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Welcome to Calculus II! For course info and policies, please see the syllabus. For online homework, visit Edfinity. For grades, log into Moodle. If you need help, contact Prof. Wright.

**Prof. Wright's office hours in RMS 405:** Mon. 9:00–10:00am, Tues. 9:30–10:30am, Wed. 2:00–3:00pm, Thurs 1:00–2:00pm, Fri. 9:00–10:00am, whenever the door is open, or by appointment

**Supplemental Instruction (SI):** Sun. 4:00–5:00pm in RNS 206, Mon. 6:30–7:30pm in RNS 206, Thurs. 8:00–9:00pm in RNS 204

- Complete the Syllabus Quiz on Moodle.
- Create an Edfinity account (use the link in the email from Prof. Wright) and complete the Edfinity Demo assignment.
- Complete Review of Derivatives assignment on Edfinity.
- Begin Written Homework 1 (due Wednesday).
- Read Active Calculus section 4.3: The Definite Integral. Complete the 4.3 Preview: The Definite Integral assignment on Edfinity.

- Finish Written Homework 1 (due Wednesday).
- Complete Definite integral and FTC assignment on Edfinity.
- Read Active Calculus section 4.4: The Fundamental Theorem of Calculus and section 5.1: Constructing Accurate Graphs of Antiderivatives. Complete the 5.1 Preview exercise on Edfinity.
- Begin Written Homework 2 (due Friday).

- Finish Written Homework 2 (due Friday).
- Read section 5.2: The Second Fundamental Theorem of Calculus.
- Complete Antiderivatives and the FTC assignment on Edfinity.
- Read section 5.3: Integration by Substitution. Complete the 5.3 Preview exercise on Edfinity.
- Begin Written Homework 3 (due Monday).

- Finish Written Homework 3 (due Monday).
- Complete 5.3 Integration by Substitution on Edfinity.
- Read section 5.4: Integration by Parts. Complete the 5.4 Preview exercise on Edfinity.

- Work on 5.4 Integration by Parts on Edfinity (now due Friday).
- Read section 5.5 Other Options for Finding Algebraic Antiderivatives.
- Begin Written Homework 4 (due Friday).

- Finish 5.4 Integration by Parts on Edfinity (now due Friday).
- Finish Written Homework 4 (due Friday).
- Read section 6.1: Using Definite Integrals to Find Area and Length. Complete the 6.1 Preview exercise on Edfinity.

- Complete 6.1 Area on Edfinity.
- Begin Written Homework 5 (due Wednesday).

- Finish Written Homework 5 (due Wednesday).
- Complete 6.1 Length on Edfinity.
- Read section 6.2: Using Definite Integrals to Find Volume and complete the 6.2 Preview exercise on Edfinity.
- Begin Written Homework 6 (due Friday).

- Finish Written Homework 6 (due Friday).
- Complete 6.2 Using Definite Integrals to Find Volume on Edfinity.

September 30

**Exam 1**

- This exam will cover derivatives and integrals, focusing on the sections of Active Calculus that we have studied, up to Section 6.2.
- You may bring a 3-by-5 inch index card filled (on both sides) with any reference material that you would like during the exam. Index cards will be provided in class on Sept. 27.
- Calculators will be permitted, but probably not very helpful, and certainly not necessary.
- Books, phones, and internet-capable devices will not be permitted during the exam.
- A set of review problems is available on Edfinity.

- Read section 6.5 Improper Integrals.
- Complete 6.5 Improper Integrals on Edfinity.
- Read section 8.1 Sequences, and complete the 8.1 Preview exercise on Edfinity.

**Extra credit opportunity**: Attend either of Dr. Eugenia Cheng's talks on Thursday, October 3 (3:30pm in Tomson 280 or 7:00pm in Carleton Weitz Cinema) and answer these two questions on Moodle to earn two extra-credit homework points.

- Complete 8.1 Sequences on Edfinity.
- Read section 8.2 Geometric Series and complete the 8.2 Preview exercise on Edfinity.
- Begin Written Homework 7 (due Wednesday).

- Finish Written Homework 7 (due Wednesday).
- Re-read section 8.2 Geometric Series.
- Begin Written Homework 8 (due Friday).

- Finish Written Homework 8 (due Friday).
- Complete 8.2 Geometric Series on Edfinity.

*Fall break! No class Monday, October 14.*

- Read section 8.3 Series of Real Numbers. Subsection 8.3.1 should be familiar by now. Read subsection 8.3.2 The Divergence Test, but focus on 8.3.3 The Integral Test. You can stop when you finish subsection 8.3.3.
- Complete 8.3 Series and Integral Test on Edfinity.

- Read Section 8.3.5 The Ratio Test in Active Calculus.
- Look at the Ratio Test assignment on Edfinity (due
~~Friday~~Monday). - Begin Written Homework 9 (due Monday).

- Complete the Ratio Test assignment on Edfinity (due Monday).
- Start the 8.6 Power Series assignment on Edfinity (due Wednesday).
- Finish Written Homework 9 (due Monday).
- Begin Written Homework 10 (due Wednesday).

October 21

**Quiz today**on geometric

series and integral test

- Finish the 8.6 Power Series assignment on Edfinity (due Wednesday).
- Finish Written Homework 10 (due Wednesday).
- Read 8.5 Taylor Polynomials and Taylor Series, at least through subsection 8.5.2, in Active Calculus.

- Re-read 8.5 Taylor Polynomials and Taylor Series in Active Calculus. You can skip the subsection on error approximation, if you like.
- Read 8.6 Power Series in Active Calculus. This material should be (mostly) familiar now!
- Complete 8.5 Taylor Series on Edfinity.
- Begin Written Homework 11 (due Monday).

- Finish Written Homework 11 (due Monday).
- Complete More Taylor series on Edfinity.

October 30

**Exam 2**

- This exam will cover improper integrals, sequences, and series. This includes all of the topics that we have studied since the first exam.
- You may bring a 3-by-5 inch index card filled (on both sides) with any reference material that you would like during the exam. Index cards will be provided in class on Oct. 28.
- Calculators will be permitted, but probably not very helpful, and certainly not necessary.
- Books, phones, and internet-capable devices will not be permitted during the exam.
- A set of review problems is available on Edfinity.

- Read Active Calculus - Multivariable section 1.1 about functions of several variables and 3D space.
- Begin Multi 1.1 Functions of Several Variables on Edfinity (due
~~Monday~~Wednesday). - Correct the questions you missed on Exam 2. Write your solutions on a new piece of paper, not on the exam.

- Finish Multi 1.1 Functions of Several Variables on Edfinity (due Wednesday).
- Read Active Calculus - Multivariable section 1.2 Vectors.
- Complete Multi 1.2 Vectors on Edfinity (due Wednesday).
- Begin Written Homework 12 (due Friday).

*Bonus videos by Prof. Ghrist*: quadratic surfaces, high-dimensional coordinates in robotics, distance via coordinates, vector components, vector algebra

- Finish Written Homework 12 (due Friday).
- Read Active Calculus - Multivariable section 1.3: The Dot Product.
- Complete Multi 1.3 Dot Product on Edfinity (due Friday).

- Read Active Calculus - Multivariable section 1.4: The Cross Product.
- Complete Multi 1.4 Cross Product on Edfinity (due Monday).
- Begin Written Homework 13 (due Wednesday).

- Read Active Calculus - Multivariable section 1.5: Lines and Planes in Space.
- Complete Multi 1.5 Lines on Edfinity (due Wednesday).
- Finish Written Homework 13 (due Wednesday).
- Begin Written Homework 14 (due Friday).

- Complete Multi 1.5 Planes on Edfinity (due Friday).
- Think about the remaining questions on the first page of the Partial Derivatives worksheet from class—the last page of these notes.
- Finish Written Homework 14 (due Friday).
- Read Active Calculus - Multivariable section 2.2: First-Order Partial Derivatives.

November 15

**Quiz today**on dot product,

cross product, and lines

- Re-read Active Calculus - Multivariable section 2.2: First-Order Partial Derivatives.
- Complete Multi 2.2 First Partial Derivatives on Edfinity (due Monday).

Sunday SI will be held in RNS 206 from 8:00 to 9:00pm.

- Read Active Calculus - Multivariable section 2.4: Linearization.
- Complete Multi 2.4 Linearization on Edfinity (due Wednesday).
- Begin Written Homework 15 (due Friday).

- Read Active Calculus - Multivariable section 2.3: Second-Order Partial Derivatives and section 2.6: Directional Derivatives and Gradient.
- Complete Multi 2.3 More Partial Derivatives on Edfinity (due Friday).
- Finish Written Homework 15 (due Friday).

This week, Thursday SI has moved to Friday, 6:00 to 7:00pm in RNS 206.

- Finish Multi 2.3 More Partial Derivatives, if you haven't done so already.
- Study for Exam 3. See information below, problems from class, and review problems on Edfinity.

November 25

**Exam 3**

- This exam will cover the material we have studied after Exam 2: multivariable functions, vectors, lines and planes, partial derivatives, etc..
- You may bring a 3-by-5 inch index card filled (on both sides) with any reference material that you would like during the exam. Index cards will be provided in class on Nov. 22.
- Calculators will be permitted, but probably not very helpful, and certainly not necessary.
- Books, phones, and internet-capable devices will not be permitted during the exam.
- A set of review problems is available on Edfinity.

*Thanksgiving break! No class November 27 or 29.*

- Read Active Calculus - Multivariable section 3.1: Double Riemann Sums and Double Integrals.
- Complete Multi 3.1 Double Riemann Sums on Edfinity (due Wednesday).
- Correct the questions you missed on Exam 3. Write your solutions on a new piece of paper, not on the exam (due Wednesday).
- Take a look at Written Homework 16 (due Friday).

*Bonus videos by Prof. Ghrist*: The Definite Integral (in *n* dimensions), Multiple Integrals - What & Why?

- Complete Multi 3.1 Double Riemann Sums on Edfinity, if you haven't done so already.
- Read Active Calculus - Multivariable section 3.2: Iterated Integrals.
- Complete Multi 3.2 Iterated Integrals on Edfinity (due Friday).
- Finish Written Homework 16 (due Friday).

*Bonus videos by Prof. Ghrist*: The Fubini Theorem, Iterated Integrals

- Read Active Calculus - Multivariable section 3.3: Double Integrals over General Regions.
- Finish Written Homework 16, if you haven't done so already (due date extended to Monday).
- Complete Multi 3.2 Iterated Integrals on Edfinity, if you haven't done so already.
- Begin Written Homework 17 (due Wednesday).

December 9

**Quiz today**on double and

iterated integrals over rectangles

- Re-read Active Calculus - Multivariable section 3.3: Double Integrals over General Regions.
- Complete Multi 3.3 Double Integrals over General Regions on Edfinity (due Wednesday).
- Finish Written Homework 17 (due Wednesday).

December 17

**Final Exam, 2–4pm**

- This exam will be cumulative, with emphasis on material from the end of the semester (partial derivatives and double integrals). Here is a topic list.
- You may bring
*one page*containing any reference material that you would like during the exam. - Calculators will be permitted, but probably not very helpful, and certainly not necessary.
- Books, phones, and internet-capable devices will not be permitted during the exam.
- A big set of optional review problems is available on Edfinity.
- Lastly, make sure you are familiar with the St. Olaf final exam policies.