MAT 21A - Calculus

MAT 21A Section A - CALCULUS

Spring Quarter 2018, CRN = 68448, 68449, 68450, 82010

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

Lectures take place in Hunt 100

Instructor: Professor Alexander Soshnikov

Office: MSB 3140

Mathematics Department, Office of Student Services: 752-3828

Weekly Homework Assignment: Please visit this page weekly for homework assignments. We use WeBWork 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 :

Friday, June 8, 08:00AM - 10:00AM in 3 Kleiber
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 .
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

First Midterm: Wednesday, April 25, in class.

The first midterm examination covers Sections 2.1-3.2.
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 : Please note that the drop day for this course is Friday, April 27.
The numeric grades are posted at UCDavis Canvas web site. The letter grades are given by the following curve. A+ [85, 88] points, A [75, 82], A- [73,74], B+ [70,72], B [63,69], B- [59,62], C+ [56,57], C [47,55], C- [40, 45], D+ [37,39] , D [32,35], D- [30, 30], F [0, 29].

Second Midterm: May 16, in class.

The second midterm examination covers Sections 3.1-3.11.
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 2 Solutions.
The numeric grades are posted at UCDavis Canvas web site. The letter grades are given by the following curve. A+ 83-88 points, A 65-79 points, A- 60-62 points, B+ 57-58 points, B 52-55 points, B- 50-51 points, C+ 46-49 points, C 34-44 points, C- 22-32 points, D+ 20-21 points, D 16-18 points, D- 12-15 points, F 0-10 points.

Text: Thomas' Calculus: Early Transcendentals, 13th edition, by Maurice D. Weir, Joel Hass, and Frank R. Giordano, Pearson/Addison Wesley 2013.

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

Syllabus: We will cover Chapter 2, Sections 1 - 6; Chapter 3, Sections 1 - 11; Chapter 4, Sections 1 - 7.

Online Resources for Calculus:

Calculus Textbook by Gilbert Strang. The entire content of this book is available free of charge in the pdf format. 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 I" has some contents related to the topics of our course.

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

Section	A01 (CRN 68448)	A02 (CRN 68449)	A03 (CRN 68450)	A04 (CRN 82010)
Lectures	MWF 11:00-11:50am in Hunt 100 (all sections)
Office Hours (Prof. Soshnikov)	Tuesday 1:10-2:00pm, Wed 12:10-1:00pm in MSB 3140
Discussion	T 05:10-06:00pm Wickson 1020	T 07:10-08:00pm Wickson 1020	T 06:10-07:00pm Wickson 1020	T 04:10-05:00pm Wickson 1020
T.A.	Ander Aguirre aaguirre@ucdavis.edu	Jonathan Robey jrobey@math.ucdavis.edu	Jonathan Robey jrobey@math.ucdavis.edu	Ander Aguirre aaguirre@ucdavis.edu
Office Hours (TA)	R 2:10-3:00pm, F 12:10-01:00pm MSB 3219	Wed 2:10-4:00pm MSB 3139	Wed 2:10-4:00pm MSB 3139	R 2:10-3:00pm, F 11:00-11:50am MSB 3219

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.

Examinations: There will be two midterm examinations and a final exam. Midterm exams will take place in Hunt 100. The location of the Final Exam will be announced later.

First Midterm: April 25
Second Midterm: May 16
Final Examination: Friday, June 08, 08:00AM - 10:00M in 3 Kleiber.

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.

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 usually given on Friday. Each week you need to solve 15 problems on the WeBWork. The homework is due at 09:00 PM on the following Friday.

We use the WeBWork for your homework grading. To get started with WeBWorK, go to the WeBWork Wiki page made by Mr. Barrette, and follow the instruction there. If you are already familiar with the system, then go directly to the Homework page (available by Thursday, April 5, 2018). 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 TBA.
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. You can "Email instructor" if you run into problems with the interface. Your e-mail actually goes to the Lead TA, Thomas Hunt, who maintains the WeBWork for this class.

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 good approximation to the final grade distribution in this class will be the grade distribution averages for the final grades in all MAT21A 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:

First Midterm	Second Midterm	Homework	Final
25%	25%	10%	40%

Lectures:

Lecture 1 (April 2): Rates of Change and Limits (Section 2.1)
Lecture 2 (April 4): Calculating Limits Using Limit Laws (Section 2.2).
Lecture 3 (April 6): The Precise Definition of a Limit (Section 2.3).
Lecture 4 (April 9): Precise Definition of a Limit (continuation). One-sided Limits (Section 2.4).
Lecture 5 (April 11): One-sided Limits (Section 2.4).
Lecture 6 (April 13): Continuity (Section 2.5).
Lecture 7 (April 16): Infinity Limits and Asymptotes (Section 2.6).
Lecture 8 (April 18): Intermediate Value Theorem (Section 2.6). Tangent Lines and Derivatives (Section 2.7).
Lecture 9 (April 20): Tangents and the Derivative at a Point (Section 3.1).
Lecture 10 (April 23): The Derivative as a Function (Section 3.1).
Midterm 1 (April 25).
Lecture 11 (April 27): Derivative Rules (Section 3.3).
Lecture 12 (April 30): Derivatives of trigonometric functions (Section 3.5).
Lecture 13 (May 2): Chain Rule and Parametric Curves (Section 3.6).
Lecture 14 (May 4): The Derivative as a Rate of Change (Section 3.4).
Lecture 15 (May 7): Inverse Functions (Section 3.8). Implicit differentiation (Section 3.7).
Lecture 16 (May 9): Derivatives of logs (Section 3.8). Implicit differentiation (Section 3.7).
Lecture 17 (May 11): Inverse Trigonometric Functions (Section 3.9).
Lecture 18 (May 14): Related Rates (Section 3.10). Linearization and Differentials (Section 3.11).
Midterm 2 (May 16).
Lecture 19 (May 18): Maxima, Minima, and the Derivative (Section 4.1).
Lecture 20 (May 21): Mean Value Theorem (Section 4.2).
Lecture 21 (May 23): First Derivative Test (Section 4.3).
Lecture 22 (May 25): Monotone Functions and First Derivative Test (Section 4.3). Concavity and Curve Sketching (Section 4.4).
Lecture 23 (May 30): Concavity and Curve Sketching (Section 4.4). L'Hopital's Rule (Section 4.5).
Lecture 24 (June 1): Indeterminate Forms. L'Hopital's Rule (Section 4.5).
Lecture 25 (June 4): Applied Optimization Problems (Section 4.6). .
Lecture 26 (June 6): Newton Method (Section 4.7). Discussion.

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 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 21C.

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: Friday, April 27.
Academic Holidays: Monday, May 28
Last day of instruction: Thursday, June 7.