Course title
Pre-calculus
Course description
This is a preliminary course for the calculus courses. Starting with functions and graphs, you will learn how to play with basic functions such as trigonometric functions, exponentials, and logarithms. You will also learn how to solve quadratic equations, how to draw the graph of quadratic functions as well as how to use polar coordinates to express complex numbers and solve basic equations with De Moivre's Theorem.
Students with enough background and understanding of the mathematics at the IB higher level do not need to take this course.
Purpose of class
Through this course, students will be able to obtain basic knowledge & understanding of mathematics required to take the course "Calculus I".
Goals and objectives

Goals and objectives Course Outcomes
1. Students will be able to compute the values of basic functions such as linear functions, quadratic functions, and polynomial functions and their combinations & inverses. Students will also be able to draw the graphs of those functions.
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2. Students will be able to solve quadratic equations. Students will also be able to use division of polynomials to solve basic polynomial equations.
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3. Students will be able to compute the values of exponential functions and logarithms as well as solve basic equations with those functions. Students will also be able to draw the graphs of exponential and logarithmic functions.
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4. Students will be able to compute the values of trigonometric functions and their inverses using laws of sines and cosines and trigonometric identities. Students will also be able to draw the graphs of those functions.
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5. Students will be able to express complex numbers using polar coordinates and solve basic equations using De Moivre's Theorem.
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Language
English
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Guidance
Real numbers
Algebraic expressions
Rational expressions
Review the content of the lecture (1.1-1.4 in the textbook) 100分
Work on homework problems 90分
2. Equations
Modeling with equations
Inequalities
Coordinate geometry
Review the content of the lecture (1.5, 1.7-1.9 in the textbook) 100分
Work on homework problems 90分
3. Functions
Graphs
Average rate of change
Linear functions
Review the content of the lecture (2.1-2.5 in the textbook) 100分
Work on homework problems 90分
4. Transformations of functions
Combining functions
Review the content of the lecture (2.6-2.7 in the textbook) 60分
Work on homework problems 130分
5. One-to-one functions and inverses
Polynomial functions
Review the content of the lecture (2.8, 3.1-3.2 in the textbook) 80分
Work on homework problems 110分
6. Dividing polynomials
Real roots of polynomials
Complex numbers and fundamental theorem of algebra
Rational functions
Review the content of the lecture (1.6, 3.3-3.6 in the textbook) 100分
Work on homework problems 90分
7. Mid-term presentation and discussions on the solutions afterwards Preparation for mid-term presentation 190分
8. Exponential functions and logarithms
Properties of logarithms
Equations with exponents and logarithms
Review the content of the lecture (4.4-4.6 in the textbook) 100分
Work on homework problems 90分
9. Trigonometric functions via the unit circle
Graphs of trigonometric functions
Review the content of the lecture (5.1-5.4 in the textbook) 80分
Work on homework problems 110分
10. Inverse trigonometric functions and their graphs
Trigonometric functions via right angles
Review the content of the lecture (5.5-5.6, 6.1-6.3 in the textbook) 100分
Work on homework problems 90分
11. Inverse trigonometric functions and right triangles
Laws of sines and cosines
Trigonometric identities
Review the content of the lecture (6.4-6.6, 7.1-7.2 in the textbook) 80分
Work on homework problems 110分
12. More identities on trigonometric functions
Working with equations involving trigonometric functions
Review the content of the lecture (7.3-7.5 in the textbook) 60分
Work on homework problems 130分
13. Polar coordinates Review the content of the lecture (8.1-8.3 in the textbook) 60分
Work on homework problems 130分
14. Final presentation and discussions on the solutions afterwards Preparation for final presentation 190分
Total. - - 2660分
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Homework Presentations Total.
1. 10% 5% 15%
2. 15% 6% 21%
3. 15% 6% 21%
4. 20% 8% 28%
5. 10% 5% 15%
Total. 70% 30% -
Evaluation method and criteria
Homework reports will contribute to 70% of the grade.
Presentations will contribute to 30% of the grade.
Those who get at least 60% of the full score will pass this course.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
The Others The lecturer will provide feedback on the classroom exercises and the student presentations in the classroom. Feedback on the assignments and the reports of presentations will be provided through ScombZ.
Textbooks and reference materials
Precalculus: Mathematics for Calculus (7th edition) by James Stewart, Lothar Redlin, Saleem Watson
ISBN: 978-1305071759
Prerequisites
There are no prerequisites.
Office hours and How to contact professors for questions
• By appointment. Contact e-mail address: ahmet@shibaura-it.ac.jp
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
• Course that cultivates an ability for utilizing knowledge
• Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals • 4.QUALITY EDUCATION