PreCalculus

PreCalculus
NOTE: Look for solutions to some HW on Cramster.com, Chegg, calcchat.com or some other similar website Amazing interactive graphics is provided on https://www.desmos.com/calculator/onfy0dzx2o 1
 * Assigned Homework: **

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3.1: __25__ __27__ 45 __51__ 55 __67 69 71 73 75__ 85 __89__ 3.2: __9 25__ __33 35__ 51 __61__ 69 __73 75__ __91__ 93 __97__ 3.3: __17 21__ 27 31 __35__ 37 __41__ 53 57 __63 65__ 81 __83__ __87 89__ 3.4: 55 __59__ 65 __69__ __91__ 97 __99 103__ __107__ __109__ 115 __119__ __121 125__ 129 133 3.5: 23 __25__ 33 __37__ __45 47 51 53 55 61__ 73 75 77 4.1: __17 25 27__ 43 __45__ __49__ 53 __57__ __61__ __67 73__ 77 89 __93 101__ 4.2: __29__ __31__ 33 __37 39 41 43 45 47__ __49 53 55 59__ 69 4.3: 13 __17__ __31__ 33 __39 41 44 49__ 57 __59 61 69 73__ 4.4: __23 25 29 33 35 39__ 47 55 65 __69 71 73 79 91 97__ 4.5: 25 __55 57 59 65 75__ __85 87 91 93__ 4.6: __ 17 23 31 35 __ 49 __ 59 61 __ 65 __ 73-76 __ 85 __ 87 __ 89 __ 91 93 95 __  4.7: __ 13 15 17 29 __ __ 49 51 53 __ __ 55 57 61 __ 83 __ 97 __ __ 106 or 111 __ slides from Ch 3 and 4 for exam preparation 3.1 slide 9-12 ,15,20,22,23,25 3.2 slide 11-14,19 3.3 slide 7,16-183.4 slide 9-11,14,15,17,19,203.5 slide 8,11,13,14,15,16,26,274.1 slide 9,11,12-15,20,21 4.2 slide 12,13,18 4.3 slide 8,9,13,14,15,22,234.4 slide 6,8,94.5 slide 9,12,14,15,18,19,20,22,25,274.6 slide 21,22 //5.1: __11 13 15 19__ __35__ 39 __45__ __53 55__ __63 67 71 77__ (Calc 81 97 101 107)// //5.2: __15 17 23 25__ __29 31__ __41 43 47__ 49 __59__ (Calc 61)// 5.3: 21 23 __27 31__ 35 37 39 __41 45 47__ 51 59 65 __67__ __89 91 93__ //5.4: 9 __31 39__ 41 __43 45 47__ 51 __57__ __61 65 67 77 81 83 89__// //5.5: __19 23 29__ 37 __45 49__ 55 __63 69__ __73__ 79 __85__ 97 __103__ 105 __115__ 125 131 __135__// //6.1: __5 7__ __27 29 31 33__ __43__ 49 __53 61__// //6.2: 7 __27 29 31 33__ __43 49 53 61__ //

PRECALCULUS_--_COURSE SYLLABUS
**Department** Department of Mathematics **Course Title** **Precalculus** **Course Number** Course code - MAT 120

=Course Text= Title: Precalculus Author: R. Larson and R.P. Hostetler Publisher: Houghton Mifflin Company ISBN: 978-1-4390-4577-0 Edition: 8 th

=Developer Dr. Leon Kaganovskiy =

=Last Update June, 2013 =

=Course Description=

=Course/Departmental Objectives=
 * Linear functions and their graphs
 * Quadratic, polynomial functions and their graphs
 * Exponential, logarithmic functions and their graphs
 * Right triangle trigonometry and applications
 * Graphs of the Sine and Cosine functions
 * Law of Sines and Cosines
 * Systems of Linear Equations and applications
 * Systems of Inequalities and applications

The purpose of this course is to:

Give the student a solid understanding of the various mathematical concepts found in Precalculus and to prepare student with all prerequisites to be ready to take Calculus I and II (MAT 121-2).

=Hardware/Software/Materials Requirements=

Calculator: A Scientific Calculator is to be brought to class every day.

=Course Requirements=

Attendance: It is important to arrive to class on time, and to attend class on a regular basis. An excessive number of latenesses and/or absences may result in a deduction of the final grade for the course.

--Homework Assignments: will be assigned at the end of each class meeting. Solutions to homework problems will be discussed at the beginning of the next class meeting.

Examinations: Two exams midterm and final will count 40% and 60% towards the final grade for the course.

=Grading Guidelines=

A. Student must attend class every day. B. Students must complete designated homework assignments. C. Students must take both exams.

=Methodology=

Every class shall begin with several students putting up on the board the answers to homework from the previous class. If no students are prepared with the answers, volunteers are chosen to be prompted thru the solution method at the board. Occasionally the teacher will put up the homework if new lessons are intended to be conveyed thru the homework. Occasionally, handouts are provided with tedious solved examples or tables and formulas. Lectures on new material start with a general overview, then the theory involved, and are followed up with detailed examples including all relevant special cases. Homework is then assigned for the next class. For one or two days prior to exams, review sessions are conducted to summarize the material relevant to the exam. Solutions to the exam questions are discussed during the next class after the exam.

COURSE CONTENT **Week by Week Assignments (Tentative)**


 * Weeks 1 & 2**


 * //Chapter 1- Function and Their Graphs//**

1.1 – Graphs of Equations 1.2 – Linear Equations in Two Variables 1.3 –Functions 1.4 –Analyzing Graphs of Functions 1.5 – A Library of Functions 1.6 – Shifting, Reflecting, and Stretching Graphs 1.7 –Combinations of Functions 1.8 –Mathematical Modeling


 * Weeks 3, 4 & 5**


 * //Chapter 2 – Polynomial and Rational Functions//**

2.1 – Quadratic Functions 2.2- Polynomial Functions of Higher Degree 2.3- Polynomial and Synthetic Division 2.4- Complex Numbers 2.5- Zeros of Polynomial Functions 2.6- Rational Functions 2.7- Partial Fractions


 * Weeks 6, 7 & 8**


 * //Chapter 3- Exponential and Logarithmic Functions//**

3.1- Exponential Functions and Their Graphs 3.2- Logarithmic Functions and Their Graphs 3.3 –Properties of Logarithms 3.4- Exponential and Logarithmic Equations 3.5- Exponential and Logarithmic Model


 * Weeks 9 & 10**


 * //Chapter 4- Trigonometry//**

4.1- Radian and Degree Measure 4.2- Trigonometric Functions: The Unit Circle 4.3- Right Triangle Trigonometry 4.4- Trigonometric Functions of Any Angle 4.5- Graphs of Sine and Cosine Functions 4.6- Graphs of Other Trigonometric Functions 4.7- Inverse Trigonometric Functions 4.8- Applications and Models


 * Week 11**


 * //Chapter 5- Analytic Trigonometry//**

5.1- Using Fundamental Identities 5.2- Verifying Trigonometric Identities 5.3- Solving Trigonometric Equations 5.4- Sum and Difference Formulas 5.5- Multiple-Angle and Product-to-Sum Formulas


 * Week 12**


 * //Chapter 6- Additional Topics in Trigonometry//**

6.1- Law of Sines 6.2- Law of Cosines 6.3- Vectors in the Plane (Optional) 6.4- Vectors and Dot Products (Optional)


 * Weeks 13 & 14**


 * Chapter 7- Systems of Equations and Inequalities**

7.1- Solving Systems of Equations 7.2- Two-Variable Linear Systems 7.3- Multivariable Linear Systems 7.4- Systems of Inequalities


 * Week 15- Final Examination Review**
 * Final Exams Week- In class, closed book, final examination**