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NULL (Grades 9 to 12)Precalculus for High School Students (ONLINE) 1/08 - 6/04

WPU SP22- Math 1160-060: Precalculus for High School Students

                                  

Course Objectives:

To further the understanding of the interpretation and analysis of mathematical functions such as: transcendental, exponential, logarithmic, and trigonometric. The approach will include but not be limited to both their mechanical algebraic behavior and their graphical appearance. Furthermore, there will be a great effort to integrate previous concepts to the current topics.

 

Student Learning Outcomes:

Homework, class participation, tests, and a final exam will be used to assess the Student Learning Outcomes.  Students will be able to:

 

  • Effectively write mathematical solutions in a clear and concise manner. Interpret/Evaluate quantitative and symbolic models, graphs, tables, and unit analysis.

 

  • Demonstrate ability to think critically by being able to use multiple approaches- numerical, graphical, symbolic, geometric and statistical- to solve problems. Perform algebraic computations and obtain solutions using equations and formulas.

 

  • Develop mathematical thinking and communication skills, including knowledge of a broad range of explanations and examples, good logical and quantitative reasoning skills, and facility in separating and reconnecting the component parts of concepts and methods.

 

  • Demonstrate intuitive and computational understanding of logarithms and trigonometric functions with and without the use of calculators.

 

  • Demonstrate the ability to integrate knowledge and ideas of functions and mathematical models to solve word problems.

 

Outline of Course Content:

  1. 1.     Understand and analyze exponential, logarithmic and trigonometric functions.
  2. 2.     Work with graphs of exponential, logarithmic and trigonometric functions.
  3. 3.     Demonstrate the ability to think critically when solving exponential, logarithmic and trigonometric equations.
  4. 4.     Organize information from applied problems and use the relevant information to solve them.
  5. 5.     Effectively express precalculus concepts in presenting solutions to problems involving algebraic and transcendental functions.

 

Teaching Methods:

This course is taught as a lecture course with student participation.

  1. Classroom lectures to illustrate concepts.
  2. Assignments to enhance concepts from textbook (This is the bulk of your commitment)
  3. Web-based resources for independent learning and practice (My Math Lab)
  1. Math Learning Center available for peer tutoring      

 

Course Expectations:

Written homework assignments may be collected when announced. Attendance to class is expected and will impact the grade outcome. Two absences with no reflection on grade (except missing an exam).

There are 4-5 Chapter Exams. There are no make ups- no exceptions! Students are responsible for material covered in class even when not present. Attend class on time and alert to class related tasks.

Keep cleanliness in the classroom.

 

Grades will be calculated using the following weights:

Homework                                                                  10%

Attendance                                                                  10%

Tests                                                                            50%

Final Exam                                                                  30%

 

The following grade scale will be used as a basis for grades:

 

  A 92 - 100 %         C 71 -   74
  A- 88 -   91         C- 68 -   70
  B+ 85 -   87         D+ 65 -   67
  B 81 -   84         D 60 -   64
  B- 78 -   80                
  C+ 75 -   77         F   0 -   59

 

Note on course grade: You must have a passing grade on either the semester test average or the final exam in order to pass the course.  In other words, homework cannot bring your overall average into a passing situation if you have a failing test average and fail the final exam.

 

Course Dates & Times

  • Saturday, January 8, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, January 15, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, January 22, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, January 29, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, February 5, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, February 12, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, February 19, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, February 26, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, March 5, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, March 12, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, March 19, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, March 26, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, April 2, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, April 9, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, April 16, 2022 – No class due to Spring Breaks
  • Saturday, April 23, 2022 – No class due to Spring Breaks
  • Saturday, April 30, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, May 7, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, May 14, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, May 21, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, May 28, 2022 (8:00 a.m. - 11:00 a.m.)
  • Saturday, June 4, 2022 (8:00 a.m. - 11:00 a.m.)

 

Topical Outline of the Course Content MATH 1160-60 SP22
I. Review of Functions 
  • Domain and Range of a Function
  • Even and Odd Functions
  • One-to-one Functions and the Horizontal Line Test
  • Inverse Functions
  • Graphs of One-to-one Functions and their Inverses
 
II. Exponential and Logarithmic Functions 
  • Exponential Functions
  • Graphs of Exponential Functions and their Properties
  • The Natural Base e 
  • Logarithmic Functions epitomizes
  • Graphs of Logarithmic Functions and their Properties
  • Solving Exponential and Logarithmic Equations
  • Exponential and Logarithmic Models
 
III. Trigonometric Functions 
  • Angles and their Measurement
  • Trigonometric Functions (using the unit circle)
  • Graphs of Trigonometric Functions
  • Domain and Range of Trigonometric Functions
  • Inverse Trigonometric Functions
  • Applications of Trigonometry
 
IV. Trigonometric Identities and Equations 
  • Elementary Trigonometric Identities
  • Sum and Difference Formulas
  • Double-Angle and Half-Angle Formulas
  • The Laws of Sine and Cosine
  • Trigonometric Equations
 
V. Conic Sections (Optional Topic) 

Instructor : David Johnson
Dates : 01/08/22 to 06/04/22
Days : Sat,Online
From : 8:00 AM - 11:00 AM
Fee : $ 699.00
Course Number : HS302

Class is full at this time please call 973-720-2354 to be placed on a waiting list


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