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MAT 122 - Overview of Calculus with Applications

Course Instructor: Mark McLean (mark.mclean AT stonybrook.edu)

Course Information

Course Description

The basics of calculus in a self-contained, one-semester course. Properties and applications of polynomial, exponential, and logarithmic functions. Derivatives: slopes, rates of change, optimization, integrals, area, cumulative change, and average. The fundamental theorem of calculus. Emphasis on modeling examples from business.

Prerequisites

C or better in MAP 103 or level 3 on the mathematics placement exam (Prerequisite must be met within one year prior to beginning the course.)

Textbook

Applied Calculus by Shana Calaway, Dale Hoffman, David Lippman.

Lecture Times

Lectures are on Tuesday and Thursday from 2pm until 3:20pm in Earth&Space 001

Office Hours

Tuesday and Thursday 11-12 in the math tower, room 3-112

Course Resources

  1. Office Hours: You can attend the office hours of the course instructor or your recitation instructor. Find times and locations on the Department Office Hours page.
  2. Math Learning Center: For additional tutoring and support, please see the Math Learning Center schedule.

Grading System

Grades will be curved. Here are estimates for grade cutoffs, but these will most likely change.

Exams

There will be four midterms held during class hours. Your lowest midterm score will be dropped. There will also be a final exam covering all the material.
Component Percentage
Midterm 1 16%
Midterm 2 16%
Midterm 3 16%
Midterm 4 16%
Final Exam 31%
Homework 5%

Homework

Homework will be assigned according to the schedule below. It will be online homework set on Brightspace. There will also be practice questions assigned that won't be graded. There will be a total of 8 online homework sets. The bottom 2 grades from these 8 online homework sets will be dropped.

Schedule

Week & Day Date Chapter & Section Homework
Week 1 TuesdayAugust 25Chapter 1 Section 1: Functions
Week 1 ThursdayAugust 27Chapter 1 Section 2: Operations on Functions
Week 2 TuesdaySeptember 1Chapter 1 Section 3 and 4: Linear Functions and ExponentsHomework 1 set on brightspace
Week 2 ThursdaySeptember 3Chapter 1 Section 5 and 6: Quadratics and Polynomials and Rational Functions
Week 3 TuesdaySeptember 8Chapter 1 Section 7 and 8: Exponential Functions and Logarithmic FunctionsHomework 1 due by 5pm
Week 3 ThursdaySeptember 10Midterm Exam 1 in class.
Covers chapter 1 sections 1-8
Week 4 TuesdaySeptember 15Chapter 2 Section 1: Limits and ContinuityHomework 2 set on brightspace
Week 4 ThursdaySeptember 17Chapter 2 Section 2: The Derivative
Week 5 TuesdaySeptember 22Chapter 2 Section 3: Power and Sum Rules for DerivativesHomework 3 set on brightspace.
Homework 2 due by 5pm
Week 5 ThursdaySeptember 24Chapter 2 Section 4: Product and Quotient Rules
Week 6 TuesdaySeptember 29Chapter 2 Section 5: Chain RuleHomework 3 due by 5pm
Week 6 ThursdayOctober 1Chapter 2 Section 6: Second Derivative and Concavity
Week 7 TuesdayOctober 6Midterm Exam 2 in class.
Covers chapter 2 sections 1-5
Week 7 ThursdayOctober 8Chapter 2 Section 7: OptimizationHomework 4 set on brightspace
Week 8 TuesdayOctober 13No Class (Fall Break)
Week 8 ThursdayOctober 15Chapter 2 Section 8: Curve SketchingHomework 5 set on brightspace.
Homework 4 due by 5pm
Week 9 TuesdayOctober 20Chapter 2 Section 9: Applied Optimization
Week 9 ThursdayOctober 22Chapter 2 Section 10 and 11: Other Applications and Implicit Differentiation and Related RatesHomework 5 due by 5pm
Week 10 TuesdayOctober 27Midterm Exam 3 in class.
Covers chapter 2 sections 6-11
Week 10 ThursdayOctober 29Chapter 3 Section 1: The Definite IntegralHomework 6 set on brightspace
Week 11 TuesdayNovember 3Chapter 3 Section 2: The Fundamental Theorem and Antidifferentiation
Week 11 ThursdayNovember 5Chapter 3 Section 3: Antiderivatives of FormulasHomework 7 set on brightspace.
Homework 6 due by 5pm
Week 12 TuesdayNovember 10Chapter 3 Section 4: Substitution
Week 12 ThursdayNovember 12Chapter 3 Section 5: Additional Integration TechniquesHomework 8 set on brightspace.
Homework 7 due by 5pm
Week 13 TuesdayNovember 17Chapter 3 Section 6: Area, Volume, and Average Value
Week 13 ThursdayNovember 19Chapter 3 Section 7: Applications to BusinessHW8-due
Week 14 TuesdayNovember 24Revision
Week 14 ThursdayNovember 26No Class (Thanksgiving Break)
Week 15 TuesdayDecember 1Midterm Exam 4 in class.
Covers chapter 3 sections 1-7
Week 15 ThursdayDecember 3Revision
Week 17 ThursdayDecember 17Final Exam: 11:15 AM - 1:45 PM (Location TBD).
Covers all course material

AI Policy

Use of AI tools is not allowed to obtain solutions of homework problems or any other assignments or tests. All work you submit should be your own, without any AI assistance.

Disability Support Services (DSS) Statement:

If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, (631) 632-6748, or at sasc@stonybrook.edu. They will determine with you what accommodations 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 the Student Accessibility Support Center. For procedures and information go to the following website: https://ehs.stonybrook.edu//programs/fire-safety/emergency-evacuation/evacuation-guide-disabilities and search Fire Safety and Evacuation and Disabilities.

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 is 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 http://www.stonybrook.edu/commcms/academic_integrity/index.html.

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 Student Conduct and Community Standards 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. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.