Syllabus for College Now Precalculus, MAT172

Professor Sormani,

Mondays and Wednesday 4:05-5:55pm: We do not meet 2/18, 2/21, 3/24, 4/21, 4/23,
Text: R. Larson and R.P. Hostetler Precalculus, Houghton Mifflin Company 6th Edition (pick up at 189 Carmen Hall before Wed class)
Supplies: A spiral notebook of graph paper for notes. A cheap scientific calculator with buttons for sin, cos, tan, Ln, and Log.
We have 26 lessons to prepare you for calculus. Be ready for a fast fun course that will challenge you like never before.
If you've never seen the movie "Stand and Deliver", rent it now and watch it with your family so they know what you're up to.
Homework: Odd problems have answers in the back of the text so you can check your work before proceeding to the next problem. Working with study partners can make homework easier and more fun. Help is available at the Math Lab Gillet Hall 222 Monday-Thursday, and in my office, Gillet 200B, Monday and Wednesday 3-4pm. You may also email me questions: sormanic at member.ams.org Special graded homework projects are part of the final grade.
Exam I is 15%, Exam II is 20%, Classwork is 5%,
Max/Min Project, Inverses Project, Trig Project, Credit Card Project Inverses of Functions with Exponenetials Project are 5% each totalling 30%,
The final is 30% of the grade.
Syllabus: If you miss class read the section and do the homework.

Lesson 1 (1/30): A.3, A.5 - Review Polynomials and Factoring
Weekend Review: A.2 and A.4, Check the answers to all your homework in the back of the book.
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,
Lesson 2 (2/4): 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 (2/6): 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 (2/11): 1.3- Functions 1.4 Analyzing Graphs of Functions
1.1/Read page 7, do 1.1/57, 59, 63, 67, 74
1.2/ Read page 19, do 1.2/39, 87, 91, 13, 17, 81
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 (2/13): 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
No meeting during winter recess
Lesson 6 (2/25): 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 (2/27): 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 (3/3): Exam I on Functions and Graphing
Lesson 9 (3/5): 1.7 Composition of functions, A.3, 2.1- Maximizing Quadratic Functions
A.5/ 83, 85, 87,
Read 1.7, Do 1.7/ 5, 9*, 27, 35, 37, 39, 43, 51, 53, 55, 59
Read 2.1/Examples 1-2 Do 2.1/1,3,5,7, 43, 45, 17, 19, 31
Lesson 10 (3/10): Max Min Problems
Read 2.1/ Example 2 Do 2.1/17, 19, 23, 25, 29, 31
Max-Min Problem Project due 3/20
Lesson 11 (3/12): 1.8- Inverse Functions, emphasize graphing!
Read 1.8, do 1.8/1,3,13, 15, 17, 25, 27, 31, 39, 41, 63
Lesson 12 (3/17): 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 13 (3/19): 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
Inverses Project (1.8/ 22, 44, 46, 50, 64, 82, 84, 92) due 4/3
No Meeting March 24, Lehman Closed
Lesson 14 (3/26): 4.1- Radian and Degree Measure 4.2- Trigonometric Functions: The Unit Circle, Mention the pythagorean identity
Online Unit Circle Project will be started in class and due 4/3.
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 (3/31): 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 (4/2): 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, 1.7/41, 1.8/49,63 4.6/78, 3.1/1,3,7-10, 43, 45, 47, 55, 63
Lesson 17 (4/7): 4.7- Inverse Trigonometric Functions pages 322-325 (review 1.8/ Ex 6-7)
Lesson 18 (4/9): Review
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 19 (4/14): Exam II on Inverses, Rationals and Trigonometry
1.7, 1.8, 2.1, 2.2, 2.6, 4.1-4.7
Lesson 20 (4/16): 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
Trigonometry Project (4.7/50, 54, 58, 100, 102, 108, 4.8/ 26, 39, 40, 42, page 406/7) due 5/5
No meetings during Spring Break
Lesson 21 (4/28): 6.1 Law of Sines, 6.2 Law of Cosines
6.1/1,7,25*,29,43, 6.2/1,3,43,45,
Review A.2, do A.2/5,9,11,31,33
Lesson 22 (4/30): 3.1- Exponential Functions and Their Graphs
Credit Card and Student Loans Project due 5/12.
3.1/ 49. 57, 65, 67, 3.2/5, 7,
Lesson 23 (5/5): 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 24 (5/7): 3.4- Exponential and Logarithmic Equations
Inverses of Functions with Exponentials due 5/12.
3.4/7, 11, 19, 23, 27, 29, 31, 35, 37, 87, 91, 109, 111, 127
Lesson 25 (5/12): Review for the Final
Lesson 26 (5/14): No meeting, Practice Final in Library or go to tutoring center
Check out a Practice Final. There will be more exponentials on your final. Get plenty of sleep the night before the exam.
Schedule three 2 hour study sessions before the real 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 the Max-Min project particularly problems 1,2,7,8.
Study Session II: Then go over 4.7 pages 326-327 carefully. Then memorize the addition formulas, learn how to rederive the double angle formulas from them, 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. Bring questions to Monday's review class.

Extra Class on Mon 5/19

Final on Wed 5/21.