About the course:

Despite algebra and analysis seem very different languages, multivariable calculus and linear algebra are intimately related subjects. In calculus one approximates smooth functions with linear ones by taking their derivative. For functions of more than one variable, the linear objects themselves require some further study and this is the purpose of linear algebra.

The topics we will cover are: vectors, matrices, systems of linear equations, dot product, determinants, differential and integral calculus in more than one variable, divergence and curl, line and surface integrals, theorems of Green, Gauss, and Stokes.

Together with MAT 308, the course forms a 2-semester sequence covering the same material as the 3-semester sequence of MAT 205, MAT 211 and MAT 305 at a slightly more theoretical level. This means that we are going to move quickly and the course requires a considerable amount of work from you.

A grade of C or better in this course fulfils the Science, Technology, Engineering, and Mathematics (STEM+) objective in the Stony Brook Curriculum.

Prerequisite: MAT 127 or MAT 132. MAT 307 satisfies the STEM+ requirements building on the Master Quantitative Problem Solving (QPS) learning objectives met in these earlier courses.


Multivariable Mathematics, by R. Williamson and H. Trotter, 4th edition, Pearson.

We will cover Chapters 1, 2, 4, 5, 6, 7, 8, 9 of the book. For a precise list of the sections covered in each chapter see the Schedule & Homework section.

The book is densely written and it might take more than one reading to fully understand it. On the other hand, there is a lot of material on the textbook that cannot be covered during the lectures, so you are required to read the relevant sections in the book. Do insist and be patient and this will eventually pay off! You should contact me if you still have problems reading the textbook.

Lectures and recitations:

You are expected to attend both lectures and recitation every week.

Lectures give some basic understanding of the topics covered in the course. They should be taken as a guide through the materials of the textbook and a chance for you to ask questions about what you have read in the book.

Recitations will focus on examples and exercises. They are very important because one learns mathematics only by doing it.

Lectures            MW 4.00 pm - 5.20 pm          Library E4320           Lorenzo Foscolo

Recitation          M    5:30 pm - 6:23pm           Hvy Engr Lab 201     Shalin Parekh


Homework is assigned weekly. As much effort you put in reading the textbook should be directed to solve exercises. This is the only way for you to really understand the topics discussed during the lectures.

Every week I will assign a list of 15/16 exercises from the textbook. Homework assignments will appear on the Homework & Schedule page. Homework is due at the recitation meeting the following week and must be handed in to your recitation instructor. No late homework will be accepted.

A random selection of 7 exercises will be graded each week and will count towards the Homework grade (see below for the grading policy).

Office hours:

The lecturer and the recitation instructors hold office hours every week.  You are encouraged to see your lecturer or recitation instructor to discuss homework and other questions. You can also contact us via email to schedule an appointment at a different time.

Lorenzo Foscolo

Office hours: M 3-4pm, W 5.30-6.30pm in Math 2-121

                      Tue 11am-12 noon in the Math Learning Center

Room 2-121, Math Tower

Tel.: (631)-632-2807


Shalin Parekh

Office hours: Tue 2-3pm + Thu 1-2pm & 3-4pm in the Math Learning Center


Grading policy:

There will be two midterm exams worth 25% of the final grade each, a final exam (35%) and weekly homework (15%).

Homework policy is explained above. The dates of the exams are:

Midterm I         Wed October 1                4.00 pm - 5.20 pm        Library E4320

Midterm II        Wed November 12           4.00 pm - 5.20 pm        Library E4320

Final Exam       Tue December 9              8.30 pm - 11.00 pm      TBA

Make sure that you can attend the exams at the scheduled times as make-up exams will not be given. If one midterm exam is missed because of a serious (documented) illness or emergency, the semester grade will be determined based on the balance of the work in the course.

Information about the exams (topics covered, exam rules, etc.) will appear in the Exams section.

Other important dates are on the university Fall 2014 academic calendar.

If you need math help:

Your recitation instructor and lecturer are happy to help. Come to our office hours with questions on homework and lectures or write us an email. Additional help is also available at the Math Learning Center.

Disability Support Services (DSS) Statement:

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is confidential.  Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website: ]

Academic Integrity Statement:

Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology & Management, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their school-specific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at

Critical Incident Management Statement:

Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures.