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MTH 121 Syllabus

1. Course Information

Staff

Instructor

Michael Casper

  • Email: mjcasper@buffalo.edu

  • Office Hours: Mon 3-5pm, Wed 4-5pm, Fri 3-4pm

  • Office: Room 222 Math Building

Recitation

Xavier Stanton

  • Section(s): A1, A2, A3, B1

  • Email: xtstanto@buffalo.edu

  • Office Hours: Tues 8-10am

  • Office: Room 140 Math Building

Hiruja Mahagedara

Materials

  1. Textbook: Calculus and Its Applications by L. Goldstein, D. Schneider, D. Lay and N. Asmar

    • Chapters 0-6

    • Any edition is sufficient

    • The access code that comes bundled in new copies is not needed.

  2. Blank 8.5’‘x11’’ printer paper. Bring with you to every class.

  3. Lecture Note, Example, and Homework template pages.

  4. Name Plate. This will be given to you during the 2nd week of class (or sooner).

  5. Smartphone with the Gradescope app installed.

  6. Calculator: Texas Instruments TI-30XIIs.

Important Dates

Assessment Dates

AssessmentDayDate
Midterm Exam 1FridayMarch 6th in class
Midterm Exam 2FridayApril 17th in class
Final ExamWednesdayMay 13th at 3:30pm-5:30pm
1st Attempt Checkpointevery Wednesdayin lecture (starting week 2)
2nd Attempt Checkpointevery Mondayin recitation (starting week 4)
3rd Attempt Checkpointlast day of lecture(optional)
Participation Assignmentsrecurringcollected during every lecture and recitation meeting
Homework Assignmentsrecurringcollected every Monday at 11:59pm

University Dates

University DatesDayDate
First Day of ClassesWednesdayJanuary 21
Last Day to Add / DropWednesdayJanuary 28
Mid-Semester Grades PostedTuesdayMarch 10
Spring RecessMon. - Sat.March 16-21
60% Attendance DateThursdayMarch 26
Last Day to ResignTuesdayApril 14
Last Day of ClassTuesdayMay 5
Final Grades PostedThursdayMay 21

Content Calendar

WeekDatesLearning OutcomesTextbook
11/21 - 1/23TL1 - TL31.1 - 1.3
21/26 - 1/30TL3 - TL51.4 - 1.5
32/2 - 2/6TL6 - BD11.5 - 1.8
42/9 - 2/13BD2 - BD51.5 - 1.8
52/16 - 2/20DG1 - DG42.1 - 2.4
62/23 - 2/27DG4 - DG52.1 - 2.4
73/2 - 3/6DO1 - DO32.2 - 2.6
83/9 - 3/13DO4 - DO52.3 - 2.6
93/16 - 3/20No classSpring Recess
103/23 - 3/27DO6 - AD22.7 - 3.1
113/30 - 4/3AD3 - AD53.2 - 3.3
124/6 - 4/10EL1 - EL34.1 - 4.4
134/13 - 4/17EL4 - EL54.5 - 5.1
144/20 - 4/24EL6 - I25.1 - 6.1
154/27 - 5/1I3 - I46.2 - 6.4
165/4ReviewReview

2. Assessment Grading

This course will use a combination of partial credit grading and M/P/U grading.

M/P/U Grading

The problems in the participation and homework assignments will not be graded individually, but instead a single grade will be given for each assignment as a whole. Checkpoint exam questions will be graded individually.

ScoreNameCredit2nd AttemptSpecifications
MMeets Expectationsfull creditN/Aall met
PProgressingno crediteligiblenot all met
UUnsatisfactoryno creditineligbleinsufficient effort or unexcused absence

Specifications

Your score for each assessment will be determined according to the following specifications.

  1. Neatness: Your handwriting should be very neat and legible.

  2. Template: Should be used for all participation and homework assignments.

  3. Mathematically Mature: Your work should include all correct notation introduced during lecture, and should be presented in a logical order.

  4. Sufficient Work: We are looking to see that all necessary steps in your solution are shown. While the answer is important, the work leading to that answer is also very important.

  5. Correct Answer: Your solution might have a few minor errors as long as they do not detract from your overall response. For any in-class participation problems, the correct answer is not usually required.

  6. Sufficient Effort: Your work should look like you have put in the time to learn the material and successfully complete the assignment or problem.

2nd Attempts

Any assessment graded as (P) Progressing can be attempted again for full credit. Note that any assessment graded as (U) Unsatisfactory is ineligible for a 2nd attempt.


3. Course Grading

Your final average will be calculated by averaging your scores with the weights listed in this section. Your letter grade will then be found by applying the cutoffs to your final average. There are four assessment categories: participation, learning checks, midterm exams, and final exam.

Weights and Cutoffs

Final Average Weights

AssessmentWeights
Participation15%
Learning Checks25%
Highest Midterm Exam22.5%
Lowest Midterm Exam12.5%
Final Exam25%

Curve and Rounding Policy: There is not a curve in this course. Final averages will only be rounded (up or down) to the nearest tenth.

Explanation of Failing Grades (F1, F2, F3)

Explanation of Incomplete Grades

Letter Grade Cutoffs

Final Average (xx)Letter Grade
93x10093\leq x \leq 100A
90x<9390\leq x < 93A-
87x<9087\leq x < 90B+
83x<8783\leq x < 87B
80x<8380\leq x < 83B-
77x<8077\leq x < 80C+
73x<7773\leq x < 77C
70x<7370\leq x < 73C-
67x<7067\leq x < 70D+
60x<6760\leq x < 67D
0x<600 \leq x < 60F

Participation

Your final grade for the participation category will be calculated as the percentage of participation assignments scored as (M). To calculate this yourself: count up how many participation assignments you successfully complete and divide by the total number of assignments.

Learning Checks

Each course learning outcome will directly be assessed by a Learning Check. To earn your Learning Check for a specific outcome, you must receive both of the following:

  1. (M) on the applicable Homework Set.

  2. (M) on the applicable Checkpoint Exam Question.

Your final grade will then be calculated as the percentage of total possible Learning Checks you earn. To calculate this yourself: count up how many learning checks you successfully earn, and divide by the total number of possible checks.

HW and Participation Passses

To allow for some flexibility and absent days, every student is given a variety of passes for the semester. Each pass grants full credit for one missed or incomplete assignment.

These passes are automatically applied at the end of the semester in whichever configuration gives you the highest final average.


4. Course Rules

The following course rules are enforced to ensure a fair and distraction-free learning environment for all students, including yourself.

Academic Integrity

  1. All students must adhere to the university’s policies and procedures on Academic Integrity.

  2. All work must be your own. Work copied from another student or resource is considered an integrity violation.

  3. Work derived from ChatGPT or some other AI / LLM source is considered an integrity violation.

Classroom Behavior

  1. Anyone arriving late or leaving early should do so silently.

  2. Packing up before class dismissal is prohibited.

  3. Full meals should not be brought into the classroom. Small snacks and drinks are fine.

  4. Talking during a lesson is prohibited.

  5. You class name-plate should be displayed at all times.

  6. Engaging in some other activity unrelated to what we are currently doing in lecture is prohibited.

Electronic Devices

  1. Using electronic devices during class is prohibited, unless expressly allowed by the instructor.

  2. All electronic devices need to be physically put away in your pocket or bag.

  3. The TI-30XIIs calculator can be used during class time, exceept during checkpoint exams.

  4. Tablets may be used to take handwritten notes, but cannot be used for any other purpose.

Rule Violations


5. Course Policies

Attendance

Attendance is mandatory at all lectures and recitations. Anyone arriving more than 5 mintues late will be considered absent, and will receive a 0 for that day’s participation.

Calculator Policy

The Texas Instruments TI-30XIIs scientific calculator is the only calculator allowed for the midterm and final exams. No calculators are allowed on the checkpoint exams, unless explicitly announced by the instructor.

Communication Policy

UB Learns should be checked daily for any course announcements or updates. All communication with the instructor should be done at office hours, immediately before or after lecture, or through the appropriate paper forms in class. Email should only be used for personal matters.

All materials prepared and/or assigned by me for this course are for the students’ educational benefit. Other than for permitted collaborative work, students may not photograph, record, reproduce, transmit, distribute, upload, sell or exchange course materials, without my prior written permission. “Course materials” include, but are not limited to, all instructor-prepared and assigned materials, such as lectures; lecture notes; discussion prompts; study aids; tests and assignments; and presentation materials such as PowerPoint slides, Prezi slides, or transparencies; and course packets or handouts. Public distribution of such materials may also constitute copyright infringement in violation of federal or state law.

Exception Policy

Requests for individual exceptions to any course policy, rule, or assessment will not be granted.

Exam Make-up Policy

A make-up exam will only be offered in the event of an emergency situation, severe illness, religious holiday, university sport conflict, or university recognized exam conflict.

All make-up requests need to be submitted within 24 hours of the missed exam by email to the instructor. You will then need to submit the Excused Absence Form in person with sufficient written documentation for your absence. Notes from virtual doctor’s visits are not sufficient.

Late Policy

Late submission are not accepted for any reason. All assessments are due by the posted date and time, or when collected in class.

Regrade Policy

Student Initiated: Any request for an assessment regrade must be made in writing within 5 business days from when it is returned to the class. All requests must be submitted in writing using the Regrade Request Form.

Instructor Initiated: The instructor reserves the right to regrade any previously graded assessments for any reason.

6. University Information

Accessibility Resources

If you have any disability which requires reasonable accommodations to enable you to participate in this course, please contact the Office of Accessibility Resources in 60 Capen Hall, 716-645-2608 and also the instructor of this course during the first week of class. The office will provide you with information and review appropriate arrangements for reasonable accommodations.

Controlled Enrollment

This is a Controlled Enrollment Course. If you need to repeat this course in the future you may be forced to do it in a UB summer or winter session. Registering to repeat this course in a Fall or Spring semester may be difficult or impossible. For more info see the Repeat Policy in the UB Undergraduate Catalog.

Failing Grades

Any student who earns an F will be assigned a grade of F1, F2, or F3 based on their level of participation as follows:

Incomplete Grades

A grade of incomplete (“I”) indicates that additional course work is required to fulfill the requirements of a given course. Students may only be given an “I” grade if they have a passing average in coursework that has been completed and have well- defined parameters to complete the course requirements that could result in a grade better than the default grade. An “I” grade may not be assigned to a student who did not attend the course. Prior to the end of the semester, students must initiate the request for an “I” grade and receive the instructor’s approval. Assignment of an “I” grade is at the discretion of the instructor.

Students who are making up an incomplete, must contact the Math Undergraduate Office in Math Building room 233 and fill out the Incomplete Petition Form. Such students must not be registered in the course.

Accessibility and WeBWorK

The University at Buffalo is committed to ensuring digital accessibility for people with disabilities. We are continually improving the user experience for everyone and applying the relevant accessibility standards to ensure we provide equal access to all users. If you experience any difficulty in accessing the content or services on WeBWorK, we will provide an alternative means of access to the information and services presented through WeBWorK. To request assistance or provide suggestions about improving the user experience, please contact the Mathematics Department via email (mjcasper@buffalo.edu) or phone (716-645-8779).

UB Portfolio

If you are completing this course as part of your UB Curriculum requirements, please select an ‘artifact’ from this course that is representative of your learning and save it in a safe location with a clear title. Your final UB Curriculum requirement, UBC 399: UB Curriculum Capstone, will require you to submit these ‘artifacts’ as you process and reflect on your achievement and growth through the UB Curriculum. Artifacts include homework assignments, exams, research papers, projects, lab reports, presentations, and other coursework. For more information, see the UB Curriculum Capstone website.

Critical Campus Resources

Sexual Violence: UB is committed to providing a safe learning environment free of all forms of discrimination and sexual harassment, including sexual assault, domestic and dating violence and stalking. If you have experienced gender-based violence (intimate partner violence, attempted or completed sexual assault, harassment, coercion, stalking, etc.), UB has resources to help. This includes academic accommodations, health and counseling services, housing accommodations, helping with legal protective orders, and assistance with reporting the incident to police or other UB officials if you so choose. Please contact UB’s Title IX Coordinator at 716-645-2266 for more information. For confidential assistance, you may also contact a Crisis Services Campus Advocate at 716-796-4399.

Health Services: As a student you may experience a range of issues that can cause barriers to learning or reduce your ability to participate in daily activities. These might include strained relationships, anxiety, high levels of stress, alcohol/drug problems, feeling down, health concerns, or unwanted sexual experiences. Counseling, Health Services, and Health Promotion are here to help with these or other issues you may experience. You can learn more about these programs and services by contacting:

7. Learning Outcomes

All learning outcomes listed here will be assessed on a participation assignment, learning check, midterm exam, and final exam.

Tangent Lines (TL)

NumberLearning OutcomeTextbook Sections
TL1Find the equation of a line.1.1
TL2Graphically estimate the slope of a curve at a point.1.2
TL3Calculate the derivative of a function using power rule.1.3
TL4Find the equation of a tangent line.1.3
TL5Compute the value of a limit graphically.1.4
TL6Compute the value of a limit algebraically.1.4
TL7Find the derivative of a function using the limit definition of derivative.1.4
TL8Determine if a function is continuous and / or differentiable at a number.1.5

Basic Derivative Rules (BD)

NumberLearning OutcomeTextbook Sections
BD1Calculate the first derivative of a function using basic derivative rules.1.6
BD2Calculate the first derivative of a function using the general power rule.1.7
BD3Find the second derivative of a function.1.7
BD4Calculate the instantaneous rate of change of a function including units.1.8
BD5Use derivatives to solve problems related to motion in a straight line.1.8

Derivatives and Graphs (DG)

NumberLearning OutcomeTextbook Sections
DG1Use the graph of ff to find its intervals of increase / decrease.2.1
DG2Use the derivative ff' to find the intervals of increase / decrease for original function ff.2.2
DG3Use the graph of ff to find its intervals of concavity and inflection points.2.3
DG4Use the second derivative ff'' to find the intervals of concavity and inflection points for original function ff.2.3, 2.4
DG5Given information about ff, ff' , ff'' determine the behavior of ff, ff' , ff'' as related to increasing/decreasing, concavity, and extrema.2.3, 2.4

Derivatives and Optimization (DO)

NumberLearning OutcomeTextbook Sections
DO1Find and classify any critical numbers using the First Derivative Test.2.2, 2.3
DO2Find and classify any critical numbers using the Second Derivative Test.2.2, 2.3
DO3Use the Extreme Value Theorem to find and classify the absolute extrema on a closed interval.2.2, 2.3
DO4Solve a constrained optimization problem using derivatives.2.5, 2.6
DO5Solve an applied optimization problem using derivatives.2.5, 2.6
DO6Calculate marginal cost, revenue, and profit functions.1.7
DO7Solve an optimization problem involving cost, revenue, and profit.2.7

Advanced Differentiation (AD)

NumberLearning OutcomeTextbook Sections
AD1Use the product rule to differentiate a function.3.1
AD2Determine, graphically, the intervals where ff' and ff'' are positive and negative.Use the quotient rule to differentiate a function.3.1
AD3Differentiate a composite function using chain rule.3.2
AD4Use implicit differentiation to find an expression for the derivative.3.3
AD5Use implicit differentiation to solve related rates problems.3.3

Exponential and Logarithmic Functions (EL)

NumberLearning OutcomeTextbook Sections
EL1Calculate derivatives involving the natural exponential function.4.1, 4.2, 4.3
EL2Calculate derivatives involving the natural logarithmic function.4.4, 4.5
EL3Calculate derivatives of composite functions involving the natural exponential and logarithmic functions.4.3, 4.5, 4.6
EL4Use logarithmic properties to help differentiate a complicated function.4.6
EL5Use the growth model to answer questions about a quantity undergoing exponential growth5.1
EL6Use the growth model to answer questions involving compound interest.5.2
EL7Use the decay model to answer questions about a quantity undergoing exponential decay.5.1

Integration (I)

NumberLearning OutcomeTextbook Sections
I1Calculate an indefinite integral using basic antiderivative rules.6.1
I2Calculate a definite integral using the Fundamental Theorem of Calculus.6.2
I3Calculate the area under the graph of a function using definite integrals.6.3
I4Calculate the area between two curves using definite integrals.6.4

Meta - Outcomes

Mastering the above itemized learning outcomes means a student is able to: