Lesson 1 (Wed 9/3): A.3, A.5 - Review Polynomials and Factoring
Read A.2 and A.4 on your own. Then do:
A.2/11, 13, 15, 21, 23, 27, 29, 31, 49, 69, 85, 89, 91
A.4/31, 33, 35, 37, 43, 49, 59, 73, 75,
Check the answers to all your homework in the back of the book.
Lesson 2 (Mon 9/8): A.1, A.6 - Review Intervals and Inequalities
Do each problem and then check the answer in the back, if your answer is wrong, look at a similar example in the section and try again:
A.1/19, 25, 29, 31, 47, 49, 57, 75
A.6/1,3,5,7,9,11,21,25,37,49,53,99,101,151,159
Lesson 3 (Wed 9/10): 1.1- Graphs of Equations 1.2- Linear Equations in Two Variables
1.2/1, 3, 9, 21, 55, 67, 1.1/9, 11, 13, 23, 29
Lesson 4 (Mon 9/15): 1.3- Functions 1.4 Analyzing Graphs of Functions
Functions Project: 1.1/Read page 7, do 1.1/57, 59, 63, 67, 74 and 1.2/ Read page 19, do 1.2/39, 87, 91, 13, 17, 81 due 9/22
1.3/1,3,7,9,15,19,21,27,31,33,37,49,51, 59, 63, 87, 93, 95
1.4/ 1,3,9,11,13,15,17,21,31,33,35,37,53,61,63,65
Lesson 5 (Wed 9/17): 1.5 A Library of Functions
1.5/1,3,5,29, 31, 37, 41, 43, 45, 63
4.3/1,3,5,7,9,11,13,17,57,59
Lesson 6 (Mon 9/22): 1.6- Shifting, Reflecting, and Stretching Graphs
1.6/1,5,9,11,13, 17,21, 25,27, 31, 33, 39, 43, 63
Lesson 7 (Wed 9/24): Review for Exam I
Preparing for a college exam (4 study sessions): First 1-2 hours: quickly look through your old notes and homework. Mark down anything that confuses you and email me! (sormani at comet.lehman.cuny.edu). It may be an extra topic not on the exam. Next two hours: do the following examples as if they were problems on an exam (do not look at your notes). Then check your answers. Third study session: study everything you got wrong when you tested yourself and again you can email me with questions. This study session could be long or short depending on how you did on the practice. The night before the exam: look over this list of review problems again focussing on 1.1-1.6 and get plenty of sleep. When you are asleep you are processing knowledge. Without sleep, you will forget what you learned and also have a higher chance of making stupid mistakes. Aim for a perfect score!
A.2/ Examples 1, 6, 10, 13, 15
A.3/ Example 5, Example 6,
A.4/ Examples 2, 3, A.5/ Example 4,
A.6/ Examples 1, 2, 4, 5
1.1/ Example 3, Example 5, Example 7,
1.2/ Examples 4, 5, 7,
1.3/ Examples 1, 2, 3, 4, 5, 6
1.4/ Examples 2, 3, 4, 6, exercise 53, 61, 93,
1.5/ Examples 2, 3, exercise 37, 43, 49,
1.6/ Examples 1, 2, 3, 4,
If you like to work slowly ask your parents if you can stay late on the day of the exam.
Lesson 8 (Mon 10/6): Exam I on Functions and Graphing
Study everything that you did not understand from the exam again before 10/14. You will need to understand it for the rest of the course.
Lesson 9 (Tue 10/14): Go over Exam I
Lesson 10 (Wed 10/15): 2.1- Maximizing Quadratic Functions
Read 2.1/ Example 2 Do 2.1/17, 19, 23, 25, 29, 31
Read 2.1/Examples 1-2 Do 2.1/1,3,5,7, 43, 45, 17, 19, 31
Max-Min Problem Project due 10/22
Lesson 11 (Mon 10/20): 1.7 Composition of functions ,
Read 1.7, Do 1.7/ 5, 9 , 27, 35, 37, 39, 43, 51, 53, 55, 59
Lesson 12 (Wed 10/22): 1.8- Inverse Functions
Read 1.8, do 1.8/1,3,13, 15, 17, 25, 27, 31, 39, 41, 63
Inverses Project (1.8/ 22, 44, 46, 50, 64, 82, 84, 92) due 11/3
Lesson 13 (Mon 10/27): 1.8- Square roots and restricted domains, 2.3- Polynomial and Synthetic Division
1.8/19, 21, 22, 43, 45, 46,
2.3/5, 7, 13, 37, 49, 73
Lesson 14 (Wed 10/29): 2.2 and 2.6- Graphing Polynomial and Rational Functions
Emphasize graphing y=f(x) versus y=1/f(x)
1.8/ 23, 49, 53
2.2/1,3,5,7,41,90, 2.6/5,7,9,21,31
Lesson 15 (Mon 11/3): 4.1-4.2- Trigonometric Functions, Radians and The Unit Circle, Mention the pythagorean identity
Unit Circle Project will be started in class and due 11/5.
Study 4.1- Radian and Degree Measure
4.1/13,17, 19, 25, 27, 37, 39, 41, 47, 59, 87, 89
finish the unit circle project, 4.2/5, 13, 55
Lesson 15 (Wed 11/5): 4.3- Right Triangle Trigonometry, 4.4- Trigonometric Functions of Any Angle
Review for Right Triangle Trigonometry
4.2/1,3,5,7,9,11,13,15,21,27,43,45,49,51
4.3/1,3,5,7,9,13,17,49,51,57,(59), 61
4.4/1,3,11 3.3/25, 91 Extra Credit 4.1/67a, 71a
Lesson 16 (Mon 11/10): 4.5- Graphs of Sine and Cosine Functions (review 1.7)
4.6- Graphs of other trigonometric functions (review 2.6)
4.5/1,3,7,9,13,71; 4.6/1-6
Lesson 17 (Wed 11/12): 4.7- Inverse Trigonometric Functions pages 322-325 (review 1.8/ Ex 6-7)
4.7/1,3,11,37,41 and catch up on Monday HW
Review for the exam by doing the following examples from the text:
1.7/4,5, 1.8/6,7, 2.1/2,4, 2.2/4,5,6, 2.3/1,2, 2.6/3,6,
4.1/3,4,5, 4.2/ page 274 unit circles, 4.3/4,5, 4.4/5,chart on p 294
4.5/2,3, 4.6/1, 4,5, 4.7/pages 322-325
Lesson 18 (Mon 11/17): Exam II on Inverses, Rationals and Trigonometry
on sections 1.7, 1.8, 2.1, 2.2, 2.6, 4.1-4.6
Lesson 19 (Wed 11/19): 5.1,5.2 -Using Fundamental Identities 5.4- Sum and Difference Formulas and their proofs
5.1/1,31,99 5.2/1,3,5, 5.4/1,3,7,37,51
Lesson 20 (Mon 11/24): 4.7 Difficulties with Inverse Trig Functions pp 326-327
Read 4.7 focussing on 326-327, Do 1.7/41, 1.8/49,63, 4.7/43,47,49,53,61,99
Lesson 21 (Wed 11/26): 3.1- Exponential Functions and Their Graphs
Credit Card and Student Loans Project due 12/3.
4.6/78, 3.1/1,3,7-10, 43, 45, 47, 55, 63
Lesson 22 (Mon 12/1): 3.2- Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms
3.2/1, 3, 9, 11, 13, 17, 19, 21, 23, 25, 39, 47, 65, 67, 73
3.3/19, 21, 23, 29, 37, 45, 47, 51, 61, 63, 65, 69, 71, 89, 97
Lesson 23 (Wed 12/3): 3.4- Exponential and Logarithmic Equations
Inverses of Functions with Exponentials due 12/8.
3.1/ 49. 57, 65, 67, 3.2/5, 7, 3.4/7, 11, 19, 23, 27, 29, 31, 35, 37, 87, 91, 109, 111, 127
Lesson 24 (Mon 12/8): 6.1 Law of Sines, 6.2 Law of Cosines
6.1/1,7,25 ,29,43, 6.2/1,3,43,45, 6.3/63,
Lesson 25 (Wed 12/10): 6.3 Vectors in a Plane (427-431) 6.4 Dot Products
6.3/1,3,7,13,15,19,67,87, 6.4/1,5,9,15,25,31
Review A.2, do A.2/5,9,11,31,33,
Lesson 26 (Mon 12/15): Review for the Final
Schedule three 2 hour study sessions before taking the practice final:
Study Session I: Go over Exams I and II and study the problems you got wrong. Then try similar problems from the homework and examples in the textbook. Review the examples recommended above each exam. Make sure you have memorized how to compute sine and cosine functions using the unit circle and know sin(30), sin(45), sin(60) etc. Study adding vectors and finding their magnitudes and unit vectors.
Study Session II: Memorize the addition formulas and memorize the law of sines and cosines. Practice the following examples:
5.1/2,5,8, 5.2/4,5, 5.3/1,2, 5.4/1,4,6a, 5.5/1,4, 6.1/1,4,5, 6.2/1
Study Session III: Next memorize the laws for exponentials and logs and then practice the following examples:
3.1/2,3,7,8, 3.2/4,7,9 3.3/3,4,5,6 3.4/3,7,8,9,10
Credit Card Project/Example 1,
Inverses of Exponentials and Logs Project/Example
If there is a formula you have difficulty memorizing practice rederiving it.
Then take the Practice Final as a two hour exam.
Lesson 27 (Wed 12/17): Review Sample Final Study key points you had difficulty with. Get plenty of sleep before the final.
Lesson 28 (Mon 12/22): Final Exam Emphasizing Exponentials