Math 227 -Calculus III- Fall 2022

Welcome to Math 227!

Instructor: Juan Orendain
E-mail: juan.orendain[at]case[dot]edu
Office: Will appear soon
Office hours: Will appear soon

Schedule: Mon Wed Fri: 11:40am -12:30pm
Location: Yost Hall 102

Text: J. Rogawski and C. Adams, R. Franzona, Calculus: Early trascendentals, third edition, Macmillan. 

Course description: Introduction to vector algebra; lines and planes. Functions of several variables: Partial derivatives, gradients, chain rule, directional derivative, maxima/minima. Multiple integrals, cylindrical and spherical coordinates. Derivatives of vector valued functions, velocity and acceleration. Vector fields, line integrals, Green's theorem. 3 credit hours.

Material to be covered from the text: Most of the material in Chapters 12-17

Homework: Homework will be assigned daily and collected weekly. Answers should be written in pencil on plain printer paper. Please write the number and statement of each problem above its solution, and write your name at the top of the page. Homework will be collected and scored on a 0-10 scale, based on clarity, legibility, completeness, and correctness.

Tests: Tests will be given after Chapter 13, Chapter 14, and Chapter 17. The dates of the tests will be announced later. The final exam will be given during the scheduled Final exam time.

Grades: The three in-class exams will each count 10% of the grades and the final exam will count 30%. The remaining 40% of the grade will be based on homework, quizzes and class participation.

Discord: I have created a Discord server for the group to discuss homework, tests, etc. I will serve as moderator but won’t participate much. If you wish to be added, please send me an E-mail.

Prerequisites: Math 124 or placement by the department.

General schedule


Calculus of vector valued functions

Differentiation in several variables

Integration in several variables
Book chapters



Number of weeks




Weekly schedule