Pre - Calculus

MTH 30       D05 (29284)

Mondays, Wednesdays, 10:00 am - 11:25 am, at NL 133 (library building)
Thursdays: 10:00 am - 11:25 am, at CP 309


 
 

Week 17

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
12/14 Preparation to Final Exam

 With a very late announcement BCC corrected its academic calendar and stated that December 14th is indeed a reading day, not the last day of instruction.
So you are not obligated to attend our meeting. However, I will be there, so you are welcome to join me for the third review meeting.


12/12 Preparation to Final Exam

Final Exam Review - trigonometry and possibly logarithmic and exponential functions.
You can use 4 cheat sheets (both sides) at our Final Exam and a scientific calculator (not a graphing one). You cannot use your cell/smart phones.

Week 16

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
12/08 Preparation to Final Exam

Final Exam Review - Part1 - we worked on the first four questions only
12/07 7.5 Solving Trigonometric Equations

Lecture slides


 For practice from the Textbook (not for grade):
odd-numbered exercises 1-35, 41-51, 57-65, and 73 - 75 at the end of the section
12/05 7.5 Solving Trigonometric Equations

Lecture slides

Week 15

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
12/01 7.2 Sum and Difference Identities

Lecture slides


 For practice from the Textbook (not for grade):
all odd-numbered exercisesat the end of the section
11/30 7.1 Solving Trigonometric Equations with Identities

Lecture slides


If you want to start preparing to the Final Exam, begin with the Midterm Exam review.		 For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section
11/28 6.3 Inverse Trigonometric Functions

We are meeting in-person today!!!

Lecture slides for Section 6.3

Announcements:
1) The Google spreadsheet is updated with all the information about your quizzes scores and your average quizzes score too
If you missed a quiz and would like to take it to improve your average quizzes score, then the make-up date is Thursday, December 8th, from 12 pm to 1:50pm.
If you decide to take the make-up quiz, you must let me know by Friday, December 2nd, 11:59pm. Send me an email with the "quiz make-up" in the subject field, and state which quiz do you want to take. 		For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section
  Thursday , November 24th - Sunday, November 27th,Thanksgiving

Week 14

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
11/23 6.2 Graphs of the Other Trigonometric Functions


no meeting today!

Plan of actions:
1) take the Quiz 9, based on Section 5.4 at the Blackboard. It is available from 10 am until 11:30am. Make sure to take it today!
It is timed at 20 minutes.
2) Read Section 6.2 at OpenStax
For practice from the Textbook (not for grade):
all odd-numbered exercisesat the end of the section
11/21 6.1 Graphs of Sine and Cosine Functions


We resumed from slide 12 in Lecture slides for Section 6.1

meeting recording
 HW 24 (due date: Monday, December 5th) - last HW assignment

1) HW 24 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section

Week 13

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
11/17 6.1 Graphs of Sine and Cosine Functions

Please note that this is an online meeting via Zoom!!!!
Blackboard has the Zoom link.

Lecture slides for Section 6.1 - we stopped at slide 11 (did the in-class practice) and will resume from slide 11 on Monday

meeting recording

Quiz 8, based on Sections 5.1 - 5.3 will be at the Blackboard at the end of the class meeting!

 HW 24 (due date: Monday, December 5th)

1) HW 24 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercisesat the end of the section
11/16 5.4 Right Angle Trigonometry

Please note that this is an online meeting via Zoom!!!!
I sent an announcement via Blackboard and an e-mail with e-mail addresses grabbed from CUNY First with the Zoom link.
If you didn't receive anything, email me asap and I will send you the link.

Meeting video recording

Lecture slides for Section 5.4
 HW 23 (due date: Wednesday, November 30th)

1) HW 23 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section
11/14 5.3 The Other Trigonometric Functions (finished up)

Lecture slides for Section 5.3

More exercises with solutions for self-practice: Section 5.3 extra
HW 22 (due date: Sunday, November 20th) - extended to Wed., November 23rd

1) HW 22 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section

Week 12

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
11/10 5.3 The Other Trigonometric Functions

Lecture slides

Quiz 7, based on Section 4.6

 HW 22 (due date: Sunday, November 20th)

1) HW 22 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercisesat the end of the section
11/09 5.2 Unit Circle: Sine and Cosine Functions

Lecture slides
Handout: Trigonometric Functions Table
11/07 5.1 Angles

Lecture slides
 HW 21 (due date: Monday, November 14th)

1) HW 21 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered 1-57 exercisesat the end of the section

Week 11

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
11/03 4.6 Exponential and Logarithmic Functions

Lecture slides
Review


Quiz 6, based on Sections 4.3-4.5

 HW 20 (due date: Friday, November 9th)

1) HW 20 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 4-50, 79 at the end of the section
11/02 4.6 Exponential and Logarithmic Functions

Lecture slides
Review

Announcement: HW 18, problem 6 had a precision of about 10 places after the decimal point. I set it to 4 places. So now all should be good. Please check and re-submit your answers (if they are not already accepted).
10/31 4.6 Exponential and Logarithmic Functions

We willl finish up the three examples from the previous class, and then will proceded with these Lecture slides

Announcement: Our Final Exam is scheduled for Wednesday, December 21st, at 9am till 11:50am, at NL 133

Week 10

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
10/27 4.5 Logarithmic Properties

Lecture slides


Quiz 5, based on Sections 4.1 and 4.2

 HW 19 (due date: Friday, November 4th)

1) HW 19 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercisesat the end of the section
10/26 4.4 Graphs of Logarithmic Functions

Lecture slides




 HW 18 (due date: Wednesday, November 2nd)

1) HW 18 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-43 at the end of the section
10/24 4.3 Logarithmic Functions

Lecture slides
Cheat sheet for exponential and logarithmic functions

 HW 17 (due date: Monday, October 31st)

1) HW 17 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section

Week 9

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
10/20 4.2 Graphs of Exponential Functions

Lecture slides



 HW 16 (due date: Friday, October 28th)

1) HW 16 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 11, 12, 26-28 at the end of the section
10/19 4.1 Exponential Functions

Lecture slides


 HW 16 (due date: Friday, October 28th)

1) HW 16 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 14-17, 56-68 at the end of the section
10/17 Midterm Exam

Week 8

Note that on Monday, October 10th, there are no classes scheduled at BCC - Columbus Day

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
10/13 Preparing for the Midterm Exam

We will be using these slides

Visit Midterm and Final Exams page to see the recommendation on how to prepare for the Midterm Exam.

Midterm Exam will be on Monday, October 17th.

During the midterm exam:
* The exam is closed book and notes, but you can use 3 letter size pages (both sides) cheat-sheets. The font should be at least size 10 Arial.
* You can also use a calculator. However, you cannot use a smartphone.

Your Midterm Grade will be composed of:
HWs grade 30% of weight,
Quizzes grade 30% of weight, and
Midterm Exam grade 40% of weight.

One needs to collect 22 points (out of 30) in quizzes, to get 100% score on them.
Information about the homeworks score will be posted later.  
10/12 3.7 Rational Functions

Lecture slides


 HW 15 (due date: Wednesday, October 19th)

1) HW 15 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 6-29, 39 - 43 at the end of the section
10/10

no classes at BCC - Columbus Day

  

Week 7

Note that on Tuesday and Wednesday, October 4th - 5th, there are no classes scheduled at BCC - Yom Kippur

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
10/06

3.6 Zeros of Polynomial Functions

Lecture slides

Quiz 4, based on topics from Sections 2.1, 2.2 and 3.2

 HW 14 (due date: Friday, October 14th)

1) HW 14 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 22 -32, 46-49 at the end of the section
10/04-05

no classes at BCC - Yom Kippur
10/03

3.5 Dividing Polynomials

Lecture slides

 HW 13 (due date: Friday, October 14th)

1) HW 13 at WeBWorK

2) For practice from the Textbook (not for grade):
odd-numbered exercises 1 - 43 at the end of the section

Week 6

Monday-Tuesday, September 26-27th, there are no classes scheduled at BCC - Rosh Hashanah
Thursday, September 29th will run on Monday schedule

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
09/29

3.4 Graphs of Polynomial Functions

Lecture slides


 HW 12 (due date: Friday, October 7th)

1) HW 12 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-55 at the end of the section
09/28

3.3 Power Functions and Polynomial Functions

Lecture slides


Additional Materials and Practice (Khan Academy):
Polynomials functions: graphing (end behavior, zeros, multiplicity of zeros, etc)

 HW 11 (due date: Friday, October 7th)

1) HW 11 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-45 at the end of the section
09/26-27

Rosh Hashanah

no classes scheduled

Week 5

Note that on Monday-Tuesday, September 26-27th, there are no classes scheduled at BCC - Rosh Hashanah
Thursday, September 29th will run on Monday schedule

You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
09/22

3.2 Quadratic Functions - finishing up

Quiz 3, based on topics from Sections 1.6 and 1.7


 

 
09/21

3.2 Quadratic Functions

lecture slides

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)
 

HW 10 (due date: Friday, September 30th)

1) HW 10 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-25, and 53-57 at the end of the section
09/19

2.2 Graphs of Linear Functions

lecture slides


 

HW 9 (due date: Friday, September 30th)

1) HW 9 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-69 at the end of the section

Week 4
You can see your grades in this Google spreadsheet.
Look in the row with the last 4 digits of your CUNY ID (emplid).
09/15 2.1 Linear Functions

lecture slides

Solution of exercise 6 from lecture slides

Quiz 2, based on topics from Sections 1.4 and 1.5		 HW 8 (due date: Friday, September 23rd)

1) HW 8 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 15-46 at the end of the section
09/14

1.7 Inverse Functions

lecture slides

 HW 7 (due date: Wednesday, September 21st)

1) HW 7 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-41 at the end of the section

3) Look at the Real World Applications at the very bottom of the Section 1.7 (after all other types of exercises)
09/12 Section 1.6 Absolute Value Functions


lecture slides

Additional resources (Khan Academy resources):
1) Graphs of absolute value functions: videos and practice
2) Solving absolute value equations (videos and practice)
3) Solving absolute value inequalities (videos and practice)		 HW 6 (due date: Monday, September 19th)

1) HW 6 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises 1-39 at the end of the section

Week 3
 
09/08

Section 1.5 Transformation of Functions


We covered Section 1.5 Transformation of Functions

Lecture slides

Afterclass update:
1) We stopped at the slide #23, looked at slides 27, 34-37. We did not dive into the horizontal stretching/shrinking. You will not be tested on the material, but please take a look at it.

Additional recources (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.

Quiz 1, based on Sections 1.1-1.3

 HW 5 (due date: Friday, September 16th)

1) HW 5 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section before the Technology exercises.
09/07

Section 1.4 Composition of Functions


Today we covered the Section 1.4 Composition of Functions

Lecture slides

Afterclass update:
1) We stopped on the slide 36 and worked on exercise 1.
2) Please work on exercise 2 on slide 37. Here are the answers.
3) Please look over the decomposition of a function (slides 38-45).
This material will not be tested on, this is for your self-development.
4) For extra practice you can look on the exercises 1-6 (slides 46-51) at the end lecture slides. Here are the answers.

Additional recources (Khan Academy):
1) Introduction to Compositions of Functions (Khan Academy Video, 6:14 mins)
2) Composing Functions (walk through examples, explanations, and practice problems to learn how to find and evaluate composite functions; Khan Academy)
3) Evaluating Composite Functions (Khan Academy Video, 4:09 mins)
4) Guided practice on evaluation of composite Functions (Khan Academy)
5) Evaluating composite functions: using tables (Khan Academy Video,  4:09 mins)
6) Evaluating composite functions: using graphs (Khan Academy Video, 3:01 mins)
7) Practice: Evaluate composite functions: graphs & tables (Khan Academy)
8) Finding composite functions (Khan Academy Video, 2:55 mins)
9) Practice: Find composite functions (Khan Academy)
10)Evaluating composite functions (advanced)(Khan Academy video, 4:10 mins)

 HW 4 (due date: Wednesday, September 14th)

1) HW 4 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section
09/05 BCC is closed. Labor Day.

Week 2

Note that on Monday, September 5th, College Closed - Labor Day
 
09/01

Sections 1.3

today we will cover Section 1.3

Lecture slides: Section 1.3

 HW 3 (due date: Monday, September 12th)

1) HW 3 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section before the Technology exercises.

3) Familiarize yourselves with the Figure 12, Analyzing the Toolkit Functions for Increasing or Decreasing Intervals in the Section 1.3

4) Look at the Real World Applications at the very bottom of the Section 1.2 (after all other types of exercises)
08/31 Sections 1.1 (finishing up) and 1.2

today we:
Lecture slides: Section 1.1, Section 1.2

 HW 2 (due date: Tuesday, September 6th) - changed to Thursday, September 8th

1) HW 2 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section before the Technology exercises.

3) Familiarize yourselves with the Finding Domains and Ranges of the Toolkit Functions in the Section 1.2

4) Look at the Real World Applications at the very bottom of the Section 1.2 (after all other types of exercises)
08/29

Sections 1.1 (continues)

today we:

  • continued covering Section 1.1 (resumed from slide 31 and stopped at the slide 61)
Lecture slides: Section 1.1

 Additional resources (Khan Academy resources): will be posted shortly
1) Here you can see how the multiplication of (10a-3)(5a2 + 7a - 1) is done (~2.5 mins)
2) Here you can see several examples on exponents of integer values, like -32 and (-3)2 (~10 mins)
3) Here you can review the useful formulars for the powers of binomials, like (a+b)2 = a2 + 2ab + b2 (reading)

continue working on HW 1
Week 1
 
08/26 Welcome to the Pre-calculus mathematics class!

Today we:
Lecture slides - we stopped at slide 31, will resume from it at our next meeting


Additional resources (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
HW 1 (due date: Thursday, September 1st) - changed to Sunday, September 4th

1) HW 1 at WeBWorK

2) For practice from the Textbook (not for grade):
all odd-numbered exercises at the end of the section before the Technology exercises.

3) Look at the Basic Toolkit Functions (Table 13) at the end of the section.

4) Familiarize yourselves with the Desmos graphing helper: https://www.desmos.com/calculator