# Linear Algebra and Statistics

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```					AMERICAN SCHOOL FOUNDATION OF GUADALAJARA APPLIED MATH 12TH GRADE Ms. June Mitsuhashi E-mail: june.mitsuhashi@asfg.mx Webpage: http://portal.asfg.mx/hs/june.mitsuhashi/default.aspx

Curriculum The Applied Mathematics course is focused on real life applications of mathematics. In the first semester students will learn basic statistics, while in the second semester students will work on financial mathematics topics such as linear programming, and loans and investments. The course is heavily based on using technology, specifically Microsoft Excel software. Beside the Excel, students will learn how to use graphing calculator for statistical purposes, and how to use Winplot software to graph systems of equations and inequalities. 1. Introduction to Statistics: This introduction unit focuses on statistics vocabulary. In addition, it discusses the positive sides of statistics, as well as its misuse. 2. Frequency Distributions and Graphs: The step that follows data collection is organizing and presenting the data in a meaningful way. This unit explores different ways of presenting data. 3. Data Description: in this unit students will learn how to analyze data by finding the measures of central tendency, variation, and position. 4. Correlation and Regression: This unit explains the methods of finding the correlation between two numerical variables. For example, if you’re math grades are good, would you expect your science grades to be god as well? 5. Probability: This unit focuses on basic probability rules for simple and compound events. 6. Systems of Linear Equations and Inequalities: In this unit students will learn how to solve systems of linear equations, how to graph systems of linear inequalities, and how to solve linear programming problems.

7. Matrices: In this unit students will learn how to perform basic matrix operations. In addition, they will learn how to use matrix multiplication to solve systems of linear equations. 8. Review for Ceneval: Stepping out of the main objective of this course, a substantial amount of time will be used to prepare students for the Ceneval exam. 9. Loans and Investments: Simple interest, compound interest, annuities, amortization are the main topics of this financial mathematics unit.

Grading Criteria Tests Homework Quizzes Participation Projects 40% 15% 15% 10% 20%

There will always be at least two chapter tests per quarter and two quizzes per chapter. The student will also be assigned one project per quarter as follows: 1. Graphs of trigonometric functions and their variations 2. Trigonometry and real world applications. 3. Conic sections and art or Conic Sections Around Us 4. Applications of exponential and logarithmic functions Extra Credit: Extra credit work will be given to students before the test date. Extra Credit is optional. It will give you 10 extra points on the test if it is complete. Exemptions: Students can exempt the semester or final exams with a 95 or above in both quarters. Material Pencil Eraser Sharpener Two letter size folders TI-89 Graphing Calculator Notebook (squares) Letter size pad (squares) (block de cuadrícula) Ruler

Textbook: Advanced Mathematical Concepts: Pre-calculus with applications. Each student is expected to bring its own material to class every day. Material cannot be shared specially during quizzes or tests.

Homework Notebook

The notebook should be divided into two sections: one for notes and the other one for homework. Each homework assignment must include the following: 1. Name of chapter 2. Chapter section 3. Date 4. Instructions 5. Problems with process and answers circled or underlined. Homework grade will be based on completion on time and 10 % on neatness and organization. No late homework will be accepted unless there is an excused absence. It will be corrected on a daily basis. Questions and doubts will be answered during class before going into a new objective. Homework will either be from the textbook or from worksheets. You are responsible to go to the Calculus website and print a copy of the homework worksheet that you will paste in your notebook. Homework will be signed at the beginning of each class period. If the teacher does not sign the homework during this time then it will count as a late homework and you will only get 50% of the credit. Make up work Make up work can only be done if you have an excused absence or tardy. You can copy the notes from a classmate’s notebook. You are responsible to look on the website for the homework, quiz, or test that you missed during your absence. Homework must be signed within 3 days after your absence.