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Course Syllabus

Course: MATH 2210

Division: Natural Science and Math
Department: Mathematics
Title: Calculus III

Semester Approved: Spring 2019
Five-Year Review Semester: Summer 2024
End Semester: Fall 2024

Catalog Description: This course is a continuation of the study of calculus. Topics include vectors in two and three-dimensional space, quadric surfaces, cylindrical and spherical coordinates, calculus of vector-valued functions, partial derivatives and the gradient, limits and continuity of functions of several variables, vector fields and line integrals, multiple integrals, Green's, Stoke's, and Divergence Theorems.


Semesters Offered: Fall, Spring
Credit/Time Requirement: Credit: 3; Lecture: 3; Lab: 0

Prerequisites: Math 1220 with a C or better

Justification: Calculus is a required topic in a wide variety of major programs including, but not limited to, mathematics and mathematics education, many areas of engineering, physics, chemistry, and other science intensive areas. This course is similar to other third semester calculus courses taught across the state.


Student Learning Outcomes:
Students will demonstrate understanding of, and solve problems involving vector-valued functions. Students will be assessed through exams and the instructor's choice of additional assessment through homework, quizzes, group work, projects, and/or presentations.

Students will demonstrate understanding of, and solve problems involving partial derivatives. Students will be assessed through exams and the instructor's choice of additional assessment through homework, quizzes, group work, projects, and/or presentations.

Students will demonstrate understanding of, and solve problems involving multiple integrals in a variety of coordinate systems (rectangular, cylindrical, spherical). Students will be assessed through exams and the instructor's choice of additional assessment through homework, quizzes, group work, projects, and/or presentations.

Students will demonstrate understanding of and solve problems involving integration in vector fields (including Green's Theorem, Stokes' Theorem, and the Divergence Theorem). Students will be assessed through exams and the instructor's choice of additional assessment through homework, quizzes, group work, projects, and/or presentations.

Students will gain familiarity with a computational software package such as Maple, Matlab, Maxima, Python, SageMath, Mathematica, etc. Students will be assessed through homework, quizzes, group work, projects, and/or presentations.


Content:
• Vectors and vector-valued functions
• Partial derivatives and applications
• Multiple integrals and applications
• Integration in vector fields
• Green's Theorem
• Stokes' Theorem
• Divergence Theorem

Key Performance Indicators:
Group Work/Participation 0 to 15%

Presentations/Projects 0 to 20%

Quizzes 0 to 20%

Homework 5 to 25%

Midterm Exams 20 to 70%

Final Exam 15 to 35%


Representative Text and/or Supplies:
Weir, Thomas’ Calculus: Early Transcendentals, Current Edition, Pearson


Pedagogy Statement:
Instructors can use a variety of teaching methods including lectures, readings, activities and projects both inside and outside of class, and technology activities that may require either the use of a laptop in class or a visit to a computer lab.

Instructional Mediums:
Lecture

Maximum Class Size: 36
Optimum Class Size: 20