Calculus I

Roser GineTeaching Calculus I

COURSE MATERIALS:

Text: University Calculus: Early Transcendentals Fourth Edition Pearson © 2020. Available through the Bookstore.
ISBN-13: 9780134995540 (includes Textbook ISBN 978-0-13-516484-2 and MyLab/Mastering access code)
Online Access: MyLab/Mastering access code.

Note on purchasing books and online access codes: Some book packages from the campus store include an access code to a web site called MyLab/Math. There you will find MyMathLab. The web access also contains an electronic version of the book. You can buy the access alone (no hard copy) either at the bookstore or online. However, for not too much more you can buy the access code with an actual copy of the textbook. The online component of the course utilizes web-based homework found on the web site entitled MyLab/Math. The website will request the course number, which will be given to you in class by your professor. Once the site finds your course, you will be able to create an account using the access code you purchased.

Calculators: You are not allowed to use calculators on quizzes or exams. Some of the online homework problems, however, require approximations to a specified number of decimal places. For these, of course, a calculator will be useful.

The following documents spell out how the course runs and what is required of you.

Course Schedule for all sections:

Week #

Monday

Wednesday

Friday

Week 1

1/17 and 1/19

 

1/17

Introduction to the course; review syllabus

1.1 Functions

 

1/19

1.2 Combining Functions

Week 2

1/22-1/26

1/22

1.2 Combining Functions

1/24

1.3 Trigonometric Functions I

1/26

1.3 Trigonometric Functions II

Week 3

1/29-2/2

1/29

1.5 Exponential Functions

 

*1/29 is last Add/Drop

1/31

1.6 Inverse Functions and Logarithms

2/2

1.6 Inverse Functions and Logarithms

Week 4

2/5-2/9

2/5

Review for Exam 1

 

2/7

EXAM 1

Coverage: 1.1-1.6

2/9

2.1 Rates of Change and

Tangents to Curves

 

Week 5

2/12-2/16

2/12

2.2 Limit of a Function and Limit Laws

 

2/14

2.4 One-Sided Limits

2.5 Continuity

2/16

2.6 Limits Involving Infinity: Asymptotes of Graphs

 

Week 6

2/20-2/23

2/19

President’s Day: University Closed

2/20 Monday schedule

3.2 The Derivative as a Function

3.3 Differentiation Rules I

2/21

3.3 Differentiation Rules II

2/23

3.5 Derivatives of

Trigonometric Functions

Week 7

2/26-3/1

2/26

3.6 The Chain Rule I

2/28

3.6 The Chain Rule II

 

3/1

3.7 Implicit Differentiation

 

Spring Recess

3/3 – 3/10

 

Week 8

3/11-3/15

3/11

3.8 Derivatives of Inverse

Functions and Logarithms

3/13

Review for Exam 2

3/15

EXAM 2

Coverage: 2.1-3.8 (exclude 2.3, 3.1, 3.4)

Week 9

3/18-3/22

3/18

3.9 Inverse Trigonometric Functions

3/20

3.10 Related Rates

 

3/22

3.11 Linearization and

Differentials

Week 10

3/25-3/29

3/25

4.1 Extreme Values of Functions

3/27

4.3 Monotonic Functions and   the First-Derivative Test

3/29

4.4 Concavity and Curve Sketching

Week 11

4/1-4/5

4/1

4.5 L’Hôpital’s Rule

*Last day for a grade of “W” is 4/2/2024

4/3

4.6 Applied Optimization

 

 

4/5

4.6 Applied Optimization

 

Week 12

4/8-4/12

4/8

Review for Exam 3

4/10

EXAM 3

Coverage: 3.9-4.6; exclude 4.2

4/12

4.2 The Mean-Value Theorem

 

Week 13

4/17 and 4/19

4/15

Patriot’s Day-University closed

 

4/17

4.7 Newton’s Method

4/19 (Monday class schedule)

4.8 Antiderivatives

Week 14

4/22-4/26

4/22

5.5 The Method of Substitution

 

4/24

5.5 The Method of Substitution and

Review for Final Exam

4/26

Review for Final Exam

 

Last day of classes

 

Final Exam Period

4/29 – 5/4 (Make-up on 5/6)

 

 

 

Making it through Calculus 1: There’s a lot to learning mathematics. It’s hard! No doubt about it. But the key to succeeding in calculus courses is primarily solving lots of problems. In the process you determine where your weaknesses lie and must fix them either by seeking help from the tutoring centers or from your instructor. We have office hours for a reason, and we are all available for you at other times if you can’t make our set office hours. You must keep up with the reading and all the homework. As for methodology: You should pre read material before a lecture. In class, ask your professor about any difficulties you had with the previous night’s homework. Then, take good notes, specifically making sure you neatly write down any examples your professor presents. Seeing solved problems will help you in your assigned homework. That night immediately do the homework in that section. (DON’T WAIT!) If you get something wrong, ask your instructor in the next class to explain it. 

 

 Tutoring Services:

There are many places to get help with Calculus:

  1. Your instructor’s office hours
  2. An appointment with your instructor
  3. Math department tutoring: the math department has a tutoring center that is staffed by math majors and students who have had success in math courses at UML. The center is in Southwick 310. In person tutoring is offered Monday-Friday, and Zoom hours are also available on the weekend. To learn more about our tutoring center, please go to: https://www.uml.edu/sciences/mathematics/students/tutoring-schedule.aspx
  4. Another mathematics professor’s office hours. Most professors are happy to help and post their office hours outside their door. The main office of the Math Department is Southwick 303. Check there for the office locations of individual professors. 
  5. CLASS (Centers for Learning and Academic Support Services) – https://www.uml.edu/CLASS/Tutoring/Drop-In-Tutoring.aspx
 
Lectures:

There are a few ways to supplement your classroom lectures.

The first are video lecture series that many students find useful. Khan Academy and Patrick Just Math Tutorials comprise a multitude of videos on many topics studied by a calculus student.

https://www.khanacademy.org/math

http://patrickjmt.com/#calculus

Secondly, there are printed lecture notes below. Feel free to read them.

 
Exams:

There are three in-class exams throughout the semester as well as a comprehensive final exam. Please see the course schedule for dates and coverage. Only documented medical/personal reasons will allow for a make-up of missed exams. No calculators or cheat sheets allowed!  Students with documented reasons for extra time are responsible for scheduling an exam time at least one week prior to the actual exam date.

Note: The following files have problems that indicate the types of questions you might see on an exam.  They do not represent the length of an actual exam.   

 
Academic Dishonesty:

Academic dishonesty (i.e. cheating) is prohibited in all programs of the University and sanctions may be imposed on any student who commits an act of academic dishonesty. Details on UML policy can be found at https://www.uml.edu/Catalog/Undergraduate/Policies/Academic-Policies/Academic-Integrity.aspx. Note in particular that any incident which results in some action being taken must be reported to the Provost’s Office.