Class Agenda

• 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).

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

The Textbook link

Video resources by topics in the syllabus

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 (Final exam reviews problems)	(Final Review Problems) Sequences -Binomial Theorem	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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