### Multivariable Calculus – MATH 430

CG • Section 8WK • 07/01/2018 to 12/31/2199 • Modified 09/05/2023

### Course Description

Develop an understanding of multivariate calculus, its structure, and applicability to functions and analytic geometry.

For information regarding prerequisites for this course, please refer to the Academic Course Catalog.

### Rationale

This course is an introduction to real multivariate calculus. After successful completion of this course the student should be able to calculate and explain all the major theorems and results of standard multivariable calculus.

Topics covered include the analysis of limits, continuity, differentiation, integration and power series for functions in one or more variables are developed. In addition, applications to optimization in several variables are discussed. The analytic geometry of curves and surfaces are analyzed with calculus. Integration of vector fields along curves and surfaces is developed and the major theorems  of vector calculus are detailed and applied. This course of study should prepare both teachers and students for further study or instruction of multivariable calculus.

### Course Assignment

Course Requirements Checklist

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in the Course Overview.

Homework Assignments (15)

Homework will cover the Learn material for the assigned module(s). Each homework is assigned through WebAssign, and the student will have 6 attempts for each problem. If the problem is incorrect 3 times, WebAssign will show the student the correct answer and give him/her 3 attempts at a similar problem. The student is encouraged to work out his/her solutions on paper using correct mathematical notation before entering his/her answers into WebAssign. A score of 70% must be obtained in order to access the following assignment/quiz/test for that module/week.

Quizzes (4)

Each quiz will cover the Learn material for the assigned module(s). Each quiz will be delivered within WebAssign, and they will be open-book/open-notes. The student is encouraged to work out his/her solutions on paper using correct mathematical notation before entering his/her answers into WebAssign. The student will have 3 attempts at each quiz.

Quiz: Exams (3)

Each exam will have a time limit of 2 hours and 45 minutes. Exams will be open-book/open-notes, and will be delivered within WebAssign. Written work for the exams must be submitted in Canvas immediately after completing the exam in WebAssign and before the due date/time. The student will complete the WebAssign exam AND submit a scan or picture of the written work in Canvas before the due date/time. Exams submitted without accompanying written work will not be accepted. There will be only 1 attempt at each exam.

Cumulative Final Exam Assignment

The student will have 3 hours and 30 minutes to complete the Final Exam. The Final Exam is a cumulative exam delivered within WebAssign. This is an open-book/open-notes, timed exam which must be completed in a single sitting. Written work for the Final Exam must be submitted in Blackboard immediately after completing the exam in WebAssign and before the due date/time. Exams submitted without accompanying written work will not be accepted. There will be only 1 attempt for the Final Exam.