Math 20C · Section C · MWF 1-1:50pm · Spring 2021
Calculus and Analytic Geometry

· contact information ·

instructor · David Stapleton
email · dstapleton@ucsd.edu
office hours · Weds: 10-11am, Thur: 10-11am

TA · Sawyer Robertson
email · s5robert@ucsd.edu
office hours · Mon & Weds: 11am-noon
sections · 1-2

TA · Alexander Schlesinger
email · afschles@ucsd.edu
office hours · Weds & Thur: 2-4pm
sections · 3-6

SI · Khoi Le
email · knl018@ucsd.edu
times · Tues & Thur: 11am-noon, Fri: 3-4pm

email · hsc066@ucsd.edu

· schedule ·

MondayWednesdayFriday
·3/29· First day of class.
§1.1 Vectors in 2D and 3D.
Notes
·3/31· §1.2 The inner product, length, and distance.
Notes
·4/2· §1.2 The inner product, length, and distance.
Practice Quiz.
Notes
Quiz Instructions
·4/5· §1.3 Matrices, determinants, and the cross product.
HW1 due.
Notes
·4/7· §1.3 Matrices, determinants, and the cross product.
Quiz 1.
Notes
·4/9· §1.3 Matrices, determinants, and the cross product.
Notes
·4/12· §2.1 The geometry of real-valued functions.
Notes
·4/14· §2.2 Limits and continuity.
Notes
·4/16· §2.3 Differentiation.
HW2 due.
Notes
·4/19· §2.3 Differentiation.
Notes
·4/21· §2.4 Intro to paths and curves.
Quiz 2.
Notes
·4/23· §2.5 Properties of the derivative.
HW3 due.
Notes
·4/26· §2.5 Properties of the derivative.
Notes
·4/28· §2.6 Gradients and directional derivatives.
HW4 due.
Notes
·4/30· §2.6 Gradients and directional derivatives.
Notes
·5/3· §3.1 Iterated partial derivatives.
Notes
·5/5· §3.3 Extrema of real-valued functions.
Quiz 3.
Notes
·5/7· §3.3 Extrema of real-valued functions.
HW5 due.
Notes
·5/10· §3.4 Constrained extrema and Lagrange multipliers.
Notes
·5/12· §3.4 Constrained extrema and Lagrange multipliers.
HW6 due.
Notes
·5/14· §3.4 Constrained extrema and Lagrange multipliers.
Notes
·5/17· §4.1 Acceleration and Newton's second law.
Notes
·5/19· §4.2 Arc length.
Quiz 4.
Notes
·5/21· §5.1 Intro to double and triple integrals.
HW7 due.
Notes
·5/24· §5.2 The double integral over a rectangle.
Notes
·5/26· §5.3 The double integral over more general regions.
Notes
·5/28· §5.4 Changing the order of integration.
Notes
·5/31· No class. Memorial Day. ·6/2· §5.4 Changing the order of integration.
Quiz 5.
HW8 due.
Notes
·6/4· §5.5 The triple integral.
Notes
·Tuesday 6/8· HW9 due. ·Thursday 6/10· Final Exam. 11:30am-2:30pm.
Practice Final, Old Practice Final, Old Final
No class. Finals week.

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 with a 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 with. Older versions can be significantly cheaper!

A ≥ 93%, B ≥ 83%, C ≥ 73%, D ≥ 63%.

(Plus & minus grades will be filled in at the instructors disgression). It is possible that I will change the grading scale to be more lenient.

taking asynchronously · If you are planning on taking the class asynchronously, you need to email the instructor before the April 5th class saying (1) that you are planning on taking the class asynchronously and (2) why you are taking the class asynchronously (e.g. you are living in a different time zone).

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 · There will be 5 in-class quizzes throughout the quarter. (If you are taking the class asynchronously see also the following section.) These quizzes will be administered primarily through gradescope. Most of this will be explained during our practice quiz in the first week. There are two ways to calculate your quiz score.
• (quiz score #1) = avg. of 5 quiz percents.
• (quiz score #2) = 2/3(avg. of top 4 quiz percents) + 1/3(final exam percent).
Whichever score is higher will be your quiz score. So if you score 100% on the 5 quizzes you do not need to take the final.

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.

final exam · The final exam (unless you are taking the class asynchronously) will take place on Thursday 6/10 from 11:30am-2:30pm. The final exam counts towards (quiz score #2). If you are happy with your (quiz score #1) you do not need to take the final.