MAT 21B - Calculus

MAT 21B Sections C01-C07 - CALCULUS

Winter Quarter 2020, CRN = 62635+i (C0i), i=1,2,3,5,6,7

Time: MWF 11:00AM - 11:50 AM

Lectures take place in SOCSCI 1100

Instructor: Professor Alexander Soshnikov

Office: MSB 3140

Phone: 754-0475 (message only)

Mathematics Department, Office of Student Services: 752-3828

Weekly Homework Assignment: Please visit this page weekly for homework assignments. We use WeBWorks for managing your homework. Please read the instruction below.

I have only one tip for studying Calculus: you cannot do it half-heartedly. You have to devote to this class at least eight hours per week of concentrated attention at home to understand the subject enough so that standard problems become routine. If you think that coming to class and reading the examples while also doing something else is enough, you are in for an unpleasant surprise on the exams.

Weekly Reading Assignment: This page contains announcements, reading assignments, and additional (more theoretical) exercise problems. Please visit this page weekly, and refresh it every time you visit. You are supposed to solve these extra problems, since the exams (midterms and the final) may be based also on them.

FINAL EXAM:

TBA
Students who need a longer period of time to complete his/her exam as determined by the SDC will take the exam in TBA .
In addition, students who take two 21-series finals will also take the exams in TBA from TBA.
The Final Exam is cumulative and covers all the materials taught in the course. However, about 50% of the problems will be devoted to the material covered during the last three weeks of the class.
Bring your student ID.
Calculators, smartphones, iPods, notes, books, etc are NOT allowed.

First Midterm: February 3, in class.

The first midterm examination covers Sections 4.8, 5.1-5.6, 6.1-6.3.
Bring your student ID
The exam problems are based on the homework assignments, contents of the classroom lectures, and the problems listed in the reading assignments.
Midterm 1 solutions.
Trial Midterm 1 with solutions (Problems 1-4). (Problems 5,6,8). (Problems 6,7).
The numeric grades are posted at UCDavis Canvas. The letter grades are given by the following curve: A+ 60 points , A 53-59 points , A- 50-52 points , B+ 48-49 points , B 44-47 points , B- 42-43 points , C+ 40-41 points , C 36-39 points , C- 34-35 points , D+ 32-33 points , D 31 points , D- 30 points , F 0- 29 points.
Calculators, smartphones, iPods, notes, books, etc are NOT allowed.

Second Midterm: February 26, in class.

The second midterm examination covers Sections 6.3-6.6, 7.1-7.2, and 8.1-8.3
Bring your student ID
The exam problems are based on the homework assignments, contents of the classroom lectures, and the problems listed in the reading assignments.
Trial Midterm 2 with solutions

More trial midetrm problems.

The numeric grades are posted at UCDavis Canvas. The letter grades are given by the following curve (to be posted later) A+ points , A points , A- points, B+ points, B points, B- points, C+ points, C points, C- points, D points, D- points, F points.
Calculators, smartphones, iPods, notes, books, etc are NOT allowed.

Text: Thomas' Calculus: Early Transcendentals, 14th edition, by Maurice D. Weir, and Joel Hass, Pearson/Addison Wesley 2018.

We WILL NOT use the Media Upgrade provided by the publisher of the book in our class.

Syllabus We will cover Chapter 4, Section 8, Chapter 5, Sections 1 - 6; Chapter 6, Sections 1 - 6; Chapter 7, Sections 1 - 2; and Chapter 8, Sections 1-8, and Chapter 11, Sections 1-4.

Online Resources for Calculus:

Calculus Textbook by Gilbert Strang. The entire content of this book is available free of charge in the pdf format. The chapters we cover in MAT-21B roughly corresponds to Chapters 5 - 8 of Strang. It is quite handy to carry the whole calculus textbook in your smartphone or iPod.
Calculus on the Web by Gerardo Mendoza and Dan Reich. Their "Calculus Book II" has some contents related to the topics of our course.

Lectures, sections, office hours, and T.A. information:

Section	C01 (CRN 62636)	C02 (CRN 62637)	C03 (CRN 62638)	C05 (CRN 62640)	C06 (CRN 62641)	C07 (CRN 62642)
Lectures	MWF 11:10-11:50am in SocSci 1100 (all sections)
Office Hours (Prof. Soshnikov)	T 11:00 am -11:50 am, R 1:10 pm -2:00 pm in MSB 3140, plus by appointment
Discussion	R 07:10-08:00pm Bainer 1130	R 06:10-07:00pm Olson 251	R 07:10-08:00pm Wickson 1020	R 05:10-06:00pm Wellman 7	R 04:10-05:00pm Storer 1344	R 05:10-06:00pm Wickson 1020
T.A.	Raymond Chou rochou@math.ucdavis.edu	Raymond Chou rochou@math.ucdavis.edu	Haihan Wu hihwu@ucdavis.edu	Haihan Wu hihwu@ucdavis.edu	Hamilton Santhakumar hsanthak@math.ucdavis.edu	Hamilton Santhakumar hsanthak@math.ucdavis.edu
Office Hours (TA)	Tuesday 2-4pm MSB 2117	Tuesday 2-4pm MSB 2117	Monday 2:30-4:30pm MSB 2127	Monday 2:30-4:30pm MSB 2127	Wed noon-2pm MSB 2202	Wed noon-2pm MSB 2202

Communication with the instructor: Due to the large volume of e-mails he receives, the instructor most likely will not be able to reply to your e-mails. Therefore, please use the time before and after the class meeting for a short communication. You are most welcome to visit his office during the office hours. If you have an emergency or if you have suggestions regarding the times for the office hours/midterm exams please email the instructor at soshniko@math.ucdavis.edu. Technical questions regarding to the WeBWork should be addressed to the Teaching Assistant.

Examinations: There will be two midterm examinations and a final exam. Midterm exams will take place in SOCSCI 1100.

First Midterm: February 3
Second Midterm: February 26
Final Examination: ?

Special Notice: No calculators are allowed in any of the exams. No electronic communication devices such as cell phones and portable computers are allowed in these examinations.

Exam problems are based on the homework assignments, reading assignments with sample exercise problems, and problems and examples worked out in class.

No make up examination will be given. If you missed a midterm exam due to circumstances beyond your control, please contact the instructor as soon as possible for a conference. If you have an official excuse on the day of a midterm exam, then please let the instructor know at least a week in advance for arrangement of your grade.

Graded midterm papers are returned in your discussion section. Please attend your designated discussion section to receive your graded exams.

The final examination is comprehensive and covers the whole material of the course. No one can be excused from the final examination on the published date. In case you missed it, you should notify the Department (752-3828) immediately. Upon receiving approval from the Department, the course grade I (incomplete) may be assigned to eligible students. Please consult the catalog for guidelines of the incomplete grade.

You are expected to strictly adhere to the UC Standards of Conduct for Students.

Cheating will be taken extremely seriously. The minimum punishment will be an F on the exam or assignment in question, and all cases will be referred to Student Judicial Affairs.

Homework:

Homework assignments are (typically) given on Friday (the first HW assignment will be given on Friday, January 10). Each week you need to solve 15 problems on the WeBWork.

We use the WeBWork for your homework grading. To get started with WeBWorK, go to the WeBWork Wiki page and follow the instruction there. If you are already familiar with the system, then go directly to the Homework page. You can view homework assignments by going to "Homework Sets" on the left.

You are responsible for checking the assignments on the WeBWorK page every week. The first assignment is due Friday, Juanuary 17 by 10:00 am.
You have limited attempts on problems, and typos will be counted as failed attempts, so be sure to use the "Preview" button before each time you submit an answer.

Course Grade:

Grading will be on a soft curve, meaning that I do not predetermine either what scores correspond to what grades, or what percentage of students get what grades. Rather, after grading each exam I will assign grade ranges using the following general criterion: those who earn an A should demonstrate a strong mastery of nearly all the material; a B should correspond to a good working knowledge of a strong majority of the material; and C should correspond to an ability to solve routine problems in a majority of the topics covered. Under this system, if you all do well, you will all get good grades. A reasonably good approximation to the final grade distribution in this class will be the grade distribution averages for the final grades in all MAT21B classes taught at UC Davis during the last ten years.

Each component of your graded work will be counted into your course grade with the following weight factors:

Exams	Homework
90%	10%

Lectures:

Lecture 1 (Jan 6): Introduction. Antiderivatives (section 4.8).
Lecture 2 (Jan 8): Area and estimating with finite sums (section 5.1).
Lecture 3 (Jan 10): Sigma notation and limits of finite sums (section 5.2).
Lecture 4 (Jan 13): The definite integral (section 5.3).
Lecture 5 (Jan 15): The Fundamental Theorem of Calculus (section 5.4).
Lecture 6 (Jan 17): The Fundamental Theorem of Calculus (section 5.4). Indefinite integrals and the substitution method (section 5.5).
Lecture 7 (Jan 22): Definite Integral Substitutions (section 5.6).
Lecture 8 (Jan 24): Area Between Curves (Section 5.6). Review of Chapter 5.
Lecture 9 (Jan 27): Volumes using cross sections (section 6.1).
Lecture 10 (Jan 29): Volumes using cylindrical shells (section 6.2).
Lecture 11 (Jan 31): Arc length (section 6.3). Review.
Midterm 1 (Feb 3).
Lecture 12 (Feb 5): Areas of surfaces of revolution (section 6.4).
Lecture 13 (Feb 7): Work and fluid forces (section 6.5).
Lecture 14 (Feb 10): Moments and centers of mass (section 6.6).
Lecture 15 (Feb 12): The logarithm defined as an integral (section 7.1).
Lecture 16 (Feb 14): Exponential change and separable differential equations (section 7.2).
Lecture 17 (Feb 19): Exponential change and separable differential equations (section 7.2). Basic Integration Formulas (section 8.1).
Lecture 18 (Feb 21): Integration by parts (section 8.2).
Lecture 19 (Feb 24): Trigonometric integrals (section 8.3).
Midterm 2 (Feb 26)..
Lecture 20 (Feb 28): Trigonometric substitutions (section 8.4).
Lecture 21 (March 2): Integration of rational functions by partial fractions (section 8.5).
Lecture 22 (March 4): Integration of rational functions by partial fractions (section 8.5).
Lecture 23 (March 6): Numeric integration (section 8.7).
Lecture 24 (March 9): Improper integrals (section 8.8).
Lecture 25 (March 11): Parametrization of plane curves (section 11.1). Polar coordinates (section 11.3).
Lecture 26 (March 13): Calculus with parametric curves (section 11.2). Overview.

Students with disabilities

Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at (530)752-3184 or sdc@ucdavis.edu.

Tutoring and other resources

You are strongly encouraged to take full advantage of the Calculus room as well as the faculty and T.A. office hours In addition to these, there are various other resources available.

LSC: The LSC (Learning Skills Center) has math drop-in hours at which you can receive tutoring for Math 21B.

Each other: You are very much encouraged to study together. This is an easy way to make your study habits more effective.

Important Dates:

Last day to drop: Monday, Feb 3.
Academic Holidays: Monday, Jan 20 and Monday, Feb 17.
Last day of instruction: Friday, March 13.