| 12/17 | Final Exam The Final Exan has 30 questions, 121 points total. You need to get only 100 points to get 100% for the Final Exam! Warning: each question will have a limited number of attempts, so pay attention to it! I will be available at our regular Zoom meeting if you get any questions! Visit the Midterm and Final Exams page to see all information related to the Final Exam. The opportunity to earn extra points: I placed Sample Final Exam at the WeBWorK. It will be available until Wednesday, December 16th, 11:59pm. It has 26 questions, but to get 100 points you need to do any 25 questions (each problem is worth 4 points). * If you get 100 points on it, 10 points will be added either to your Final Exam score, your Midterm Exam score, your quizzes score or your homeworks score, whichever yields the highest course grade. * If you get 90 points on it, 9 points will be added either to your Final Exam score, your Midterm Exam score, your quizzes score or your homeworks score, whichever yields the highest course grade. * And so forth. Given the circumstances we are in this semester, I believe that it would be fair to give you this opportunity. |
9 am - 11:50am at WeBWorK |
| Week 16 |
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| 12/10 | Reading day - no classes |
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| 12/08 | Review of logarithmic and exponential functions Review Problems Meeting recording For additional preparation go over the review on October 27th |
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| Week 15 You can see your grades here. Use last 4 digits of your school ID! |
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| 12/03 | Review of topics from the very beginning of the class until exponential and logarithmic functions |
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| 12/01 | Review of topics from trigonometry Meeting Recording Review Problems Solutions and asnwers to some of the problems: Problem 6, Problem 7 (item b only), Problem 8, Problem 9, Problem 10. Additional problems for review (only answers are given, see the second page). |
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| Week 14 |
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| 11/26 | no classes - Thanksgiving |
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| 11/24 | Trigonometric Equations Lecture slides Meeting recording |
zyBooks: review Section 7.5 or Textbook: review Sections 5.5 |
| Week 13 Note that on Friday - Sunday, November 26-29th, there are not classes at BCC - Thanksgiving |
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| 11/19 | Verifying Trigonometric Identities |
HW 19 - last HW assignment: 1)(due date: Tuesday, December 1st) HW 19 Verifying Identities - Sum and Difference Formulas 2)(due date: Tuesday, November 24th) zyBooks: review Sections 7.1 and 7.2 or Textbook: review Sections 5.1 and 5.2 |
| 11/17 |
Inverse Trigonometric Functions Lecture slides ("Inverse Trigonometric Functions) Meeting recording Quiz 17, based on Graphs and Transformations of Trigonometric Functions |
HW 18: 1)(due date: Tuesday, November 24th) HW 18 Inverse Trigonometric Functions 2)(due date: Thursday, November 17th) zyBooks: review Section 6.3 or Textbook: review Section 4.7 |
| Week 12 Note that on Friday - Sunday, November 26-29th, there are not classes at BCC - Thanksgiving You can see your grades here. Use last 4 digits of your school ID! |
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| 11/12 |
Graphs of Sine and Cosine Functions |
no HW assignment |
| 11/10 | Trigonometric Functions of Any Angle Graphs of Sine and Cosine Functions Lecture slides (for "Trigonometric Functions of Any Angle", we will do examples 3 and 4, and continue to reference angles) Lecture slides ("Graphs of Sine and Cosine Functions") - we stopped at variations of sin and cos functions (y = Asin(Bx-C) and y=Acos(Bx-C)) Meeting recording Quiz 15, based on Trigonometric Identities and Right Angle Trigonometry Additional Resouces: 0) https://www.mathsisfun.com/algebra/trig-sin-cos-tan-graphs.html 1) Graph of sin function (9:21 mins, video) 2) Features of sinusoidal functions (4:57 mins video, discussing amplitude, period and midline, the last one we didn't cover and I will not ask about it, but it is an easy feature of the graph) 3) Practice: amplitude of sinusoidal functions from graph (guided practice) 4) Practice: period of sinusoidal functions from graph (guided practice) 5) Amplitude and period of sinusoidal functions from equation (8:20 mins, video) Note that from that page, in the menu on the left you will see link to two more videos: Transforming sinusoidal graphs: vertical stretch & horizontal reflection (12:51 mins) and Transforming sinusoidal graphs: vertical & horizontal stretches (10:42 mins), and three practices: Amplitude of sinusoidal functions from equation Midline of sinusoidal functions from equation (you can skip this one since we are not doing midlines) Period of sinusoidal functions from equation 6) Practice: graph sinusoidal functions (guided practice) 7) Practice: Graph sinusoidal functions: phase shift (guided practice) |
HW 17: 1)(due date: Tuesday, November 17th) HW 17 Referece Angles Graphs 2)(due date: Thursday, November 12th) zyBooks: review Sections 6.1 and 6.2 or Textbook: review Sections 4.5 and 4.6 |
| Week 11 |
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| 11/05 |
Right Triangle Trigonometry |
HW 16: 1)(due date: Sunday, November 15th) HW 16 Right Angle Trig Any Angle Trig 2)(due date: Tuesday, November 10th) zyBooks: review Section 5.4 and 5.2 (reference angles) or Textbook: review Section 4.4 |
| 11/03 |
Trigonometric Identities Lecture slides (we only covered the slides up to the"Right Angle Trigonometry"). We will continue covering the slides in the next class. Meeting recording Quiz 14, based on Angles, Radian Measure and Trigonometric Function on Unit Circle We will finish the lecture slides from the previous meeting and proceed with the today's topics. I finally posted the recording of the review problems 7-10 (we were working on them on October 28th). |
HW 15: 1)(due date: Thursday, November 12th) HW 15 Fundamental Identities 2)(due date: Thursday, November 5th) zyBooks: review Sections 5.3 (skip the Using reference angles to evaluate tangent, secant, cosecant, and cotangent) and 5.4 or Textbook: review Sections 4.2 and 4.3 |
| Week 10 |
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| 10/29 | Angles and Radian Measure Trigonometric Functions: Unit Circle Lecture slides Table of values of trigonometric functions Meeting recording We didn't do all the slides. We will continue covering them in the next class. |
HW 14: 1)(due date: Thursday, November 5th) HW 14 Angles,Radial Measures, Trig Functions 2)(due date: Tuesday, November 3rd) zyBooks: review Sections 5.1 (up to Finding the area of a sector of a circle, excluding), 5.2 (up to Reference Angle, excluding), and 5.3 or Textbook: review Sections 4.1 and 4.2 |
| 10/27 | Review Quiz 13, based on Exponential and Logarithmic Equations Lecture slides We did only 6 problems out of 10. Here is the meeting recording. The rest of the examples (7-10) video recording Things we will discuss today: 1) Our last quiz will be on November 24th 2) last HW assignment will be also given on November 24th Therefore, make sure you are submitting the homeworks on time and participate in the quizzes. 3) We are given the date and time of our Final Exam: Thursday, December 17th, 9 am - 11:50am. |
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| Week 9 |
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| 10/22 | Exponential and Logarithmic Equations |
HW 13: 1)(due date: Thursday, October 29th) HW 13 Exponential and Logarithmic Equations 2)(due date: Tuesday, October 27th) zyBooks: review Section 4.6 or Textbook: review Section 3.4 |
| 10/20 | Logarithmic Functions (continues: we will see common and natural logarithms) Properties of Logarithms Lecture slides Commong and Natural logarithms recording Properties of Logarithms recording We didn't do practice problems condensing the logarithms. There is the recording: practice problems, part 2 Quiz 11, based on Exponential and Logarithmic Functions |
HW 12: 1)(due date: Tuesday, October 27th) HW 12 Properties of Logarithms 2)(due date: Thursday, October 22nd) zyBooks: review Section 4.5 or Textbook: review Section 3.3 |
| Week 8 You can see your grades here. Use last 4 digits of your school ID! |
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| 10/15 | Exponential Functions |
HW 11: 1)(due date: Thursday, October 22nd) HW11 Exponential and Logarithmic Functions 2)(due date: Tuesday, October 20th) zyBooks: review Sections 4.1 - 4.4 or Textbook: review Sections 3.1 - 3.2 |
| 10/14 |
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| 10/13 | Midterm Exam Exam date: Tuesday, October 13th, 9:30 am - 12pm at WeBWorK The exam has 26 questions. Warning: some questions have limited number of attempts (you can see it at the bottom of the screen: how many attempts you already made and how many are left). If you have any questions, I will be at our Zoom meeting. Feel free to connect and ask your questions! the midterm exam covers Chapters 1-2 from the Peason textbook and Chapters 1-3 from zyBooks Here is a review list of exercises for the Midterm Exam (updated on October 11th, 1:30pm). The answers are on the last pages. The solutions: problems 1-5, problem 6, problems 7-8, problem 10, problem 11, problems 12, problems 13 and 15, problems 14 and 16, problem 17, problems 18-20, problems 21-23, problems 41-25, problems 26-27, problems 28-30, problems 31-32, problems 33-34, problem 35, problem 36, problems 37-38. |
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| 10/12 | BCC is closed - Columbus Day |
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| Week 7 Note that on Monday, October 12th, BCC is closed - Columbus Day |
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| 10/08 | Preparation for the Midterm Exam |
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| 10/06 | Polynomial and Rational Inequalities Lecture slides Quiz 9, based on Rational Functions and Their Graphs Meeting recording Additional Materials: 1) Polynomial Inequalities (a set of examples with solutions) 2) Quadratic inequality (video example fromKhan Academy, ~ 8 mins) 3) Quadratic inequality, example 2 (video example fromKhan Academy, ~ 8mins) 4) Rational Inequalities (a set of examples with solutions) 5) Solving a rational inequality (video example from Khan Academy, ~ 12 mins) 6) Solving a rational inequality, right side is not zero (video example from Khan Academy, ~ 13 mins) |
HW 10: 1)(due date: Tuesday, October 13th) HW10 Polynomial and Rational Inequalities 2)(due date: Thursday, October 8th) zyBooks: review Lecture slides, look through the additional materials if you feel that you need extra practice or Textbook: review Sections 2.7 Polynomial and Rational Inequalities |
| Week 6 You can see your grades here. Use last 4 digits of your school ID! |
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| 10/01 | Rational Functions and Their Graphs |
HW 9: 1)(due date: Thursday, October 8th) HW9 Rational Functions 2)(due date: Tuesday, October 6th) zyBooks: review Section 3.7 Rational functions or Textbook: review Sections 2.6 Rational Functions |
| 09/29 | Tuesday, but follows Monday schedule no class meeting |
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| 09/28 | no classes at BCC - Yom Kippur |
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| 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! |
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| 09/24 | Zeros of Polynomial Functions |
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 |
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! |
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| 09/17 | Quadratic Functions |
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 |
no HW assignment |
| Week 3 You can see your grades here. Use last 4 digits of your school ID! |
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| 09/10 | Inverse 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 |
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| 09/03 | Section 1.7 Combinations and Compositions of Functions |
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 |
HW 2: 1)(due date: Tuesday, September 8th) HW 2 More on Functions and Their Graphs at WeBWorK 2)(due date: Thursday, September 3rd)
or 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:
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| Week 1 |
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| 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)
or 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
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| 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 |
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