Pre - Calculus

MTH 30      D07 (50508)

Tuesdays, Thursdays: 10:00 am - 11:50 am, at NI 300A


 
 

Week 6


You can see your grades here. Use last 4 digits of your school ID!

09/30

Rational Functions and Their Graphs

Quiz 8, based on Zeros of Polynomial Functions

HW 9:
09/29
Tuesday, but follows Monday schedule
no class meeting

 
09/28

no classes at BCC - Yom Kippur

 

Week 5


Note that on Monday, September 28th, there are no classes scheduled at BCC - Yom Kippur

You can see your grades here. Use last 4 digits of your school ID!
 
09/24

Zeros of Polynomial Functions

Quiz 7, based on Dividing Polynomials, Remainder and Factor Theorems

Lecture slides

Videos:
1) Video recording of the meeting
2) Descartes's rule of signs (we didn't have time to cover it during our meeting. Make sure to watch it and be prepared for the next quiz) 

HW 8:

1)(due date: Thursday, October 1st) HW8 Zeros of Polynomial Functions

2)(due date: Thursday, October 1st)
zyBooks:
review Section 3.6 Zeros of polynomial functions
or
Textbook:
review Sections 2.5 Zeros of Polynomial Functions
09/22

Dividing Polynomials, Remainder and Factor Theorems

Lecture slides

Quiz 6, based on Quadratic and Polynomial Functions

Video recording of our meeting

HW 7:

1)(due date: Thursday, October 1st) HW7 Dividing Polynomials

2)(due date: Thursday, September 24th)
zyBooks:
review Sections 3.5 Dividing polynomials, and 3.6 Zeros of polynomial functions (everything until Using the rational zero theorem to find rational zeros)
or
Textbook:
review Sections 2.4 Dividing Polynomials, Remainder and Factor Theorems.

Week 4


Note that on Friday - Sunday, September 18-20th, there are no classes scheduled at BCC - Rosh Hashanah

You can see your grades here. Use last 4 digits of your school ID!

09/17

Quadratic Functions
Polynomial Functions and Their Graphs

Lecture slides

Videos:
our meeting

Additional Materials and Practice (Khan Academy):
1) completing the square (worked example, ~3 mins)
2) Here you can find everything about quadratic functions and graphing them (Khan Academy unit)
3) Polynomials functions: graphing (end behavior, zeros, multiplicity of zeros, etc)

HW 6:

1)(due date: Thursday, September 24th) HW6 Quadratic and Polynomial Functions

2)(due date: Tuesday, September 22nd)
zyBooks:
review Sections 3.2 Quadratic Functions, 3.3 Power functions and polynomial functions (skip the power function), and 3.4 Graphs of Polynomial Functions
or
Textbook:
review Sections 2.2 Quadratic Functions and 2.3 Polynomial Functions and Their Graphs
09/15

Chapter 1 Review

meeting video recording
We only covered the first part of the review. I will record the second part offline and will post it by the end of the weekend.

Video recording of the second part's review (from another MTH 30 section).
Two exercises (#6 and #7 are not done)

Quiz 5, based on Inverse Functions

Chapter 1 review, part 1
Chapter 1 review, part 2
Answers only: Chapter1review_answers.pdf

 

no HW assignment

Week 3


You can see your grades here. Use last 4 digits of your school ID!

 
09/10

Inverse Functions

Lecture slides

Videos from the meeting:
1) discussion of domains of composite functions
2) inverse functions

Quiz 4, based on Transformations of Functions

HW 5:

1)(due date: Thursday, September 17th) HW5 Inverse Functions

2)(due date: Tuesday, September 15th)
zyBooks:
review Section 1.6 Inverse Functions
or
Textbook:
review Section 1.8 Inverse Functions.
09/08 Transormations of Functions

Lecture slides (typos are fixed)
Definitions, Rules and Formulas (from the back of the book)

Quiz 3, based on Combinations and Compositions of Functions

Videos:
1) our meeting

Additional Materials and Practice (Khan Academy):
1) completing the square (worked example, ~3 mins)
2) page with a list of transformations that has video examples as well as guided practices. Check the sections Shifting Functions, Reflecting Functions, Scaling Functions (it is the same as stretching/shrinking) and Putting it all Together.
HW 4:

1)(due date: Tuesday, September 15th) HW4 Transformations of Functions

2)(due date: Thursday, September 10th)
zyBooks:
review Section 1.5 Transformation of Functions
read Section 1.6 Inverse Functions
or
Textbook:
review Section 1.6 Transformations of Functions
read Section 1.8 Inverse Functions.

Week 2


Note that on Monday, September 7th, College Closed - Labor Day
 
09/03

Section 1.7 Combinations and Compositions of Functions

Quiz 2, based on Section 1.3

  As promised, I removed the link to our meeting from here. If you need it, head to the Blackboard, Announcements.

WebWorK cheat sheet (will help you with entering your answers at WeBWorK)

Lecture slides (minor typos yet to be fixed)

Videos:
1) Video of the meeting (we covered combinations of functions)
The topics we didn't cover in class:
2) Introduction to Compositions of Functions (Khan Academy Video, 6:14 mins)
3) Composing Functions (walk through examples, explanations, and practice problems to learn how to find and evaluate composite functions; Khan Academy)
4) Evaluating Composite Functions (Khan Academy Video, 4:09 mins)
5) Guided practice on evaluation of composite Functions (Khan Academy)
6) Evaluating composite functions: using tables (Khan Academy Video,  4:09 mins)
7) Evaluating composite functions: using graphs (Khan Academy Video, 3:01 mins)
8) Practice: Evaluate composite functions: graphs & tables (Khan Academy)
9) Finding composite functions (Khan Academy Video, 2:55 mins)
10) Practice: Find composite functions (Khan Academy)
Evaluating composite functions (advanced)(Khan Academy video, 4:10 mins)

HW 3:

1)(due date: Wednesday, September 9th - extended to Sunday, Sept. 13th) HW3 Combinations and Compositions of Functions

2)(due date: Tuesday, September 2nd)
zyBooks:
review Section 1.4 Composition of Functions
read Section 1.5 Transformation of Functions
or
Textbook:
review Section 1.7 Combinations of Functions, Compositions of Functions
read Section 1.6 Transformations of Functions.
09/01

Section 1.3 More on Functions and Their Graphs

Lecture slides

1) Lecture recording (includes in-class practice, problems 1-2)
These we didn't have time to cover in class:
2) in-class practice, problem 3
3) in-class practice, problems 4-6

Quiz 1, based on Section 1.2
At our next meeting we will have quiz 2. It will be based on both section 1.3

Desmos graphing helper: https://www.desmos.com/


We will be skipping two sections: Section 1.4 Linear Functions and Slope and Section 1.5 More on slope.
I would recommend skimming through these two sections and we are assumed to know this material already.

HW 2:

1)(due date: Tuesday, September 8th) HW 2 More on Functions and Their Graphs at WeBWorK

2)(due date: Thursday, September 3rd)
  • zyBooks:
    review Sections 1.1, 1.2, 1.3
    read Section 1.4 Composition of Functions

  • or

  • Textbook:
    review Sections 1.2 and 1.3
    read Section 1.7 Combinations of Functions, Compositions of Functions.

3)(due date: Thursday, September 3rd) double check that you have the Kahoot! app on your cell phone. We will have Quiz 2 based on todays topics in the beginning of our next meeting.

4)(due date: Thursday, September 3rd) Optional:
Week 1
 
08/27 Section 1.2 Basics of Functions and Their Graphs

Lecture slides

Videos of our meeting:
1) Class structure (part 1): https://youtu.be/WYJ9J1IaXW8
2) Class structure: using Kahoot App (part 2): https://youtu.be/NHGtwjd_V5g
3) Lecture 1 (part 1): https://youtu.be/uUViVKQBhVI
4) Lecture 1 (part 2, Note that I forgot to start thhe recording for items a) and b) in an example!): https://youtu.be/xyanjMc9D0k
5) In this video you can find the a) and b) items of an example I forgot to record during our meeting (start watching from 10 mins): https://youtu.be/2xlS8mFwYmA
Not covered in class:
6) Graphs and functions: https://youtu.be/wUxNwfRpMfk
7) Practice: https://youtu.be/nzPU0d1paYM

We didn't finish the slides. So I will record a series of video-lectures and post the links to them tonight.

We had a Training Quiz at Kahoot!

At our next meeting we will have Quiz 1. It will be based only on topics we covered from Section 1.2

Resources while you are getting the textbook:

Sections 1.2 and 1.3 of the book are available through e-reserves:
http://bcc-libweb.bcc.cuny.edu/electronic-course-reserves/
- choose MTH 30 from the drop-down menu
HW1:

1)(due date: Thursday, September 3rd) HW 1 at WeBWorK

2)(due date: Tuesday, September 1st)
  • zyBooks: Sections 1.1, 1.2, and 1.3 (note that we didn't cover one-to-one functions and horizontal line test)

  • or

  • Textbook: Sections 1.2 and 1.3
    Note that you will be seeing topics we covered today and new topics.

3)(due date: Tuesday, September 1st) Install Kahoot! app on your cell phone.
Be ready to use it in the beginning of our next meeting (Quiz 1).

4)(due date: Thursday, September 3rd) Optional
  Self-Review:
Section 1.1 Graphs and Graphing Utilities


Khan Academy resources:
Intro to the Coordinate plane (video, 11:21 mins)
Coordinate plane : a section with video lectures and guided practice
Graphing two linear equations (5x+2y=20 and y=2x+7) and practice (including vertical and horizontal lines) - a section with videos and practice
Introduction to parabolas: a video (8:43 mins) and two practices
Review of graphing quadratic functions - a section with text (with links to videos) and practice
Forms and features of quadratic functions : videos and practice
Graphs of absolute value functions: videos and practice

Resources while you are getting the textbook:

Section 1.1: Ch1_Section1.pdf

Sections 1.2 and 1.3 of the book are available through e-reserves:
https://bcc-cuny.libguides.com/er.php?course_id=50863
- choose MTH 30 from the drop-down menu

For practice from the Textbook:
Section 1.1 Practice Exercises: 18, 20, 22, 24, 25, 28, 41-46

Solutions: Section1_1ex_18_20.pdf, Section1_1ex_22_24.pdf, Section1_1ex_25.pdf, Section1_1ex_28.pdf, Section1_1ex_41-46.pdf

Section 1.1 from the textbook: Ch1_Section1.pdf