Math 223: Calculus I

Math 223: Calculus I Fall 2019
Section 02, CRN 958

Schedule: MWRF 1:00pm-1:50pm
Location: Fitzelle Hall 246
Text: Calculus Early Transcendentals, by Stewart (8th edition).
Read the book!

Professor: Jonathan Brown
Office: Fitzelle Hall 260
Email: jonathan.brown@oneonta.edu
Phone: 436-3720
Office Hours: Thursday 11:00-11:50, Friday 12:00-12:50, 2-2:50 or by appointment.
Course website: http://employees.oneonta.edu/brownjs/

Catalog Description: MATH 223 and 224 constitute the first two-thirds of the standard 12-credit calculus sequence, 223-224-276. Topics include functions and their graphs, limits, differentiation, integration, derivatives and integrals of the elementary functions, polar coordinates, parametric equations, infinite series.

Prerequisite: Pass Math 105 with a C or better.

Course Goals and Objectives: Math 223 provides an introduction to the calculus of one variable. The course has two primary goals:
(1) To analyze polynomial and transcendental functions of one variable with respect to the existence of limits, continuity, and differentiability.
(2) To demonstrate an understanding for the application of the derivative and the integral in maxima and minima points, increasing and decreasing functions, concavity, the Mean Value Theorem, estimation of zeros for transcendental and polynomial functions, related rates, velocity and acceleration, applying the Fundamental Theorem of Calculus, and calculating areas and volumes.

Course content: We will cover Chapter 1 (Limits), Chapter 2 (Derivatives), Chapter 3 (Applications of derivatives), and Chapter 4 (Integration).

SUNY Learning Outcomes:
Students will show competence in the following quantitative reasoning skills: arithmetic, algebra, geometry, data analysis, and quantitative reasoning.

Learning Outcome 1: Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.

Learning Outcome 2: Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically, and verbally.

Learning Outcome 3: Students will demonstrate the ability to employ quantitative methods such as arithmetic, algebra,geometry, or statistics to solve problems.

Learning Outcome 4: Students will demonstrate the ability to estimate and check mathematical results for reasonableness.

Learning Outcome 5: Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.

Grades:
Class Participation: 5%
Homework: 10%
Quizzes: 15%
3 in class exams: 15% each
Final: 25%

Your letter grade will be determined from the following heuristic:
A : 93 - 100
A-: 90 - 92.99
B+: 87 - 89.99
B : 83 - 86.99
B-: 80 - 82.99
C+: 77 - 79.99
C :73 - 76.99
C-: 70 - 72.99
D+: 67 - 69.99
D : 63 - 66.99
D-: 60 - 62.99
E : 0 - 59.99

Quizzes: There will be a quiz during the last 10 minutes of class on most Fridays. I will drop your lowest quiz score.

Homework: Each week I will assign two types of homework in the course: practice problems from the text, and WeBWork problems.
Here is the link to the WebWork website for this course: https://webwork.oneonta.edu/webwork2/223-02-f19/
For the WeBWork problems, you will provide answers on the WeBWork website, and your work will be automatically graded.
Your login id for WeBWork is your oneonta.edu username with all lowercase letters, that is the part of your email address before the '@' sign.
Your initial password is your A number (with a capital A).

Recommended Practice Problems:
The practice problems will be from the text, and they will not be collected or graded. The list of practice problems can be found below. Note that the odd numbered problems have answers in the back of the book. It is essential that you do these problems in addition to the WeBWork problems. Learning, development, and growth require time and sustained effort. Most of the knowledge and skills you obtain from this course will come from the time you spend with these problems. Furthermore the quiz problems will often closely resemble (or even be copied from) the problems from the text.

Tentative Exam Schedule:
Exam 1: 9/30
Exam 2: 10/28
Exam 3: 11/25

Final Exam:
The final exam will take place Monday December 16, 11:00am - 1:30pm.
The final exam is cumulative.

Calculators: While calculators may occasionally be useful while doing the homework, they are not allowed to be used during quizzes and exams (unless you have a note from Student Disability Services).

Attendance Policy: Missing class is a very bad idea. Anyone who misses more than 25% of classes starting in week 2 may be removed from the course.

Make-up Test/Quiz Policy: If you know ahead of time you will be absent for a test or quiz you may take the test or quiz early. If you miss a test or quiz due to unexpected illness you may make up the test or quiz the first day you are back in class. If you do unexpectedly miss a test or quiz you need to inform me as soon as you are able.
The Final Exam can only be taken at the specified time.

Getting Help
You are expected to spend anywhere between 6 and 12 hours per week outside of class on the material. The amount of time necessary to pass, or obtain the grade you expect, depends heavily from person to person. Typically, a student spending less than 6 hours per week outside the class should expect to earn a "C" or worse.

If you are struggling with the material, be aware that you have options:
Read the book!
(1) Struggle a bit. Part of the learning process is the internal struggle of trying to understand how all of the pieces fit together. It can be frustrating, but it can also be rewarding. If you make progress, however slow, then it is time well spent. If you feel that your time is not productive, then you should talk to me, or other students, about how you can make better use of your study time.
(2) Visit my office hours. It is part of my job to be available to help you understand the material. There is not enough time in the classroom to get everything across, and you are not expected to do it all on your own.
(3) Find alternate instructional material online. Different people have different styles, and while you might have found my way of discussing something to be confusing, there may be someone else out there who can discuss it in a away that makes sense to you. There are a number of free text books, lessons, and video lectures available online. Feel free to ask me about other sources.
(4) Visit the tutors in CADE. They have drop in tutoring for this course 3 nights a week.
(5) Talk to your fellow students who are taking or who have taken the class. Learning is a social activity; you are not expected to do it all on your own.
(6) If after availing yourself of the above options, you still find that you are struggling regularly to understand the material, find a regular tutor. If you are in this situation, you will likely have to spend significant extra time on the material to ensure a passing grade.

ADA (American with Disabilities Act) Statement:
Students Diagnosed with a Disability-All individuals who are diagnosed with a disability are protected under the Americans with Disabilities Act, and Section 504 of the Rehabilitation Act of 1973. As such, you may be entitled to certain accommodations within this class. If you are diagnosed with a disability, please make an appointment to meet with Accessibility Resources, 133 Milne Library, ext. 2137. All students with the necessary supporting documentation will be provided appropriate accommodations as determined by the Accessibility Resources Office. It is your responsibility to contact Accessibility Resources and concurrently supply me with your accommodation plan, which will inform me exactly what accommodations you are entitled to. You will only receive accommodations once you provide me with an Accessibility Resources accommodation plan. Any previously recorded grades will not be changed.

Emergency Evacuation Procedures:
In the event of an emergency evacuation, classes meeting in this building are directed to reassemble in the IRC Lobby so that all persons can be accounted for. All students are also encouraged to register for NY Alert at http://www.oneonta.edu/security for immediate notification of campus emergencies on or near the campus.

Tentative Schedule. Sections may be removed/added as time allows.

Date Section Topic Suggested Textbook Problems
(not to be collected)
Do these if you want to succeed!

8/26 2.1 The Tangent and Velocity Problems p. 86 #1,3,5,7

8/28
8/29 2.2 The Limit of a Function p. 96 #5,7,9,11,15,17,29,31,33,37

8/30
9/4 2.3 Calculating Limits Using the Limit Laws p. 1-6 #2,5,11,13,17,21,23,25,27,37,43,49

9/5 2.4 The Precise Definition of a Limit p. 116 #1,19,25

9/6 2.5 Continuity p. 126 #3, 5,9,13,19,27,35,39,43,51

9/9
9/11 2.6 Limits at Infinity; Horizontal Asymptotes p. 140 #3,5,7,9,15,17,19,23,25,29,33,43,57

9/12
9/13 2.7 Derivatives and Rates of Change p. 150 #5,7,11,13,15,17,21,27,29,31

9/16 2.8 The Derivative as a Function p. 162 #1,3,5,9,13,25,27,29,43,45

9/18
9/19 3.1 Derivatives of Polynomials and Exponential Functions p. 181 #5,7,11,13,19,21,23,25,29,33>

9/20
9/23 3.2 The Product and Quotient Rules p. 189 #3,7,11,15,17,24,25,27,43

9/25 3.3 Derivatives of Trigonometric Functions p. 197 #3,5,7,11,15,17,29

9/26
9/27 3.4 The Chain Rule p. 205 #9,13,21,23,27,29,31,35,41,45,47,51

9/30 Exam 1
10/2
10/3 3.5 Implicit Differentiation p. 211 #7,11,15,19,21,27,31,49,57

10/4 3.6 Derivatives of Logarithmic Functions p. 223 #3,9,15,21,23,39,41

10/7 3.8 Exponential Growth and Decay p. 242 #1,5,9,11

10/9
10/10
10/11
10/16 3.9 Related Rates p. 248 #3,5,11,20,21,29,40

10/17 3.10 Linear Approximations and Differentials p. 255 #3,23,25,29,33,35

10/18 3.11 Hyperbolic Functions p. 262 #3,5,9,31,35,37,40

10/21
10/23 4.1 Maximum and Minimum Values p. 280 #7,9,13,47,51,55,59

10/24 4.2 The Mean Value Theorem p. 288 #9,11,19,21a,23

10/25
10/30 4.3 How Derivatives Affect the Shape of a Graph p. 297 #1,7,9,11,15,19,25,31,33,39,45,49

10/28 Exam 2

10/31
11/1
11/4 4.4 Indeterminate Forms and l'Hospital's Rule p. 307 #7,11,15,19,23,27,31,35,39,43,47,51,55,57,59,61,63,65

11/6
11/7 4.5 Summary of Curve Sketching p. 317 #1,7,13,19,25,31,37,43,49

11/8
11/11
11/13
11/14 4.7 Optimization Problems p. 331 #5,11,15,21,25,34,37,48

11/15 4.8 Newton's Method p. 342#7,13,15,17,19

11/18 4.9 Antiderivatives p. 348 #1,5,9,13,17,21,27,31,37,41,47,51,63

11/20 5.1 Areas and Distances p. 369 #1,5,7,13,17

11/21
11/22 5.2 The Definite Integral p. 382 #5,17,21,23,25,33,37

11/25 Exam 3

12/2
12/4 5.3 The Fundamental Theorem of Calculus p. 394 #3,7,9,13,17,19,23,27,31,37,41,57

12/5 5.4 Indefinite Integrals and the Net Change Theorem p. 403 #5,11,21,27,31,37,39,59,61

12/6 5.5 The Substitution Rule p. 413 #3,7,11,15,19,23,27,31,35,39,45,61

12/9 Review

Date	Section	Topic	Suggested Textbook Problems (not to be collected) Do these if you want to succeed!
8/26	2.1	The Tangent and Velocity Problems	p. 86 #1,3,5,7
8/28 8/29	2.2	The Limit of a Function	p. 96 #5,7,9,11,15,17,29,31,33,37
8/30 9/4	2.3	Calculating Limits Using the Limit Laws	p. 1-6 #2,5,11,13,17,21,23,25,27,37,43,49
9/5	2.4	The Precise Definition of a Limit	p. 116 #1,19,25
9/6	2.5	Continuity	p. 126 #3, 5,9,13,19,27,35,39,43,51
9/9 9/11	2.6	Limits at Infinity; Horizontal Asymptotes	p. 140 #3,5,7,9,15,17,19,23,25,29,33,43,57
9/12 9/13	2.7	Derivatives and Rates of Change	p. 150 #5,7,11,13,15,17,21,27,29,31
9/16	2.8	The Derivative as a Function	p. 162 #1,3,5,9,13,25,27,29,43,45
9/18 9/19	3.1	Derivatives of Polynomials and Exponential Functions	p. 181 #5,7,11,13,19,21,23,25,29,33>
9/20 9/23	3.2	The Product and Quotient Rules	p. 189 #3,7,11,15,17,24,25,27,43
9/25	3.3	Derivatives of Trigonometric Functions	p. 197 #3,5,7,11,15,17,29
9/26 9/27	3.4	The Chain Rule	p. 205 #9,13,21,23,27,29,31,35,41,45,47,51
9/30	Exam 1
10/2 10/3	3.5	Implicit Differentiation	p. 211 #7,11,15,19,21,27,31,49,57
10/4	3.6	Derivatives of Logarithmic Functions	p. 223 #3,9,15,21,23,39,41
10/7	3.8	Exponential Growth and Decay	p. 242 #1,5,9,11
10/9 10/10 10/11 10/16	3.9	Related Rates	p. 248 #3,5,11,20,21,29,40
10/17	3.10	Linear Approximations and Differentials	p. 255 #3,23,25,29,33,35
10/18	3.11	Hyperbolic Functions	p. 262 #3,5,9,31,35,37,40
10/21 10/23	4.1	Maximum and Minimum Values	p. 280 #7,9,13,47,51,55,59
10/24	4.2	The Mean Value Theorem	p. 288 #9,11,19,21a,23
10/25 10/30	4.3	How Derivatives Affect the Shape of a Graph	p. 297 #1,7,9,11,15,19,25,31,33,39,45,49
10/28	Exam 2
10/31 11/1 11/4	4.4	Indeterminate Forms and l'Hospital's Rule	p. 307 #7,11,15,19,23,27,31,35,39,43,47,51,55,57,59,61,63,65
11/6 11/7	4.5	Summary of Curve Sketching	p. 317 #1,7,13,19,25,31,37,43,49
11/8 11/11 11/13 11/14	4.7	Optimization Problems	p. 331 #5,11,15,21,25,34,37,48
11/15	4.8	Newton's Method	p. 342#7,13,15,17,19
11/18	4.9	Antiderivatives	p. 348 #1,5,9,13,17,21,27,31,37,41,47,51,63
11/20	5.1	Areas and Distances	p. 369 #1,5,7,13,17
11/21 11/22	5.2	The Definite Integral	p. 382 #5,17,21,23,25,33,37
11/25	Exam 3
12/2 12/4	5.3	The Fundamental Theorem of Calculus	p. 394 #3,7,9,13,17,19,23,27,31,37,41,57
12/5	5.4	Indefinite Integrals and the Net Change Theorem	p. 403 #5,11,21,27,31,37,39,59,61
12/6	5.5	The Substitution Rule	p. 413 #3,7,11,15,19,23,27,31,35,39,45,61
12/9	Review