**Math 20C · Section B · Fall 2020 Calculus and Analytic Geometry**

**· contact information ·**

**instructor ·** David Stapleton
**email ·** dstapleton@ucsd.edu
**office hours ·** Tue 8-9am, 4-5pm (see Canvas for zoom info)

**TA ·** Sawyer Robertson
**email ·** s5robert@ucsd.edu
**office hours ·** Mon 9-10am, Wed 9-10am (see Canvas for zoom info)
**sections ·** 1 & 2

**TA ·** Nicholas Zhao
**email ·** nizhao@ucsd.edu
**office hours ·** Fri 11-noon, 2-3pm (see Canvas for zoom info)
**sections ·** 3 & 4

**TA ·** Ryan Mike
**email ·** rmike@ucsd.edu
**office hours ·** Thu 9-11am (see Canvas for zoom info)
**sections ·** 5 & 6

**SI ·** Khoi Le
**email ·** knl018@ucsd.edu
**times ·** Mon 12-1pm, Wed 12-1pm, Fri 12-1pm (see Canvas for zoom info)

**· schedule ·**

Monday | Wednesday | Friday |
---|---|---|

·9/28· No class. |
·9/30· No class. |
·10/2· First day of class.§1.1 Vectors in 2D and 3D. Notes |

·10/5· §1.2 The inner product, length, and distance. Notes |
·10/7· Practice Quiz.§1.2 The inner product, length, and distance. Notes |
·10/9· §1.3 Matrices, determinants, and the cross product. Notes |

·10/12· §1.3 Matrices, determinants, and the cross product. NotesHomework 1 due. |
·10/14· Quiz #1.§1.3 Matrices, determinants, and the cross product. Notes |
·10/16· §2.1 The geometry of real-valued functions. Notes |

·10/19· §2.2 Limits and continuity. Notes |
·10/21· Quiz #2.§2.3 Differentiation. Notes Homework 2 due. |
·10/23· §2.3 Differentiation. Notes |

·10/26· §2.4 Intro to paths and curves. Notes |
·10/28· §2.5 Properties of the derivative. NotesHomework 3 due. |
·10/30· §2.5 Properties of the derivative. Notes |

·11/2· Election Day's Eve.Quiz #3. §2.6 Gradients and directional derivatives. Notes Homework 4 due. |
·11/4· §2.6 Gradients and directional derivatives. Notes |
·11/6· §3.1 Iterated partial derivatives. Notes |

·11/9· Quiz #4. §3.3 Extrema of real-valued functions. Notes |
·11/11· No class. Veterans Day. |
·11/13· §3.3 Extrema of real-valued functions. NotesHomework 5 due. |

·11/16· §3.4 Constrained extrema and Lagrange multipliers. Notes |
·11/18· Quiz #5.§3.4 Constrained extrema and Lagrange multipliers. Notes Homework 6 due. |
·11/20· §3.4 Constrained extrema and Lagrange multipliers. Notes |

·11/23· §4.1 Acceleration and Newton's second law. Notes |
·11/25· §4.2 Arc length. NotesHomework 7 due. |
·11/27· No class. Thanksgiving Holiday. |

·11/30· §5.1 Intro to double and triple integrals. Notes |
·12/2·Quiz #6. §5.2 The double integral over a rectangle. Notes |
·12/4· §5.3 The double integral over more general regions. Notes |

·12/7· §5.4 Changing the order of integration. NotesHomework 8 due. |
·12/9·Quiz #7. §5.4 Changing the order of integration. Notes |
·12/11· §5.5 The triple integral. Notes |

·12/14· No class. Finals week.Homework 9 due. |
·12/16· No class. Finals week. |
·12/18· Final Exam. Practice Final |

**· academic integrity ·**

Violations of UCSD's academic integrity policies will be addressed using internal measures (e.g., asking students to defend their work orally, zeroing out affected homework or exam scores) and/or UCSD administrative measures at the professor's discretion. If you suspect a violation of academic integrity, please bring it to the attention of the professor and/or TA immediately.

**On a personal note ·** As an instructor I view the purpose of evaluation is twofold: (1) to provide feedback to the student so that they can learn, and (2) to indicate the level of mastery of the material to the university and the outside world. Especially during this pandemic I believe (2) is almost an absurdity - given the variances in financial circumstances, job security, personal location, health, family responsibilites, etc... Due to these realities, my goal for evaluation this quarter is to provide feedback. To do this, we are having many low stake assessments in the course with the option of dropping a number of grades. I hope that this form of feedback lowers the desire to cheat in this class and encourages learning over competition.

**· course information ·**

**course description ·** Math 20C is the third quarter course in calculus for students majoring in Mathematics, Engineering and the sciences. Math 20C introduces vectors and three-dimensional geometry and covers multivariable differential calculus with an introduction to multiple integrals.

**prerequisites** · Math 20B, an AP Calculus BC score of 4 or above, or the consent of instructor.

**WebAssign** · There is (soon to be!) a link to our WebAssign course on the Canvas site for our class. You are required to purchase WebAssign access for the quarter. Here are two possible ways to purchase access [link 1, link 2]. Both of these methods come witha copy of the textbook (a paper version and an electronic version respectively).

There are other ways to get WebAssign access. One can go directly through WebAssign or Cengage which could possibly be cheaper. But you are responsible to make sure you are purchasing the correct access this way.

**textbook ·** The recommended book is *Vector Calculus*, 6th edition by Marsden and Tromba. This can be ordered through link 1 or link 2 from the WebAssign section. I do not require a textbook for the course. Another good option to consider is to buy an older version of the book to study out of. Older versions can be significantly cheaper!

**grading scheme ·** Your grade in this course will have two components: quizzes and homework. Your final grade will be computed as follows:

**final grade=40%(homework score)+60%(quiz score).**

After your grade is calculated, your letter grade will be calculated, based on a scale. The following grades are guaranteed:

**A ≥ 93%, B ≥ 83%, C ≥ 73%, D ≥ 63%.**

However, it is possible that I will change the grading scale to be more lenient.

**homework ·** There will be weekly homework assignments through WebAssign. Your lowest homework score will be dropped and all the other homework assignments will count equally towards your homework score.

**quizzes ·** (If you are taking the class asynchronously, see below.) There will be in-class quizzes throughout the quarter. These will be administered partially through Canvas and partially through our Gradescope site. The final exam will count as 2 quizzes and will be twice as long. There are 9 total quiz scores Quiz 1, ... , Quiz 7, and the final exam counting as 2 quizzes.

The easiest way to calculate your quiz score is to think of your final as 2 quizzes with identical percentages, and then your quiz score is the average of your top six quiz percentages. In other words, there are three possibilities for your quiz score:

• (quiz score #1) = avg. of top 6 quiz percents.

• (quiz score #2) = 5/6(avg. of top 5 quiz percents) + 1/6(final quiz percent).

• (quiz score #3) = 2/3(avg. of top 4 quiz percents) + 1/3(final quiz percent).

Whichever score is higher will be your quiz score. So if you receive 100% on 6 quizzes you will receive 100% for your quiz score. Or if you receive 100% on 4 quizzes and 100% on the final you will receive 100% for your quiz score.

**asynchronous quizzes · **If you are taking the class asynchronously, you will take a different version of the quiz which will be posted for you on Canvas.