Math 20C

Calculus and
analytic geometry

Fall 2019

Announcements: The final exam is Friday, December 13th from 3pm-6pm. Here is the practice final. Here are some old finals from previous incarnations of 20C (Final1, Final2, Final3).

During finals week David will have office hours from 1pm-3pm on Monday and Wednesday.

Gary will hold office hours from 6pm-8pm on Tuesday, Wednesday, and Thursday in AP&M 5402

Patrick will hold a review session from 5pm-7pm on Tuesday in AP&M B402A and will hold office hours from 1pm-3pm on Thursday in AP&M 5412.

There is walk-in tutoring available through the Teaching+Learning Commons. Information is in this flyer.

Schedule: MWF 3:00-3:50pm
Class Location: Pepper Canyon Hall 109

Instructor: David Stapleton
Email: dstapleton@ucsd.edu
Office Hours: Mon 1-2pm, Wed 1-2pm
Office: AP&M 6432

TA: Patrick Girardet
Sections: 1, 2, 5, 6
Email: pgirarde@ucsd.edu
Office Hours: Tues: 12:30-2:30pm, Thurs: 12:30-2:30pm
Office: AP&M 5412

TA: Gary Peng
Sections: 3, 4
Email: g1peng@ucsd.edu
Office Hours: Tues: 5-6pm, Thurs: 6-7pm
Office: AP&M 5218

SIL: Meghedi Zargarian
Mon: 4:00-4:50pm @Center Hall 316
Wed: 4:00-4:50pm @Center Hall 316
Fri: 10:00-10:50am @Teaching+Learning Commons 1504

Calendar (HW links can be clicked!):

Monday Wednesday Friday
9/23. No class. 9/25. No class. 9/27. §1.1 Vectors in 2D and 3D
9/30. §1.2 The Inner Product, Length, and Distance.
HW1 due.
10/2. §1.2 The Inner Product, Length, and Distance. 10/4. §1.3 Matrices, Determinants, and the Cross Product.
10/7. §1.3 Matrices, Determinants, and the Cross Product.
HW2 due.
10/9. §1.3 Matrices, Determinants, and the Cross Product. 10/11. §2.1 The Geometry of Real-Valued Functions.
10/14. §2.2 Limits and Continuity.
HW3 due.
10/16. §2.3 Differentiation. 10/18. §2.3 Differentiation.
10/21. §2.4 Intro to Paths and Curves.
HW4 due (solutions).
10/23. Midterm 1 (solutions). Practice Midterm (solutions). 10/25. §2.5 Properties of the Derivative.
10/28. §2.6 Gradients and Directional Derivatives.
HW5 due (solutions).
10/30. §2.6 Gradients and Directional Derivatives. 11/1. §3.1 Iterated Partial Derivatives.
11/4. §3.3 Extrema of Real-Valued Functions.
HW6 due (solutions).
11/6. §3.3 Extrema of Real-Valued Functions. 11/8. §3.4 Constrained Extrema and Lagrange Multipliers.
11/11. No class. Veterans Day. 11/13. §3.4 Constrained Extrema and Lagrange Multipliers.
HW7 due (solutions).
11/15. §4.1 Acceleration and Newton's Second Law.
11/18. §4.2 Arc Length.
HW8 due (solutions).
11/20. Midterm 2 (solutions). Practice Midterm (solutions). 11/22. §5.1 Intro to Double and Triple Integrals.
11/25. §5.2 The Double Integral over a Rectangle.
HW9 due (solutions).
11/27. §5.3 The Double Integral over More General Regions. 11/29. No class. Thanksgiving.
12/2. §5.4 Changing the Order of Integration. 12/4. §5.5 The Triple Integral. 12/6. Final review.
HW10 due.
Practice Final (solutions).

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.

Textbook: Vector Calculus, sixth edition, by Jerrold E. Marsden and Anthony J. Tromba, published by W. H. Freeman and Company (2012).

(This is the same book as the one used in Math 20E. We will use Chapters 1-5 of the text. Math 20E covers almost everything else in this text.)

Homework: Homework is a very important part of the course, and in order to fully master the topics, it is essential that you work carefully on every assignment and try your best to complete every problem. Homework will be due on Mondays at 10pm and will be handed in on Gradescope. You can find the homework assignments on the calendar and on gradescope.

Reading: Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework. Lecture time is very limited and not every subject can be fully discussed in the time allotted for lecture. Thus, you must read the assigned sections of your textbook (and work through the examples) to fully understand the subject. You should expect questions on the exams that will test your understanding of concepts addressed in the reading and assigned homework exercises, whether or not they are discussed in the lecture.

• Method 1. (20% HW)+(20% Midterm 1)+(20% Midterm 2)+(40% Final Exam).
• Method 2. (20% HW)+(20% Best Midterm)+(60% Final Exam).
• Method 3. (25% Midterm 1)+(25% Midterm 2)+(50% Final Exam).

A ≥ 93%, B ≥ 83%, C ≥ 73%, D ≥ 63%.

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

Exams: There will be 3 exams. Two midterms and one final.

First Midterm: The first midterm will be held on October 23rd.
Second Midterm: The second midterm will be held on November 20th.
Final Exam: The final will be held on Friday, December 13th from 3pm-6pm.

Homework Policy: Late homework will not be accepted. At the top of each assignment should appear: