- In Regular bases, there will be:
- A textbook assigned topic for reading prior to each session, and after the session for studying in-depth.
- One or a few short videos to be watched prior to class. Those videos are related to the topic as entry to the new concepts and an/or an introduction to the new concept(s).
- There will be Homework assigned on our City Tech WebWork class site.
- The class sessions mainly will be held on the Blackboard Collaborate Ultra with some exceptions for a few sessions that will be in zoom. Those sessions will be announced. Recordings will be released for each lesson on Blackboard Collaborate Ultra(Most of them) and/or zoom (depended on where the session will be).
- Discussion threads that aim to get you engaged and collaborate with each other will be posted on this course site.
- You will be given videos to watch, articles to read, etc, and you will discuss and share your ideas and thoughts.
- You are encouraged to create your own discussion threads for an issue, problem, idea that you want to share, or that you need your peer’s opinion about it.
- You are strongly recommended to participate and give your contribution.
- Please respect each other’s thoughts and opinions despite your own opinion.
- Respect diversity as a great source to share and learn from each other and as a great chance to contribute to our pure and healthy citizenship and community
We will be using TI 84 graphing calculator, but especially we will be using demos online graphing calculator and classroom activities to illustrate and demonstrate the behavior of the graph and the transformations of the graphs
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There will be a group research project related to real-life applications of inverse functions. This project will be launched in detail in the second half of the semester.
Class Info
- Date: Fall Semester starts on August 26, and ends on December 21, 2020.
- The first class is on Wednesday, August 26, 2020.
- The Final Exam will be in the last class which is 12/21/2020.
- Meeting Info: Our meetings on the blackboard. You can access it by logging in to the blackboard, and select Collaborate Ultra on the menu of the course.
- For the zoom, you will receive the first announcement which will have the information and the link to access the meeting room.
MAT1375 Course Outline – City Tech
https://openlab.citytech.cuny.edu/-groups-mat-1375-student-video-resources-/
Important to know: Not all the videos in the link above are the same as the ones on the table under this note. You can explore and choose the ones that work best for you. When I assign any discussions or quiz, etc around the topic(s), you can watch any of them/or all of them and answer the questions or discuss
Session | Topic | WeBWorK Set | Dates |
1 | 1. The Absolute Value P:2-11 | Absolute Value Inequalities Interval Notation Videos | 8/26 |
2 | 2. Lines and Functions P:13-28 | Lines Review Videos | 8/31 |
3 | 3. Functions by Formulas and Graphs P:32-44 | Functions -Function Notation Functions -Deference Quotient Functions -Piecewise videos | 9/2 |
4 | 4. Introduction to the TI-84 P:49-61 | 9/9 | |
5 | 5. Basic Functions and Transformations P:63-71 | Functions -Translations Functions -Symmetries videos | 9/14 |
6 | 6. Operations on Functions P:76-83 | Functions -Operations videos | 9/16 |
7 | 7. The Inverse of a Function P:86-95 | Functions -Inverse Functions Videos | 9/21 |
8 | First Examination | Review Functions & Graphs P:98 | 9/23 |
9 | 8. Dividing Polynomials (8.3 Synthetic Division is optional) P:101-111 | Polynomials -Division videos | 9/30 |
10 | 9. Graphing Polynomials (9.3 Graphing Polynomials by Hand is optional) P:113-127 | Polynomials -Graphs videos | 10/5 |
11 | 10. Roots of Polynomials (10.1 Rational Root Theorem is optional) P:130-144 | Polynomials -Rational Roots Polynomials -Theory videos | 10/7 |
12 | 11. Rational Functions (11.2 Graphing Rational Functions by Hand is optional) P:147-168 | Rational Functions -Domains Rational Functions -Asymptotes Rational Functions -Intercepts Rational Functions -Comprehensive Series of videos here | 10/14 |
13 | 12. Polynomial and Rational Inequalities P:169-179 | Polynomials -Inequalities Rational Functions -Inequalities Series of videos here | 10/19 |
14 | 13. Exponential and Logarithmic Functions P:184-197 | Exponential Functions -Graphs Logarithmic Series of videos here | 10/21 |
15 | Midterm Examination | Review of exponential and logarithmic functions | 10/26 |
Session | Topic | WeBWorK Set | Dates |
16 | 14. Properties of Exp and Log P:199-206 | Logarithmic Functions -Properties Exponential Functions -Equations Logarithmic Functions -Equations Series of videos here | 10/28 |
17 | 15. Applications of Exp and Log P:208-214 | Exponential Functions -Growth and Decay Series of videos here | 11/2 |
18 | 16. Half-life and Compound Interest P:216-226 | Exponential Functions -Growth and Decay Review of exponential and logarithmic functions 229 | 11/4 |
19 | 17. Trigonometric Functions P:232-249 | Trigonometry -Unit Circle Trigonometry -Graphing Amplitude Trigonometry -Graphing Period Trigonometry -Graphing Phase Shift Trigonometry -Graphing Comprehensive Series of videos here | 11/9 |
20 | 18. Addition of Angles and Multiple Angle Formulas P:252-261 | Trigonometry -Sum and Deference Formulas Trigonometry -Double and Half Angle Formulas Series of videos here | 11/11 |
21 | 19. Inverse Trigonometric Functions P:262-269 | Trigonometry -Inverse Functions Series of videos here | 11/16 |
22 | 20. Trigonometric Equations P:270-283 | Trigonometry -Equations Series of videos here | 11/18 |
23 | Third Examination | Review of trigonometric functions 284 | 11/23 |
24 | 21. Complex Numbers P287-297 | Complex Numbers -Operations Complex Numbers -Magnitude Complex Numbers -Direction Complex Numbers -Polar Form Series of videos here | 11/30 |
25 | 22. Vectors in the Plane P:299-309 | Vectors -Operations Vectors -Components Vectors -Magnitude and Direction Vectors -Unit Vectors Series of videos here | 12/2 |
26 | 23. Sequences and series P:311-323 | Series of videos here | 12/7 |
27 | 24. The Geometric Series P:325-334 | Sequences -Geometric Series -Geometric Series of videos here | 12/9 |
28 | 25. The Binomial Theorem P:337-345 ChapterReview: Page 347 Final Review (Asynchronously. Office hour consultation available) | Sequences -Binomial Theorem Final Review Problems | 12/14 |
29 | Final Exam | 12/16 | |
The first Lesson Agenda example:
To-Do Before Class
1- Read the textbook Pages 2-11, The absolute value.
2- Watch the video:
Topic
1- Absolute Value Inequalities
2- Interval Notation
Objectives
- Understanding the absolute value and being able to find the absolute value of a real number.
- Solving absolute value equations and inequalities.
- Writing solutions in interval notation.
Activities
Lecture and examples, solving absolute value inequalities class activities, readings, videos, slides, notes, recordings of class meetings conducted via web BCU.
(BCU stands for Blackboard Collaborate Ultra, OL for online, OLab for the open lab. I will be using them a lot)
To-Do After Class
- Study, practice, and do the assignment on Webwork.
- Use all the resources provided and listed for Lesson 1.
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