2422 - Calculus III
  Fall 2023

 
Dr. Michael Prophet          Office Hours:  M 9-930am; W 1-2pm; Th: 2-2:30pm  
Office: WRT 320      
Office Phone: 273-2104                                         or by appointment
prophet@math.uni.edu 
11-12:15pm MWF; WRT 105
www.math.uni.edu/~prophet/courses/Calculus3 

Go Here For Assignments
Go Here For Announcements

Final Exam Date: 
       10:00 - 11:50 a.m.	Tuesday, December 12   

Prerequisites:

Calculus II

Credit Hours: 4

Note: This course meets the Course Credit Hour Expectation outlined in the Course Catalog. Students should expect to work approximately 2 hours per week outside of class for every course credit hour

Text:

Calculus: Multi-Variable (eigth edition), McCallum, et al.

Technology:

We will use (computer software) Maple this semester.

Course Organization:

Our coverage will be divided into four Categories:

          1. Introduction to multivariate functions (Chapters 12,13)

          2. Differentiation of multivariate functions with applications (Chapters 14,15)

          3. Integration of multivariate functions and Intro to Vector Fields (Chapters 16, 17)

          4. Vector-valued functions / vector fields (Chapters 18- 20)

         There will be an exam covering each Category

Course Learning Outcomes:

           1. Demonstrate the ability to analyze and visualize curves, surfaces, and regions in 2 and 3 dimensions, in Cartesian, polar, cylindrical, and spherical coordinate systems.

           2. Perform calculus operations on vector-valued functions including limits, derivatives, integrals, curvature, and the description of motion in space

           3. Perform calculus operations on functions of several variables including limits, partial derivatives, directional derivatives, and multiple integrals.

           4. Find and classify extrema and tangent planes of functions of two variables.

           5.  Apply some of the theorems of vector calculus, such as the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes' Theorem, to simplify integration problems.

           6. Apply the computational and conceptual principles of calculus to the solutions of various scientific and business applications.

Course Description: 

    The derivatives and integrals of multi-variable functions and their applications; Gauss', Green's, and Stokes' theorems.

Homework:

There is a homework assignment for every section we cover. While it will not be collected, it is (obviously) very important that you work through all assigned homework problems. Homework problems will appear on our quizzes and quiz problems will appear on our exams. Solutions to all assigned problems will be available under our Assignments link.

Quizzes:

We will have between 5 and 10 in-class quizzes during the semester. The quizzes will reflect problems you have practiced in class and in the Homework.

Exams:

• There will be 4 in-class exams, 100 points each.
• Exam 4 will be on the date and time of our Final Exam.
  
• With the exception of Exam 1, you can use a single 8x11 sheet of notes on each exam.
• There are no make-up exams. You are expected to take each exam on the day it is given.
  
• A missed exam results in 0-point score.
  

Grade Calculation:

The points for this course are distributed like this:

Quizzes	100 points
4 exams	400 points

    I will assign final grades based on the higher of your two averages: Quizzes + Exams (500 points) and just Exams (400 points).

Grading Scale:

100%-90%	A
89%-80%	B
79%-70%	C
69%-50%	D

Go Here For Additional UNI course information