
Monday
December 1
December 1
Double integrals over rectangles
Do the following before next class:
- To be announced...
Wednesday
December 3
December 3
Iterated integrals
Do the following before next class:
- To be announced...
Friday
December 5
December 5
Double integrals over general regions
Do the following before next class:
- To be announced...
Monday
December 8
December 8
Review for exam
We've made it to the end of the semester! A few last things to do:
- To be announced...
Friday
December 12
December 12
Final Exam for MATH 126 A
9:00–11:00am
9:00–11:00am
Saturday
December 13
December 13
Final Exam for MATH 126 B
9:00–11:00am
9:00–11:00am
