Math 20B

Calculus 2 for Science and Engineering

Fall 2018

Announcements: The final exam is on Friday from 3-6pm.

Here is the practice Final. Here are the solutions

David will hold office hours from 11:30-1:30 on Monday and 12:00-2:00 on Wednesday.

Jacques will hold office hours from 12:00-4:00 on Wednesday.

Lesheng will hold office hours from 12:00-4:00 on Thursday and 12:00-2:00 on Friday.

Joseph will hold office hours from 11:00-1:00 on Friday in B402A.



Schedule: MWF 3:00-3:50pm
Location: Solis 107
Instructor: David Stapleton
Email: dstapleton@ucsd.edu
Office Hours: Monday, 11:30am-1:30pm
Office: AP&M 5880D (located in the "annex", which is connected via a bridge to the main building)

TA: Jacques Coulombe
Discussion Section Numbers: 1&2
Discussion Location: WLH 2114
Email: jcoulomb@ucsd.edu
Office Hours: Tuesday, 2pm-4pm
Office: AP&M 5412

TA: Joseph Gilby
Discussion Section Numbers: 3&4
Discussion Location: York 4080A
Email: jgilby@ucsd.edu
Office Hours: Tuesday, 4pm-5pm & Wednesday, 12pm-1pm
Office: AP&M 5218

TA: Lesheng Wang
Discussion Section Numbers: 5-8
Discussion Location: WLH 2114
Email: lew029@ucsd.edu
Office Hours: Monday, 12pm-2pm & Wednesday, 1pm-2pm & 5pm-6pm
Office: AP&M 2313

Supplemental Instructor: Amy Li
Time & Location: Monday & Wednesday at 6pm in TLC 1504, Friday at 1pm in TLC 1505

Calendar:

Week Monday Wednesday Friday
9/24-9/28 No Class. No Class. Review Day.
10/1-10/5 § 5.6. Net Change.
HW1 due at 5pm.
§ 5.7. Substitution. § 6.1. Area.
HW2 due.
10/8-10/12 § 6.2. Volume. § 6.3. Solids of Revolution. § 7.1. Integration by Parts.
HW3 due.
10/15-10/19 § 11.3. Polar Coordinates. § 11.4. Area of Polar Regions. § S.1, S.2. Complex Numbers
HW4 due.
10/22-10/26 § S.2, S.3. Complex Exponential. Midterm 1.
Practice Midterm.
§ 7.2, 7.4. Trigonometric and Hyperbolic Integrals.
10/29-11/2 § 7.5, S.4, S.5. Partial Fractions.
HW5 due at 5pm.
§ 7.5. Partial Fractions. § 7.3. Trig Substitution.
HW6 due at noon.
11/5-11/9 § 7.7. Improper Integrals. § 7.7. Improper Integrals. § 10.1. Sequences.
HW7 due at noon.
11/12-11/16 No Class
Veterans Day
Midterm 2.
Practice Midterm.
§ 10.2. Infinite Series.
11/19-11/23 § 10.2. Infinite Series.
HW8 due at 5pm.
§ 10.3. Positive Series. No Class.
Thanksgiving Break.
11/26-11/30 § 10.4. Absolute Convergence.
HW9 due at 5pm.
§ 10.5. Ratio and Root Test. § 10.6. Power Series.
Suggested Exercises.
(not graded)
12/3-12/7 § 10.6. Power Series. § 10.7. Taylor Series. § 10.7. Taylor Series.
HW10 due at noon.
12/10-12/14 No Class. Study study study. No Class. Study study study. Final Exam.
3-6pm.
Practice Final.
Practice Final Solutions.





Syllabus: This website acts as our syllabus. You can download a pdf copy here.

Textbook: The textbook for this course is Rogawski & Adams, Calculus - Single Variable - Early Trancendentals, 3rd Edition. We will also use the Math 20B Student Supplement.

Prerequisites: AP Calculus AB score of 4 or 5, or AP Calculus BC score of 3, or Math 20A with a grade of C- or better, or Math 10B with a grade of C- or better, or Math 10C with a grade of C- or better.

Grades: There are three methods to compute your grade. Your grade will be determined using each method, and then the best grade will be used.

• 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.

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

Catalog Description: Integral calculus of one variable and its applications, with exponential, logarithmic, hyperbolic, and trigonometric functions. Methods of integration. Infinite series. Polar coordinates in the plane and complex exponentials.

Course Readings: In this course it is important to read the section in the textbook before coming to class. Make this a habit! The lecture time is limited and class involvement is somewhat restrained by the size of the class. Reading the appropriate section of the book prior to lecture will help you make the best use of your time in lecture.

Homework: Homework is probably the part of the course that will most affect your comprehension of calculus. There will be no online homework in this course. All homework will be done with pen/pencil and paper and will be handed in on Gradescope.

Homework will be assigned roughly weekly and will usually be due on Fridays at noon. Homework will be posted to the course calendar, and on Gradescope. If for some reason this changes I will announce it in class, on the course website (under announcements) and the change will be reflected on the calendar.

Each problem assigned will be worth 1 homework point, and your total homework score will be the sum of all the homework points you received. There will be partial credit given. We will NOT drop any homework assignments at the end of the semester. Do your best!

You can get help with the textbook homework in TA office hours, or in the course Piazza site, or in the Calculus Tutoring Lab. You can also work on problems with your classmates, but everything you turn in must be original work.

Late Homework: Late homework will not be accepted.

Electronic Computing Devices: Graphing calculators and computer programs (or online computing websites such as Wolfram|Alpha) can be very helpful when working through your homework. However, a calculator/computer should be used as an aid in the learning concepts, not just as a means of computation. You should use these devices when working on math problems at home, but always keep in mind that you will not be allowed access to any electronic computing devices during exams. Of course, this also means that you will not be asked to solve problems on exams that require the aid of an electronic computing device.

The use of electronic devices is not permitted during exams.

Exams: There will be two midterm exams and a final exam. Check the Course Calendar for the dates of the exams.

You may use one 8.5 x 11 inch sheet of handwritten notes. You may use both sides. (No photocopies!)

No calculators or electronic devices may be used during the examinations.

Bring your student ID to the exams. We will not be using Blue Books for exams this quarter.

Final Exam: It is your responsibility to ensure that you do not have a schedule conflict involving the final examination.

You should not enroll in this class if you cannot sit for the final examination at its scheduled time.

You must pass the final exam ( >59% ) in order to pass the class. (The actual required percentage may be lowered, depending on overall class performance.)

Make-up Exams: Make-up exams will not be given. If you miss a midterm exam for any reason, then your course grade will be computed using Method 2. (See above.)