El Camino College

Mathematics

Pre-Calculus
Alice Martinez

Math 180

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penguins

Math 180 Information:             Syllabus           Tentative Schedule


 Spring '18 Section 0830  Room: MBA 309  Time:  MTWTh 11:30am-12:40pm

 

Announcements/Info:         TI instructions   

 

Grades are based on a points: (See syllabus for more details)

Homework = 40 points each
Quizzes = 20 points each
Class Activities = 10 points
Exams = 300 points each
Final Exam = 500 points 
 
Must earn 65% on final exam.   Grades will be rounded up if Final exam is the higher of the two grades AND 80% of HW and CA have been completed.    
 
Tentative Schedule:

February   M     12         2.4                    Average Rate of Change

                 T      13         2.1/2.3              Domain and Range, Calculator training

                 W     14         2.1/2.3              Max & Min, Increasing/Decreasing, syllabus discussion, Group Quiz

                 Th    15         2.2                    Piecewise-Defined Functions

 

                M      19        HOLIDAY          CAMPUS Closed

                T      20         2.5                    Slope and Rate of Change                    

                W     21         2.6                    Transformations:  Shifts, stretches and shrinks   Quiz: Ch 2a 

                Th     22         2.7                    Composite functions

(2/23 - Last day to add/ Last day to drop without notation on Permanent Record and get a refund.)

 

                M     26         2.7/2.8              Composition & Inverse Functions ; What is  a Function?

                T      27         2.8                    Inverse Funtions Continued

               W     28         3.1                    Quadratic Functions and Models            Quiz: Ch 2b     

March       Th     1          3.1/3.2/3.3         Using Vertex to “Complete the square” ,  Polynomial division

(3/2  Last day to apply for spring degree/ certificates)

 

                M     5          3.2-3.4              Polynomial Functions and their graphs, zeros, Factor Thm         

                T      6          3.4                    Finding polynomial equations from graphs & Review Ch 2 & 3  

                W     7          Exam 1             HW Packet 1 Due

                Th     8          4.1/4.2              Exponential

 

                 M    12         4.1/4/2/4.6         Continuous Exponential growth and decay & Modeling 

                 T      13         4.3                    Logarithmic Functions

                 W     14         4.4                    Laws of Logarithms                               Quiz:  Ch 4a

                 Th    15         4.3/4.5/4.6         Exponential and Log Equations

 

                 M     19        4.6                    Graphs logs & exponentials

                 T      20         Ch 4 Review

                 W     21         10.2                  Systems of Linear Equations                 Quiz: Ch 4b

                 Th    22         10.3                  Matrices to solve systems of linear equations

 

                 M     26         10.3                  General Solutions to systems of equations

                 T      27         10.4                  The Algebra of Matrices                         Quiz: Ch 10

                 W     28         Review &          10.6                  Determinants

                 Th         29         Exam 2             HW Packet 2 Due  

 

 

 
    

 

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Assignments:

Instructions for video portions of the assignments:  Take notes while watching the videos.  Be sure to write the TITLE of each video above EACH of your video notes and write the definition/description of the main concepts. Turn this in with your HW.  

Instructions for Vocabulary: Make a list of pertinent vocabulary for EVERY section of HW that you turn in, even though it will not list this on the daily HW assignment. Do this for each NEW section covered in the HW.  Be sure to label what section EACH vocabulary is from.  (You do not need to redo vocabulary for sections already covered on previous HW.) 

General HW instructions Be sure to read the general HW instructions to avoid losing points.

 

Math 180 Homework Spring 2018 - The HW will be posted here according to the date it was assigned.  All HW for packet 2 will be collected on the day of Exam 2.

HW Packet #1 - Assignments will be updated regulary, new HW is added to the packet each day the class meets, so check here DAILY.

2/12

2.4:  27, 29, 30, 31, 35, 9, 13

Critical Thinking Question:  The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide two photographs. One photo shows the driver's car passing a toll booth at exactly 6 PM. The second photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM. Does the photo evidence prove that the driver broke the speed limit during this time? Explain.

2.3       55, 57

Vocabulary Reminder:  Find, state and define/explain/draw pic for all pertinent vocabulary in 2.3 & 2.4

2/13

Review:  finding equation of a line & graphing using a calculator

2.1   17, 55, 59, 69

Vocabulary Reminder:  Find, state and define/explain/draw pic for all pertinent vocabulary in 2.1, and for finding the equation of a line 

2/14

2.1    3, 5, 7, 23

2.3   7, 9, 31, 33, 37, 43, 45, 59, 62

2.4    1, 2, 4, 6, 14, 15, 20, 37

Reminder:  If you already did sufficient vocabulary for these sections you do not need to do it again, since these sections have been previously assigned.

 

2/15

2.2    4, 33, 37, 45, 49 

2.1    31 

2.3    61 

 

Future assignments will not have a vocabulary reminder written but continue doing vocabulary in the same manner for all future assignments.  

 

2/20

2.5   39, 45, 42, 43, 7, 9, 23

2.2   42, 81

Read:  pg 201-205 to learn about reflections, stretching and shrinking both horizontally

and vertically, plus even/odd functions. Or find videos on the web to use. Write a brief

explanation for each of these. These will count as your vocabulary for this section

 

2/21 (notice, no new vocab since you have already done the vocab. for these sections.)

2.5  47, 49

2.6  3, 4, 5, 6,  25, 26, 27, 28, 53, 55, ("vocab" done with last HW)

2.2   72,73, 74

 

2/22  

2.7     11, 16, 27, 28, 31, 51, 55, 59

2.6     7, 9, 10, 19, 24, 31, 37, 67

video: (Take notes on this video.  Be sure to title it with the name of the video. All video notes are to be included with your HW)

  (2.7) Evaluating composition of functions using graphs

 

2/26  (not finalized)

video: (Take notes on this video.  Be sure to title it with the name of the video.)

    (2.7) Evaluating composite functions using tables

book problems:

 2.5    12, 23

 2.6   41, 45, 57

 2.7    29, 33, 35, 39, 41

 2.8    1, 2, 7, 

 

  

 

 

 

 

OTHER VIDEOS for further study:

Video:

Ch 3

Longhand division of polynomials  video 1, video 2, video 3

Videos:  Synthetic division of polynomials

Graphing polynomial functions

Finding Zeros and their multiplicity

How to think through finding zeros of polynomials

End behavior of polynomial graphs

Domain and Range from a Graph

Rational Zero Theorem

Finding all zeros of polynomial

Descartes' Rule of signs

Secondary Descartes' rules of signs video

Upper and lower bounds for zeros of polynomials

Ch 4

 Finding equation of exponential using the graph

Graphing basic logarithmic Equations 

Ch 5

Simple harmonic motion explained on unit circle;  

harmonic motion example;  harmonic motion example;  

Ch 6

 law of cosines finding a side,  finding an angle

Ch 7

Ch 8

Videos:    Intro to the history of complex numbers and the fundamental theorem of Algebra(part 1); Complex numbers (part 5)complex plane - (part 6);  polar form (part 7);  These videos provide a quick review of complex numbers along with their interesting history.  (I skipped parts 2, 3 & 4 for times sake but you can watch those also if you want.)  What is really useful about these videos is that he shows how the complex numbers  come from the fundamental theorem of Algebra and how they work naturally in polar form, which is what we will be working with next week.  Take the time to watch these four videos.

Intro to Complex numbers and their uses(part 1)

Ch 10

Evaluating 2x2 determinant

10.7 - Partial Fractions

partial fractions in 5 min

partial fractions as used for calculus (in class)

Quadratic factors

repeated linear factors

identifying types of partial fractions

cover-up rule for quick partial fractions

 

Other possible videos:

Video:  complex numbers in the trig form (24 minutes)

rectangular to trig form,.

trig to rectangular form

 

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Course Material:

*Precalculus-Mathematics for Calculus, 7th Edition, Stewart/Redlin/Watson, 2016, Brooks/Cole (Cengage) 

*TI-84 Plus (TI 86 and TI 89 not allowed. There will be no sharing of calculators during exams, nor substitution via other types of calculators, your calculator must ONLY be a calculator and have no internet access options. You must have this calculator to perform operations in class and to practice the work at home to become proficient. See me if you need help getting a calculator).

*Three-ring binder to keep track of  Class Activity Work and handouts.

Optional materials:  TI-84 user help: http://mathbits.com/mathbits/TISection/Openpage.htm.

 Calculator Help:

Class Lecture 2017: 

>

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Online Resources:

 Videos:

 2x2 augmented Matricies

Evaluating piecewise defined functions

How to graph piecewise defined functions on TI 84

Finding inverse of function (lesson with one-to-one intro, 12:52)

Finding inverse function (Khan, 7:01)

Finding inverse (quick version, 2:32)

Documentaries: 

 

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El Camino College, 16007 Crenshaw Blvd., Torrance, California 90506
Phone: 310-532-3760 Toll Free: 1-866-ELCAMINO (1-866-352-2646)

 

video: (Take notes on this videos.  Be sure to title it with the name of the video. All video notes are to be included with your HW)

  (2.7) Evaluating composition of functions using graphs©