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 TI84 (follow this link to calculator policy)
Click here for 20162017 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 online. Please refer to first day information.
When prepared, you are ready to Participate.
Click here for 20172018 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. 5458 #1, 3, 919 ODD, & 6366 
2 2/16 2/20  1.3 Evaluating Limits
 pp. 6768 #143 ODD, 4959 ODD, 6775 ODD, 83, 84, & 93 BONUS: pg 58 33, 37, 39 
3 2/21 2/22  1.4 Continuity and One sided Limits  pp. 7881 #127 ODD, 3339 ODD, & 8790 
4 2/23 2/26  Review 1.11.3  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. #16 & pp. 8890 #14, 9, 11, 3343 ODD, 57, 62, & 6770 
7 3/5 3/6  1.5 & 3.5 Continued  WS 3.5 # 18 and p. 205 #2126, 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 B1/18 A1/19  Right Triangle Trigonometry Law of Sines
 Midterm Reviews 
2 B1/22
 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, 1927 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, 2936 all, 37, 45, 49

5 2/7 2/8  Unit 7 Review Day  Study for Quiz; Bring PreCalculus textbook to class 2/92/10 
3 2/8 2/9  Quiz 7.1 – 7.4; 8.18.2
 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+x22x2x2+ 3 Y= x+1 +5X4x2+3x2+3 x3+x22x1x3 3xx25x1x2 35x4Slant:
Sequences
A sequence is a function whose domain is the set of positive integersEx. A
n
=3n2 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=372i1=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
+(n1)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
n1
Sum of a Finite Geometric SequenceSn=1rn1r= a1arn1rSum of an infinite geometric sequenceS∞=a11r 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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