Math 121: Intermediate Calculus (Spring 2023)

This course is focused on integration techniques, series, and parametric/polar equations.

I previously taught this course in Spring 2018. At the link, you can find some materials from that version of the course.

Time and location

• Monday, Wednesday, and Friday, 11:00-11:50am in SMUD 204.

Help hours

• My office hours in SMUD 401:
  • Tuesday 2:00-3:30
  • Wednesday 2:30-4:00
  • Friday 1:30-2:30
• We have three wonderful Math Fellows (TAs) for 121, with office hours as follows. All Math Fellow hours are in SMUD 204.
  • Monday 6:00-7:30 (Admire Madyira)
  • Tuesday 6:00-7:30 (Admire Madyira)
  • Wednesday 7:30-9:00 (Aidee Hernandez)
  • Thursday 6:00-7:30 (Ali Sbeih)
  • Thursday 7:30-9:00 (Aidee Hernandez)
  • Friday 6:00-7:30 (Ali Sbeih)

Handouts and other items

• Syllabus
• Boardwork from my tablet (updated periodically)
• Zoom link for any online office hours, classes, etc.
• M 1/30: exponentials review handout / solutions
• W 2/8: L’Hôpital’s rule notes from an older course
• M 2/13: integration by parts notes from an older course (see Section 5 for a bit on tabular integration)
• W 5/3: Polar curves demo in Desmos.

Review handouts and extra review problems

The review handouts below are gratefully borrowed from Danielle Benedetto.

• Derivatives and integrals reference sheet
• The unit circle
• Trigonometry review
• Limit examples
• Inverse trig examples
• Integration by parts examples
• Trig. integral examples
• Trig. sub. examples
• Integration techniques reference sheet

Homework

Problem sets will be posted here. All problem sets are due at 10pm, on Gradescope.

• Gradescope instructions
• Problem Set 1 (due W 2/1 by midnight) / answer key (final answers only)
• Problem Set 2 (due F 2/3 by midnight) / answer key
• Problem Set 3 (due W 2/8 by midnight) / answer key
• Problem Set 4 (due F 2/10 by midnight) / answer key (ignore #21 on answer key)
• Problem Set 5 (due W 2/15 by midnight) / answer key
• Problem Set 6 (due F 2/17 by midnight) / answer key
• Problem Set 7 (due W 2/22 by midnight) / answer key
• Midterm 1 material ends here.
• Problem Set 8 (due W 3/1 F 3/3 by midnight) / answer key
• Problem Set 9 (due W 3/8 Th 3/9 by midnight) / answer key
• Problem Set 10 (due F 3/10 at midnight) / answer key
• Problem Set 11 (due W 3/22 at midnight) / answer key
• Problem Set 12 (due F 3/24 at midnight) / answer key
• Problem Set 13 (due W 3/29 at midnight) / answer key
• Midterm 2 material ends here.
• Problem Set 14 (due F 4/7 at midnight) / answer key
• Problem Set 15 (due F 4/14 at midnight) / answer key
• Problem Set 16 (due W 4/19 F 4/21 at midnight) / answer key (ignore #12 on this key)
• Problem Set 17 (due W 4/26 at midnight) / answer key
• Problem Set 18 (due F 5/5 at midnight) / answer key
• Problem Set 19 (due Tu 5/9 at midnight) / answer key

Exams

There will be three midterms and a three hour final exam. Further information and sample exams will be posted here.

• Midterm 1 will be in class on Friday 2/24.
  • Exam / Solutions
  • You are allowed a one page notesheet, front and back, so that you don’t need to memorize formulas. Put some time into it – deciding what to put on the note sheet is a very useful study process!
  • Coverage: anything covered in class up to and including Friday 2/17 (Sections: 6.5, 6.6, 6.8, 7.1, 7.2, 7.3)
  • Review packet / Solutions (thanks to D. Benedetto!)
  • Practice exams: Fall 2022, Fall 2021, Spring 2018 (skip 1(c), 2(a)), Spring 2017
    • Solutions video for the Fall 2022 exam, with some comments.
    • Written solutions for practice exams: Fall 2022, Fall 2021, Spring 2018, Spring 2017
• Midterm 2 will be in class on Friday 3/31.
  • Exam / Solutions
  • You are allowed a one page notesheet, front and back, so that you don’t need to memorize formulas. Put some time into it – deciding what to put on the note sheet is a very useful study process!
  • Coverage: anything covered from Monday 2/20 to Friday 3/24 (Sections: 7.4, 7.8, and 11.1-7).
  • Review packet / Solutions
  • Practice exams: Spring 2020 (skip 1(e)), Fall 2020, Fall 2022 (this one was take-home, and longer than usual)
    • Solutions to practice exams: Spring 2020, Fall 2020, Fall 2022
• Midterm 3 will be in class on Friday 4/28.
  • Exam / Solutions
  • You are allowed a one page notesheet, front and back, so that you don’t need to memorize formulas. Put some time into it – deciding what to put on the note sheet is a very useful study process!
  • Coverage: anything covered from Monday 3/27 to Friday 4/21 (Sections: 11.8-11), i.e. power series, Taylor series, and applications.
  • Review packet / Solutions
  • Practice exams: Spring 2021 (skip #9) (was take-home; longer), Fall 2021, Spring 2022 (skip #7)
    • Solutions: Spring 2021, Fall 2021, Spring 2022
• The final exam will be on Tuesday 5/16, 2pm-5pm, in SCCE E210.
  • Exam / Solutions
  • You are allowed a one page notesheet, front and back, so that you don’t need to memorize formulas. Put some time into it – deciding what to put on the note sheet is a very useful study process!
  • Coverage: Cumulative, i.e. all material from Midterms 1 through 3, plus parametric and polar coordinates.
  • Review packet on material after Midterm 3 / Solutions
  • Practice exams: Spring 2022, Spring 2021, Fall 2019 (skip #10), Spring 2018
    • Solutions: Spring 2022, Spring 2021, Fall 2019, Spring 2018
  • You can also find additional old finals (with solutions) at my 2018 course page, but be aware that topic coverage was slightly different then. Feel free to ask if you are unsure whether a specific topic was covered this semester.