Math 195 Lecture 0 - Class Intro

In the first paragraph, the instructor, Devon (or Jovan), introduces the precalculus course, math 195, and sets expectations for the class. Devon emphasizes the importance of participation and interaction, and provides personal contact information, including email and office hours. The syllabus is discussed, along with the class and math 195 websites, which will host important resources like electronic syllabi, videos, quizzes, and past finals. The instructor also mentions the textbook 'Precalculus 7th edition by Stewart' and clarifies the no-calculator policy for exams and quizzes, although calculators may be used for homework practice.

The second paragraph delves into the class policies, including the grading breakdown with details on quizzes, homework, in-class tests, participation, and the final exam. The importance of attendance is highlighted, with a policy that excessive absences could lead to failure. The instructor also discusses the expectations from students, emphasizing the necessity of a strong work ethic and a good foundation in algebra. The paragraph concludes with information about the homework platform, WebAssign, and its significance for the course.

In the third paragraph, the instructor warns students about 'blasphemies' or severe mathematical errors that should be avoided at all costs. These include canceling across sums, which is a critical mistake that leads to incorrect simplification. The instructor provides examples to illustrate these mistakes and their consequences, emphasizing the importance of understanding and adhering to proper mathematical procedures.

The fourth paragraph focuses on the correct approach to algebraic expansions, particularly the square of a binomial and the difference of squares and cubes. The instructor explains the proper way to expand expressions and the utility of certain algebraic formulas. The importance of not simplifying unnecessarily and recognizing when to apply these formulas is stressed, aiming to streamline problem-solving processes.

In this paragraph, the instructor continues the discussion on mathematical errors, specifically addressing the incorrect distribution of powers across sums and the concept of division by zero. The dangers of mishandling radicals as if they were simple powers are highlighted, along with the absolute prohibition of division by zero in algebra. The instructor emphasizes that these mistakes are not acceptable and must be avoided.

The fifth paragraph discusses the proper use of parentheses in algebraic expressions, especially when dealing with multiplication or subtraction. The instructor warns against the common mistake of omitting parentheses, which can lead to incorrect results. An example using the difference quotient is provided to demonstrate the necessity of including parentheses for accurate simplification.

In the sixth paragraph, the instructor shifts focus to the responsibilities of college students as adults. The importance of self-reliance, seeking help when needed, and managing one's academic performance is emphasized. The instructor clarifies that it is the student's responsibility to maintain their grades and scholarships, and that they should utilize available resources, such as tutoring and office hours, to succeed.

The seventh paragraph addresses the importance of communication between the instructor and students. The instructor expresses a willingness to receive feedback and encourages students to reach out with questions or concerns. The use of email for communication is highlighted, and students are advised to check their emails regularly for updates and announcements related to the course.

In this paragraph, the instructor outlines various resources available to students for academic support, including the instructor's own office hours, free tutoring services, online resources like Wolfram Alpha, and the value of forming study groups with classmates. The paragraph also mentions the importance of checking with disability services for potential accommodations and adheres to a strict policy against academic dishonesty.

The eighth paragraph provides an overview of the academic calendar, highlighting important dates such as holidays and exam periods. The instructor stresses the importance of being aware of these dates to avoid scheduling conflicts. Additionally, the paragraph lists the topics that will be covered throughout the course, indicating overlap with math 190 and suggesting that students who have taken that course may find some familiarity in the early parts of the syllabus.

The final paragraph describes a practice session for how quizzes will be conducted in the class. The instructor instructs students to pass their papers forward and use scrap paper for the quiz. The paragraph concludes with an open-ended 'yes,' possibly indicating a pause for questions or completion of the quiz demonstration.