MATH 2415:
Prerequisites
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Regular and punctual attendance of classes and laboratories is required of all students. When a student has been ill or absent from class for approved extracurricular activities, he or she should be allowed, as far as possible, to make up for the missed work. If a student has not actively participated by the census date, they will be dropped by the instructor for non-attendance. This policy applies to courses that are in-person, online, hybrid, and hyflex.
Attendance in online courses is determined by submission of an assignment or participation in an activity. According to federal guidelines, simply logging into a distance learning course without participating in an academic assignment does not constitute attendance. Distance learning is defined as when a majority (more than 50%) of instruction occurs when the instructor and students are in separate physical locations. Students must engage in an academic activity prior to the course census date.
When an instructor feels that a student has been absent to such a degree as to invalidate the learning experience, the instructor may recommend to the Vice President of Instruction that the student be withdrawn from the course. Instructors may seek to withdraw students for non-attendance after they have accumulated the following number of absences:
Fall or spring semesters:
3 or more class meeting times per week - 5 absences
2 class meeting times per week - 3 absences
1 class meeting per week - 2 absences
The student is responsible for seeing that he or she has been officially withdrawn from a class. A student who stops attendance in a class without officially withdrawing from that class will be given a failing grade; consequently, the student must follow official withdrawal procedures in the Admissions/Records Office.
Please note: Health Science and Cosmetology courses may require more stringent attendance policies based on their accreditation agencies. Please see the addendum and/or program handbook for further information concerning attendance.
Panola College welcomes pregnant and parenting students as a part of the student body. This institution is committed to providing support and adaptations for a successful educational experience for pregnant and parenting students. Students experiencing a need for accommodations related to pregnancy or parenting will find a Pregnancy and Parenting Accommodations Request form in the Student Handbook or may request the form from the course instructor.
There are situations throughout the course where you may be permitted to use artificial intelligence (AI) tools to aide in further understanding of mathematical concepts. However, AI tools may not be used for any graded assignments including but not limited to exams, quizzes, and projects. Use of any AI-generated content in this course without the instructor’s consent qualifies as academic dishonesty and violates Panola College’s standards of academic integrity.
Communication Skills – to include effective development, interpretation, and expression of ideas through written, oral, and visual communication
Empirical and Quantitative Skills – to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions
Upon completion of MATH 2415, the student will be able to demonstrate:
- Competence in solving problems related to vectors in 2- and 3- dimensions and their applications
- Competence in determining and writing equations of surfaces in space
- Competence in solving problems related to functions in several variables
- Competence in problems related to limits and continuity
- Competence in determining the derivatives of various functions and using these to solve problems in maxima, minima, curvature, graphics, velocity, and acceleration
- Competence in determining single, double, and triple integrals of various functions and using these to solve problems in area, volume work, fluid pressure and mass moments
- Competence in solving problems related to vector fields
- Competence in determining line integrals and using these to solve problems related to work and mass
- Competence in applying Green’s and Stoke’s theorems
Upon successful completion of this course, students will:
- Perform calculus operations on vector-valued functions, including derivatives, integrals have curvature, displacement, velocity, acceleration, and torsion.
- Perform calculus operations on functions of several variables, including partial derivatives have directional derivatives, and multiple integrals.
- Find extrema and tangent planes.
- Solve problems using the Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
- Apply the computational and conceptual principles of calculus to the solutions of real-world problems.
A general description of lecture/discussion topics included in this course are listed in the Learning Objectives / Specific Course Objectives sections of this syllabus.
After studying the material presented in the text(s), lecture, laboratory, computer tutorials, and other resources, the student should be able to complete all behavioral/learning objectives listed below with a minimum competency of 70%.
- Find the component form of a vector.
- Use the properties of vector operations.
- Identify the direction cosines and angles for a vector.
- Calculate the projection of one vector onto another.
- Solve application problems using the dot and cross products.
- Determine the standard, parametric, and symmetric equations for a line in space.
- Determine the distance between a point and a line in space.
- Identify and sketch quadric surfaces.
- Convert equations and points between rectangular, cylindrical, and spherical coordinate forms.
- Determine derivatives and integrals of vector- valued functions.
- Solve application problems involving velocity and acceleration using vector-valued functions.
- Solve application problems involving arc length and curvature using vector-valued functions.
- Determine tangent and normal vectors to a surface in space.
- Calculate limits and continuity for functions of several variables.
- Determine partial derivative and differentials.
- Use the chain rule for functions of several variables.
- Calculate directional derivatives and gradients.
- Determine tangent planes and normal lines.
- Determine extrema and saddle point for functions of several variables.
- Determine Lagrange multipliers.
- Solve application problems involving area and volume using iterated integrals.
- Solve application problems involving center of mass, moments of inertia, and surface area.
- Solve application problems using triple integrals.
- Determine triple integral using cylindrical and spherical coordinates.
- Determine double integrals using a change of variables and the Jacobian.
- Use the properties of vector fields.
- Determine the curl of a vector field.
- Determine line integrals.
- Solve application problems for line integrals using independence of path.
- Determine surface integrals.
- Apply Green’s theorem and Stokes’ theorem to certain line and surface integrals.
Extended Hours:
For each concept course content listed about, 30 minutes of lecture/activity will be required outside of classroom instruction.
Methods of Instruction/Course Format/Delivery: Methods employed will include Lecture/demonstration have discussion, problem solving, analysis, and reading assignments. Homework will be assigned. Faculty may choose from, but are not limited to, the following methods of instruction:
- Lecture
- Discussion
- Internet
- Video
- Television
- Demonstrations
- Field trips
- Collaboration
- Readings
Assignments
Faculty may assign both in- and out-of-class activities to evaluate students' knowledge and abilities. Faculty may choose from – but are not limited to -- the following methods: attendance, class preparedness and participation, collaborative learning projects, exams/tests/quizzes, homework, internet, library assignments, readings, research papers, scientific observations, student-teacher conferences, and written assignments.
The Mathematics Department does not accept late work.
Assessments
Assessment(s):
- Exam per Chapter
- Comprehensive Final Exam
|
Assignment Weights |
- Daily Grades 25%
- Major Exams 50%
- Comprehensive Final Exam 25%
Letter Grades for the Course will be assigned as follows:
A: 90 < Average < 100
B: 80 < Average < 90
C: 70 < Average < 80
D: 60 < Average < 70
F: 00 < Average < 60
- Textbook: Contemporary Calculus by Dale Hoffman (No Purchase Necessary)
- Lumen OHM (No Purchase Necessary)
- Canvas Access
- Scientific Calculator
- Courses conducted via video conferencing may be recorded and shared for instructional purposes by the instructor.
- For current texts and materials, use the following link to access bookstore listings: https://www.panolacollegestore.com.
- For testing services, use the following link: https://www.panola.edu/student-services/studentsupport/academic-testing-center.
- If any student in this class has special classroom or testing needs because of a physical learning or emotional condition, please contact the ADA Student Coordinator in Support Services located in the Charles C. Matthews Student Center or go to https://www.panola.edu/studentservices/student-support/disability-support-services for more information.
- Withdrawing from a course is the student’s responsibility. Students who do not attend class and who do not withdraw will receive the grade earned for the course.
- Student Handbook: https://www.panola.edu/ (located on at the bottom under student)