MAT 131 (CALCULUS I)-Spring 2021


Course Description: This is a course in differential calculus and integral calculus where you will learn about derivatives and integrals and their applications as well as the amazing connections that exist between them! Calculators will not be used this semester. By the end of the course, students will be able to compute limits, derivatives, and antiderivatives and apply them to a variety of situations in and outside mathematics. There will be a focus on concepts and theory as well as computations and applications. Topics will be addressed numerically, algebraically, and graphically. This is an exciting 4 credit course which will require a great deal of your attention! A grade of C or higher in this course may be used to satisfy the Quantitative Problem Solving requirement of the Stony Brook Curriculum. This lecture is synchronous online. You will need a webcam and microphone with your computer. Office hours will be posted soon and will be via zoom.

Lecturer: Bill Bernhard (

The meeting time of all lectures and recitations with instructor names can be found under MAT 131 at

Required materials: Calculus Volume 1-OpenStax and webassign.

Grading: Exam #1 (20%) Monday, 3/1 during lecture on zoom

Exam #2 (20%) Monday, 3/29 during lecture on zoom

Final Exam (40%)Wednesday, 5/12 at 11:15am on zoom

Recitation Attendance (10%)

WebAssign (10%) Students will be assigned web-based exercises using an online system. You can purchase your access code at Your class key is sunysb 5945 7110. Assignments are due weekly on Sunday night at 11:59PM. There are no extensions or make-ups.

Daily syllabus:

2/3-definition of the derivative (3.1)

2/8-power rule and the second derivative (3.3,4.5)

2/10-optimization (4.7)

2/15-differentation (3.3, 3.5)

2/17-chain rule (3.6,3.7,3.9)

2/22-implicit differentiation (3.8, 4.2)


3/1-exam #1

3/3-related rates (4.1)

3/8-limits to infinity (4.6)

3/10-LíHospitalís Rule (4.8)

3/15-continuity (2.4)

3/17-differentiability (3.2)



3/29-exam #2

3/31-numerical integration (5.1)

4/5-definition of Riemann integral (5.2)

4/7-indefinite integrals (4.10)

4/12-u substitution (5.5,5.6)

4/14-fundamental theorem part 1(5.4)

4/19-fundamental theorem part 2 (5.3)

4/21- fundamental theorem part 2 (5.3)

4/26- fundamental theorem part 2 (5.3)





Student Absences Statement

Students are expected to attend every class, report for examinations and submit major graded coursework as scheduled. If a student is unable to attend lecture(s), report for any exams or complete major graded coursework as scheduled due to extenuating circumstances, the student must contact the instructor as soon as possible.  Students may be requested to provide documentation to support their absence and/or may be referred to the Student Support Team for assistance. Students will be provided reasonable accommodations for missed exams, assignments or projects due to significant illness, tragedy or other personal emergencies. In the instance of missed lectures the student is responsible for working with us to gather appropriate resources to learn the missed material.Please note, all students must follow Stony Brook, local, state and Centers for Disease Control and Prevention (CDC) guidelines to reduce the risk of transmission of COVID. For questions or more information click here.


DSS advisory: If you have a physical, psychiatric, medical, or learning disability could adversely affect your ability to carry out assigned course work, we urge you to contact the Disabled Student Services office (DSS), Educational Communications Center (ECC) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and that documentation is confidential. Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site:

Disruptive Behavior: Stony Brook University expects students to maintain standards of personal integrity that are in harmony with the educational goalsof the institution; to observe national, state, and local laws and University regulations; and 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, and/or inhibits students' ability to learn.