Math 1110, Jim Belk
Cornell University

**Course:** Math 1110, Section 08, Fall 2021

**Time & Place:** MWF 12:25 – 1:15 pm in Malott 207

**Instructor:** Jim Belk (jmb226@cornell.edu)

**Office Hours:**

- This Sunday 2–6 pm in Malott 224
- This Monday 4–6 pm in Malott 230

**Links:** Textbook, gradescope

**General Math 1110 Information:**

- Course Czar: Brock Schmutzler (bas386@cornell.edu)
- Assistant Czar: Yun Liu (yl2649@cornell.edu)
- Canvas Page: canvas.cornell.edu/courses/30337

- Sunday 7:30–9:45 pm in RPCC 220 (Robert Purcell)
- Monday 7:30–9:45 pm in RPCC 103 (Robert Purcell)

**Math Support Center:** The Math Support Center (MSC) in Malott 256 offers free, drop-in tutoring Monday to Thursday from 10:00 am to 4:30 pm, as well as Wednesday and Thursday evenings. No appointment is required.

- Homework 10 (Canvas, gradescope)

- Sunday, 2 pm – 6 pm in Malott 224
- Monday, 4 pm – 6 pm in Malott 230

- • Your Cornell ID card
- • Your 4" × 6" notecard (see below)
- • Pens and/or pencils for writing

- • It must be hand-written. You can write on both the front and back.
- • Put your name on your notecard—it will be collected when you turn in your exam.

- • 3.5 Derivatives of Trigonometric Functions
- • 3.6 The Chain Rule
- • 3.7 Implicit Differentiation
- • 3.8 Derivatives of Inverse Functions and Logarithms
- • 3.9 Inverse Trigonometric Functions
- • 3.10 Related Rates
- • 3.11 Linearization and Differentials
- • 4.1 Extreme Values of Functions on Closed Intervals
- • 4.2 Mean Value Theorem
- • 4.3 Monotonic Functions and the First Derivative Test
- • 4.4 Concavity and Curve Sketching

- Study Guide: More Derivatives
- Study Guide: Inverse Trig and Related Rates
- Study Guide: Derivatives and Graphs
- Study Guide: The Mean Value Theorem
- Study Guide: Second Derivatives

- Homework 9 (Canvas, gradescope)

- Homework 8 (Canvas, gradescope)

- Homework 7 (Canvas, gradescope)

- Homework 6 (Canvas, gradescope)

- Homework 5 (Canvas, gradescope)

- • Your Cornell ID card
- • Your 4" × 6" notecard (see below)
- • Pens and/or pencils for writing

- • It must be hand-written. You can write on both the front and back.
- • Put your name on your notecard—it will be collected when you turn in your exam.

- • 2.1 Rates of Change and Tangent Lines to Curves
- • 2.2 Limits of Functions and Limit Laws
- • 2.4 One-Sided Limits
- • 2.5 Continuity
- • 2.6 Limits Involving Infinity; Asymptotes of Graphs
- • 3.1 Tangent Lines and the Derivative at a Point
- • 3.2 The Derivative as a Function
- • 3.3 Differentiation Rules

- Section 2.2 # 51, 53, (55)
- Section 2.4 # 47, 49
- Section 3.3 # 53, 65, (71)

- Study Guide: Functions
- Study Guide: Exponents and Logarithms
- Study Guide: Trigonometry
- Section 2.1 suggested problems: # 1, 3, 5, 19, 25
- Study Guide: Limits (2.2 and 2.4)
- Study Guide: Continuity and Limits Involving Infinity (2.5 and 2.6)
- Exercises: Derivatives
- Study Guide: Derivatives (3.1 and 3.3)

- Monday 4:45 – 6:00 pm in Malott 253 (Review 1A)
- Monday 6:00 – 7:15 pm in Malott 253 (Review 1B)
- Wednesday 2:45 – 4:00 pm in Malott 253 (Review 1B)
- Wednesday 6:00 – 7:15 pm in Malott 253 (Review 1A)

- Homework 4 (Canvas, gradescope)

- Homework 3 (Canvas, gradescope)

- Homework 2 (Canvas, gradescope)

In addition, here are some suggested exercises from Section 2.1:

- Section 2.1 # 1, 3, 5, 19, 25

- Homework 1 (Canvas, gradescope)

- Homework 0 (Canvas, gradescope)

- Benjamin Braun,
*The Secret Question (Are We Actually Good at Math?)* - Louis Deslauriers et al.,
*Measuring Actual Learning Versus Feeling of Learning in Response to Being Actively Engaged in the Classroom*

- YouTube – Submitting PDF Homework (in gradescope)
- Instructions: How to use gradescope to submit assignments

- Section 1: Mondays 4:45 – 6:00 pm
- Section 2: Wednesdays 2:45 – 4:00 pm

You can access the online textbook by clicking on the Instant Access – VitalSource tab in Canvas. Please note that all students are automatically opted-in to the instant access program by default. If you do not intend to use the online textbook, you must click on Instant Access – VitalSource and choose to opt-out. **If you do not opt-out before September 16, 2021, your bursar account will be charged.** You have free trial access to the online textbook until Sept. 16. You do not need to use the online textbook, a physical copy would work fine.

Homework | 30% |

Section | 10% |

Exams | 60% |

Precise letter grade cut-offs will only be determined at the end of the semester after all scores have been recorded. However, students with an overall weighted average of 90% or higher will get at least an A−, students with an overall weighted average of 80% or higher will get at least a B−, and students with an overall weighted average of 70% or higher will get at least a C−.

*Working Together:* You are encouraged work together on homework sets, provided such collaboration does not involve possessing a copy of (all or part of) the work done by someone else, in any form (e.g., paper copy, email, text, tweet, Word doc, Box file, Google sheet). **If you work in a group, you should give credit to your collaborators by putting their names on your assignment, in addition to your own name.** Students involved with a copying violation (those who gave as well as received) will be given a zero for the assignment.

*Homework Grading:* Some homework problems will be graded for completion, and the others will be graded for correctness. Each completion problem will be graded on a 0-1-2 point scale, while the other homework problems will be graded for correctness on a 0-1-2-3-4 point scale. Also, each homework set will be graded on a 0-1-2 point scale for the overall clarity and presentation of your solutions. Please read this short document by Francis Su for some tips for good mathematical writing.

*Homework Average:* Your lowest homework score will be dropped to compensate for unexpected circumstances that prevent you from completing an assignment (e.g., illness, bad luck). After your lowest homework score is dropped, the average of your percentage scores on each assignment will contribute 30% to your final grade.

- Prelim 1: Thursday, October 7, 7:30 – 9:00 pm
- Prelim 2: Tuesday, November 16, 7:30 – 9:00 pm
- Final Exam: T.B.A.

*Exam Weighting:* The exams will count for 60% of your final grade, which will be distributed as follows:

Your Highest Exam Grade | 30% |

Your Lowest Prelim Grade | 10% |

Your Remaining Exam Grade | 20% |

Note that your final exam grade will always count for at least 20%. It's only the lower of your two prelim grades that will count 10%.

- • Share their unique experiences, values, and beliefs.
- • Be open to the views of others.
- • Honor the uniqueness of their colleagues.
- • Appreciate the opportunity that we have to learn from each other in this community.
- • Value each other's opinions and communicate in a respectful manner.
- • Keep confidential discussions (of a personal or professional nature) within the community.
- • Use this opportunity together to discuss ways in which we can create an inclusive environment in this course and across the Cornell community.

This schedule might change slightly as the semester unfolds.

Week | Topics | Assignments |
---|---|---|

Aug. 27 | Introduction Ch 1 Review of Functions |
Read syllabus |

Aug. 30 – Sept. 3 | 2.1 Rates of Change and Tangent Lines to Curves 2.2 Limits of Functions and Limit Laws |
HW 0 due Sept. 1 |

No class Sept. 6 (Labor Day) |
||

Sept. 8 – Sept. 10 | 2.4 One-Sided Limits 2.5 Continuity |
HW 1 due Sept. 8Quiz 1 Sept. 10 |

Sept. 13 – Sept. 17 | 2.6 Limits Involving Infinity; Asymptotes of Graphs 3.1 Tangent Lines and the Derivative at a Point |
HW 2 due Sept. 15Quiz 2 Sept. 17 |

Sept. 20 – Sept. 24 | 3.2 The Derivative as a Function 3.3 Differentiation Rules 3.4 The Derivative as a Rate of Change |
HW 3 due Sept. 22Quiz 3 Sept. 24 |

Sept. 27 – Oct. 1 |
3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation |
HW 4 due Sept. 29Quiz 4 Oct. 1 |

Oct. 4 – Oct. 8 |
3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions |
Prelim 1 Oct. 7 |

No class Oct. 11 (Fall Break) |
||

Oct. 13 – Oct. 15 | 3.10 Related Rates Catch Up |
HW 5 due Oct. 14 (Thursday) |

Oct. 18 – Oct. 22 |
3.11 Linearization 4.1 Extreme Values of Functions on Closed Intervals |
HW 6 due Oct. 20Quiz 5 Oct. 22 |

Oct. 25 – Oct. 29 | 4.2 The Mean Value Theorem 4.3 Monotonic Functions and the First Derivative Test |
HW 7 due Oct. 27Quiz 6 Oct. 29 |

Nov. 1 – Nov. 5 | 4.4 Concavity and Curve Sketching 4.5 Indeterminate Forms and L'Hopital's Rule |
HW 8 due Nov. 3 |

Nov. 8 – Nov. 12 | 4.6 Applied Optimization 4.8 Antiderivatives |
Quiz 7 Nov. 8HW 9 due Nov. 10 |

Nov. 15 – Nov. 19 | 5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums |
Prelim 2 Nov. 16 |

Nov. 22 | 5.3 The Definite Integral | — |

No class Nov. 24 – Nov. 26 (Thanksgiving) |
||

Nov. 29 – Dec. 3 | 5.4 The Fundamental Theorem of Calculus 5.5 The Substitution Rule (Optional) |
HW 10 due Dec. 1Quiz 8 Dec. 3 |

Dec. 6 | Catch Up and Review | Final Exam T.B.A. |