Math 73: Multivariable Calculus (Spring 2025)
Instructor: Parran Vanniasegaram

Stewart
Email Address: Sithparran.Vanniasegaram@evc.edu

Phone Number: (408) 529-5386

Course Time: MTWTh 7:45 - 8:50 am

Course Documents/Videos/Notes: Syllabus | Introduction | Calendar | HWK Submission Schedule | Videos | Paul's Online Notes | Sunday and Tuesday Night Office Hours

Course Description: This is the third course in calculus for students majoring in mathematics, physical science, computer science, or engineering. In this course, the concepts of differential and integral calculus are extended to multivariable functions. The course content includes vectors in two and three dimensional space, vector-valued functions, differentials, gradients, multiple integrals, vector fields, line integrals, surface integrals, and vector calculus.

Time Commitment: This course is only recommended for students who are willing to put in the time necessary to be successful. Students are expected to spend at least two hours studying outside of class for each hour in class. Each week, there are 4 hours and 20 minutes of class time. That means that students are expected to spend at least 8 hours and 40 minutes outside of class each week. In total, students will be spending at least 13 hours with the class (time outside of class + time inside of class)! Again, don't take the class unless you are willing to put in the necessary time. There are many young college students who are willing to work hard at math. Click here for an example of one.

Textbook: Calculus: Early Transcendentals, 9th Edition, Stewart, Clegg, Watson (ISBN-13: 978-1337613927) (we will be covering Chapters 12-16)

Head Start/Recommended Videos: For those of you who are looking to get a head start on the course, I recommend watching multivariable calculus videos from the following four talented mathematicians:

Michael Hutchings (UC Berkeley Mathematics Professor, Harvard Math PhD)

Denis Auroux (UC Berkeley Mathematics Professor, Former MIT Associate Mathematics Professor, Ecole Polytechnique Math PhD)

Adrian Banner (Princeton lecturer, Princeton Math PhD)

Travis Kowalski (South Dakota Mathematics Professor, UC San Diego Math PhD)

Click here to see the videos organized by section and to see the course handouts (click on the links on the left).

Calculus Textbook Recommendations:
Calculus, 5th Edition, Swokowski (ISBN# 0-534-92492-1)
Thomas' Calculus Early Transcendentals, 13th Edition, Hass, Weir (ISBN-13# 978-0-321-88407-7)
Calculus Early Transcendentals, 2nd Edition, Briggs, Cochran, Gillett (ISBN-13# 978-0-321-9473405)

Teacher Recommendations: UC Berkeley Admissions | Common App Form

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