### Course Information

Instructor: Joshua Flynn

Office Hours: TTh 2:00-3:30

Office: 322 Montieth

Course Syllabus: This includes textbook, homework, exam, etc. info

### Suggested Problems and Readings.

I may suggest a lot of problems. If you find that there are too many, I suggest at least doing a small handful from each section. Your goal should be to be able to look at these problems and know at least how you would solve them.

Note that for the course material, you can ignore “Application” and “Exploration” sections in general. They might be of interest to you for helping you understand the material, however.

**Week 1**:

Assignments: Start Assignment 00

Reading: A1, A2, A3, A4 (especially the examples with the “sign chart”), A6

Practice Problems: A1.23, 53, 55, 79; A2.27, 41 (just simplify); A3.3, 31, 35; A4.9, 21, 31, 51; A6.5, 15, 17, 21

**Week 2:
**Assignments: Finish 00, start 01

Reading: 1.1 (6-9, 14-17), anything left over from previous week.

Practice Problems: 1.1.11, 17, 21, 27, 35, 51 (only find the domain of this function and sketch its graph)

**Week 3**:

Quiz (Feb 1st): Review A3, A4, A6, and 1.1; The last two problems of 01 will not be important for the quiz.

**Week 4**:

Assignments: Finish 02, 03.

Reading: 1.2 (26-37), 1.3 (50-61, 64)

Practice Problems: 1.2.9, 11, 15, 17, 19, 27 (helpful for one of the WebAssign problems), 37, 44, 45, 47; 1.3.9, 13, 15, 27, 39, 43, 57

**Week 5**: Assignments: Finish 1.5, 3.1, Start 3.2

Reading: 1.5 (78-87), 3.1 (142-155)

Practice Problems: 1.5.5, 27, 37, 39; 3.1.15, 23, 27, 31, 35

Canceled Quiz: Quiz, Solution, typo: r=0.0442 not 0.42, and F=18695.73

**Week 6**: Finish 3.2

Reading: 3.2 (160-165)

Practice Problems: 3.2.3, 5, 7. For these problems, find the secant line through the points (1,f(1)) and (5,f(5)).

Exam 1: Covers every thing up to and including Monday’s lecture (the last section being 3.2).

Practice Exam: Exam, Solutions

**Week 7**: Finish 3.3, 4.1, Start 4.2,3

Reading: 3.3 (188-190, 192-194), 4.1 (224-238), 4.2 (244-246)

Practice Problems: 3.3.3, 9, 19; 4.1.3, 9, 15, 25, 35, 63; 4.2.1, 7, 11, 15, 31

**Week 8**: Finish 4.2,3, Start 4.4

Reading: 4.3 (254-261), 4.4 (264-270)

Practice Problems: 4.3.13, 21, 33; 4.4.7, 13, 19, 33.

Quiz (March 8th): Will cover material from 3.3, 4.1, 4.2, general chain rule.

**Week 9**: Spring Break

**Week 10**: Start and Finish 5.1

Reading: 5.1 (297-306)

Practice Problems: 5.1.15, 21, 31 (Don’t worry about sketching the graphs)

**Week 11**: Start and Finish 5.2

Reading: 5.2 (314-322)

Practice Problems: 5.2.1, 25, 35 (Don’t worry about sketching the graphs)

Quiz (March 29th): Will cover material from 5.1 only.

**Week 12**: Start and Finish 5.3.

Reading: 5.3 (330-336)

Practice Problems: 5.3.1, 7, 9, 13.

**Week 13**: Start and Finish 5.4, start 5.5

Reading: 5.4 (342-347), 5.5 (350-354)

Practice Problems: 5.4.7, 21, 35; 5.5.1, 3, 9, 27

**Week 14**: Finish 5.5, Start and Finish 6.1, 2, Start 6.4

Reading: 6.1 (398-404), 6.2 (408-412)

Practice Problems: 6.1.3, 11, 17, 27; 6.2.1, 11, 13, 15, 31

Quiz (April 19th): Will cover material from 5.4 only.

**Week 15**: Finish 6.4, Start and Finish 6.5,6

Reading: 6.4 (432-442), 6.5 (447-453), 6.6 (461-466)

Practice Problems: 6.4.1, 25 (just do n=10); 6.5.5, 17, 23; 6.6.1, 9, 13

**Final Week:
**Exam: Wednesday.

Note: You may bring in one two-sided sheet of notes.

Practice Exam: Practice Final Exam, Solutions

### Lecture Notes.

Note: There will be typos and these documents may be updated throughout the semester.

**Week 1/Week 2**: Algebra Review

**Week 2:** Review on Lines, started Functions and intervals

**Week 3: **Finished Functions and intervals

**Week 4: **Business Models and Business Terms, Exponential Models

**Week 5**: Limits and Continuity

**Week 6**: Rates of Change and Special Lines

For Weeks 7 and 8, the lecture notes on derivatives is fairly sparse. Please refer to your notes or textbooks for examples.

**Week 7**: Limit Definition of Derivative, Properties of Derivatives

**Week 8**: More Properties of Derivatives

**Week 9: **Spring Break

**Week 10: **The First Derivative

**Week 11: **The Second Derivative

**Week 12**: Limits at Infinity and Horizontal Asymptotes

The following notes are only loosely followed.

**Week 13**: Curve Sketching and Absolute Extrema

**Week 14**: The Indefinite and Definite Integrals, and Substitution

**Week 15****: **The Fundamental Theorem of Calculus and Area Between Curves

### Additional Resources

#### Private tutors through the Q-center:

Link: Website

**Patrick JMT:**

Description: His website and youtube channel contain many videos on different calculus topics. He’s also a great chess player.

**Khan Academy:**

Link: Khan Academy

Description: This is what I used when I took calculus I-IV. They have made a ton of youtube videos for many fields and the website has many practice problems. You have to make an account, but it’s worth it.

**Paul’s Online Math Notes**

Link: Paul’s Online Math Notes Calculus 1

Description: Basically just a bunch of webpages concerning calculus material. This site was really helpful for me.

**Q Center**:

Link: QCenter

About us:

The University of Connecticut’s Quantitative Learning Center (Q Center) is a resource to elevate the proficiency of students taking quantitative intensive (Q) courses across the undergraduate curriculum. We provide direct assistance to students via peer tutoring, review sessions, and the creation of innovative learning tools.

During the academic year, our main activities include:

Free drop-in peer tutoring Sundays to Fridays on the first floor of the Homer Babbage Library.

Review sessions for students in highly populated Q courses.

Working with faculty teaching Q courses to improve student learning.

**Youtube**

Link: Youtube

Description: I think we all know Youtube. However, you might not be aware of the massive amounts of youtubers who make education videos. If you are stuck on a math concept and want someone to explain it to you “in person”, just youtube it!