Math Analysis Semester 2 Final Review Essay

 Mathematical Analysis   

 

 

 

 

Be Prepared:     Each day you should have
     A pencil and eraser  (all Math is done in pencil)
    A binder with at least 3 sections and extra paper

    A spiral bound notebook for homework 

     A calculator, preferably TI-84  (follow this link to calculator policy)  
                         Click here for 2016-2017 Calculator Policy
      Your textbook can stay at home  (we will have textbooks in class if you need them)

Also, remember you can link to your textbook on-line.  Please refer to first day information.

When prepared, you are ready to Participate.

 

 

 

                                  Click here for 2017-2018 Welcome Letter

This letter includes Classroom Policies and Procedures which include retake policy, Quiz Grade Replacement, behavioral expectations, and how to get help with Math Analysis

 

COME FOR HELP in Math Analysis  -   Tuesdays 8:30 - 9 am in room 141 or email Mrs. Clark

   

 

 

CLASS NOTES 

 

Unit 8:  Linits

  Day 1: Limits Intro

 Day 2: Evaluating Limits     Tangent Line

  Day 3: Hmwrk 1.3 Review for Quiz

 Day 4: Chapt 1.4 2 sided limits

  Day 7: Infinite Limits Chapt 1.5

Day 8: Limits at Infinity 3.5         3.5 homework and worksheet  

   Day 9: Review for Test and Practice Test

 

Unit 8:   Limits

Schedule is subject to change based on what we get through in class!

Date

Topic of study

Homework

1 2/14

   2/15

1.2  Finding Limits

pp. 54-58  #1, 3, 9-19 ODD, & 63-66

2  2/16

    2/20

1.3 Evaluating Limits

 

pp. 67-68  #1-43 ODD, 49-59 ODD, 67-75 ODD, 83, 84, & 93

              BONUS: pg 58  33, 37, 39

3  2/21

    2/22

1.4  Continuity and One sided Limits

pp. 78-81  #1-27 ODD, 33-39 ODD, & 87-90

4  2/23

    2/26

Review 1.1-1.3

Worksheet

5  2/27

    2/28

QUIZ 1.1 – 1.3

Guided Notes

6  3/1

    3/2

1.5 & 3.5  Infinite Limits

WS 1.5. #1-6 &

pp. 88-90  #1-4, 9, 11, 33-43 ODD, 57, 62, & 67-70

7  3/5

    3/6

1.5 & 3.5 Continued

WS 3.5   # 1-8   and   p. 205  #21-26, 31, & 33

8  3/7

    3/8

Quiz  1.4, 1.5, 3.5

Test Review

9  3/9

    3/12

Review for Test

Study for test

10      

    3/13

 3/14          

  Test

Spiral Review

 

 

Unit 7:  Law of Sines  Law of Cosines  (Not on Q2 Exam)

            

 Day 1 and 2 Solve Right Triangle, LOS, Area

 Day 3: Law of Cosines

  Day 4: Polar Coordinates

 Day 5: Polar Graphing

 Day 6: Review for Quiz        LOS LOC Polar Quiz review key

 

 

Schedule is subject to change based on what we get through in class!

Date

Topic of study

Homework

1

 B-1/18

 A-1/19

Right Triangle Trigonometry

Law of Sines

 

Midterm Reviews

2

B-1/22

 

Right Triangle Trigonometry

Law of Sines continued

 

Midterm Reviews

2

1/23

1/24

Semester Review

Midterm Reviews

3

1/25

1/26

 

Semester Exam

p. 491 - 19, 19-27 odd, 29, 33, 41, 51, 55, 57, 63;

p.  502 – 505 9, 11, 15, 19, 21, 23

2

1/30

1/31

 

Law of Cosines

Area of Triangle

P. 510- 512 – 9, 15, 19, 23, 25, 29, 33, 37, 39;

516- 517 -  11, 21, 23, 35

3

2/1

2/2

8.1 Polar coordinates

p. 544 #11, 19, 23, 27, 39, 45, 55, 61, 67, 71, 77, 81

4

2/5

2/6

8.2 Polar graphing and Polar Equation Investigation

p. 560 #15, 19, 21, 29-36 all, 37, 45, 49

 

5

2/7

2/8

Unit 7 Review Day

Study for Quiz; Bring PreCalculus textbook to class 2/9-2/10

3

2/8

2/9

Quiz 7.1 – 7.4; 8.1-8.2

 

 

Read Preview of Calculus –

Be ready to talk about What is Calculus and how is it different from previous courses

 

Unit 6:  MATRICES

Day 1 & 2: Matrix Def and Prop    

Day 3: Matrices Homework and Quiz Review    

Day 4 Matrices Review for Quiz     Matrices Q2 Review     

 

 

Schedule is subject to change based on what we get through in class! (and snow days)

 

Date

Topic of study

Homework

1

1/2

1/3

10.2, 10.3, 10.4

Matrices

pp 725: #15, 21, 23, 33, 47

2

1/4

1/5

Matrices Applications

Worksheet:  Matrix Quiz Review

3

1/8

1/9

Review Matrices

Study for quiz

4

1/10

1/11

Matrices Quiz

Start Right Triangle Trig

Midterm Review #3

5

1/12

1/16

Right Triangle Law of Sines

Midterm Review #4

6

1/17

1/18

Review for Semester Exam

Study for Test

7

1/19

1/22

Semester Exam

Law of Sines

 

 

 

 

   UNIT 1: FUNCTIONS

     Day 1: Function Notation and Properties

    Day 2 More Functions Graphing and characteristics

     Day 3 Composite and Inverse Function

     Day 4 Polynomial Functions

    Day 6 Graphing Rational Functions

      Day 7 Review for test           Homework Test Review   Review Guide (Practice in class)

 

 

Slant Asymptotes:

only occur when power in numerator is

ONE

larger than powerin denominator To Find: use Long Divisionfx= x3+x2-2x-2x2+ 3 Y= x+1 +-5X-4x2+3x2+3 x3+x2-2x-1x3 3xx2-5x-1x2 3-5x-4Slant:

Sequences

A sequence is a function whose domain is the set of positive integersEx. A

n

=3n-2 sequence is 1,4,7,10…Factorials review: n! = 1·2·3...n0!=15!3!=5×4=20Summation notation:i=1nai=a1+a2…+anExample:i=372i-1=5+7+9+11+13=45Arithmetic SequencesA

1

,A

2

,A

3

…,A

n

A

2

– A

1

=d A

3

– A

2

=d you get the idead is the common difference1, 4, 7, 10 d=3 a

n

=a

1

+(n-1)dSum of finite arithmetic sequence: Sn= n2(a1+an)=n(a1+an2)Geometric Sequences:A

2

/ A

1

= A

3

/ A

2

=rA

n

=a

1

r

n-1

Sum of a Finite Geometric SequenceSn=1-rn1-r= a1-arn1-rSum of an infinite geometric sequenceS∞=a11-r Where |r|<1

Study Guide of Examples for Sequences and Functions:

Linear:

lim 3x+1 = 3(2)+1 = 7

© 2009 Math Analysis Semester 2: Maya Balakrishnan and Tara Balakrishnan

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