Survey of Mathematics I with Algebra
MTH 21.5 D01 (41916)

Mondays, Tuesdays, and Wednesdays, 12:00 pm - 1:25 pm, room Polowczyk 308

 
 

 
05/23

Our Final Exam will befrom 12 pm to 1:50pm at CP 308, and will be based on topics from Math Odyssey book

Look for more information on our Exams page.

  
05/17 Review (Math Oddysey book topics)  
05/16 Review (Math Oddysey book topics)
Sample questions for Chapters 3 and 5		  
05/11 Remedial math assessment
  
05/10 Review: remedial math topics
 no HW assignment, finish the remaining homeworks and prepare for the remedial math assessment
05/09 Topics to cover:
Textbook 1:
Section 12.0 – 12.1 Linear programming

Lecture slides: Section 12.1

You can see your grades in this Google Spreadsheet.
Look up the row that has the last 4 digits of your CUNYFirst id (EMPLID). 		no HW assignment, finish the remaining homeworks and prepare for the exams
05/03
Topics to cover:
Textbook 2:
Section 8.1 Quadratic equations and number systems
Section 8.2Radical expressions
 no HW assignment, finish the remaining homeworks and prepare for the exams
05/02
Topics to cover:
Textbook 2:
Section 6.3 Properties of exponents		 HW 26
(due date: Tuesday, May 17th):
05/01
Topics to cover:
Textbook 1:
8.9 Fractal geometry

Lecture slides: Section 8.9  		 
04/27 Topics to cover:
Textbook 1:
Sections 8.1 Perimeter and area

Lecture slides: Section 8.1		 HW 25
(due date: Wednesday, May 11th):
04/26
Topics to cover:
Textbook 2:
Section 5.3 Solving linear inequalities in two variables
 HW 24
(due date: Sunday, May 8th):
04/25
Topics to cover:
Textbook 2:
Sections 5.4 – 5.5 Solving systems of linear equations		 HW 23
(due date: Wednesday, May 4th):
Friday, April 15th - Friday, April 22nd, Spring Break



You can see your grades in this Google Spreadsheet.
Look up the row that has the last 4 digits of your CUNYFirst id (EMPLID).
04/13 Topics to cover:
Textbook 1: Section 5.4 Amortized loans

Lecture slides: Section 5.4

Announcements:
1) I will distribute extra midterm exam credit problems today in class.
2) Our Final Exam is scheduled for Monday, May 23rd, from 12 pm to 1:50 pm, at CP 308
 		 HW 22
(due date: Sunday, May 1st):
04/12 Topics to cover:
Textbook 1: Section 5.3 Annuities

Lecture slides: Section 5.3
  		HW 21
(due date: Friday, April 29th):
04/11  Topics to cover:
Textbook 1: Section 5.2 Compound interest

Lecture slides: Section 5.2

Announcement: the due date for HW 18 changed to Wed, April 20th, because it wasn't assigned to all students in our class		 HW 20
(due date: Wednesday, April 27th):
04/06 Topics to cover: Textbook 1:
Section 5.1 Simple interest

Lecture slides: Section 5.1		 HW 19 (due date: Friday, April 15th):
04/05 Topics to cover:
Textbook 2:
Section 5.2 Slope and the geometry of lines (finishing up)

Lecture slides: Forms of linear equations in two variables, more on slopes
 		 no HW assignment
04/04 Topics to cover:
Textbook 2:
Section 5.2 Slope and the geometry of lines

Lecture slides: Graphing linear functions and slope of a line		 HW 18 - due date is changed to Wednesday, April 20th
(due date: Monday, April 11th):
03/30 Topics to cover:
Textbook 2:
Section 5.1 Solving linear equations in two variables
 HW 17
(due date: Saturday, April 9th):
03/29 Topics to cover:
Textbook 1: Section 3.4 Combinatorics and probability

Lecture slides: Section 3.4

For self-development: read on from slide 71		 HW 16
(due date: Wednesday, April 6th):
03/28 Topics to cover:
Textbook 1: Section 3.3 Basic rules of probability (finishing up)

Lecture slides: Section 3.3		 continue working on HW 15
  Midterm Grade is composed of:
Homeworks 1-12 saverage (70% of total points that could be earned was considered as 100%): 40%
Midterm Exam, remedial part: 25%
Midterm Exam, math odyssey book topics part: 35%
03/23 Topic we coverd:
Textbook 1:
  • Section 3.2 Basic terms of probability (finished it up)
  • Section 3.3 Basic terms of probability (started)
Lecture slides: Section 3.2, Section 3.3		 continue working on HW 15
03/22 Topics to cover:
Textbook 1:
  • Section 3.1 History of probability,
  • Section 3.2 Basic terms of probability
Lecture slides: Section 3.1, Section 3.2
 HW 15
(due date: April 4th):
03/21 Midterm Exam
Part 1: 30 minutes long, remedial math assessment 1
Part 2: 60 minutes long, math odyssey book topics assessment

You are allowed to use calculators, but are not allowed to use smart phones.
You are also allowed to use three cheat sheets (both sides, letter size, normal font size).

You can see your grades in this Google Spreadsheet. Look up the row that has the last 4 digits of your CUNYFirst id (EMPLID).
03/16 Midterm exam preparation:
We will go over these practice problems		  
03/15
Topics to cover:
Textbook 2:
  • Section 4.3 Solving literal equations,
  • Sections 4.4 – 4.5 Solving linear inequalities in one variable
Announcements:
1) the Midterm Grade will be composed of Midterm Exam score (50%) and HWs average score (50%)
2) Midterm Exam grading: for every incorrect problem you get 1 point
3) Watch the video and read the article about cheat sheets.		 HW 14
(due date: Sunday, March 27th):
03/14 Topics to cover:
Textbook 1: Section 7.5 Fibonacci numbers and the golden ratio

Lecture slides:Section 7.5		 HW 13
(due date: Monday, March 21st, submit in class):
03/09 Topics to cover:
Textbook 1: Section 7.4 Prime numbers and perfect numbers (we will do prime numbers only)

Lecture slides: Section 7.4

Midterm Exam information:
Midterm Exam will consists of two parts: Remedial Math Assessment 1 (30 minutes) and Math Oddyssey Book topics assessment (60 minutes).
Remedial Math Assessment 1 (30 minutes) will cover the following topics: fractions, decimals, mixed numbers, rounding off, percent, exponents and square roots, order of operations, algebraic expressions, evaluating algebraic expressions, translating from English to mathematical statements, algebraic statements and solutions, solving linear equations in one variable, polynomials, adding and subtracting polynomials.
Math Odyssey Book topics assessment will cover Chapters 2, 4 and 7.		  
03/08
Topics to cover:
Textbook 2:
  • Section 6.1 Introduction to polynomials,
  • Section 6.2 Adding and subtracting polynomials 

 		 HW 12
(due date: Wednesday, March 16th):
03/07 Topics to cover:
Textbook 1:
Section 4.1 Population, sample and data (we will do pie charts)
Section 4.2 Measures of central tendency
Supplement: percentiles

Lecture slides: Section 4.1, Section 4.2 , Percentiles

Additional resources for percentiles and quartiles:
1) Math is Fun
2) OpenStax		 HW 11
(due date: Sunday, March 13th):
03/02
Topics to cover:
Textbook 1: Section 4.1 Population, sample and data

Lecture slides: Section 4.1 (we didn't do the pie chart)
Handout distrubited in class: Section 4.1

Self-development: you can read and learn about the relative frequency density histogram here: Section 4.1: relative frequency density histogram
 		 HW 10
(due date: Sunday, March 13th):
03/01
Topics to cover:
1) finishing Textbook 2: Section 4.2 Solving linear equations in one variable
2) covering Textbook 1: Section 2.5 Infinite sets (up to slide 77 only)

Lecture slides: Section 2.5

 HW 9
(due date: Friday, March 11th):
02/28 Topics to cover: Textbook 2:
  • Section 4.1 Algebraic statements and solutions,
  • Section 4.2 Solving linear equations in one variable ( we will continue in the next class)
 HW 8
(due date: Tuesday, March 8th):
02/23 We are not meeting today in person. Please see below for self-study guide.

Topics to cover: Textbook 1:
  • Section 2.4 Permutations and combinations (from slide 31 up to slide 58).
Lecture slides: Section 2.4
Note: We are not covering the topic "Permutations of Identical Items" that starts from slide 59, however if you are curious and have time - it is definitely worth a read/look.

Here is the link to the permutations and combinations calculators.

Study Guide:
1) Watch Introduction to Combinations (7:45 mins)
2) Watch working on Example 5 (10:33 mins)
3) Watch working on Example 7 (6:53 mins)
4) Watch working on the last example and conclusion (8:18 mins)

Then follow up with these practice exercises: download the pdf files and go through each of them by flipping pages (do not scroll)
1) Exercise 1 (pdf file)
2) Exercise 2 (pdf file)
3) Exercise 3 (pdf file)		 HW 6
(due date: Saturday, March 5th):
02/22 We are not meeting today in person. Please see below for self-study guide.

Topics to cover: Textbook 2:
  • Section 3.2 Algebraic expressions
  • Section 3.3 Evaluating algebraic expressions,
  • Sections 3.4 Translating algebraic expressions

Study guide:
1) Look through these slides (~10-20 mins): TranslatingWordsToMath.pdf - download the file, open it with a pdf reader and flip through the pages (don't scroll, flip the pages in pdf)
2) Watch this video (2:36 mins): Writing basic expressions with variables 1
3) Watch another video (1:38 mins): Writing expressions with variables 2
4) Watch this video: Evaluating Algebraic Expressions from YouTube (~ 3 mins)
5) Watch this last video: Using formulas (~ 1:14 mins)

Then follow up with these practice activities:
1) Writing basic expressions with variables 1 (guided practice)
2) Writing expressions with variables 2 (guided practice)
3) Evaluating expressions (guided practice)		 HW 7
(due date: Wednesday, March 2nd):
Februrary 21 - College is closed, no classes scheduled (President's Day)
02/16 Topic to cover: Textbook 1:
  • Section 2.3 Introduction to Combinatorics - we stopped on the slide 29 at our previous meeting, today we will resume from it
  • Section 2.4 Permutations and combinations (we only did permutations)
Lecture slides: Section 2.4 - we stopped at slide 31- we will do combinations next week!

Announcement: I will not be teaching in person next week. You don't need to come to the class. However, if it is more convinient for you to come to class and study there (using a laptop, tablet, or your smart phone) then you are welcome to do so.
On Tuesday and Wednesday you will be asked to follow the learning plan for each day. I will post it shortly.		 continue working on HW 5
02/15 Topics to cover:
Textbook 1:
Section 2.2 Applications of Venn diagrams
Section 2.3 Introduction to Combinatorics - we stopped on the slide 29. Will resume from it in our next class meeting

Lecture slides: Section 2.2, Section 2.3		 HW 5
(due date: Thursday, Februrary 24th):
02/14 Topic to be covered:
Textbook 1:
Section 2.1 Sets and set operations (finishing up)

Lecture slides: Section 2.1
A proposed cheat sheet for sets 		HW 4
(due date: Saturday, February 19th):

02/09 Today we will dive into the Math Oddyssey book!

Topic to be covered:
1) Order of operations (Textbook 2, Section 3.1)
2) Sets and set operations (we will not finish it today) Textbook 1, Section 2.1

Lecture slides: Section 2.1		 continue working on HW 3
02/08 classes run on Friday's schedule. We won't meet on this day.
02/07 We will review absolute value, percent, exponents and square roots, signed numbers operations and order of operations

Sections from Textbook 2: Sections 2.3 - 2.5, and 3.1

Alternatively, sections from Textbook 3: Chapter 2 (except Section 2.2), and for order of operations refer to Textbook 2, Section 3.1

Updates: we didn't do the order of operations		 HW 3
(due date: Wednesday, February 16th):
Tutoring Online Tutoring: January 31, 2022 - May 24, 2022
Location: Blackboard BCC Tutoring Tab
You can see here where to locate it

Monday- Thursday: 10 am - 10 pm
Friday - Sunday: 12 pm - 6 pm
Appointments are not required

In-Person Tutoring: starting February 7, 2022
Location: CPH 303

Monday - Sunday: 12 pm - 6 pm
Appointments will be required.
Please schedule appointment via the following link: http://www.bcc.cuny.edu/academics/learning-commons/
02/02 We continued with fractions review: did addition and subtraction of fractions and mixed numbers, re-writing fractions as decimals and backwards, rounding off decimal numbers.
      Chapter 3, from Textbook 3 or Chapter 1, from Textbook 2		 HW 2
(due date: Wednesday, February 9th) - due date changed to Feb. 12th:
  • you can start working on HW 2 at WebWorK, however we didn't review percent yet
02/01 We worked on fractions review up to adding/subtracting fractions and mixed numbers.
      Chapter 3, from Textbook 3 or Chapter 1, from Textbook 2

Videos to watch for extra practice or if you missed a class: Note that you can watch these videos at a speed of 1.25, 1.5, and so forth. And feel free to skip them if you know how to do that operation.
Almost each video link has a menu on the left with other videos and guided practices. If you want to practice - work on those guided practice exercises.



 HW 1
(due date: Sunday, February 6th)- due date changed to Feb. 9th
  • get all the textbooks. Note that Textbook 1, Chapters 2-5 are available at BCC's e-reserves. Visit BCC e-Reserves! - check both MTH 21 and MTH 21.5 cources

  • HW 1 at WeBWork
01/31 Welcome to the course! Our course is a co-requisite course that merges remedial math topics and topics discussed in "Mathematics, A Practical Odyssey" book. The topics from remedial math will be marked separately, here are the refereneces I will be using:
Textbook 1:"Mathematics, A Practical Odyssey" by D. Johnson and T. Mowry, 8th edition CENGAGE Learning, 2014
Textbook 2: "MTH 5 Lecture Notes" by A. McInerney, available for free
Textbook 3: "ARITHMETIC: A Textbook for Math 01" by A. Weaver, available for free


To-do by our next meeting:
1. Visit the homeworks website and make sure you can log-in. Here is the address: https://wwm01.bcc.cuny.edu/webwork2/2022_Spring_Novak_MTH21_5_D01/
    Check that you can see the first assignment!
    For your login and password: use your first name and last name, all lower case letters, no spaces, no commas.
    Initially your login name and your password are the same!
    Example: for the name Anna Maria Smith, the login would be: annamariasmith, and the password will be the same: annamariasmith
    Important: after loggin-in, please change your password and enter your email in User Settings.
2. order/get the Textbook 1
3. check access to the first two available chapters at BCC e-Reserves! Check both MTH 21 and MTH 21.5 - you will find chapters 2, 3, 4, and 5 there!