# Math 1300 Recitation

## Midterm 3 study guide

Once we talk about it, I will post (here) the content-specific outlines that we come up with in recitation.

section | study outline |
---|---|

006 Pedro Berrizbeitia | |

010 Ira Becker | |

011 Jordan DeBeau | |

013 Michael Roy |

### Practice problems

problems | solutions | source | comment |
---|---|---|---|

recitation supplement | (solutions embedded) | Spivak, et al. | Thought-provoking. |

general review | solutions | Lee Roberson | Comprehensive. |

optimization review | solutions | Lee Roberson | For drilling. |

L’Hôpital review | solutions | Noah Williams | For drilling. |

## Week 11: Optimization

### Mid-semester survey

Please take this survey before Thursday, April 4th.

### Post-break refresher

You may find it useful to brush up on the material that was covered just before Spring Break. I recommend reviewing the following notes (from Kevin Mitchell, Math 130, Fall 2016).

- Optimization and the Single Critical Point Theorem
- Concavity and the Second Derivative Test
- The Increasing/Decreasing Function Theorem and the First Derivative Test

Soft advice:

- Perhaps start with 1, but if 1 doesn’t make sense, then look at 2.
- If both 1 and 2 don’t make sense, then 3 should help with 2, and 2 should help with 1.
- Alternatively, try a couple problems from this practice exam PracTest3A (again from Kevin Mitchell) and compare the solutions at the back of the exam to your own work.

## Week 10: Graphing with and without Sage

Sage cell server

Problems

- Sketch \(f(x) = 3x^4 - 8x^3 + 6x^2\) on \([-1.5,2.5]\). (solution)
- Sketch \(f(x) = x^\frac{1}{3}(x+4)\) on \([-3, 3]\). (solution)

Resources

- Graphing, Vipul Naik,
*Math-152 lecture notes* - Sage for Undergraduates, Gregory Bard
- Sage Calculus Quickref, William Stein

## Midterm 2 study guide

### Reading suggestions

Do try to refresh yourselves on the *examinable material* in Stewart’s Calculus and Contexts (4e).

- 2.7 The Derivative of a Function
- 2.8 What does \(f'\) say about \(f\)?
- 3.1 Derivatives of Polynomials
- 3.1 Derivatives of Exponential Functions
- 3.2 Product and Quotient Rules
- 3.3 Derivatives of Trig Funtions
- 3.4 The Chain Rule
- 3.5 Implicit Differentiation
- 4.1 Related Rates

(If you haven’t already, it’s not too hard to find a `.pdf`

of the textbook online. Hint: have you read the wikipedia entry on Library Genesis?)

The following sections are (highly likely) non-examinable.

- 3.6 Inverse Trigonometric Functions and Their Derivatives
- 3.7 Derivatives of Logarithmic Functions
- 3.8 Rates of Change in the Natural and Social Sciences
- 3.9 Linear Approximations and Differentials

### Practice problems

study materials | source | comment |
---|---|---|

MATH 1300 recitation projects | Lee Roberson | Should be familiar. |

MATH 1300 lecture notes | Sarah Salmon | Do you need to catch up? |

MATH 1300 exam problems | Lee Roberson | Conceptual. |

APPM 1350 exam archive | Applied Math | Do you want to take a timed practice exam? |

Take a look at homework 6 solutions (from Hunter Davenport).

If you can stomach a timed practice exam, then go find an “exam 2” in the APPM 1350 exam archive.

It’s harmless to skip problems that you have never seen before.

Wait, why recommend skimming through calculus exams from APPM?

Well, because, since 2010-ish,

*most all*of the APPM undergraduate courses have \(\mathrm\TeX\)’d exams (i.e., exams that are nicely typed up) with solutions available online.

Lastly, should you review your own notes? (Do you have unanswered questions from lecture?)

## Week 1: What is recitation?

- “The repetition of a prepared lesson or exercise; an examination on something previously learned or explained.” (OED 2nd ed.)
- “A safe space in which asking questions for clarification on big ideas, their applications, and specific problems is encouraged.” https://uaap.mit.edu/tutoring-support/study-tips/maximizing-lectures-recitation/optimizing-recitations
- “Work on projects in small groups with several of your classmates.” https://math.colorado.edu/math1300/1300projects.html

### Grades

Thursday recitations account for 15% of the total grade in MATH 1300.

assessment | portion of total grade |
---|---|

written homework | 10% |

participation | 5% |

### Written homework policy

**TL;DR:** You will be graded on your mathematical writing. You need to turn in your assignment at the *start* of recitation.

Here are Lee Roberson’s goals for the written homework:

- You will be assigned several conceptual problems each week, [which will be due on Thursdays to your Teaching Assistant.]
- You are expected to write up complete, legible, and logical solutions to these problems.
- Each problem should be written using complete sentences to explain your steps.
- You may work together on homework to understand the problems and even to solve them (in fact, we recommend it).
- However, when you write up your solutions, this should be done independently, and in your own words. If you are wondering if you crossed the line, ask yourself “Could I start over and redo this on my own, and would it basically look like this?” If not, then you are submitting someone else’s work.
- Late homework will not be accepted, but your lowest two homework scores will be dropped.

This is my policy on collaboration:

If you collaborate with other students, cite that on your homework submission. If you get help at office hours, cite that on your homework submission. If you get help from outside internet sources, cite that on your homework submission.

Here is a warning from Dave Rosoff to complete the *entire* assignment.

I will assign more [than twice] as much homework as I will grade. You might decide this means that if you don’t do most of it, I will never know. This is true in at most a limited sense: when the exam comes, I will probably find out whether you have been completing the homework or not.

My goal is as follows: Every student who successfully completes all of the homework problems and

understands all the solutionsshould be able to earn an A in this course. The exams are designed with this in mind. Therefore, I hope you will agree that it is in your very best interest to complete all of the assigned work, regardless of whether it is graded for credit.

Here is another warning (again from Dave Rosoff).

You are encouraged to work with other students on solving the problems, or talk to me during office hours. However, the work you submit must be your own. In particular, taking solutions from any online sources is plagiarism. I am not interested in reading plagiarised solutions. It is OK to look online and in other books for discussions that may help you in your thinking. However, if you encounter discussion of what is evidently the exact problem you are solving (for all of these problems are very well known),

the honorable action is to stop reading. If you cannot solve one or more of the problems, it is dishonest to take a solution from elsewhere.The honorable action is to submit no solution.

### About the TA

Colton Grainger. He/him pronouns. To be addressed as “Colton” please. Pronunciation.

### Contact information

Please be aware:

contact | how to access |
---|---|

Colton’s MARC hours | Mon 5–6p, Wed 6–8p, in MATH 175 |

find a time to meet | https://meetme.so/coltongrainger |

email me | colton.grainger@colorado.edu |

raise a complaint | lee.roberson@colorado.edu |

leave anonymous feedback | https://math.colorado.edu/feedback |

## Week 0: Benediction

Calculus is the canonical entry to undergraduate mathematics.

We all want you to win.

From Richard Hamming at Bellcore, March 7th, 1986:

Therefore, go forth and become great scientists!