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Math 2433 Notes – Week 1 • Welcome! We will start at 6:30 pm. We will start off by going over some of the information you will need for the class. • Important: Any time you email me, please include the course name and section number in the subject line. Also, please use complete sentences and punctuation when emailing me. • Please log on to all sessions with Firstname Lastname • CASA – www.casa.uh.edu – If you do not have access yet, email the CASA tech support (name, id and class included in email). Note: if you registered late for the class, it takes a few days for you to be listed on CASA rolls. Also, for this week only, if you do not have access then email me your popper answers after class with Math 2433 LecPop01_1 in title. Be sure to include your name and id in the email • If you miss the lecture sessions then you will need to do the alternate assignment posted on online.math.uh.edu/courses under the corresponding week before the due date. • No homework will be accepted through email!!!!!! • No late homework accepted!!!! (Do not wait until last hour to upload homework and alternates – be sure to submit a minimum of 2 hours before deadline) • I do NOT drop any quiz grades. What I expect from you: • Be respectful to your fellow students and instructors. • Pay attention and let me know if you see a mistake. • Ask and answer questions. • Don’t wait until the end of the semester to tell me that you are having an issue. • Make it easy on us to give you the grades you want. LecPop01_1 1. What is today? a) b) c) d) e) Monday Tuesday Wednesday Thursday Friday 12.1 Cartesian Space Coordinates Ex: Give the equation of a plane that is parallel to the xz-plane that passes through the point (-1, 3, -2). LecPop01_1 2. The plane x=3 is parallel to the a) xy-plane b) yz-plane c) xz-plane • Distance Formula: • Midpoint Formula: • Equation of a Sphere: Examples: 1) Give the equation of the sphere that has A and B as the endpoints of a diameter. A (2, 0, -1) B (2, 1, 3) Examples: 2) Find the center and radius of Read section 12.2 12.3 Vectors A vector is an ordered triple (in space) where addition and multiplication by scalars holds. Vectors have a direction and a length (magnitude or norm). Examples: 1) Find the vector PQ and determine its norm given points P and Q. P(5,3,2), Q(-3,1,5) Examples: 2) Set a = (-5, -2, 6), b = (3, 0, 4), c = (-5, 1, 5). Find: 4a + b - 3c LecPop01_1 3. If you are given two points and wish to find the vector from one to the other, you a) Add b) Subtract c) Multiply d) Divide Two vectors are parallel (write ∥) if a = α b for some real number α If α >0, then a and b have the same direction. If α <0, then a and b have opposite directions. 3) Are any of the following vectors parallel? a = (1, -1, 2) b = (2, -1, 2) c = (3, -3, 6) d = (-2, 2, -4) LecPop01_1 4. Choose B 5. Choose A