MATH 11 CALCULUS III Course Syllabus
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MATH 11 CALCULUS III Course Syllabus
Winter Session, 2022
Course Description: This course is intended for computer science, engineering, mathematics and natural science majors. Topics in this third course include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, multiple integrals with applications, vector fields, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. The prerequisite is MATH 8 with a grade of C or better.
Format of Course: Lectures will be streamed through Zoom. Beginning Tuesday, January 4th, you will access the live lectures through canvas. On the left navigation menu, select ConferNow. During the lectures, you will have the opportunity to ask questions. Homework questions are usually taken at the beginning of class and the rest of the class period is spent learning new material. There will be a fifteen- mi n u t e break in the middle of class.
Homework: Homework will be assigned daily but not collected. The problems assigned are practice problems in understanding the material covered for the day. It has been known that a genuine understanding and completion of the homework results in quality performance. Supplemental homework may also be given during class.
Quizzes: There will be a quiz each week. It has been my nature to give quiz problems identical to the homework. Therefore, it would be in your best interest to do the homework. Each quiz is worth ten points. The lowest quiz score will be dropped.
Exams: There will be four exams and a final. Each exam is worth 100 points. The lowest exam will be scaled out of 50 points. So, if your test scores are 100, 90, 80, and 70, then your test average is (100+90+80+35)/350. The final is worth 200 points and is cumulative. You must show all necessary work to receive full credit.
Calculators: Although the use of personal calculators are not permitted for exams or quizzes, they can be useful for doing tedious calculations and graphing. I encourage you to check your answers on the calculator when doing your homework but do not become dependent on the calculator.
Grading:
The expectation is that a letter grade will be given using the following scale for the semester average: 90- 100%(A), 80-89%(B), 70-79%(C), 60-69%(D), 0-59%(F).
Format for Quizzes and Exams: Santa Monica College is committed to academic integrity of fully online courses. We care about student learning. Without accountability, student learning has been found to suffer. In actuality, academic dishonesty really is cheating yourself. The college's commitment to student success demands that instructors provide the proper tools to ensure academic honesty. Math faculty have chosen to require online proctoring for Canvas based exams and quizzes and will be using the online test proctoring service Proctorio. For more information, go to the General Exam Information on the homepage ofthis Canvas class page.
Academic Conduct: You are expected to abide by Santa Monica College’s code ofacademic conduct on all exams, quizzes and homework. Copying homework solutions or quiz or test answers from someone, web application or app is considered cheating as is altering a quiz or examination after it has been graded or giving answers to someone during an exam or quiz. If caught cheating or using an electronic device/app during an exam, the parties involved will receive a zero on the exam and an academic dishonesty report will be filed. Since attendance is essential for normal progress in class, a student is expected to be in class regularly and on time. Missing classes puts you in danger of being dropped. Note that missing one day of winter session is the equivalent of missing a week during the regular 16-week semester. There are no makeup quizzes or exams. No excuses. Refer to the school’s web page, www.smc.edu, for withdrawal dates. IT IS THE STUDENT’S RESPONSIBILITY TO
BE AWARE OF WITHDRAWAL DATES AND TO TAKE THE APPROPRIATE
NECESSARY STEPS. If a student does not withdraw and stops coming to class, the student will receive a failing grade.
Entry Skills for Math 11: Prior to enrolling in Math 8 students should be able to:
A. Apply concepts of limits, continuity and differentiability in two dimensions.
B. Differentiate and integrate exponential and logarithmic functions.
C. Differentiate and integrate transcendental functions and inverses.
D. Perform integral by parts.
E. Perform integration using trigonometric substitution.
F. Perform integration with powers of trigonometric functions.
G. Resolve indeterminate forms using L’Hopital’s Rule.
H. Set up Taylor Series representations of transcendental functions.
I. Use polar and parametric coordinates for plane curves.
Exit skills for MATH 11: Upon successful completion of this course, the student will be able to:
A. Perform the basic algebra of vectors including dot and cross products.
B. Write the equations of lines and planes in three dimensions, both in non-vector and vector forms.
C. Sketch planes, cylinders and quadric surfaces.
D. Distinguish between scalar-valued and vector-valued functions.
E. Differentiate and integrate vector-valued functions.
F. Represent curvilinear motion in vector form both algebraically and geometrically.
G. Find the derivatives of scalar-valued and vector valued functions of two or more independent variables.
H. Find extrema of functions of two of more independent variables by the Second Derivative Test
I. Evaluate double and triple integrals.
J. Use multiple integrals to solve various applied problems.
K. Use rectangular, cylindrical and spherical coordinates for graphing and the evaluation of multiple integrals.
L. Set up and evaluate line integrals and surface integrals and apply them to physical applications.
M. Apply Green’s Theorem, Divergence Theorem and Stoke’s Theorem.
N. Apply the concepts of the gradient, divergence and curl.
Learning Mathematics: It is important to know that learning mathematics takes time and consistent effort, especially in this remote learning environment. Attending class regularly, completing all assignments and reading class notes are essential for success in this course for most students. For help outside ofthe class and office hours, students are encouraged to go to the Math Lab. Here you will meet with Instructional Assistants and tutors to get one on one tutoring. The Math lab will operate remotely throughout the Winter session via Zoom, using the link below:
https://cccconfer.zoom.us/meeting/register/upcscu-urzguOWTocnILFozYsbFaPtqSYg
For the winter session, the Math Lab hours will be: Monday - Friday from 8 am to 10 pm and Saturday from 10 am to 6:30 pm. Note too that forming study groups outside of class may also offer further support.
2022-01-05