CSU MARITIME ACADEMY DEPARTMENT OF SCIENCES AND MATHEMATICS MATH 212, SECTION 1, 2, & 3, FALL 2018 CALCULUS III

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1 CSU MARITIME ACADEMY DEPARTMENT OF SCIENCES AND MATHEMATICS MATH 212, SECTION 1, 2, & 3, FALL 2018 CALCULUS III Instructor: Brent Pohlmann Office Location: Faculty Office #211 Telephone: Office Hours: TWTh 19:30-20:20 Class Days/Time: TWThF, 16:30-17:20, 17:30-18:20, 18:30-19:20 Classroom: Tech 106 Prerequisites: A C- or better in Math 211. Corequisites: None. GE Studies Category: B4 Course Description: An introduction to the algebra and calculus of vectors. Presented are functions of several variables and partial differentiation, as well as multiple integration and vector analysis. Student Learning Outcomes: Upon completion of this course, the student should be able to: Perform and apply vector operations, including the dot and cross product of vectors, in the plane and space. Graph and find equations of lines, planes, cylinders and quadratic surfaces. Differentiate and integrate vector-valued functions. For a position vector function of time, interpret these as velocity and acceleration. Evaluate limits and determine the continuity and differentiability of functions of several variables. Describe graphs, level curves and level surfaces of functions of several variables. Find arc length and curvature of space curves, including the use of unit tangents and unit normals; identify and interpret tangential and normal components of acceleration. Find partial derivatives, directional derivatives, and gradients and use them to solve applied problems. Find differentials of functions of several variables and use them to solve applied problems. Find equations of tangent planes and normal lines to surfaces that are given implicitly or parametrically. Use the chain rule for functions of several variables (including implicit differentiation).

2 For functions of several variables, find critical points using first partials and interpret them as relative extrema/saddle points using the second partials test. Find absolute extrema on a closed region. Apply these techniques to optimization problems. Use Lagrange multipliers to solve constrained optimization problems. Evaluate multiple integrals in appropriate coordinate systems such as rectangular, polar, cylindrical and spherical coordinates and apply them to solve problems involving volume, surface area, density, moments and centroids. Use Jacobians to change variables in multiple integrals. Evaluate line and surface integrals. Identify when a line integral is independent of path and use the Fundamental Theorem of Line Integrals to solve applied problems. Find the curl and divergence of a vector field, the work done on an object moving in a vector field, and the flux of a field through a surface. Use these ideas to solve applied problems. Introduce and use Green s Theorem, the Divergence (Gauss ) Theorem and Stokes Theorem. Student Learning Objectives: During this course, students will demonstrate their ability to: Apply mathematical techniques and reasoning to solve problems in mathematics. Create mathematical expressions from word or application problems and analyze those expressions applying mathematical principles. Understand practical aspects of mathematics problems. Understand the benefits and limitations of applying mathematical techniques to problems in mathematics. Use deductive reasoning and critical thinking to solve problems. Required Texts/Readings: Textbook: Thomas Calculus, Early Transcendentals: Single Variable, 12th edition. This book can be purchased via the bookstore or from one of the many online textbook book sellers such as Amazon. It s also quite easy to find free, downloadable versions. Other Readings: The webpage for this course can be found at It is your job to follow this blog. When you login to the website, in the lower right hand corner will be an icon to follow the blog. Click on this icon and use whatever account you use the most to follow.

3 Other Equipment/material requirements: N/A Library Liaison: Amber Janssen, Classroom Protocol: Do not text during class. If your texting beomes excessive, I will give you a 0 on the upcoming midterm. If I warn you more than once that you re texting too much, that is excessive. Do not get up and leave at your leisure, unless you re using the restroom. If you are caught cheating on a midterm exam, you will receive a 0 for that exam and the one following it. If you cheat on the final exam, you will get a 0 for that exam and the one preceding it. Assignments and Grading Policy: Your final grade will be determined as follows. Homework 15% 3 Midterm Exams 60% Final Exam 25 % Total 100% Grading Scale: 90% - 100% A 80% - 89% B 70% - 79% C 0% - 69% F Homework: Homework will be assigned on most days and collected once a week, most likely on Fridays. The lowest homework set will be dropped. When you turn in homework it must be stapled. I do not accept work that is not stapled. Exams: Three in-class exams will be given this term. I will try my best to communicate with your other professors so we don t have midterms on the same day. Your help in this matter is greatly appreciated! Please speak up if I suggest a midterm date and you have one in another class on the same day. As a general policy I do not give make-up exams. If you have to miss one of the midterms for a Cal Maritime sanctioned event, you are allowed a make-up exam. However, the make up exam must take place before the event and you must give me ample warning of said event. Final Exam: The final exam will be administered during finals week and will be comprehensive. Calculators: Calculators are not allowed on the midterm exams. However, for homework a calculator and certain software can be a fantastic aid when used accordingly.

4 University Policies: Dropping and Adding Classes: Students are responsible for understanding the policies and procedures about add/drops, academic renewal, etc. Information on add/drops are available on the campus website and at: Students should be aware of the current deadlines and penalties for adding and dropping classes. Academic Integrity: Students should know that the University s Academic Integrity Policy is available at: Your own commitment to learning, as evidenced by your enrollment at Cal Maritime and the University s integrity policy, require you to be honest in all your academic course work. Instances of academic dishonesty will not be tolerated. Cheating on exams or plagiarism (presenting the work of another as your own, or the use of another person s ideas without giving proper credit) will result in a failing grade and sanctions by the University. For this class, all assignments are to be completed by the individual student unless otherwise specified. Student Technology Resources: Computer labs for student use are detailed below. Please see the postings outside the labs to see when classes are scheduled for these locations. Otherwise, hours are listed as below. Classroom 105 is open 24/7 via portpass and Lab 101 is open during posted hours. Student Engagement & Academic Success (SEAS) Center: SEAS is available to all students for learning, testing and accommodations for a variety of services including wrap-around accessibility support. Services provided through the SEAS include: Reduced distraction testing spaces Tutoring Access to assistive Technologies/Software Proctored testing Accessibility coordination with other departments on campus MAT 212, Calculus III, Fall 2018, Course Schedule: Please note this schedule is subject to change. The week of the midterms will remain fixed but the day may change based on what other midterms your cohort may have in the same week. I will work diligently to make certain there is little to no overlap.

5 Week Date Topics, Reading, Assignments, Deadlines 1 8/20-8/24 Vectors and the Geometry of Space 2 8/27-8/31 Vectors and the Geometry of Space HW 1 Due 3 9/3-9/7 Vector-Valued Functions and Motion in Space, HW 2 Due 4 9/10-9/14 Vector-Valued Functions and Motion in Space, HW 3 Due, Midterm 1 5 9/17-9/21 Partial Derivatives, No HW Due 6 9/24-9/28 Partial Derivatives, HW 4 Due 7 10/1-10/5 Partial Derivatives, HW 5 Due 8 10/8-10/12 Partial Derivatives, HW 6 Due, Midterm /15-10/19 Multiple Integrals, No HW Due 10 10/22-10/26 Multiple Integrals, HW 7 Due 11 10/29-11/2 Multiple Integrals, HW 8 Due 12 11/5-11/9 Multiple Integrals, HW 9 Due, Midterm /12-11/16 Integration in Vector Fields, No HW Due 14 11/19-11/23 Thanksgiving Break, No HW Due 15 11/26-11/30 Integration in Vector Fields, HW 10 Due 16 12/3-12/7 Integration in Vector Fields, HW 11 Due 17 12/11-12/14 Final Exam Week

SOUTHWEST COLLEGE Department of Mathematics

SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2415: CALCULUS III (DISTANCE EDUCATION) SPRING 2015 / SS TERM / CRN 48306 / FEBRUARY 14 MAY 17/ INSTRUCTOR: Dr. Jaime L. Hernández CONTACT