Math 1B Syllabus. Course Description. Text. Course Assignments. Exams. Course Grade

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1 Course Description Math 1B Syllabus This Pre-Calculus course is designed to prepare students for a Calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Emphasis is placed on understanding the properties of linear, piece-wise, exponential, logarithmic and trigonometric functions. Students will learn to work with various types of functions in symbolic, graphical, numerical and verbal form. Text For this course we will be using Precalculus by Barnett, Ziegler and Byleen. A loose-leaf version of the book packaged with ALEKS software is available from the UCI bookstore. (Note: They will ship books!) ALEKS software is mandatory for this course. You will not be able to access the assignments or exams without it. You can either buy the software bundled with your text from the UCI bookstore, or buy ALEKS directly from the company website at Course Assignments All of the homework/assignments for this course will be done in the software system called ALEKS. In ALEKS, you will be able to assess your current Pre-Calculus knowledge and then work through problems covering the content material of this course. All of the lessons for this course are embedded in ALEKS. There are no lectures for this course, but there are numerous short topic videos and instructional items available. For more information on how to use ALEKS, please see the "ALEKS" portion of the course website. Exams There will be one midterm and one final exam for this course. More details about the dates and logistics of taking these exams can be found under the "Examinations" portion of the course website. Course Grade Grades in this course will be determined based on your ALEKS assignments and one midterm and one final exam according to the breakdown: 15% ALEKS Intermediate Objective # 2

2 30% Midterm Exam 40% Final Exam Letter grades will be assigned based on the student s total percentage according to Topics 97+ : A+, : A, : A-, : B+, : B, etc. In this course, you will be learning about the following material. Note that each student may work through the material at his or her own pace and not every student will follow the topics in exactly this order. The first midterm however will cover all the material prior to that exam on this list. SECTION R1-R4 TOPIC Algebra Review 1.1 Linear Equations 1.2 Linear Inequalities 1.3 Absolute Value in Equations and Inequalities 1.5 Quadratic Equations 1.6 Additional Equation Solving Techniques 3.1 Functions 3.2 Graphing Functions 3.3 Transformations of Functions 3.4 Quadratic Functions 4.1 Polynomial Long Division 3.6 Inverse Functions Midterm 5.1 Exponential Functions 5.3 Logarithmic Functions 5.5 Exponential and Logarithmic Equations 6.1 Angles and their Measure 6.2 Trigonometric Functions: A Unit Circle Approach 6.3 Solving Right Triangles 6.4 Properties of Trigonometric Functions 6.6 Inverse Trigonometric Functions 7.1 Basic Identities and Their Use

3 7.2 Sum, Difference and Cofunction Identities 7.3 Double-Angle and Half-Angle Identitites 7.5 Trigonometric Equations 8.1 Law of Sines 8.2 Law of Cosines Final

4 Math 1A Syllabus Course Description This pre-calculus course is designed to prepare students for Calculus course. It is taught so that students will acquire a solid foundation in algebra. The course concentrates on the various functions that are important to the study of the calculus. Emphasis is placed on understanding the properties of linear, polynomial and rational functions, including inequalities and complex numbers. Students will learn to work with various types of functions in symbolic, graphical, numerical and verbal form. Course Assignments All of the homework/assignments for this course will be done in a software system called ALEKS. In ALEKS, you will be able to assess your current pre-calculus knowledge and then work through problems covering the content material of this course. All of the lessons for this course are embedded in ALEKS. There are no lectures for this course, but there are numerous short topic videos and instructional items available. For more information on how to use ALEKS, please see the ALEKS portion of the course website. Exams There will be one midterm and one final exam for this course. More details about the logistics of taking these exams can be found somewhere. Course Grade Grades in this course will be determined based on your ALEKS assignments and one midterm and final exam according to the breakdown: 30% Midterm Exam 40% Final Exam Letter grades will be assigned based on the student s total percentage according to 97+ : A+, : A, : A-, : B+, etc. Text Precalculus by Barnett, Ziegler and Byleen. E-book version packaged with ALEKS.

5 Topics: Section Topic R1 Introduction, Algebra and Real Numbers R2 Exponents and Radicals R3 Polynomials: Basic Operations and Factoring R4 Rational Expressions: Basic Operations 1.1 Linear Equations 1.2 Linear Inequalities 1.3 Absolute Value in Equations and Inequalities 1.4 Complex Numbers 1.5 Quadratic Equations 1.6 Additional Equation Solving Techniques 2.1 Cartesian Coordinate System 2.2 Distance in the Plane 2.3 Equations of a Line 2.4 Linear Equations and Models, Review Midterm 3.1 Functions 3.2 Graphing Functions 3.3 Transforming Functions 3.4 Quadratic Functions 3.5 Operations on Functions, Composition 3.6 Inverse Functions 4.1 Polynomial Functions and Models 4.2 Real Zeros and Polynomial Inequalities 4.3 Complex Zeros and Rational Zeros of Polynomials 4.4 Rational Functions and Inequalities Final